diff --git "a/data/dm_maths/full_data_2/10145_11255.jsonl" "b/data/dm_maths/full_data_2/10145_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10145_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is next in 354, 1333, 2936, 5163, 8014, 11489, 15588?\nAnswer: 20311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.6 - 5.5967. Round t to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -92468*b**2 - b - 8. Let o be g(-7). Let y = 719067 - o. What is y rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 4*h - 6. Let x be r(-6). Let d be 12\/(-10)*(-105)\/14. Suppose 33 = 12*t + d. What is the highest common divisor of t and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 4*n + 2. Let w be y(-5). Let z be 6 - 0\/(w + 2). Let r = 38 - 14. What is the highest common divisor of r and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.37 + -355.63. Let j = 356.98 + p. What is j rounded to 1 decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189344 and 1403?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 6*l - 9. Suppose 0 = -5*s + 5, o - l + 3 = -2*s. Let 0 + 0*p**3 - 1\/3*p + 2\/3*p**2 - 2\/3*p**o + 1\/3*p**5 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 2 - (252 + -252).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let c = v + -1. Let i be 88\/(-24)*228\/(-44). Solve -c = -5*o + i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -48. Sort t, 10, -4 in decreasing order.\nAnswer: t, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/70)\/((-12)\/14)*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*y**3 + y**2 - 134*y**3 - y**2.\nAnswer: 30*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 11*b + 3. Let a(c) = -c**2 - 11*c - 2. Let q(m) = 3*a(m) + 2*y(m). Is 15 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -30. What is the tens digit of y\/(-4) - (-1050)\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 + 69*i**2 + 1 - 22*i**2 + 0 - 29*i**3 - 30*i**2 wrt i?\nAnswer: 240*i**3 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l**3 + 30839*l**2 - 30839*l**2.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j + 4207 - 5179 = 0 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (-21 + 25 + -20)) + -6\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((32*-12)\/(-6))\/(4\/278). Let r = m + -3157. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 - 79 = 77*r. Let f(y) = 4*y**2. Let i be f(-2). Solve -15*u - i*u**2 + 8*u**2 + 13*u**r = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2070 and 19\/368.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2. Suppose -2*m + 4*r = -0*r, 0 = 4*r. Suppose -2*z = -4*y + 24, 4*y + m*z + 3*z = 14. Let c(h) = 5 - 3*h**2 - y. Determine u(c(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -356220000 rounded to the nearest one million?\nAnswer: -356000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by 2395.\nAnswer: -132\/2395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1038 + 1041. Sort -4\/5, 0.29, -0.2, z.\nAnswer: -4\/5, -0.2, 0.29, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17825807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -17. Let v = 16.1 + m. Let u = -13 + 18. Which is the nearest to 2\/3? (a) u (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 16 = h, -4*t = 3*h - 2*h - 16. Let j(c) = c**2 + 4*c - 59. Calculate the least common multiple of j(-11) and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 23, 21, -71, -8, 0 in increasing order.\nAnswer: -71, -8, -5, 0, 21, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 856952 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 2*d - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t*(t*t*t**26*t)\/t)\/t*t)*t))\/(t\/(t*t**(-10)\/t*t)))\/(t**1*t**(6\/7)) assuming t is positive.\nAnswer: t**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**4 + 6*h**3 - 17*h**2. Let f(a) = -7*a**4 - 5*a**3 + 16*a**2. Let s(k) = -6*f(k) - 5*l(k). Find the third derivative of s(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 51, 75 in ascending order.\nAnswer: -1, 5, 51, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -152581.61029809.\nAnswer: -152581.11029809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153617?\nAnswer: 23, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 12:30 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.5 + -14.955. Let k = s - -0.055. Let v = -1.2 - -1. Put k, v, 1 in descending order.\nAnswer: 1, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8606783 and 721.\nAnswer: 60247481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -35*k**2 + 55*k - 13. Determine x(5).\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f + 2*f + 73*f - 13*f + 62*f - 9*f.\nAnswer: 105*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59, 128, 221, 350, 527, 764, 1073?\n\"Answer: 2*g**3 + 55*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 861c03 + 5?\nAnswer: 861c08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6289 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 20, 1131, -0.1.\nAnswer: -0.1, 9, 20, 1131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 + 44. Put 0.4, -5, -1\/5, l in ascending order.\nAnswer: l, -5, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 76 + (-16 - -10 - (-2 - (-10 - -5)))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1321 is divided by 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**35*j)\/j*j**(4\/11) assuming j is positive.\nAnswer: j**(389\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 8 = v. Factor 6*a**v + 2*a**4 + 7*a - 2*a - 3*a + 6*a**3 + 0*a.\nAnswer: 2*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10311 (base 4) to base 12.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -1\/106 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 19 = -5*u, -65*g = -36*g - 33*g - 10*u + 62 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/145? (a) 0.1 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 515881900649 and 0.04?\nAnswer: 515881900648.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6191021 take away 2626003?\nAnswer: -8817024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -975993534695510.0000003 + 975993396062946. Let j = f - -138632573. Let p = 9 - j. What is p rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 328\/(-18) + 2\/9. Let a(d) = 4*d**3 + d**2 + 6*d - 15. Let l be a(2). Let r = l + b. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*r = 5, 2*r + 22 - 5 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79967124 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*y - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362010 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -1\/2, -2\/3, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 8. What is the remainder when 9 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2\/1611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -660 + 737. Calculate the remainder when c is divided by (-4)\/(-8) + (-53)\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -47*i - 2. Let u(w) = -w - 1. Let y(h) = a(h) - u(h). Let z be y(-1). Suppose -7*v - z = -12*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1215090 by 2935.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76622.8 or -9?\nAnswer: -76622.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391567134 to the power of 1\/3, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 6 = -2*a - 5*h, -2*a + 2*h = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -49, 853, 2, -4, 4, 6 in decreasing order.\nAnswer: 853, 6, 4, 2, -2, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 2*v + 2. Let d be f(2). Let g be ((-4)\/d)\/((-32)\/(-12)). Which is the biggest value? (a) 4\/5 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 442263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**8\/112 + u**7\/35 - u**6\/40 - u**5\/10 - 2*u**2 - 1. Let d(j) be the second derivative of b(j). Factor d(r).\nAnswer: 3*r**2*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5629, 44954, 151687, 359530, 702185, 1213354, 1926739?\n\"Answer: 5617*l**3 + 2*l**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 11:11 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (44 + -37 - (10 + -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 936442577 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.01. Let d = 27183855 + -27183855.19000057. Let t = a + d. What is t rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 5*q**2 + 4*q + 5. Let j be r(5). Suppose -p - 2 = -3*g + 9, 5*p + g = j. What is the second derivative of 2*d - 2*d + d**p + d wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*m - m + 12 = 0, -5*h = -5*m + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -15. Calculate the remainder when -5 + (-2 - 40\/(-6)) + (-1048)\/(-12) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.3821278801 - -6.\nAnswer: -2.3821278801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 + 4*s**2 - 7*s + 16. Let x be l(-5). Suppose 0 = -3*g + 4*n + 1711, -g - 3*n + x + 40 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6999.\nAnswer: 3, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*w - 115453 + 230963 - 115510.\nAnswer: -535*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1\/4, 6, 0.06, 2, 5.\nAnswer: -24, -1\/4, 0.06, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -118*v**2 - 7*v - 9. Let a(x) = 236*x**2 + 13*x + 17. Let s(t) = 6*a(t) + 11*r(t). Does 9 divide s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/6)*(y\/y**(-1\/6))\/y)\/((y**14\/y)\/(y*y**(-4))))**30 assuming y is positive.\nAnswer: y**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3432, 3483, 3618, 3879, 4308, 4947, 5838?\nAnswer: 7023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - 2) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59.5 + -59.203. Let f = 0.053 + b. Let t = -0.17 - f. What is t rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-2)**2 + (sqrt(132)*1 + sqrt(132))\/sqrt(12).\nAnswer: 2*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52015043.\nAnswer: 52015043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 206 = -102. What is the smallest common multiple of y and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjsj. Give prob of picking 1 s and 2 j.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -17*f**4\/24 - f**3\/2 + 7*f**2 - 20. Calculate c(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**5\/330 + p**4\/132 - 2*p**3\/33 + 3*p**2\/2 + 11. Let o(q) be the second derivative of f(q). Suppose o(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -115\/6. Is y equal to -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 6 + -11 - (-750 - 10)\/8. Solve 2*s = c*s - 89 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1323303122223?\nAnswer: 1323303122233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.2179950714 + 5.4545671928. Let y = 0.5725635342 - w. Let u = y - -27.1. What is u rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2694.6 + -2695. Let z = -1\/10 + 13\/30. Which is the closest to 0.1? (a) -2 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2 = -i + 2*k, -2*k = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 13. Let k = f + -11. Let y(p) = p**2 + 2*p - 4. What is the tens digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.03 + -21. Let x be (9\/21)\/(144\/168). Which is the third biggest value? (a) u (b) x (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-2*x + 3*x - 9*x) + 0 + 0 - 3*x + (-x - 9*x + 3*x)*(-3 + 0 - 1).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**5\/4 + 3025*i**4\/2 - 421385*i**3\/4 + 302455*i**2 + 6035*i - 403280 = 0.\nAnswer: -1, 2, 71, 1136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 15*n - 39. Let g be t(-2). Is 0 - (-10)\/g - 860\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 - 25*u)*(-5*u**4 + 3*u - 3*u)*(-3 + 6 + 0).\nAnswer: 375*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 521 + 7.5594019\nAnswer: 528.5594019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*m = -3 - 3, 5*n + 5*m = 0. Let i be 3 - n*4\/8. Let g be i\/14*(-21)\/9. Which is the third biggest value? (a) g (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 1137.\nAnswer: 17\/1137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:07 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -336, -335, -334, -333, -332?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*n + 2 = 15, 0 = n + 5. Let p = -15 - w. Let b(h) be the third derivative of -h**5\/60 - h**4\/8 - h**3\/3 - 16968*h**2. What is b(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 + 3*i + 7. Let d(h) be the second derivative of -h**4\/6 + h**3\/6 + 3*h**2\/2 - 5*h. Determine -2*c(s) + 5*d(s).\nAnswer: -2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*x - 28, -10*x = -3*u - 2410 + 2438 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -21?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 1528.\nAnswer: 84040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-7\/2))**(10\/7)\/(f*f\/f**(-11\/4)*f*f**(-22)\/f) assuming f is positive.\nAnswer: f**(663\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -8624 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 334292753 to the power of 1\/2, to the nearest integer?\nAnswer: 18284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i - 1156 - 804 + 342 = 142 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 8108087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*o**4 + 51516*o**2 + 31485548*o wrt o.\nAnswer: -84*o**2 + 103032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 22 = -3*b, -8 = -2*b - 16. Put -24, 0, 5, w in descending order.\nAnswer: 5, w, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Suppose 5*o = 5*j + 15, -i*o = 4*j - 17 - 7. Let v(f) = 2*f**2 + 1. What is the units digit of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.01 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 5*a - 4*a + (-3 + 2*a + 3)*(0 + 2 + 1) - 16*a + 153 - 153.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172.8 + -0.7777983.\nAnswer: -173.5777983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f - 4. Let d be m(12). What are the prime factors of ((-2)\/(-4))\/(0 + 4\/d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-34) + (-18)\/153. Is (p - (-80)\/(-15))\/(6\/(-9)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14 - 63637*k - 63673*k + 127284*k. Give t(6).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3298 times -5?\nAnswer: -16490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 5 - 7)*(-54 - 31 + 30) + 4 - 3 - 3)*(1 - 1 - n + (-2 - 2 + 6)*(-4*n + n + n)).\nAnswer: -2190*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Solve -2*l = -c*n, 2*n - 21 = 5*l - 0*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46980 and 89698914.\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*u - 1, -682*u = 4*p - 680*u - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252\/101 + 1462\/505. Let s(q) = -q - 1. Let f be s(7). Let l = -8 + 8.3. What is the biggest value in l, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6738071 and -0.3.\nAnswer: 2021421.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 570246 and 2828.\nAnswer: 7983444","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137 and 8631.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 27*n - 203. Let q(s) = 3*s**2 - 21*s + 8. Let d be q(7). Let t be i(d). Solve t*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124*h**2*k**2*w + 2*h**2 - 74*h*k**5*w + 3*h*k*w - 6*h*w + 77*k*w + w wrt k.\nAnswer: 248*h**2*w - 1480*h*k**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 + 44.91. Let m = j - 71. Let r = m - -26.1. Which is the second biggest value? (a) 0.2 (b) 21 (c) 1\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2396 = -7*s + k, 4*k + 4005 = 5*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*u + 30*u - 69*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*m**2*y**3 - 2*m**2*y**2 + 2*m*y**5 + 8*m*y**3 - 63*y**2 wrt y?\nAnswer: -132*m**2 + 120*m*y**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2466172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92932*j*r**2 - j*r + 11*j + r**4 + 146*r - 2 wrt r.\nAnswer: 185864*j + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:36 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v - 18*v = 3096. Let c(l) = 3*l**2 - 4*l + 1. Calculate the remainder when v is divided by c(-4).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*j + 1. Let u = 2 - j. Calculate the least common multiple of 11 and ((-3)\/6)\/u*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Let a(j) = j**2 - j. Let t(o) = -2*o**2 + 4. Let l(u) = -3*a(u) - t(u). Give l(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*5)\/((1*sqrt(24))\/sqrt(12)) + -1 + (sqrt(448) - (sqrt(448) + 0) - sqrt(448))*3)**2.\nAnswer: 28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 2*y + 2*y + y + 3*y - 3*y + (6 - 5 - 3)*(2*y + 0 + 0) + (-4 + 4 - 2)*(4*y + 0 + 0))*(5*y**2 - 200*y + 200*y).\nAnswer: -75*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.21.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-598)\/10 - 4\/20. Let o be ((-75)\/(-4) - 2)\/(15\/l). Let j = -62 - o. Solve 0 = -3*f + j - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3.3. Let h = 1.3 + -5.1. Let v = h - -4. What is the nearest to 2 in r, v, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1352944 and 8?\nAnswer: 1352944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*m - 0*m - 17, -3*m + 43 = 5*t. Let k = -6 + m. Factor -1\/2*o + 0 + o**2 + k*o**3 - o**4 + 1\/2*o**5.\nAnswer: o*(o - 1)**3*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3007*r**2 - 756*r - 2271. What is the units digit of g(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**2 - 5*j - 4. Let a(m) = -7*m**2 + 4*m + 3. Suppose 4*u = -5*x - 4, -5*u - 28 = 4*x - 8*u. Calculate x*q(w) - 5*a(w).\nAnswer: 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**6\/120 - 13*w**5\/20 + 37*w**4\/24 + 85*w**3\/6 - 8*w**2 + 2*w - 24. Give h(38).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s. Let j(n) = -4*n - 2*n + n - 3*n. Calculate -4*j(d) + 5*l(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345003 = -7522*l - 91273 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 37 = t, -3*t - 4 = c + 41. Let w = -4 + -28. Which is greater: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 20*u**5 + 3930*u**2 - 81*u**4 - 836*u**2 - 1045*u + 10360*u**3 + 1939*u**4 + 5104*u**2 + 2785*u = 0.\nAnswer: -87, -5, -1\/2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + t + 1. Let p(s) = -4*s**2 + 5*s + 5. Let i(f) = -5*c(f) + p(f). Let m(r) = 8*r**2. Give m(i(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 4*t - 4*t)*(-12 - 9 + 7).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -26, -12, 4, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 - (-4)\/10. Let s = 42033 + -42025. Solve c*n - n + s = -m, -2*n - 14 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.0969 + -0.0231. Let n = 3.72 + k. What is the second biggest value in 0.1, n, -70?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 556, 1836, 3970, 6958, 10800, 15496, 21046?\n\"Answer: 427*u**2 - u + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 1703 = -326. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(((-2)\/12)\/(326\/4890))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffw when three letters picked without replacement from gwfwwwgffifwfgww.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468 = -783*r + 747*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 3*sqrt(88)*-4)\/sqrt(11).\nAnswer: -22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-13 - -11 - (-2 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170837?\nAnswer: 170837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1244018 (base 11) to base 7\nAnswer: 24224202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -74*l**2 + 215*l**2 - 75*l**2 - 67*l**2. Let s(c) = 72*c. Let y(t) = -359*t. Let j(h) = -33*s(h) - 6*y(h). Calculate f(j(z)).\nAnswer: -49284*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let x = -10 + 12. Let l(m) = -193 + 193 + 3*m**x. Calculate l(f(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.5 and 1.1.\nAnswer: 4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-198)\/30)\/11)\/(6\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18528131 plus -535?\nAnswer: -18528666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14441 - -39530. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.61 + 0.56. Let z be (-34)\/(-40) + 18\/60*-2. Let x = -378\/5 - -75. Which is the closest to r? (a) z (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 533488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**4\/8 + 8*v**2. Let l(z) = 4*z**2. Determine d(l(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggwwgggwwwwggwgg. Give prob of sequence gggg.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2 - 0. Let d be i\/(18\/(-24))*(-18)\/(-4). Let o(y) = 8*y - 13. Let a be o(d). Solve 3*s + 2*x = 6*x + a, 3*s = -3*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2654 (base 11) in base 8?\nAnswer: -6567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + g + 44 = 3*n, -2*n = 2*g - 12. Let t = 17 - n. What is the least common multiple of 10 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 10\/8 - 4. What is the third smallest value in -2\/7, r, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01037725751 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 318 (base 9) to base 3\nAnswer: 100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*b = -99, 29787*t - 9*b + 183 = 29790*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in years?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*-74\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29437, -57962, -85567, -112252, -138017, -162862, -186787?\nAnswer: -209792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*l - 254 - 538 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 183565300?\nAnswer: 1284957100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45.94 - -297.04. What is s rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*b + 29 - 57 = 0, 2*j - 2*b + 18 = 0. Let y be (1\/2)\/(2\/(-4)). Calculate the remainder when ((-174)\/(-30))\/(y\/j) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497690 take away -9?\nAnswer: 1497699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:51 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1*g*g**17*g*g*(g*g\/g**(2\/79)*g)**(-2\/103) assuming g is positive.\nAnswer: g**(170407\/8137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 3*c**2 + c**2)*(2*c + 4 - 4) + (-5*c**2 + 6*c**2 + 2*c**2)*(0*c + 21*c + 1 - 5*c).\nAnswer: 44*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 41277576 divided by 6\nAnswer: 6879596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 14 = -u - u, -2*f = 5*u - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -281, -276, -269, -260?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 3112313130?\nAnswer: 3112313123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, -2, -4, 2.\nAnswer: -16, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffdfffdffd. Give prob of sequence dfdd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.5 (b) 1306 (c) -0.0534\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - r = -0*b - 7, -15 = 5*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x = 141594 - 139494 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4305844, 4305843, 4305842?\nAnswer: 4305841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 926 + -771. Let h = q + -152. Solve -6*c = -h*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*o + 6*o, 3*a - 242550 = 4*o. List the prime factors of a.\nAnswer: 2, 40429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8812.824 millimeters in micrometers?\nAnswer: 8812824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 223916765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65468328*w**2 - 75504*w + 1535.\nAnswer: -130936656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4140 (base 7) in base 8?\nAnswer: -2651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -2*v + 95, -4*h + 127 + 43 = 5*v. Solve -v*s = -16*s - 18*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15276532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 15 = -3. Let d(n) = -n**3 - 6*n**2 + 2*n**3 + n - 5 + k - 2*n. What is d(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 201966946133 and -10.\nAnswer: 201966946123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 65*c + 19 + 6*c)*(4 - 4 - c) to h*c + f*c**2 + k and give f.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 305*s + 2617. What are the prime factors of q(-5)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5859 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1630*w**2 - 1631*w**2 - 2*w**6 + 0*w**6 - 48 - 60*w**5 wrt w.\nAnswer: -240*w**3 - 3600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026548543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2, -273*x = -2*s - 274*x - 3851. Are -1928 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150150 and 150150.\nAnswer: 150150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2*18\/3. Let n(w) = -w**2 + w. Give n(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -8, 0, 4 in decreasing order.\nAnswer: 16, 4, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9985001ug to nanograms.\nAnswer: 998.5001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -20449 (b) -4 (c) -3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 6*g - 3. Let f be a(-6). Let x = 57 + f. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -13. Let u be (0 - 57) + (3 - 1). Let f = u - -68. Solve 2*l - 19 = -5*p, -m*p - 4*l + 0 = -f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4517 is divided by 2916.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*v**5 + 4*v**4 + 26*v**3 + 47402*v**2 + 1.\nAnswer: 7080*v**2 + 96*v + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0*n**3 + 0*n + 0*n**4 - 1\/420*n**6 - n**2 + 0*n**5 + 0. Factor l(d).\nAnswer: -2*d**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/63389 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n + 2. Let l be k(-2). Let y = 28 - l. Calculate the highest common factor of 48 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x = -2*x - 7*x. What is the closest to x in -1\/2, 0.4, -140, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - -6) + -4 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 4864541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 5. Let z(f) = -16*f + 42. Let g(d) = -8*j(d) + z(d). Calculate g(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2602 = p, 14*f = 11*f + 5*p - 1578. Let a = f + 1172. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 11*n**5\/40 + 17*n**4\/24 - 16*n**3\/3 + 26*n**2. Let t(k) be the first derivative of l(k). Is t(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 24*m**2 + 16*m - 3. What is the tens digit of r(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64818 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**5 + f**5 + 7*f**5 + (-f + 2*f**5 + f)*(3 - 3 + 1) + f**5 + 0*f**5 + 0*f**5 - 2*f**5 + 3*f**5 + 4*f**5.\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -95000 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -43*o + 3. Let j(q) = 4600*q - 320. Calculate -3*j(c) - 320*r(c).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 4\/64979 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 4*n - 23, i + 3*n - 11 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/621 and -47\/12573.\nAnswer: 867537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 34665*g**3 - 34664*g**3 + 3*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**6\/105 - 11*x**5\/70 - 15*x**4\/14 - 27*x**3\/7 - 54*x**2\/7 + 89*x + 6. Determine h, given that k(h) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -171*l. Let q(f) = -f + 5. Let d(j) = -j + 4. Let g(y) = 5*d(y) - 4*q(y). What is s(g(h))?\nAnswer: 171*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*u + 5, -2*h - 3*u + 5 = -0. Let w be 9\/(-2) - 3\/6. What is the common denominator of h and (w\/9)\/((-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10673 in 15\/11, 0.4, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**2\/d)\/d)\/d*d)\/(d\/(((d*d**(-5))\/d)\/d*d)))\/(d\/(d\/((d\/(d*d*d**(-1\/2)\/d))\/d)))**(-15) assuming d is positive.\nAnswer: d**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -436, -3, -11 in ascending order.\nAnswer: -436, -11, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 4*t**2 - 5*t + 2. Let a = -14 + 9. Let j be l(a). Suppose f - 5*f - 4*m + 72 = 0, j*f - 31 = 3*m. 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*b = 9 - 1. Suppose 6 = -15*s + 17*s. Let v(c) = 4*c**3 + 0*c**2 - 3*c - 3*c**s + 299 - 303 - 2*c**2. Give v(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 73, 105, 135, 163?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 378*a**4 + 2054*a + 2*a**3 - 1872*a - 368*a**4 to c*a**2 + z*a**3 + u*a + t*a**4 + o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -397, -1604, -3609, -6412, -10013, -14412?\n\"Answer: -399*c**2 - 10*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0069909001 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -283.91*26\nAnswer: -7381.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 47877*m**2 + 63 - 47871*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-3))\/12)\/((-2)\/4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 46 + (-9 - 37) + (1 - -12) - -7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 2a8c?\nAnswer: 2a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 31. Let f(w) = 3*w + 21. Let c(q) = -7*f(q) + 5*z(q). Let r(b) = b**2 + 3*b + 3. Suppose 0 = -5*a - 24 + 4. Let l be r(a). What is c(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3425*r**5 - 2*r**4 + 689*r**3 - 15497086*r**2?\nAnswer: -205500*r**2 - 48*r + 4134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2, -1, -2\/129, 1\/5, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22211122 + -11?\nAnswer: -22211133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 88, 4, -190, -5 in decreasing order.\nAnswer: 88, 4, 0, -5, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/7320 and 27\/440?\nAnswer: 80520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -4683?\nAnswer: -4687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*s + 2*s - 20, 2*s - 10 = -2*c. Calculate the smallest common multiple of 1 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3964109 or 3964110?\nAnswer: 3964110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 5*a**2 + 8*a + 8. Determine x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 6. Let z be f(4). Suppose 0 = -3*q - 2*q + 20, -3*q + 34 = -o. Let k be -3*(3 + o\/6). Solve -2 = -s + p - 3, k*p = -z*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in -0.44, -1\/2, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 56*d + 58*d - 16 = 0, 64 = 4*y - 4*d for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 184409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5576.2 from 0.041.\nAnswer: -5576.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*p - 2*p - 4*l, p - 3*l = 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 13 = 5*j + 167, 3*j = -g + 55. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9674, -9623, -9560, -9479, -9374, -9239, -9068?\nAnswer: -8855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348601 is divided by 1599?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21828 = -5*j - 21748 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8 - 5*g**2 - 3*g**2 + g + 11*g**2 - 2*g**2. What is the remainder when 167 is divided by b(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453, -868, -1247, -1584, -1873?\nAnswer: -2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -69*y**5\/20 - y**4\/6 + y**3\/6 + y**2 + 5*y. Let t(p) = 3*p + 38. Let z be t(-13). What are the prime factors of l(z)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -15. Suppose -10 = 5*v, 0*v + 28 = l*r + 4*v. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 - 165 = 13*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 + 45*k**3 + 72*k**2 - 348*k - 576 = 0. What is k?\nAnswer: -2, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 10*n**4 - 84*n + 31. What is the derivative of m(p) wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2280 and 240?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77\/2 in 2, -102.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1031578990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dth when three letters picked without replacement from hkdkkthkhtkthtk?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -28. Suppose 4*c = a*c - 27. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 376997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i\/(i\/((i**21\/i)\/i)*i))\/i))\/i*i**24)\/(i**(-1\/19)*i**5*i*i))**(-35) assuming i is positive.\nAnswer: i**(-35\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**3 + m**2 - 1. Let u be q(1). Let l be (-4)\/10 + ((-496)\/(-40) - u). Solve 2*p - 4*b = 6, -3*b = -b + l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 84, 68, 52?\n\"Answer: -16*i + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*6\/(-8)*(-58)\/(-261). Which is the fourth smallest value? (a) -0.2 (b) w (c) 3 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.83296407 plus 1.4?\nAnswer: -94.43296407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 4\/7909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*v - 5*m + 160, -3*v + 94 = 2*m. Suppose -85 = -5*r + v. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 a factor of 3441803682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c - 101. Let x be w(14). Suppose 13*t = x*t + 1372. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 892 and 4197306.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**6\/120 + j**5\/20 - j**4\/24 - j**3\/3 + 3*j**2. Let x be v(2). Suppose x*n - n + 27 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -462 (base 14) to base 2.\nAnswer: -1101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119352*h*k**2*m + h*k**2 + 2*h*k*m + 2316*h*k + 40*h + 14*k**2*m - 2*k + 2*m wrt k.\nAnswer: -238704*h*m + 2*h + 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**3 + 3008892*r**2 - 3008892*r**2.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 113*d - 6762 = 0. Solve d*r + 70 = 79*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0, 4, 2\/11, 1298?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -584*o**2. Let j(x) be the first derivative of 2*x**3\/3 + 457. Calculate j(t(i)).\nAnswer: 682112*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 4 + 26. Suppose -36 - 9 = -i*z. Suppose 8*x - 5*x - z = 0. Solve j - 2 + x = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4147447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 40*n**2 + 99*n**2 + 48*n**2 + 6*n**3 + 0 + 0 + (2*n + 2*n - 6*n)*(-2*n**2 - 2 + 2) to h*n**2 + r*n**3 + w*n + v and give h.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(1331) + 1 + (1 + sqrt(1331) - sqrt(1331)) + 5*(sqrt(1331) + 2*sqrt(1331)) + -4*(-4 + 4*(sqrt(1331) - 1*sqrt(1331)) + sqrt(1331)))**2.\nAnswer: 10032*sqrt(11) + 384050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(338\/10140)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1084*u - 435 - 811 = -479 + 2485 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 + 61354\nAnswer: 61353.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.1021?\nAnswer: -0.05105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208\/9 + 23. Let p = 719 + -417. Let v = -301.8 + p. Which is the third biggest value? (a) v (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 16 = -3*b - 0*s, 5*s - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - h + (-4*h + 1 - 1)*(0 - 3 + 5) + h - 2*h + 3*h + 3*h - 4*h + 4*h)*(-2 - 3 + 3)*(1 + 3 - 6).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 1. Let w be j(-4). Let q be -2 + w*12\/9. Let v(y) = 32*y**3 + 2*y**2 + y - 1. Is v(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-8 - -15 - 6) + (1 - -608)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-4\/3))*b*b)\/b*b)\/b)**(-2\/31)*(b*b\/b**(-6))\/b**0 assuming b is positive.\nAnswer: b**(746\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -4. Solve -o = t*o + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5795, 5765, 5697, 5573, 5375, 5085, 4685, 4157?\n\"Answer: -3*i**3 - i**2 - 6*i + 5805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a**2 - 2607*a*l**3 - 2*a*l**2 + 95*l**3 - 15 wrt a.\nAnswer: 14*a - 2607*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 1685?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 88*i**3 + i**2 + 3*i - 2. Let b be f(1). Calculate the highest common factor of 150 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c03ca5 (base 13) in base 8?\nAnswer: -43342507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 908*r - 641*r + 1 to l*r + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.432 times -0.448\nAnswer: 0.193536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) + -1)*3 - (1 + 1*sqrt(304))) + (3 + sqrt(304)*-1)*-6)**2*3 + -5 + 0.\nAnswer: -4224*sqrt(19) + 59815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -793, -888, -1033, -1222, -1449, -1708?\nAnswer: -1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 5, c: 3, r: 5}. What is prob of sequence ah?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 19 - (2 + -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-286)\/(-33) - 8)\/((-3)\/135*3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**7\/2520 + t**6\/180 - t**5\/120 + t**4\/6 + 5*t**2 - 3*t + 30. Let q(m) be the third derivative of h(m). What is q(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 7703.\nAnswer: -15406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/4 - 62*f**3 - 780*f**2.\nAnswer: f**2*(f - 260)*(f + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 411.3818 weeks?\nAnswer: 4146728.544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/15, -1, 2, 10\/13, 0, -2.7, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2959 - 2955. Solve 2*l - 4*c - 2 = -z, 3*l + c + 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5000*m + 5001*m + l + 5 = 0, -2*m = -5*l - 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.2, -4, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79546 is divided by 285?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjkbjvjvjvkxjjjbjjj. What is prob of picking 1 j, 2 v, and 1 b?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 45. Let f = 20 + z. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from uhzzuhzhzhu.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 4 + 1 + -2 + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 42*q**2 - 88*q - 14. Let o be u(-44). Let c be 1 - (-30)\/(-36) - o\/24. Put c, 3, 9 in ascending order.\nAnswer: c, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 625.045 + -620. Let l = -5 + y. Round l to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**3\/7 + 84*k**2 + 4485*k\/7 - 5076\/7 = 0.\nAnswer: -188, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20477 + 20479 + 20478 - 3*b**3 + 20486 - 81920.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*i = 0, -3*h - i + 0 + 10 = 0. Suppose -h*k - 8 = 4. Is k at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3\/8 + 3\/4*n + 0*n**2 - 3\/8*n**4 - 3\/4*n**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from axxzbbxxaagabbr.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1735 or -2.68?\nAnswer: -2.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 11:44 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3.1. Which is smaller: -29 or v?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Let r(v) = -2*v - 13. Let s be r(-8). Let y be (4\/(-6))\/(s\/(-90)). Solve c = k - 5*k + y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 2)*(-13*c**3 - 20*c**3 - 8*c**3) in the form l*c**3 + p*c + d + x*c**2 and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353653?\nAnswer: 353653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/785961 and 151\/12.\nAnswer: 3143844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 - 5*k**2 + k - 6. Let f(c) = c**3 - 3*c**2 - 2. Let n(m) = -5*f(m) + 2*h(m). Determine n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/43 - 169\/129. Calculate the common denominator of -125\/18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 6:49 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -188, -397, -606, -815, -1024?\n\"Answer: -209*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1188*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 770334 = 1193829 - 337978. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 6)\/((-3)\/(-58)) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 8*b**2 + b - 8. Let w be z(8). Suppose w = -3*d + 2*k - 3*k + 77, 4*d - 109 = 5*k. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 5*o**2\/2 - 13*o + 22. Let r be x(8). Suppose 25*u - r*u = -5410. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -32. What is the highest common divisor of 205 and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77753*0.5\nAnswer: -38876.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 667.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 520, 518, 514, 508, 500?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -5.1. Suppose 3*u - 124 + 5 = 5*w, 0 = -u + 4*w + 28. Suppose -u = -0*t + 6*t. Which is the third smallest value? (a) s (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -33. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1627 + 2604. Which is the smallest value? (a) l (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -3*h + s, -4 = -2*h + s. Let i = h - -4. Find the second derivative of -y**5 - y**5 - i*y + 10*y wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 10489964?\nAnswer: 1\/10489964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**2 + 0 + 0*g**4 + 0*g**3 + 0*g - 1\/30*g**5. Let k(s) = -6*s. Determine k(o(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -952749, -952750, -952751?\n\"Answer: -s - 952748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 505 - 504. What is the nearest to -2\/19 in -2, -4, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)*c**(-14) assuming c is positive.\nAnswer: c**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**6 - 47*g**5*r**3 + g**2*r**2 + 4*g**2 - 2*r**3 wrt g.\nAnswer: 240*g**3 - 2820*g**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 3\/124 (b) 12\/47 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 806220 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j*j*j*j)**26*(j*(j*j*j\/j**(4\/5))\/j*j*j)\/(j\/j**(-3))*(j**(-8)\/(j\/j**4))\/(((j*j**(-1))\/j*j)\/j**7) assuming j is positive.\nAnswer: j**(401\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/3854 and -39\/38.\nAnswer: 73226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4566\/(-240) - (-10 - 9).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**27*(k\/(k\/((k\/(k*k\/(((k\/(k**(1\/17)\/k)*k)\/k)\/k)*k))\/k)))\/k assuming k is positive.\nAnswer: k**(407\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 111 = x - 0*v, 0 = -3*x + 2*v - 320. Let y = -27 - x. What is the remainder when y is divided by (-13)\/(-39) - (-118)\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8*h + 122 = -4*h, -5*h = 5*z - 595. Let o = 2788 + -2777. Calculate the remainder when z is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2033 divide 296947702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232035, -5, 0, 3 in ascending order.\nAnswer: -232035, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15*k**2 + 2*k - 1. Let v be d(1). Suppose x + 9 = o - 0, o - 3*x - 17 = 0. Suppose o*u - 44 = v. Calculate the highest common divisor of 132 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -19. Put x, 4, 0.4 in ascending order.\nAnswer: x, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 1754799?\nAnswer: 8773995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 6*o**2 + 7*o + 10. Let c(r) = -2*r**3 + 12*r**2 + 14*r + 20. Let b(n) = 3*c(n) - 5*d(n). Is 4 a factor of b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47317440 and 736.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + 2*l**4 + 0*l**4)*(-5*l + 5*l + 2*l) - 5*l**5 + 3*l**5 + l**5 - 51*l + 2 + 27*l**5 + 51*l.\nAnswer: 24*l**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -8. Let c be (-1)\/(-3) - 52\/(-6). Suppose -2114*h = -2108*h - 42. Solve h*m = v*m - c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -7*b - 24. Suppose b*o - 6*o - 1262 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*y + 399 + 259 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-33) + 761330\/(-110))*-1?\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 230 (c) 1 (d) 0.3 (e) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -190*j + 22596. Let x(q) = -107*q + 12912. Give -9*g(m) + 16*x(m).\nAnswer: -2*m + 3228","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b**2 + 4*b - 1. Is d(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 666 - 433. Let a = h - 229. Let g = 50 - 51. What is the closest to g in 2, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2022011000 (base 3) to base 6\nAnswer: -545430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8119 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13361*a + 14557.\nAnswer: -13361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3752.299 litres in millilitres?\nAnswer: 3752299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1. Let m(s) = 4*s - 9. Let n(d) = m(d) + 5*p(d). Let j be n(-6). Let t be (-3)\/(9\/j) - (-22)\/24. Sort t, 6, -1\/8.\nAnswer: -1\/8, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8.867 (b) -179\/4 (c) 1\/5 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500366 divided by 113.\nAnswer: 500366\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821735.\nAnswer: 3, 5, 40483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -198 - 31 - 64 + 205*x wrt x.\nAnswer: 205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(1 - 1 - b)*(-2 + 18*b**2 - b**3 - 18*b**2) to u*b**4 + t*b**2 + j*b**3 + n*b + g and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 7:45 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1075313\/114 - 9432. Find the common denominator of q and 15\/8.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1770*f**2 + 5. Let b(a) = 4425*a**2 + 12. Give -5*b(w) + 12*v(w).\nAnswer: -885*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 (base 15) in base 16?\nAnswer: -38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/495)\/((-32)\/240)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 796 = -145. Suppose -l = -6*h - 15. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h = -73 + 7. Let s be 4 - (-1 - -5) - (h - 0). Factor 1\/4*p**s + 9\/4 - 3\/2*p.\nAnswer: (p - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95345.\nAnswer: 5, 19069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)*k*k\/k**(-2\/11)*(k\/(k*k**(-5)*k))\/k**(-6\/5))**(5\/2))**(-14) assuming k is positive.\nAnswer: k**(-1302\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((((n**(-1\/5)*n)\/n*n)\/n)\/n)*n**(2\/5))\/(n**(-1))**(-5\/9)*(n**1)**(-3\/4)\/(((n**3\/n)\/n*n*n*n)\/((n*n**(1\/9)*n)\/n*n*n)) assuming n is positive.\nAnswer: n**(73\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10005840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 891 + -884. Solve 4*r = -u + 4, -4*u = -3*r + b - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2*sqrt(432) - sqrt(432)) + sqrt(432) + sqrt(432) + -2 + sqrt(432) + 1 - (-4 + sqrt(432)*1 - (2 + (sqrt(432) - -2*sqrt(432))))) + 3)**2 + 2.\nAnswer: 1536*sqrt(3) + 27714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:28 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*y + 164*y - 1 + 1 to a*y + p and give a.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000097937 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10550 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 28*i**2 + 51*i - 900. Determine h(27).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s. Suppose 5 = -5*n + 5*g, -4*n - 25 = -7*n - 4*g. Suppose -10 - 8 = -n*u. Let q be ((-2)\/u - 0)*3. What is j(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 + -103. Is -1 + g + 7 - (2 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 697*p + p**3 - 696*p + 340*p**2 - 482*p**2 to r*p**2 + f*p + k*p**3 + i and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5035380 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2453)\/(-99) + 4\/18. What is the common denominator of 44\/7 and 188\/(-32)*20\/m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*q - 3*j, 4*q + 387*j = 385*j - 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27.8 or 281007?\nAnswer: 27.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3331790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 423354, 423426, 423546, 423714, 423930, 424194, 424506?\nAnswer: 424866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -666 + 671. Which is the nearest to f? (a) -4 (b) 0.36 (c) -1\/2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51267 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2)*(120\/(-4))\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5479 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/75? (a) 4 (b) -2\/105 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {p: 3, h: 6, d: 1, f: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 1514448629554.\nAnswer: -1514448629553.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 2, x: 1, c: 3, e: 4}. Give prob of sequence cxua.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or -41\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.78 - -46.78. Let k = 45.5 - u. Sort -3\/2, 6, k in ascending order.\nAnswer: -3\/2, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 15. Let a be v(-6). Let m = 31 - a. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4590)\/340*7*(-4)\/(-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(486) + -2*(5*sqrt(486) + sqrt(486)))\/((sqrt(20) - (sqrt(20) + sqrt(20)*2))\/sqrt(10)*1).\nAnswer: 297*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -0.34. Let t = 0.0783 + -3.0783. Which is the nearest to 2? (a) -1\/6 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3592*n**4 + 5782*n**2 wrt n.\nAnswer: 86208*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 12*i**2 - 21*i + 1. Let x be q(2). What is the closest to 0 in 2, 5\/3, x?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 27*u**2 + 69*u - 51. Let b be q(27). Let y = b + -1004. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*i - 225 + 973, f = -i + 374. What is the highest common divisor of f and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 135953 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -7, 2, -3, -1\/48, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3684 - -283. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfq when three letters picked without replacement from qxxxfqxrxxf.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/5748428 and -119\/20.\nAnswer: 28742140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b + 3*b + (-2*b + 0*b - b)*(2 - 3 + 0) + 2*b + 4 - 4 + (3*b + 0*b - 5*b)*(-1 + 2 + 1)*(1 + 3 - 3))*(3*b - 3*b + 2 - b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -41. Suppose 0 = -a*o - 33 + 180. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - k = -3*y + 22, -2*y + 5*k = -2. Suppose -3 - 3 = y*d. Sort d, 3, -2 in descending order.\nAnswer: 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-5 - -11)*(-16)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -94*i**3 + 10*i**2 + 11*i - 58. Let q(z) = -19*z**3 + 2*z**2 + 2*z - 12. Determine 2*o(w) - 11*q(w).\nAnswer: 21*w**3 - 2*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 25*u - 149 = -1024 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/5*(-10)\/(-4). Let h(b) = 6*b + b**2 - 5 - 2 + 2. Let u be h(s). What is the highest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Let x(i) be the first derivative of i**3 + 3. Determine l(x(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -45 and -174 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 2354968804784 and -0.09.\nAnswer: 2354968804783.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 + 1365*c**4 + 304959*c**3 - 104932437*c**2 - 17598389256*c + 17703015372 = 0.\nAnswer: -186, 1, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**3\/6 - 2*j**2 + j. Let p be z(4). Suppose -f + 3*f - 30 = p. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 + -136. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2*-1)\/((48\/14)\/((-992)\/(-3472))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584660 to the power of 1\/2, to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45\/4 of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -88*d - 1336. Calculate r(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 38*t**2 + 146*t - 20. What is the tens digit of r(-33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -16*f**7\/21 - f**4\/3 - 3*f**3\/2 + 48*f. What is the third derivative of u(g) wrt g?\nAnswer: -1920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 4:59 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.19239 - -32544.5\nAnswer: 32544.69239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 6 = -4*l. Let m be (-2)\/4*-2 - -1. What is the highest common divisor of m and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 6010*n**2 - 7*n - 192. Is p(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2*(-3)\/24). Let f(j) = 7*j + 1. Let z(n) = 102*n + 14. Let g(v) = 226*v + 31. Let b(r) = 4*g(r) - 9*z(r). What is a*b(d) - 9*f(d)?\nAnswer: -7*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = 132. Suppose 5*x = 2*p + 66, 4*p - 3*x + c = -x. Let n = p - -46. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 28*j**3 - 268*j**3 + 0*j + 3*j.\nAnswer: -296*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24331.\nAnswer: 29, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 5*b**3\/6 + 3*b. Let a(j) = -j**2 - 6. Let x = 9 + -15. Let p(g) = -g**2 - 7. Let f(h) = x*p(h) + 7*a(h). What is u(f(k))?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*k + 16, -k - 3*k - 86 = -5*w. Suppose -5*v + 2*f + 588 = 0, -5*v - 2*f + 6*f + 596 = 0. Calculate the least common multiple of w and v.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 74 = 4*w, 4*g = -2*w + w - 8. Let i(j) = j**2 + 2. Let p be i(5). Let m = p + w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twbbhhbbfhdd. What is prob of picking 1 w and 1 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t + 186. Let k = t - 10. Is k - -3 - (-3 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22035853 + 137116775 = 2*h. Suppose -4*t + 4*l + 24459519 + h = 0, 2*t - 40999980 = 4*l. What is t rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) -2\/7 (c) 4 (d) 9 (e) 214\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 52, 2.\nAnswer: 1, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/13 and -51\/41?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.6 - 8.8. Let b be (2\/4)\/((-3)\/(-186)). Let l = b - 65\/2. Put -2, m, l in descending order.\nAnswer: m, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363502530389 plus -3?\nAnswer: 363502530386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 - 2 = -4*s, 0 = -3*p - s + 7. Suppose p*y + 18 = -0*y. Is (y\/6)\/(6\/(-136)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10390)\/(-15))\/(208\/(-1326)). Which is smaller: -4416 or z?\nAnswer: -4416","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 252*q + 2393. What is d(-135)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - 2*(sqrt(84) + (sqrt(84)*4 - sqrt(84))))\/(6*sqrt(108)\/sqrt(9)).\nAnswer: -7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 551 + -551.1. Put 0.3, -0.5, 1, s in ascending order.\nAnswer: -0.5, s, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*p - 2889 - 1211 = 707*p + 1804 for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3349203 divided by 1443.\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4, 226*w = 3*c + 224*w + 10. Let o(x) = -2*x**2 - 4*x - 7. Calculate o(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-363)*333\/(-148).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12054)\/1107*3\/(7\/(42\/(-2))).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 + 121846*g + 243677. Calculate i(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190 (base 10) to base 4.\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18039 in -29.62, -3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-16))\/((-14)\/112)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-308)\/8*4\/(-7). Suppose 28*a - p*a = 0. Solve -2*x + a*x - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 37258.\nAnswer: -2\/18629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12997 - 2820325\/217. Let f = j - -1\/31. Let q = -4.255 + -0.745. Which is the closest to -1\/6? (a) f (b) q (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -968, -967, -966, -965?\n\"Answer: d - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44940 = -17602*n + 17067*n for n.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + l**2 + l. Let w(k) = -35 - 13 + 2*k + 7*k**4 - k**2 - k**3 - 1. Let o(f) = w(f) + z(f). Differentiate o(g) with respect to g.\nAnswer: 28*g**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*w - w + 72 = 0, -5*h + 2*w + 120 = 0. Suppose 28*s = h*s + 8. Suppose -4*j - 18923 = -m - 4*m, s*m - 7577 = -j. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -58.6. Put 0.3, w, -1\/8, -3 in ascending order.\nAnswer: -3, w, -1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbnbnnnnnnnn. What is prob of sequence bn?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17565 - -20253949?\nAnswer: 20253949.17565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -2*z**2 + 0*z**3 + 0 + 0*z - 1\/12*z**4. Let n(w) = 2*w**2. Calculate n(t(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11)*x**(-1\/25)\/x*x*x*(x**16\/x)\/x*x\/x**(-2\/15))**38 assuming x is positive.\nAnswer: x**(487426\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77001.17 years to months.\nAnswer: 924014.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3516 = 3*i + 4*s, -36*i - 2342 = -38*i - 2*s. List the prime factors of i.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (10 - 6) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 107 = 3*g, -4*r = -4*g - 39 + 203. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 583861 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2854194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 3) + (1 - 1). Let z(m) = 70*m - 3. Let s(w) = 44*w - 1. Let j(a) = 3*s(a) - 2*z(a). Give j(r).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23997613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5541366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1002 and 28310.\nAnswer: 14183310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*q + 94*q + 3929 - 1277 + 1398 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 21*w + 94. Let h = w + 113. What is the common denominator of (-1 + 70\/h)\/(36\/2781) and 27\/38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -0.2 (b) -0.0147 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 7. What is x(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/60 + x**4\/8 + 3*x**2. Let g be i(-3). Is -3\/13 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e (base 15) in base 2?\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -6. What is the remainder when 69 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475863727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 3*s**2 - s + 1. Let z be b(-3). Suppose z*a = -0*a. Suppose a = -j - 3*j + 84. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 35 + 0*m**3 + 6*m**3 - 3*m + 24 to q*m + p*m**3 + n + l*m**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7, -0.01, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143115 + -5?\nAnswer: -143124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-19)\/(-2280))\/((-1)\/50*3)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrxjqrrqhjqrqr. Give prob of picking 4 r.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**3 - 10870933*v**2 - 2667963*v wrt v.\nAnswer: 6*v - 21741866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 195534, 195553, 195572, 195591, 195610, 195629?\n\"Answer: 19*t + 195515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1858 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 13 + 13 - 66*o - o**3 in the form v + a*o**3 + d*o**2 + w*o and give w.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 9*k + 7. Let z be -4 + (-3)\/(-3) - 4. Is r(z) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3 + 0 + 3\/20*a**5 + 0*a**2 + 3\/4*a**4 - a. Factor q(s).\nAnswer: 3*s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n*n*n\/n**(-5))\/(n**(-1\/10))**(11\/2) assuming n is positive.\nAnswer: n**(391\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 353094.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -61, -249, -667, -1405, -2553, -4201, -6439?\n\"Answer: -15*x**3 + 20*x**2 - 3*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81\/4 - -477\/20. Let a be 6\/7*(-42)\/(-9). Determine j, given that -2*j**2 - 4\/5*j + 2*j**a + 0 - 14\/5*j**5 + f*j**3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceccsoz. What is prob of picking 1 e, 1 c, and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/45 + 24\/54\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2. Let t(g) be the second derivative of 0*g**2 + 3*g + 0 - 1\/6*g**3. Determine t(v(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) + 6\/104 + 3\/39 - 1?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 10, j: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 226 * 2.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545914.\nAnswer: 2, 107, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 3. Let v be f(-3). Find the third derivative of 2*r**2 + 5*r**4 - r**6 - 5*r**4 + v*r**4 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 - 112.3. Let l = w - -15.1. Let h = -0.97 - -1. Put 0, l, h in increasing order.\nAnswer: l, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -41 + (-1 - -3) + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-36)\/3)\/(2\/(-4)). Let s be (-6)\/(-8) - 4\/((-112)\/35). Find the third derivative of -12*n**s + 11*n**2 + z*n**3 + 32*n**2 + 21*n**2 wrt n.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/2 + 63*v**4 - 2391*v**3\/2 - 42427*v**2 + 43560*v = 0. Calculate v.\nAnswer: -18, 0, 1, 55, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*v + 1292, 43*v = 3*p + 39*v - 965. List the prime factors of p.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-405)\/45)\/(((-2)\/20)\/((-102)\/765))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 30*s - 33*s - 9 + s**2 - 6. What is the remainder when 48 is divided by f(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 19. Let j = k + -10. Let f = 7\/3 + j. Sort -11, -3, f.\nAnswer: -11, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(21) + (1*sqrt(756) - sqrt(21)) + sqrt(21))\/sqrt(7))*-3 - ((sqrt(300)\/sqrt(90))\/sqrt(10) - -4*(-2*sqrt(15))\/sqrt(5)))**2.\nAnswer: -80*sqrt(3) + 1627\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.87 < -33.8761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r**2 - r + 10. Let s be j(0). Let x = 13 + -10. Solve -x*w - s = -4*z, 3*z - 9 = w + 2*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 750*h + 751. What is g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 3. Let h be c(3). Suppose h*j - 67 - 35 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(0 + 2*b**3 + 0) + (3*b**2 - 2*b**2 + 2*b**2)*(0*b - 2*b + 4*b) + (-4*b**2 - b**2 + 4*b**2)*(0 + 0 - b).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*u - 8123 = -2205. Calculate the highest common factor of u and 847.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3254, 1\/8, -0.3, 0.1, 1\/4, 4?\nAnswer: 3254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12084 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(4)\/sqrt(2) + 3 - (2 + sqrt(16)\/(sqrt(16)\/sqrt(2)))**2.\nAnswer: -7 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 7. Let t(d) = -3*d - 1. What is -3*j(k) - 7*t(k)?\nAnswer: 3*k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:11 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, n: 8, z: 3}. Give prob of sequence snzn.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3074*h + 30 = 3081*h + 118, 3*n = h + 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*12\/315)\/((-33600)\/14000)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 73*l**2 - 187*l - 446. Calculate the remainder when w(76) is divided by 206.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((4\/(-10))\/(-1)). Let g(k) be the first derivative of -5*k**2 + 6*k - 774. Is g(x) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3573953?\nAnswer: 3573953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5746*i - 3685*i - 216*i - 4580*i + 2746*i.\nAnswer: -11481*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = 25 + 77. Let l be 1123\/q - (-1)\/(-6). What is the greatest common factor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4792428.41 to the nearest one hundred.\nAnswer: 4792400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 75 + 23. Let q = 17 - p. Let u = 3 + -5. Put -5, q, u in decreasing order.\nAnswer: q, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x = 3*c - 75, 0 = 4*c + 4*x - 41 + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - (sqrt(95) + (sqrt(95) - 1*sqrt(95)*1))) + sqrt(95) + sqrt(95) - -2*sqrt(95)*-3)\/(5*sqrt(50)\/sqrt(10) - sqrt(245)*-5))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1084*w**3 - 563.\nAnswer: -3252*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188\/103119 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196056 divided by -1167.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 551508510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3953497369 - 1\nAnswer: -3953497370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44754 and 48?\nAnswer: 358032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167818*z**3 - 63254*z**2 + 63254*z**2.\nAnswer: -167818*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 157595425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24955810.\nAnswer: 2, 5, 11, 226871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k + 12 = 0, -4*l + 5*k = -125. Suppose 0 = 11*g - 16*g + l. Suppose -2*z - 25 = -g*z. Which is the nearest to 2? (a) z (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5)\/l*l)\/(l*l*l*l**(-3\/8)))**(26\/7) assuming l is positive.\nAnswer: l**(-1469\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*m - 4*s = -122*m + 27, -3*m - 5*s - 30 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 3. Let i(z) = 7*z + 164. Calculate 3*h(g) - i(g).\nAnswer: -g - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86871.4 - -86871. Let m = -10 - -14. Suppose 0*r - m = 4*r. What is the closest to 0 in r, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 188 = -3*x - x, -4*a - 198 = -2*x. Let w = -34 - a. Is w != 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 2:14 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 2408136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.08 - -47.92. Let z = u + -7. Let f = z - 42.27. What is f rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*y - 11681, -c = -3*y + 4*c + 11677. Suppose 18 - y = 4*o + 4*k, -4 = -4*k. What is o rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 5*t = -4*y + 3*t - 2, 4*t = -4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 3)*(-1 + 4 - 2) + 0 + 1 + 1)*(10*o + 10*o - 10*o).\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417763*g**2 - 13*g + 1417757*g**2 + 13*g - 24 + 6*g.\nAnswer: -6*g**2 + 6*g - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -19. Suppose 7*i - r*i + 24 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2239*k - 15667. Determine a(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/7*(-5 - 23). Let y(k) = -2*k**2 - 52*k - 26. Let i be y(f). What is the greatest common divisor of i and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.52 (b) -75 (c) -5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 10*x - 6. Let k be y(9). Let g(w) = w**3 - w**2 - 5*w + 2. Let c be g(k). Suppose 0 = 2*d - c*d - 90000. Round d to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1422, 1904, 2690, 3786, 5198, 6932?\nAnswer: 8994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 124*s + 128.\nAnswer: -4*(s - 1)*(s + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66946 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 16*o**2. Let h be t(-8). Suppose h = 5*s - 99 + 24. Solve 5*k + s = -5*g, 3*k + 19 = g + g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/140 + 4*p**5\/105 + p**4\/28 - 2*p**3\/21 - 2*p**2. Factor c(v).\nAnswer: 2*(v + 1)*(v + 2)*(3*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95521 times 0.2?\nAnswer: 0.191042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**7\/840 + l**5\/120 + l**4\/3 - 6*l. Let y(j) be the third derivative of i(j). Differentiate y(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - 8*w + 6. Calculate t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1793\/5 + -358. Which is the third biggest value? (a) z (b) 16 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*s**4 - 358028160*s**3 - 712134479535320*s**2 - 949512162009600*s - 316504000962000 = 0. What is s?\nAnswer: -3978090, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let x be (13 + -10)\/(36\/38). Let b(i) be the second derivative of -x*i**3 + i + 0*i**2 + 0. Calculate c(b(v)).\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (50\/9 + -3 - 3)\/(-1). Which is the second smallest value? (a) 0 (b) -0.6 (c) 4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18075034 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r**3 - r**2 - 4. Let p = 5 + -8. Is o(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0491 in 0.2, 2\/3, 1.4624?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5033 divided by -11.\nAnswer: 5033\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 5 - 5)*(-23 + 23 + 20*n).\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*b + 65 = b, 4*d - 49 = 3*b. Let h = d + 17. What is the derivative of 22 + 10*t + 4*t - h wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -2. Suppose m = 35 - j. Solve -k - n - 21 = m*n, -3*k = 3*n + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141764017?\nAnswer: 751, 188767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 160307887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.99 - 12. Let f = 1.01 + o. Which is the third biggest value? (a) -2\/3 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 13*y + 6*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7283527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 71.52. Let s = z + 0.32. What is the second smallest value in -1, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 579574 and 42946?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*i - 10, 4*i + 16 = 3*i - 4*y. Is (-893)\/i - 14\/56 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 12 + -23)\/((-8)\/(-3)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*(-3)\/(-12) + (-13)\/(-52). Factor -40 + 14*i - 5*i**q + 18*i - 62*i.\nAnswer: -5*(i + 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 198*p - 78. Let m be t(40). Solve 5*v - 4 = -y - m, 5*y + v + 14 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - v - 16 = -2*v, 3*v = -3*t + 12. Let m be t\/((-3)\/(-2) - 0). Suppose -23 = -3*s - n, -n - 10 = -m*s - 3*n. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - 5*5*sqrt(19) - (sqrt(76) + 3 - sqrt(19) - sqrt(19)).\nAnswer: -24*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55556 + 105697. Is p a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1569, 2\/9, 2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 372\/(-8) + 4997\/526.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.1, 2, 255456?\nAnswer: 255456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 301 + -300.98358. Let d = q + -0.0246. What is d rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -w + 6, -5*w + n = -1 - 2. Suppose w = 2*c + j - 200005, -5*j - 129163 - 70812 = -2*c. What is c rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1141 - 1090. Calculate the highest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201211011 - 0?\nAnswer: -201211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9.607*0.03\nAnswer: -0.28821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:41 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -32272 (base 11) to base 2\nAnswer: -1011011100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 80. Suppose u = -3*t + 6, 5*g = g - 4*t + 4492. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 13*a**2 - 13*a + 1. Calculate n(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 196*p**3 + 7*p**2 - 499*p - 28. Let r(v) = -131*v**3 - 5*v**2 + 333*v + 20. Let l(m) = 5*k(m) + 7*r(m). What is the second derivative of l(t) wrt t?\nAnswer: 378*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 112320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -47 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(192) + sqrt(192) + (2*sqrt(192) - sqrt(192)))\/sqrt(6).\nAnswer: 1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 - (1 + 8 + -8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 175, 174, 173, 172?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**4 - w**4 - w**4)*(-136*w - 136*w + 285*w) - w**5 + w**5 + 6*w**5 - 4*w**5 - 2*w**5 - 4*w**5.\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**5 + 55*o**4\/2 - 455*o**3\/3 + 255*o**2 + 3464. Factor m(v).\nAnswer: -5*v*(v - 17)*(v - 3)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from yyltlylytiynyly.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 478, 31, 1, -1, -0.4 in increasing order.\nAnswer: -1, -0.4, 1, 31, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(sqrt(495)*1 + sqrt(55))\/(5*2*sqrt(5))*-3)**2.\nAnswer: 6361\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 411 - 255 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 10*a**2 + 2. Let b be c(-10). Suppose 32 + 20 = b*w. Suppose -l - 2*l + 12 = y, -y + 4*l = -w. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 16 (c) -2\/7 (d) 2\/9 (e) 43 (f) 6.3 (g) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**4 - 3*v - 6. Let n(m) = -11*m**4 + 5*m + 13. Let p(q) = -13*f(q) - 6*n(q). What is the second derivative of p(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 436120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(32) + (sqrt(64)\/sqrt(2))**2) + sqrt(32) - (1 + sqrt(32))*4.\nAnswer: 4*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23168 (base 12) in base 10?\nAnswer: -46880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2 + 5*b**2 + 4*b + 4*b**3 + 6*b**3 - 5*b**3 - 4*b**3. Let j be u(-4). Factor 4\/5*n + 2\/5*n**j + 0.\nAnswer: 2*n*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 120*z = -1680 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6075 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*c**3 - 3549*b**3*c**2 - 2*b**3 + 2590*b**2*c**3*k - b**2*c*k - 2*c**3*k wrt c?\nAnswer: -12*b**3 + 15540*b**2*k - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 39869?\nAnswer: -39869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60344 + -66?\nAnswer: -60443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i - 15. Suppose -5*l + 3*l - 5*n = -90, 5*l - 3*n = 163. Suppose c + 22 = -4*y, -4*c - c + 5*y = l. Is g(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = 0, 0*v + 3*v - 2*l + 66 = 0. What is the nearest to v in 2, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1492*g**2. Let k(i) = -2*i**2. What is k(n(c))?\nAnswer: -4452128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o = 2*o + 13224. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w - 19. Let x be v(-7). Let s = -19 + x. What is the remainder when 51 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2137 and -6.\nAnswer: -2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -2) + 3 + 6. Suppose u*l = 5*l + 15. Solve 0 = m - l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7180339, 14360689, 21541039, 28721389, 35901739, 43082089?\n\"Answer: 7180350*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.3, -7, 40 in increasing order.\nAnswer: -7, -0.3, -2\/7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51519 or 51507?\nAnswer: 51507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -1 (b) -2\/15 (c) -3 (d) 3\/20 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3461.515 micrograms to nanograms.\nAnswer: 3461515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*z = z, -3*q + 4*z = 1. Let r = -2 - q. Let u = r - -2. Let b(j) = 3*j. What is b(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 t when four letters picked without replacement from mhhgtghhbbhmmmggbhmg.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(6)*4)\/(sqrt(4) + -2*sqrt(256)).\nAnswer: -4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1402\/15 at most as big as -0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 18 = -5*m, 0*m = -3*m + f + 8. Let y be 6*1\/(m\/(-9)). List the prime factors of y\/(-12)*4\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4 - 3 + 90*v - 180*v + 95*v. Determine i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 6*g - 1. Let k be s(6). Let c be -2 + k\/(3\/(-12)). Suppose -2*i = -2 - 2. Solve 0 = -5*m - i*f - 3, 2*m - c*f = -3*m + 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -13120121202333?\nAnswer: 13120121203011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 14*d + 5. Determine c(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52541, -105080, -157619, -210158, -262697?\nAnswer: -315236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1*-22 + 86 + -85.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -18342?\nAnswer: 18346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 8:08 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (3 - 1) - 0\/(-10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33582 + -33538. What is the remainder when 5977 is divided by h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 3040?\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -32, -37, -38, -35, -28?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 + 6*x + 5. Let j be z(-4). Let c = j + 67. Suppose 3*n - 2*k = c, -n + 10 = -5*k - 34. What is the highest common divisor of n and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -16 (c) -1 (d) 0.2 (e) -2\/11 (f) -2.09 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n + 6*n**2 - 9*n**2 - 15*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001844751842 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(70)*-1 + (sqrt(70) - (sqrt(70) - (sqrt(70) - (-2*sqrt(70) - sqrt(70))*3)) - sqrt(70)))\/(6*sqrt(90)*1))**2*4.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 8*r = -12880. Let w = r - 588. Calculate the lowest common multiple of w and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1083 + 10*g + 6*g + 1085)*(5 - 4 + 0) in the form r + f*g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -41. Let a be (4\/6)\/(1\/(-6)). Let w be a*(-1)\/(4\/3). What is the highest common factor of w and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**16*t)\/t*t)\/(t*t**(2\/9)))\/(((t*(t**6*t*t)\/t*t)\/t)\/t**12) assuming t is positive.\nAnswer: t**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4 = 2*w, 10*r = 5*r - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94.36 + -1.36. Let l = 30 + z. Is 0.1 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1599 - 0?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1285.1 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1014\/(-68))\/3 - 10*41\/(-82).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from gopjqpojop?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 times -0.5?\nAnswer: 227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 4:21 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*t + 1115, 5*i = -2*t - 3*t - 1095. Let g be t\/(-12) - ((-28)\/12 + 3). Solve -g = -4*s - 2*l + l, -2*l - 19 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 9*a + 15*a + (-1 - a + 1)*(3 - 2 + 0))*(-15*a + 56*a - 178*a).\nAnswer: -3425*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223*p*x**3 + 1104*p*x**2 - 2*p*x + 30319382*p + 9*x**3 wrt x?\nAnswer: 1338*p*x + 2208*p + 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696971 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**3\/3 + 8*x**2 + 18*x - 8. Let k be p(-15). Suppose -24 = -5*l - 4. Solve -k*t + t = l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 5. Let c be h(4). Suppose 0 = i + 4*r - 13, -27 = -2*i + c*r - 12. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(7) + sqrt(21)\/sqrt(3) - sqrt(378)\/sqrt(6) - (sqrt(63) - sqrt(756)\/(sqrt(12)*2)).\nAnswer: -5*sqrt(7)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 14*o + 576. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n + 240 = 65*n. Suppose -6*f + 10 + 98 = 0. Calculate the lowest common multiple of n and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-3))\/3)\/((-4)\/((-24)\/(-6))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + -50. Let s = -47 - i. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 3956*x**3 - 39469*x**2 - 35514*x.\nAnswer: -x*(x + 1)*(x + 9)*(x + 3946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 23*q**2. Let x = 44 - -25. Let b(i) = -132*i + x*i + 62*i. Give n(b(f)).\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 4:04 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*a + 52 = 34, -a = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/7, -1\/2, -25 in ascending order.\nAnswer: -25, -1\/2, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h**2*m**3 - 3*h**2*m**2 + 1051*h**2*m - 57*h**2 - 1241*h*m**3 - h*m - 3*h - 784*m**3 wrt m?\nAnswer: -30*h**2 - 7446*h - 4704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32116 - -32116.1. Which is the nearest to k? (a) 102 (b) 0.01 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -617471600 rounded to the nearest 100000?\nAnswer: -617500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28271b (base 14) in base 10?\nAnswer: 1389861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -169294*n**2*o - 4*n**2 - 5*n*o - 44154367*o wrt n?\nAnswer: -338588*n*o - 8*n - 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 18*f**2\/7 + 33141468*f\/7 + 15254956961042\/7 = 0.\nAnswer: -2761789\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -2\/45*s**5 + 1\/18*s**4 - 31*s**2 - 1\/36*s**3 + 0 + 0*s. Find v, given that i(v) = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - 2. Let n = 0.3 - 0.6. Let v = -2.9 - -2.8. Which is the third smallest value? (a) t (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 - 476\/3. Put r, 0.4, -1\/4, 89 in ascending order.\nAnswer: -1\/4, 0.4, r, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1 (c) -212 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -20) + (-3 - (-7 + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68539934441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-10) - (-32)\/5. Let r(o) = o**2 - 8*o + 6. Let k be r(z). What are the prime factors of 1\/(k\/39*-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g. Let x(y) = -y**3 + y**2 - 8*y - 1. Let p(k) = k**2 + 7*k + 1. Let m(v) = 3*p(v) + 2*x(v). Give -5*i(c) + m(c).\nAnswer: -2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 14. Let u = -4 + 6. What is the first derivative of -u + 0 + b + 3*p wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 11:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383567842?\nAnswer: 2, 3, 397261307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, o: 3, l: 1, j: 2, v: 1, u: 2}. What is prob of sequence kk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*k + 30 = 0, -3*c = k - 9 - 1. Suppose -c*s = -6*s + 108. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/45 (b) 0.12 (c) -0.3 (d) 0 (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1 + 2*r**3 - 4*r - r**3 - 1 + 1. List the prime factors of w(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 146\/3. Which is the closest to -7\/2? (a) 1\/7 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24367020 to the power of 1\/2, to the nearest integer?\nAnswer: 4936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + i + 1)*(8*i**3 + 2*i**3 + 24*i**3).\nAnswer: 34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-1456)*13)\/(2\/(-7)))\/((-30)\/40).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*m - 171*m = -1050 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-7))\/(31 - 32). Which is the fourth biggest value? (a) 2 (b) -5\/8 (c) 0.3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -174?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437710?\nAnswer: 2, 5, 343771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, 108, 180, 270, 384?\n\"Answer: n**3 + 53*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2960 + 3210.8. Let l = -251 + k. What is the biggest value in l, 3, -3, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 47 + 32 = 0. Let q = 1471.89 - 1479. Let l = -0.11 - q. Which is the second biggest value? (a) r (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65474842 to the nearest integer?\nAnswer: 8092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1080 divide 21148560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 9) + -10 - ((-3 - -8) + 4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -51. Let k = j + -11. Solve -2*l = 4*m - 12, -k*l - m - 6 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (124\/(-90))\/(15714\/707130)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5\/4 + 73*v**4\/4 - 112*v**3 - 11*v**2 + 264*v + 144 = 0. What is v?\nAnswer: -1, -2\/3, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:26 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 61, 94, 127?\n\"Answer: 33*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800773308?\nAnswer: 2, 3, 719, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134228\/7 - 19176. Which is the nearest to -1.2? (a) -3\/5 (b) u (c) -4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/22422428 and 27\/196?\nAnswer: 156956996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023000 + -2?\nAnswer: 1022332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0, -7, 5, -13, 203?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbcbhhbjhjcc. What is prob of sequence cj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 0 - (-5 - -3). Suppose 0*o - o + 5 = g. Suppose 2*y = o*y. Solve y*u - 2*u = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 5. Let r(p) = p**2 - 1. Give 2*r(k) + w(k).\nAnswer: k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2, 4, 1, -4 in ascending order.\nAnswer: -4, -2, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -3 (c) 0.3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9}. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-5 + 6 + 0). Let p be ((-3)\/s)\/(3*(-5)\/45). Which is smaller: 3\/181 or p?\nAnswer: 3\/181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q**2 + 1\/3*q**3 - 3 + 0*q. Let z(j) = -j**2. What is z(b(r))?\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 4*m**2 + 46. Let b(l) = 6 + l - 6. Calculate u(b(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 3 = -12*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*g = g - 14, -4*o = g + 73. Let d = o + 9. Suppose 4*m + 19 = 5*l, -4*m + 2*l - 22 = -0*l. Which is greater: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 84*z + 2952. What is the remainder when 1483 is divided by y(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/10 + (-33)\/(-6))\/(-2). Is (h + 0)\/(3 - 3286\/1094) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3825 - 382497\/100. Let d(u) be the second derivative of 31*u + 0*u**2 - i*u**5 - 1\/10*u**4 - 1\/10*u**3 + 0. What is y in d(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 6*c**2 + 5. Give q(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u + 1 - 1)*(12*u**3 + 5 - 5).\nAnswer: -96*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -44 - (2 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 189107 take away -0.00887151?\nAnswer: 189107.00887151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0935 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from -103600447.\nAnswer: -103600432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 8. Let i be k(-7). Suppose 0 = 6*s - 317 - 13. What is the highest common factor of s and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from {a: 1, i: 4, d: 3, b: 3, h: 3, p: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + c**2 + 1)*(-c + 3*c - c + (2*c - 2 + 2)*(0 - 1 + 0) - c - 2*c + c + 2 - 2 - c) to l*c**2 + o*c**3 + u + b*c and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -51*i + 50*i - b, 0 = -i - 5*b + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27a55 - 671?\nAnswer: 27394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 13*f + 49. What is h(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -4*u**3\/3 - 5*u + 6. What is the first derivative of m(y) wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*3 - (7 - 8). Let k = 3 - j. Which is the nearest to k? (a) 2 (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3366 - -33601\/10. What is the common denominator of 47\/2 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4542 - 2841. Calculate the remainder when i is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, 95, 166, 257, 374, 523, 710, 941?\n\"Answer: n**3 + n**2 + 47*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-3*2*sqrt(16))\/(sqrt(8) + 5*sqrt(16)\/sqrt(2) + sqrt(8)))**2)*-6.\nAnswer: 1038\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/19))**(-37) assuming j is positive.\nAnswer: j**(74\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139523.81 + 140911. What is x rounded to the nearest ten?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 73) + 17\/(-51)*-330?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1537507 is divided by 28966.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u - 2268 = -59*u. Let k = -563\/3 - u. Is k less than or equal to 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*24\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 17. Let n = -19 - -29. Suppose n = 5*j, -5*u + 3 = 4*j - 10. Which is the closest to u? (a) -8 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3 - 7*h**2 + 2*h + 31.\nAnswer: -6*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53175*q**2 - 5*q + 2*q - 1 - 4.\nAnswer: -53175*q**2 - 3*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 52. Let g = -27 - x. Put 5, g, -2\/11 in ascending order.\nAnswer: -2\/11, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1257 + 1287 + -2 + 38\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*t = 11502, -6*c - t = -c - 57458. Suppose -3*l = 49*l - c. Calculate the remainder when l is divided by 77.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28437525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*-3)\/sqrt(6))\/sqrt(5).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 3*j**5\/5 - 21*j**4\/4 + 15*j**3 - 39*j**2\/2 + 12*j - 45. Suppose u(g) = 0. What is g?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 23*f**2 + 25*f - 21. Let q be c(24). Solve 0 = -5*i + q*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18114*l - 1378 = 18061*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)\/c)\/c)\/(c\/c**(-29)) assuming c is positive.\nAnswer: c**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 13*l**2 - 8*l + 42. Let j be f(-12). Put 3, j, 0, -4 in decreasing order.\nAnswer: 3, 0, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 x, and 1 d when four letters picked without replacement from {g: 2, d: 3, h: 2, x: 2, i: 4}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*v - 39*v - 35*v + 117*v + 1290*v**2 - 30*v + 7 wrt v?\nAnswer: 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/10336*1037)\/((-2)\/8).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117407 is divided by 295?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001 - 11101011001111111?\nAnswer: -11101010110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006889 to 7 decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t**2 - 4*t - 3. Let l be v(-2). Let y be l + -2 + -1 + 1. Let j(m) = 4*m**2 - 1. Let g be j(y). Which is smaller: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.5 - 34. What is the nearest to 0.1 in p, 2\/7, 13, -8\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9989, 317, -25939, -77071, -161371?\nAnswer: -287131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 1163 - 1046 = 46*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 + 108*n**2 - 14*n + 107. Calculate the remainder when x(15) is divided by 333.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 3*n + 4. Let j be u(-3). Let z be 290\/14 + j\/14. Let k = z - 3. Calculate the remainder when 88 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 - -189. Let g = -21 + 31. Let b = g + -6. Solve b = 2*p - u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4900*l - 110*l**3 + 4900*l - 30*l**3.\nAnswer: -140*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 175815813 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.039 - 0.039. What is the third smallest value in -4, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from ttfutthubttfuhtfbu.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:54 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 772\/140 + -6 - 2\/(-10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 18*v - 72. What is the remainder when f(6) is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(159705\/(-7535)) - 3\/(-7). Let z be 328*((-2)\/5070)\/1. Let p = l - z. Which is the third biggest value? (a) 1\/13 (b) 2 (c) p (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549*v - 1545*v = -52 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4214105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 = -4*c + 311. Let f = 198 - c. Solve -2*b + 15 = -f*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 230, 232, 234, 236, 238?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 28 = p - 8*s, -5*s = -p + 40. Suppose -16*d + p*d + 8 = 0. Let w(i) = i**3 + 2*i**2 + i - 1. Determine w(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4)*(-484)\/(-1089). Let r = -3 - -3.5. What is the nearest to -1 in 4, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from {z: 1, q: 1, a: 1, s: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283948116 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + (92 - 2))*-1. Let i = 311 + j. Let l be (8\/(-10))\/(52\/(-50) + 1). Calculate the greatest common divisor of l and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5472 divided by -72.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 74. Let v be k\/(-28) + 0 + (-4190)\/(-14). Let y = 594 - v. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 194041\/14 and 13859 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3567 is divided by 3503.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10a3a (base 13) to base 8\nAnswer: -73134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3671 + 4?\nAnswer: -3666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032) - (5 + (2*sqrt(4032))**2))*4.\nAnswer: -64532 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2604*t - 2594*t - 50 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9447457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 1:08 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*t = -196*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/618434 (b) -5\/4 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b - 9. Let g be (-10)\/(-45) + (-210)\/(-27). What is the common denominator of j(g) and 2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294, 2724, 9584, 23172, 45786, 79724, 127284?\nAnswer: 190764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + -0.03. Let l = f - 0. Let i = 1 - -3. Which is the biggest value? (a) l (b) i (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:36 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {u: 1, s: 3, j: 1, q: 1, c: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let t(g) = -157*g - 7. Let z(a) = 84*a + 13. Let k(o) = -o - 2. Let p(q) = 10*k(q) + 2*z(q). Let u(n) = 5*p(n) + 4*t(n). Give u(l(b)).\nAnswer: -162*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 59*v**2 - 30*v + 201. Let p be h(33). Suppose -p = -19*f - 23*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3036 + 3031. Let i(t) = t**3 + 4*t**2 - 4*t - 13. What is i(s)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/1*(-1 - -2). Does 17 divide 18 + (w - (0 - 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356027?\nAnswer: 3, 452009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = -4*t, 5 = -2*t - 2*c + 21. Suppose 50 = t*d - 178. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 48 + 658. Round o to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313162755.99999988 + 313162683. Let y = l - -73. Round y to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y + 38. Let x = -627 + 619. Is 8 a factor of b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(153)*-3 - (5*sqrt(17)*2*5)**2).\nAnswer: 18*sqrt(17) + 85010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - ((-35 - -38) + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 10 - 10. Suppose o*i + j - 9 = 0, -i - 6 + 0 = 3*j. Solve 3*s**2 + 2*s**2 - s**i + 1 + s - 6*s**2 = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*z = -6324, -5*u - 2576 + 18418 = -3*z. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3435 and 458?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8400480 - 0.1?\nAnswer: -8400480.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (13 - 20) - 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**9)*m**(15\/7) assuming m is positive.\nAnswer: m**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Suppose m = -5*b - 0*b + 240. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 16*d - 9840. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98230507 is divided by 108903.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.96 + 0.04. Let a = -0.3 + 0.7. Let g be (-22)\/42 - (-2)\/3. What is the biggest value in t, a, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18750 and 937500?\nAnswer: 937500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avov when four letters picked without replacement from {w: 1, g: 2, v: 3, a: 3, b: 1, o: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 15, 5*g - 2*r + 3*r - 13830 = 0. Calculate the remainder when g is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18482*u + 10 + 18482*u + 33*u**4 wrt u?\nAnswer: 132*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 498, 480, 462?\n\"Answer: -18*a + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12213669?\nAnswer: -12213669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 3*m**4 - 5*m**4 - m - 25*m**2 + 23*m**2 to a*m**3 + z + l*m**2 + t*m**4 + p*m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 2*h - 2*h + (0 + 2*h**2 + 0)*(-1 + 3 - 4) - h**2 + 7 - 7)*(-350 - 42*h**3 + 350).\nAnswer: 252*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350179081 by -1.\nAnswer: 350179081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 9*p. Let g be c(-9). Suppose g = -s - 1. Let i be ((-60)\/(-144))\/(s\/(-4)). What is the closest to -1\/5 in -1, 2, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1903, -1902, -1901, -1900?\n\"Answer: j - 1904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -3a52b?\nAnswer: 3a540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 347 = -95 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 85670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1204 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + 39*p**2\/2 + 1377*p\/4 + 325.\nAnswer: (p + 1)*(p + 25)*(p + 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8781397*p - p**3 - 3870 - 8781397*p.\nAnswer: -p**3 - 3870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 1)\/((-11)\/((-77)\/(-14))). Is 4 - 25*(o + -21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 114, 178, 252, 336, 430, 534?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3703285177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580784427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 2*s = -3*h - 13, -5*s = 2*h - 16. Suppose 0 = 4*k - 4*w - 144, 4*k - h*w = 144 - 0. What is the remainder when k is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from kukkkukkkkukkkkuukk.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35994.47 - -302.53. Let p = 36370.861 - i. Let q = -74 + p. Round q to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Suppose 18*x - 95 = -23. Solve l*n + x + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -762417177*x**2 - 171618928*x wrt x?\nAnswer: -1524834354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4 + 11*h**3 + 276*h**2 = 0. What is h?\nAnswer: -12, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 4. Let g be 4\/1*6\/m. Which is smaller: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 377, 859, 1357, 1871, 2401, 2947, 3509?\n\"Answer: 8*b**2 + 458*b - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (0 + (2 - 3)). Suppose 2*n + 15 = s. Let a be ((-15)\/n)\/((-4)\/8). Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 15 - 23*u**2 - 9*u**2 as o*u**2 + p*u + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-923)\/39)\/((-2)\/18). Suppose -g + 4*f + m = 0, g - 4*f = 3*g - 390. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6653000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 51156.09 and 3.\nAnswer: 51159.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4*o*(o\/(o*o*(o\/o**(-1\/14))\/o*o)*o)\/o assuming o is positive.\nAnswer: o**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**8\/240 + 2*l**6\/45 - 17*l**3\/3 + 5. Let c(n) be the third derivative of s(n). Find the third derivative of c(y) wrt y.\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 36*r**4 - 124*r**3 + 156*r**2 - 84*r + 16 = 0.\nAnswer: 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/((-460)\/90))\/(((-18)\/(-3))\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.06 + 32. Let c = -0.06 - g. Which is greater: -1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2112 and 29271?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90.44 + -92. Let f = r + 0.36. Which is smaller: f or -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, k: 4, e: 1, a: 3, w: 5}. Give prob of picking 1 a, 2 q, and 1 w.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 371*x**2 - 3*x - 3. Let k(c) = -186*c**2 + 3*c + 2. What is 4*g(y) + 7*k(y)?\nAnswer: 182*y**2 + 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8519*f - 5249 = 8490*f. Solve -f = 19*y - 48 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.964954 nanometers to kilometers.\nAnswer: 0.000000000000964954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 13*p + 164. Let v(i) = 32*i + 484. Calculate 5*v(j) - 14*x(j).\nAnswer: -22*j + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-39)*t**6\/t)\/(t*t\/(t\/t**2)*t*t**(-3)) assuming t is positive.\nAnswer: t**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 131*k. Let o(i) = -3*i**2 - i. Let t = -303 - -302. Let p(n) = -13*n**2 - 4*n. Let m(g) = t*p(g) + 4*o(g). Determine m(d(u)).\nAnswer: u**4 + 262*u**3 + 17161*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -128\/17 (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1162*r. Let f(v) be the third derivative of -v**5\/10 + 134*v**2 + 10. Calculate f(z(w)).\nAnswer: -8101464*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**3 + 6*p**2 - 16*p + 10. Let k(u) = -4*u**3 - 7*u**2 + 16*u - 9. Let d(f) = 6*k(f) + 5*o(f). Let r be d(11). Let b = -29 + r. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2. Let b(v) be the first derivative of 11*v**2 + v + 56. What is b(w(z))?\nAnswer: 22*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + j + 5 = -y, -361 = -12*y - 2*j - 421 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-70))\/(1\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137148303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 + 98\/56. Let o = -48 + 22. Let d = 7 + o. Which is the third smallest value? (a) 0 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*u + 19 = 0, 0*a - 4*a + 31 = 3*u. Suppose -21 = -a*g + 55. Let h = 31 - 11. Is g less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*4*2\/(-4). Suppose -4*u - b + 5*b = -140, z*u = 5*b + 113. Let a = 15 + u. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16558 + 16549 - 33107 - 1926*x)*(-4 + 1 + 2 + 3 - 3 - 2 + 0 + 0 - 1 + (2 + 2 - 2)*(-1 - 1 + 1)) as u*x + h and give u.\nAnswer: 11556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363068984 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1099 = 796*i - 789*i. Suppose -125987 = -174*q + i*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 12*a + 4. Let t be b(13). Suppose 229 = z - t. What are the prime factors of z?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 4*m + 6*m. Suppose -2*o - m = 6. Let w = o + 37. Calculate the remainder when 1 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000555802 to seven dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 197 = 203. Solve -2*x = -2*q + 4, -q - u = 2*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y - 15. Suppose -36 = -20*p + 24. Solve 0 = y*b + 5*k - 8, -3*k + 0 = -p*b - 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41466765 divided by 3489?\nAnswer: 11885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**7\/840 - 7*m**5\/60 - 4*m**2. Let a(i) be the third derivative of y(i). Let o(n) = -6*n. What is a(o(z))?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7252 divided by -2?\nAnswer: -3626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.251cm to kilometers.\nAnswer: 0.00277251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1174187\/(-69420))\/(-7) + 4. Let x be ((-1)\/11570)\/(2\/8). Let m = v - x. Calculate the common denominator of m and 97\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50829851.\nAnswer: 50829851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -41*i**2 + 92*i - 17. Let v be r(2). Which is the closest to -32.2? (a) 0.2 (b) 3\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -87*q. Let x(b) = -50*b**2. Calculate x(c(i)).\nAnswer: -378450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1150 and 8350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -31. Let f be (-3)\/(-4) - m\/(-112). What is the nearest to -1 in f, 1, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 - 8973*x - 378630 = 0. Calculate x.\nAnswer: -42, 9015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 - 3 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11443*j - 912 = 11424*j for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16052440 (base 7) to base 4.\nAnswer: -11320203100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-283)\/2264)\/((-6)\/32)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + m**5 + 5*m)*(0 + 0 - 1) + m**5 + m**5 - 3*m**5 - 2*m**5 + 0*m**3 + 0*m**3 + 3*m**5 - 2*m**5 - 2*m**5 - 10*m**5 + 6 - 6.\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15256 = -10*c - 2234. Let d = -549 - c. Is 48 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3100*r**4 + 4326*r?\nAnswer: -37200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*x - 10, -x - 1 = -4*x - q. Suppose -x*t + 7*t - 49 = -2*l, 3*t - 45 = 4*l. What is the highest common factor of 77 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5703*g**3 - 6*g**2 + 24*g - 17. Let z(q) = 5703*q**3 + 5*q**2 - 20*q + 14. What is -5*i(d) - 6*z(d)?\nAnswer: -5703*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(832) - (sqrt(52)\/sqrt(4) + 2))**2 + -3.\nAnswer: -28*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 226349262*s - 169469692.\nAnswer: 226349262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 567902*v**2 + 6*v - 30178 wrt v?\nAnswer: 1135804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023113 + 12?\nAnswer: -1023101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4788.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731 = -9*n - 26*n + 2629. Calculate the highest common divisor of n and 18528.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 1551 - 3149 + 1598.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3191 + 4463. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5 (c) 7\/19 (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2 + (-2 + 3 - 2)*(8 - 5 - 2))*(2*z**2 + z**2 - 2*z**2).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*4\/(-6). Let f = -0.05336 + -0.14664. Which is the closest to f? (a) -2 (b) -0.01 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*t + (2 - 7 + 3)*(1 - 1 + 2*t) - 2*t - 2*t - t - t + t + t - 3*t + 0*t + 2*t + (-4 + 1 + 4)*(-t + 1 - 1) - t + 3*t + t as y*t + i and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -875 + 3112. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = -f - 2*k, 3 = -f - 3*k. Which is the third smallest value? (a) 0.07 (b) -5 (c) -1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334261285?\nAnswer: 5, 66852257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 20984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/30638 and 49\/402?\nAnswer: 6158238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 + 1 = 0. Let j = -6 + 9. Solve j*k = k - t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19 - (-2 - -13) - 9. Which is the second biggest value? (a) -3\/2 (b) -46.5 (c) n (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 13) to base 14\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/((9*4\/504)\/(100\/28)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**7\/378 - h**6\/270 - h**5\/12 - 23*h**4\/108 - 5*h**3\/27 - 119*h. Suppose p(j) = 0. What is j?\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c + n - 384 = 25*c, n = -5*c + 966. Let x = 200 - c. Solve -x = -11*t + 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31574 = -7*m + 105683. List the prime factors of m.\nAnswer: 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from cctcdddgdcttttcgtc.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -0.1 (c) -2630\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 3*w**2 + w**2 + (-w + 0*w + 0*w)*(0*w + w + w) + w**2 + w**2 - w**2 + (2 - 2 - 4*w**2)*(3 - 3 + 4).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 25 = -5*u, o = 2*o + 5*u - 1. Suppose 24 = 10*r - o*r. Solve 12 = r*f - 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7256631 = 3998337. Let v = -2601655 - h. Let c be 2 - (1 - v\/(-1)). What is c rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1 (c) -0.0398 (d) -36\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((81\/(-6))\/(-9)) - (8 + -4 + 16).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6.128. Let w = 0.882 - d. Let s = -0.01 + w. Is 1\/3 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -0*g + 32. Let q = 7 - g. Let s be 4000\/(1 + q)*-44. What is s rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 832 = 5*f, 5*f - 4*f + 155 = -3*v. Let g = f - -319. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836266129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 841 - 840. Sort 0, -1, v, 67.\nAnswer: -1, 0, v, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4696, -4681, -4662, -4639, -4612?\n\"Answer: 2*c**2 + 9*c - 4707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 21*f**2 + 78*f**2 + 4 + 20 in the form l*f + u*f**2 + i and give u.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44845427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 27*a - 3*a)*(-a + 4*a - 5*a) + 0*a**2 - a**2 - 2*a**2 + 0 + 0 + a**2 + 1 + (-2*a**2 - a**2 + 0*a**2)*(6 + 1 - 2).\nAnswer: -55*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 2*i**2 + 3*i - 1. Let z(v) = 2*v**2 - 15*v + 5. Let k be z(7). What are the prime factors of j(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 21 + (-4 + 14 - 10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93165?\nAnswer: 3, 5, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 316 and 156 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + -4.6. Put 0, -2\/5, u in descending order.\nAnswer: 0, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 9:41 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -315, -2001, -6579, -15495, -30195, -52125, -82731, -123459?\n\"Answer: -241*z**3 + z - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -8, 34, 92, 166?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18222590?\nAnswer: 2, 5, 1822259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 10*v**2 - 5*v - 5. What is s(-6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {e: 8, s: 7, q: 3}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -66.99999998. What is q rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162843 - 654907\/4. Which is greater: -884 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227859*b**5 + 2*b**2 - 2021*b - 31.\nAnswer: -13671540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 16*a + 4*a + 4 + 1 - 55*a + 17*a + 19*a. Let b be 111\/(-21) - 4\/(-14). Give p(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 110\/(-4)*(-120)\/75. Suppose q = v - 39. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**3\/6 - 20*n - 4. Let k = 0 + 1. What is o(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y. Let h be a(-1). Let u = 34 + -25. Calculate the lowest common multiple of u and h + 6\/3 - -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + 132 = 3*v, -2*c = 5*v - 246. Suppose 2*b - 4 = -0*b, -4*q - 4*b + v = 0. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 11*u**2 - 26. Let r(s) = 6*s**2 - 66*s - 6. Let m be r(11). Let j be i(m). Which is the nearest to 1\/3? (a) -0.1 (b) j (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 2*s - 2*s + 24, 5*v = -2*s - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17974189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 0 - -10 - (-5 - -5)\/(-6) and -3*-1*(-8)\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 33*z**4\/4 - 2*z + 139. Let o(a) = -2*a. Determine o(s(y)).\nAnswer: -198*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = 750 - 750. Solve -4*c + 4*h - 16 = d, -4*c + h + h = 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 198 = -c. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60853.9 * -0.11.\nAnswer: -6693.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/6492 and 35\/404?\nAnswer: 655692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 692, 159, -386, -949, -1536, -2153, -2806, -3501?\n\"Answer: -d**3 - 526*d + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**2 + 4*a + 2. Let i(v) = 6*v**2 - 4*v - 2. Let f(s) = 6*i(s) + 5*z(s). Let g be f(5). Differentiate -g*t**2 + 5*t**2 - 1 - 1 with respect to t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*p - 25, -3 = -3*p - c - 2. Let x = -3295 - -36193\/11. Find the common denominator of p*70\/861*-6 and x.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 388, 3, 565, -1 in descending order.\nAnswer: 565, 388, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/15 - 64*w**3 - 38802*w**2\/5 + 235684*w\/15 - 7888 = 0 for w.\nAnswer: -102, 1, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + z - 2. Let j be n(-3). Suppose 0 = j*y - 8. Solve 4*m = -y*w - 3*w, m = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 7*k**2 + 4*k + 7. Let v = 2 + -7. Calculate the remainder when x(v) is divided by (-2 + 14\/(-6))*-3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -440?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqzx when four letters picked without replacement from {q: 5, r: 3, z: 2, x: 5}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 2123302?\nAnswer: -2123301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (3 - (11 + -13 - (0 + 0))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*-6*((sqrt(18) - ((sqrt(72) - sqrt(72)*2)\/sqrt(4) + sqrt(18))) + sqrt(18))\/sqrt(6).\nAnswer: -12*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 2. Let m(g) = -3*g**2 + 4*g - 3. Let h be m(1). What is the closest to -1\/4 in 1, h, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0089507 rounded to 4 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, n: 12}. Give prob of sequence fnnf.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 7:14 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51506963*a**5 - a**4 + 2*a**3 + 14*a**2 + 938615*a - 1?\nAnswer: 3090417780*a**2 - 24*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-four fifths of a hour?\nAnswer: 38880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13325521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 2*m - 3*m**2 - m + 249*m**2.\nAnswer: 246*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 971*a + 39. What is the units digit of c(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (7 - 7) - (1 + -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g - g)*(2*g**2 - 2*g**2 - 2*g**2)*(72*g + 5 + 93*g - 170*g).\nAnswer: 10*g**4 - 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rroooisooosoosmro. What is prob of sequence omsi?\nAnswer: 9\/19040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 11 + (-12 - -4) + 38 + -17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 580 - 382. Let y be 628\/28 + (-3)\/7. What is the highest common factor of y and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + -5 + 5 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 + 845 + 846 - 1691.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n**3 - 2*n**3 + 0*n**3)*(-1 + 1 + n) + (-2*n**2 + 3*n**2 + n**2)*(n + 11*n**2 - n) + 5*n**4 - 2*n**4 + 0*n**4)*(2*n - 2*n + 2*n).\nAnswer: 52*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 1. Let a be z(-1). Suppose x + 13 = -a*i + 3, -18 = 4*i + 3*x. Let k be 14 + 4 + i\/3. Calculate the highest common divisor of k and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 61 = r + 4*u, 0 = 5*r - 3*u - 254. What are the prime factors of r\/(-14)*9*-2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 11, o: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, y: 1, t: 1, c: 3, v: 3}. Give prob of picking 1 t, 1 v, 1 y, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 2*u**2 - 2*u. Let w be z(1). Suppose 5*h = w + 3. Put 5, h, 0 in decreasing order.\nAnswer: 5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 7*p + 10. Let s be i(-8). Suppose s*q - 9 - 1 = 0. Solve -2*j - q = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.2 + -316.78684.\nAnswer: -330.98684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 0.34\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25394 divided by 47531\nAnswer: 25394\/47531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from yyqfgzggryyygyfrg?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, -2557, 5, 2, -3 in increasing order.\nAnswer: -2557, -4, -3, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021 - 6818?\nAnswer: -2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 366 = -610. Let k(y) = y**2 - 34*y + 181. Let s be k(30). What is the greatest common divisor of s and u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5.5. Let c be ((-10)\/(-16))\/(8\/464). Let w = 36 - c. Sort 3\/5, w, z in descending order.\nAnswer: 3\/5, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 14. Let v be n(-6). Factor 16*j - 8*j + 0*j**2 + 4 + v*j**2.\nAnswer: 4*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25153 by 3.\nAnswer: 25153\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -44, -68, -92, -116, -140?\n\"Answer: -24*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6066 and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let q(t) = -2*t**2. Calculate q(y(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*i - 303*i + 77406 = -1101*i for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*h + 382, 0 = -0*h - 3*h - 9. Let t = n - 66. Let f = 100\/3 + -32. Which is the nearest to t? (a) f (b) 2\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150 or 6.1?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1300*q**3 + 23*q + 40*q + 2*q**2 + 448*q**3 + 435*q**3 + 450*q**3 to the form a + j*q**2 + s*q**3 + o*q and give o.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 238*z**4 + z**3 - 239*z**4 + 475*z**4 - 3*z in the form f*z**3 + a*z + h*z**4 + t*z**2 + r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from mvvfkakaavvafhk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2343300 (base 5) in base 13?\nAnswer: -16aac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -459*d - 1168*d + 311*d + 131473 - 26193 for d.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*18\/(-120))\/(-54*9\/(-90))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233 - 230. Solve 0 = 2*d + h + 7 - 19, -3*h = -q*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13 = 4*l, -2*l = -2*u + u + 25. Solve -2*p = -2*y + 7*y + u, 0 = -4*p + 4*y + 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*a - 3370, 0 = 2*s - 4*a - 9000 + 2190. What is the greatest common divisor of s and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1672 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 544620 (base 11) in base 14?\nAnswer: 189031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329723, 329758, 329805, 329864, 329935, 330018?\nAnswer: 330113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.135 and 105466035.\nAnswer: 105466034.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-2*sqrt(76)*-1 - sqrt(76)) + (2 + sqrt(76))*-5 + 3))**2.\nAnswer: 448*sqrt(19) + 5060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 350927 and -0.16609?\nAnswer: 350927.16609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -23\/11243 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 48 = k. Let y(c) = -c**3 - 6*c**2 + 13*c - 20. What is the remainder when k\/(-15) - (-21)\/5 is divided by y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -116.68. Let m = 2.08 + t. Let c be (0\/10)\/(0 - 2). What is the closest to 0.4 in m, c, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-64)\/14 - -4)\/(2\/(-7)). Find the first derivative of -36 + 3*s**2 + 17 + 11*s**b wrt s.\nAnswer: 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161617440 divided by 380?\nAnswer: -3056888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906 + 304 = 1642*b + 1040 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 2, e: 1, r: 2, h: 1}. What is prob of sequence ea?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 340448370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, t: 4}. What is prob of picking 1 p and 3 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let k(g) = -22*g**3 + 2*g**2 + 2*g + 1. Let t be k(-1). Let d = 17 - t. Calculate j(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:50 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26*(2\/10 + (-12)\/(-40)). What is the common denominator of -55\/6 and (-1)\/g*(-658)\/140?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p - 8. Let w be (p - 0) + -1 + 4. Solve -2*h - 1 - w = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 4:30 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/59, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021999772 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -8. Suppose 4*w - l - 34 = 0, 3*l - 3 + o = w. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 50*a**2 - 17*a + 135. What is the remainder when w(-50) is divided by 99?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19080248 and 605?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let w(n) = -26*n + 42. Let h(y) = -16*y + 42. Let x(l) = 3*h(l) - 2*w(l). Give x(g(s)).\nAnswer: -8*s**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5502 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4\/5 (b) -0.2 (c) -3\/4 (d) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 + 125. Suppose g*c = 12*c - 6. Let r(b) = -11 + c*b**2 + 23*b**2 - 17*b + 6*b. Let i(m) = -5*m**2 + 2*m + 2. Calculate -11*i(s) - 2*r(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -59. Let l = 2635\/2 - 1346. Let c = l - b. What is the closest to c in 5, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a*i**3 + 10*a*i**2 - 2*a*i + 4*a + 468520*i**3 - 1550*i**2 + 2*i - 1 wrt i?\nAnswer: 36*a + 2811120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 77. Let w be c(0). Suppose 0*n = -n + 5*s + 27, -16 = -4*n - 3*s. What is the greatest common factor of n and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 5:20 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**42*a**(-4\/7)*a**(1\/9) assuming a is positive.\nAnswer: a**(2617\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5\/3 + 336*d**4 + 20140*d**3 - 387032*d**2\/3 + 263504*d - 177504.\nAnswer: 4*(d - 2)**3*(d + 129)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11 (b) 2937 (c) -4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6058.952g to kilograms.\nAnswer: 6.058952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 58*h**2 - 29. Let q(y) = y**2 - 1. Calculate o(b) - 29*q(b).\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -37, 4\/5, 4, 7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/60*(-9)\/(36\/(-8)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77201492965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84279 is divided by 20989.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 47, 65, 79?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -7 - -4)*-10. Suppose z + 333 - 336 = 0. Solve -k*v + 11*v = -z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5082)*1)\/(-2*(sqrt(6) + 2*sqrt(6)) - sqrt(6)).\nAnswer: -11*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/2)\/j)\/j*j)\/j**2)\/(j**1)**(-3\/4) assuming j is positive.\nAnswer: j**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -43. Let r(y) = -y**3 - 2*y**2 + 3*y - 4. Let k be r(-3). Let z be 3\/k*(-1 + 0). Which is the biggest value? (a) w (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3444812830.\nAnswer: 2, 5, 47, 151, 48539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192 - 303. Let r = q - -107. Which is the nearest to -3\/2? (a) 2\/5 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3. Let c(d) = -2*d**2 + 2*d**2 + 2*d**3. Suppose 0 = -15*i + 241 - 46. Let t be (-6)\/(-5)*(5 - 0). Calculate i*c(u) + t*j(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1250, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1300696, 2603684, 3906658, 5209612, 6512540, 7815436?\nAnswer: 9118294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*w - 156 = -65*w. Let y = w - -53. Let g be (1\/2)\/(2\/64). Solve -4*n + 5*h = 19, 5*h + y = g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*v + 2904 = 1164*v - 33189 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 17*y - 18. Let h be v(-18). Let u = h - -5. Solve 4*o - 2*r - r = -4, u = -5*o + 2*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349292 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: What is prob of picking 1 x and 1 m when two letters picked without replacement from {x: 1, m: 1, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 4\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -28*s + 663. Calculate the smallest common multiple of c(23) and 119.\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*d + 26 = 7*d, 5*l = 3*d. Let g = 1 - -1. Suppose -g*q = 2*q - 20. Solve 2*p + 0*p - l*b - 7 = 0, -b + 26 = q*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4690 - -5282. Calculate the greatest common divisor of y and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:38 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 232961053 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 11)*(-4*f**2 + 5*f**2 - 3*f**2)*(14*f**2 - 9*f + 9*f).\nAnswer: -448*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16*l + 10. Let b(s) = 5*s - 3. Let p(a) = -10*b(a) - 3*k(a). Let q(j) = -2*j. Calculate q(p(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 676 and 30316.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 1\/240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by 192\nAnswer: -37\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0004 and 1.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - z - 1. Let j be b(-1). Let p(d) = d**3 + 9*d**2 + 7*d - 8. Suppose 6*o + 0*o = -48. Let q be p(o). What is the biggest value in j, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -77?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**3 + 3*x**2 + 2*x + 1. Let r(p) = p**3 + p**2 + p + 1. Let h = 1 - 2. What is h*z(k) + 3*r(k)?\nAnswer: -k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 26*j - 38. Calculate f(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 11*y - 72. Suppose -7*f + y = -10*f. Is -22 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00252065764 to six decimal places.\nAnswer: -0.002521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 - (-231)\/22. Let p = 43 - j. Which is the smallest value? (a) -1\/5 (b) -0.4 (c) 5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -1064, -3940, -9622, -19046, -33148, -52864?\nAnswer: -79130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 1\/21*p**3 - 4\/7*p - 20 - 3\/14*p**2. Find i such that b(i) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25972, 207105, 698556, 1655485, 3233052?\n\"Answer: 25860*r**3 - r**2 + 116*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2201363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 7*p + 6. Let n(u) = u + 2. Let v be n(2). Let w be s(v). Suppose 70 = 5*c + 4*m, -3*m = -m + w. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8.8335153.\nAnswer: -4.8335153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361404496.\nAnswer: 2, 3067, 27743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46465*v**2 - 42*v - 59 wrt v?\nAnswer: -92930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a + c, -2*a + c + c = 2. Suppose m - 15 - 4 = a. Suppose 3*t + g = -0*g + m, -31 = -5*t - 2*g. What is the remainder when t is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000441536 rounded to 6 decimal places?\nAnswer: -0.000442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3 + 5, 0 = 3*u + 3*t - 54. Does 12 divide (24\/u)\/(2\/130)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 4820.\nAnswer: 33740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -14, 3, -0.26, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 1215?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23660 by -4.\nAnswer: -5915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6039 and 715.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2*k**2 - 3*k + 5. Let f(v) = 9*v + 7. Let n(i) = -3*f(i) - 7*h(i). Let w(o) = 3*o**2. Calculate n(w(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11082 + 11087. Solve 14*w - 10*w - 31 = -a*s, -s - w + 7 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 38*s - 10. Let k be h(7). Suppose 18*z - 10*z = -1064. Let w = z - k. What is the closest to -2\/11 in 0.1, 2, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 865582561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**5 + 45*g**4 - 90*g**3.\nAnswer: -5*g**3*(g - 6)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f - 68. Let j be a(9). Solve 3*t = -b + j, -2*t = -b + 5*b + 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2194, 7830, 17224, 30376, 47286?\n\"Answer: 1879*t**2 - t + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {s: 2, x: 1, j: 2, n: 2, z: 4, l: 3}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2087 and 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8469 = -632*f + 43229. Suppose x + v - 13 = 0, -3*x = x - 2*v - 64. Calculate the lowest common multiple of f and x.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 15, -5, -7 in ascending order.\nAnswer: -7, -5, -2, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzzzfzzizffzff. What is prob of sequence izz?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-3350)\/(-15)*6\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.2 + -12. Let i = q - 0.209. Let y = 5.691 - i. What is y rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -144, -199, -272, -363?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) 2\/13 (c) -2\/11 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 times -2.6?\nAnswer: -0.0676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/98)\/((-168)\/(-60368)*77)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1154441 less than or equal to -1154440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sevenths of a week in days?\nAnswer: 23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-6))\/((g**3*g)\/g)*g**10*g\/g**(2\/13))**(-4\/7) assuming g is positive.\nAnswer: g**(-200\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*f**2 - 164*f**2 - 2*f - 3*f + 5*f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2884*w**2 - 671*w + 6 wrt w.\nAnswer: -5768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3375*t - 10097*t + 3363*t + 3364*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (1 - (3 - 1))*314\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/28)\/(6\/7).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*w = 3 - 0, -4*f = -3*w + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 25*m - 48. Suppose 0 = -2*n + 2*q, 4*n - 27 - 5 = -4*q. Calculate the smallest common multiple of v(22) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/3 + 70*v**2\/3 + 8*v\/3 - 280\/3 = 0. What is v?\nAnswer: -2, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3383380 to the nearest integer?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 421238583 or 421238582?\nAnswer: 421238582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634466 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.561192 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51770291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2688, 5379, 8070?\nAnswer: 10761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6534939.502 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 + -0.09. Is 2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, n: 2, t: 3, j: 1, c: 1, k: 1}. Give prob of picking 2 t and 1 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 6*r**2 + 3*r - 4. Suppose -4*m + 26 = 3*d, 13 = -2*d + 6*d + m. Let j = -7 + d. List the prime factors of g(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/3 + 13*r**3 - 413*r**2\/3 + 555*r - 750 = 0. Calculate r.\nAnswer: 3, 5, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*t - 19*t + 2*t)*(-746 + 746 - 20*t).\nAnswer: -460*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = j + 3*y, 7*y = -4*j + 11*y + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3 = 4*x, 0*u + 2*u - 13*x = -33*x + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:53 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282360.\nAnswer: 2, 3, 5, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -30, -51, -72, -93, -114?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/130)\/(-27 + 16554\/620).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(9\/4)\/m*m**8*m**(1\/6)\/m*m**(-19) assuming m is positive.\nAnswer: m**(-127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1366560567\/(-117) - 4\/26) + 5. Round f to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2740808474 rounded to 3 decimal places?\nAnswer: 0.274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 62918.0055 microseconds?\nAnswer: 0.00000010403109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71 and 863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 492 - 489. Let o(q) = q**2 + 3. Let w(c) = c**2 + c + 2. Let p(v) = u*w(v) - 2*o(v). Give p(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.331057 micrometers to meters.\nAnswer: 0.000008331057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -102a - -1?\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -8, 3, -655.\nAnswer: -655, -10, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let y = -33.1 + 33. Let m = y + h. Sort 2\/3, -0.1, m in increasing order.\nAnswer: m, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2016 - 2013. Solve 0*h = -a*t - 5*h + 9, 0 = 5*t + h - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s - 3*j = 6, 0 = 2*j - 4. Sort -5, 2, s, 3 in ascending order.\nAnswer: -5, s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5 - c**3 - 3 - 6*c - c - 4*c + 12*c**2. Let n be k(11). Suppose 0 = -n*z - 0*z + 126. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 5:59 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*u = -50, 0 = a + 78*u - 74*u - 66 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-1*3 - (-27 + 29)) + 7. Sort -120, -4, u in increasing order.\nAnswer: -120, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.347 - 0.08.\nAnswer: 0.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35764, -144187, -324900, -577909, -903220, -1300839?\nAnswer: -1770772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j + 8 = 28*j. Let r be 40\/(-56) - (j - -1). Let l be 1*((-4)\/(-14) - 180\/385). Which is the third biggest value? (a) r (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 22. Let w = f + -6. Which is the third smallest value? (a) 0.4 (b) w (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.25 and 5.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 165 = 7*w. Calculate the highest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 14*j**4 - 704*j**3 - 7136*j**2 - 28160*j - 38912.\nAnswer: (j - 38)*(j + 4)**2*(j + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 10 = 4*q - 2*d, 2*d + 3 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 271\/((-39024)\/(-1920))*3\/4*6\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005350433 rounded to 6 decimal places?\nAnswer: -0.000535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -8*u + 5. Suppose -4*j = j + 30. Let d be j\/(-3) - 36\/19. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 3*z**2 - 4*z + 42. What is the smallest common multiple of g(0) and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:54 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w + 199. Let o be n(9). Calculate the greatest common factor of o and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvi when three letters picked without replacement from {k: 1, z: 7, v: 2, i: 7}?\nAnswer: 49\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 133, -1, 5, -5.\nAnswer: -5, -1, 0, 5, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 + o**2 + o - 57. What is h(0)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 553694.8 centuries?\nAnswer: 664433760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 236807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*k + 94 = -13 - 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 + 2 + 5 + 45*l**3.\nAnswer: 45*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 5*l**2 - 2*l - 15. Calculate f(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 13*m**2 + 16*m + 16. Let g be u(-11). Suppose -g + 2 = -5*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 216 - 45. Calculate the highest common divisor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5 - 4*t**4 - 61*t**3 - 164*t**2 - 132*t = 0. Calculate t.\nAnswer: -3, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/10 + (-27)\/5. Let j = 8 + z. Solve 2*r = -2*l - 0*l + 18, 0 = -2*l + 2*r + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6 - c + 11 + 7. Let d be u(6). Suppose d*r - 3*r = 21. Solve -r*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 14416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 1, p: 1, e: 3, o: 1}. What is prob of sequence yh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1049\/2776 + -1\/347. What is h in -1\/4 - g*h - 1\/8*h**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (23156 - 256\/(-16)) + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10 = b. Suppose 0 = 2*d - b*d - 3*z + 189, 3*d - 4*z - 161 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -232*n + 229*n + 128049. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/208200 and -13\/6940?\nAnswer: 208200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -1, -7, -6 in increasing order.\nAnswer: -10, -7, -6, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, z: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 6. Let t be p(-4). Let m be (-21)\/t*(-36)\/(-21). Which is smaller: 1\/4 or m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d + 1. Let u(c) be the second derivative of -c**3\/6 - 35*c. Give u(j(g)).\nAnswer: 11*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -15718*t + 471529. What is x(30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 - 410*t**2 - 208*t + 209. Let v be u(103). Which is the second biggest value? (a) 4 (b) -1 (c) v (d) -0.02 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/10, 12, -281?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -26, 4, -40 in increasing order.\nAnswer: -40, -26, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + j)*(2 + 0 - 3)*(0*j - j + 0*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -12. Let b be 4\/14 - (-48)\/(-21). Let i be b\/4*(1 - 3). What is the closest to i in o, 3, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84718 or -84717?\nAnswer: -84718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 - 5*i**2 + 6*i**2 + 2 + 2*i**2 + 0*i**2 as p*i**2 + o*i**3 + c*i + k + z*i**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33255 (base 6) to base 7.\nAnswer: 16352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 311 (base 12) to base 13\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 5*x - 6. Let f(l) be the first derivative of -l**3\/3 + l**2\/2 + l + 16. Give -d(y) - 4*f(y).\nAnswer: 2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vydn when four letters picked without replacement from ndeydvg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = 3*w, -4*r + 4*w + 27 = -9. Suppose r + 0 = -h. Let f = h - -12. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 1:34 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.48 + -2.28. What is the fourth smallest value in 4, -0.3, q, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/3*(-1)\/2. Let k be 2*(-9)\/(-6)*v. Suppose -4*h - 4*n - 6 + 2 = 0, -5*h + k*n = -19. Calculate the remainder when 4 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 472 - 471.94. Which is smaller: c or 0.8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 39.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 394*a. Let q(l) = 73370*l. Determine y(q(s)).\nAnswer: 28907780*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37905361609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 158*g - 2051. Calculate k(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -32)*5 + 2 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 9, 1, -21 in increasing order.\nAnswer: -21, -4, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 + 49*j - 12. Let k be q(12). Solve -2*c - 9 = 3*o, k + 2 = -5*o + c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k**2 - k - 2. Let f(w) be the first derivative of w**2\/2 - 3*w + 88. Let g be f(7). Calculate t(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**2 - 68*s + 3. Let m(p) = -5*p**2 - 68*p + 3. What is -5*m(i) + 4*t(i)?\nAnswer: i**2 + 68*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 489326 by -2.\nAnswer: -244663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 43, 130, 291, 550?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/3 in 0.013, 5, 5937, -2, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162 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: Calculate -1778571*-0.4.\nAnswer: 711428.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbe when three letters picked without replacement from {z: 7, e: 1, v: 5, b: 6}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 11*h**2 + 10*h + 32. Let k be q(12). Suppose 0 = -k*a + 47 - 31. Factor -5*b + 0 + 5\/3*b**4 - 25\/3*b**a - 5\/3*b**3.\nAnswer: 5*b*(b - 3)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381825 is divided by 564.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 14. Suppose h - 4*h = l. Calculate the remainder when (-6)\/(-2) + (44 - h) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*w = w. Suppose 5*g - 46 = -r, -4*g + w*r = 3*r - 39. Suppose 1560 = g*b + 336. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -10. Let o = k - 58. Which is the closest to -0.1? (a) -4 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, v: 4, o: 9, x: 2}. Give prob of picking 2 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*-66857.3\nAnswer: 73543.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/66 or -1?\nAnswer: -5\/66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*d + 132*d**2 - 347*d**2 + 217*d**2.\nAnswer: 2*d**2 - 97*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + 8*i**3 - 12*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((15\/20)\/(-1))\/(-3). Let s(q) be the first derivative of 2*q + c*q**4 + 0*q**2 + 0*q**3 - 6. Determine s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/38 + (-6)\/57. Let d(l) = -l**2 - 4*l. Let f be d(p). Solve 1 = f*b - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*c + 19 - 22 = 0, 4*g + 12 = 5*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18685198 to the power of 1\/2, to the nearest integer?\nAnswer: 4323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 12:47 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*f + 12. Solve 2*h + 2*z + z + f = 0, 3*h = -3*z - 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lalalaaaaalal. Give prob of sequence lall.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*g - 623*g = f + 14, 5*g - 34 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**7\/420 - z**4\/3 + 2*z**3\/3 - 8. Let g(y) be the third derivative of k(y). Differentiate g(m) with respect to m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from yygjjjj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10664*g + 10663*g + w + 1 = 0, 5*w - 43 = -3*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/19)\/(r**0*r)*r**20\/(r**2*r) assuming r is positive.\nAnswer: r**(310\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 598, 15, -4, -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -137361 - 4?\nAnswer: -137365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21262890 is divided by 1932987?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-3 + 2)*2. Let r(m) = -m**2 - 2*m + 4. Let x(p) = 3*p**2 + 3*p - 7. Let t(j) = b*x(j) + 7*r(j). What is the second derivative of t(a) wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145136.\nAnswer: 2, 3, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 4*x - 1. Let t be d(7). Let u = t + -14. Suppose 3*q - u*q = -111. Is 38 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13818)\/(-13230) + 4\/(-90). Let c be 10*1\/(-5)*-2. Solve -c - r = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -1.135.\nAnswer: -0.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -58. Calculate the common denominator of 76\/3 and (a\/(-48))\/((-6)\/(-81)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + -3.93. Let h be 6 + ((-36)\/(-28) - 1). Let w = -211\/28 + h. Which is the smallest value? (a) g (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 + 23877*k**3\/2 - 143631576*k**2 + 26304057504*k.\nAnswer: -k*(k - 23784)**2*(k - 186)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608, -607, -606, -605, -604, -603?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95159520 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 10*o - 8*o)*(0 + 5 - 6)*(o**2 - o**2 + o**2) to k + c*o**3 + h*o + t*o**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 + 0*l**4 - 3*l**4)*(138 + 120 - 312).\nAnswer: 54*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-9)\/4)*-3. Suppose -l + 2 = -4. Let z be 4\/3*l\/m. Is z != -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -859 by -767.\nAnswer: 859\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166 + 587 + 579 - 6*y - 1493*y**2.\nAnswer: -1493*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -54. Let z = -23 + n. Suppose 0 = -k - 3, -2*s = -7*s - k - 3. Solve s = 3*x + 2*x + z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(-5*h - h + 0*h)*(4 + 42 + 2*h + 63) in the form f + l*h + t*h**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38616.09 nanometers to kilometers.\nAnswer: 0.00000003861609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1082*l - 210983. Determine k(-195).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 40. What is a(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*g - 1100700 = 104*g. Round g to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10937 + -10937. Solve k = 18*t - 11 + 65 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 63.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**5 - 1658692*z**4 + 3*z**3 + 72611*z**2 - 62*z - 2.\nAnswer: -180*z**2 - 39808608*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 765124*w\/5 + 73176841922\/5.\nAnswer: 2*(w - 191281)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b - 322 = -2174 - 2477 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/425*10)\/((-1)\/150*-255)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**4\/3 - a**2\/2 - 2*a. Let p be (1\/(-2))\/((-7)\/14). Calculate g(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = 0. Let w be p*(3 - (3 - 1)). Suppose w = -i - 0*k - 4*k - 10, 0 = -i - 2*k - 6. Let z(b) = 2*b**2 + 2*b - 2. What is z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 232323?\nAnswer: -232320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 441, 377, 297, 201, 89, -39?\n\"Answer: -8*o**2 - 40*o + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 72 = -2*v, v - 12 = -3 + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 16\/(-6))\/(10\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152 + 361\/2. What is the common denominator of r and -2*(30\/19 - 3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 11:42 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-7) - 1260\/(-98). Let i = 5 + -2. What is the second derivative of -m*p**3 - p**i - p**3 + 0*p + 18*p wrt p?\nAnswer: -90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4847827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (451 - 454) + (1 - 12) + -1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/4*s**3 - 3\/4*s**4 + 0*s - 15\/2*s**2 + 0.\nAnswer: -3*s**2*(s - 10)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 481*i**2 - 4*i. Let q(a) = -348243*a**2 + 2898*a. Determine -1449*l(p) - 2*q(p).\nAnswer: -483*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303 + -2201322000?\nAnswer: -2201323303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*a**4 + 0 + 2*a - 3*a**3 - 15*a**4 + 2 + 7*a**3 to s*a**3 + k + r*a**2 + x*a**4 + u*a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7780823557?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, 134, 414, 822, 1364, 2046?\n\"Answer: n**3 + 55*n**2 - 14*n - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 22. Suppose 27*w - 23*w + 12 = 0. Let n be v(w). Is 40 a factor of n\/2*(9 + 4 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -22. Let f be 24\/28*7\/w. Find i, given that -2\/11*i**3 - 4\/11*i - f*i**2 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13104900 by 100.\nAnswer: -131049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.063\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-1 + 6 + -12 - (-11 + -46)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.221461 centuries to years.\nAnswer: 322.1461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429543 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -55*v - 1. Give d(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:59 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1592\/(-1008) + (-4)\/(-9) and -89\/58.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 620 = 2*p. List the prime factors of p.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 7*w + 23 + 5 - 13. Let y be j(5). Suppose -5*s + 35 = -y*t, 3*t - 26 = -2*s + t. What is the lowest common multiple of s and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -57. What is the remainder when (c\/(-20))\/(2 - 89\/45) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2\/195, 2\/7 in decreasing order.\nAnswer: 1\/2, 2\/7, -2\/195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 136?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (77\/(-231))\/((-2)\/(-30))*-1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 241*d**5\/20 - 164*d**2 - 8*d. What is the first derivative of h(f) wrt f?\nAnswer: 723*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 8) to base 16\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 135 = -26*a. Let c = a + 95. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -29*g + 7. Suppose 10 = -4*v - 22. Is r(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -571897?\nAnswer: 21\/571897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, d: 1, t: 3, v: 3, j: 1, i: 2}. Give prob of sequence dj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23969, 47968, 71997, 96068, 120193, 144384, 168653?\n\"Answer: 2*n**3 + 3*n**2 + 23976*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 9*w + 10. Determine t(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 o when three letters picked without replacement from owmmok?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 3 = -3. Let c(v) be the second derivative of 1\/80*v**5 - v - 1\/24*v**3 + z*v**4 + 0 + 0*v**2. Suppose c(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-12) - (-318)\/(-8). Let g be o\/(-22) - (-4)\/22. Let y = 2 - 1. Which is the second smallest value? (a) y (b) 1\/8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024378 rounded to four decimal places?\nAnswer: 0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -38*c + 450. Let b be u(12). Calculate the least common multiple of b\/(-15) - ((-712)\/20 + 4) and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298039417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h**5 - 3125*h**4\/2 + 6615*h**3\/2 + 790*h**2 - 2550*h = 0 for h.\nAnswer: -5\/6, 0, 1, 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -32*a - 3073. Give q(-96).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnkd when four letters picked without replacement from odokngdk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = f, -2*o - 3*o - 45 = -5*f. Sort 12, 1, o in increasing order.\nAnswer: o, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 630443 + -17617\nAnswer: 612826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 276*t**2 - 825*t - 7. Determine s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 395552498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - ((20 + 0 + -10 + 0 - 10) + -6).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000497512 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55046 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 317479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f**3 - 25*f**3 - 16*f**3 + 90*f**3.\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 47*k**2 - 307*k - 1050. Give s(-40).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*4\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 873300 to the nearest ten thousand.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 1, e: 1, j: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 51 = -5*j. Put -1, 0, j in decreasing order.\nAnswer: 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 5:35 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 619.1173 litres?\nAnswer: 619117.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -26 + 37050 + (-3 + 7)*1\/(-2).\nAnswer: 2, 107, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*d**2 - 2 + 4 - 3.\nAnswer: 356*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -24. Factor -s**4 + s**5 + 3*s**2 - q*s**3 - 4*s**4 + 2*s**4 + 4*s**3.\nAnswer: s**2*(s - 3)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12926, -13155, -13536, -14069, -14754, -15591?\n\"Answer: -76*s**2 - s - 12849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, x: 1, s: 2, d: 6, h: 3}. What is prob of picking 1 x and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (5 + -1 - (2 + 14) - -15).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62999 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**8\/2688 - k**7\/840 - k**6\/480 + k**5\/60 - 7*k**4\/192 + k**3\/24 + 14*k**2. Solve a(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594237647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2) - 0 - 21. Let k = -14 - b. Suppose -4*r - 8 = -k*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 35817345.\nAnswer: 143269380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 29*l**2 - 9*l - 851. What is the remainder when y(-28) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -20 + 136. Suppose 0 = 4*m + 9 - i. What is the remainder when 10 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:36 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101)\/2 - 67000\/(-1340)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - -0.4. Let t = 2 - g. Put t, 0.2, 1 in increasing order.\nAnswer: t, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(66)*2*1)\/(sqrt(6) - (sqrt(6) + sqrt(24)*2 + sqrt(6))) + 0.\nAnswer: -2*sqrt(11)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q + 28*q - 585 = 15*q. Which is greater: q or 7\/10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*h + 128 + 543 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 10. Let q be d(-8). Let c be 2\/q + (-4)\/(-6). Let t(m) = 7*m**2. What is t(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -15.9. Let k = 15.5 - w. Let f = 107 + -107.1. Which is the fourth biggest value? (a) k (b) -5\/2 (c) -0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1049, 1549, 2049, 2549, 3049?\n\"Answer: 500*x + 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.8 take away -6.8?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -278481816 + 0.4\nAnswer: -278481815.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9506 + 9495. Let y(n) = -20*n**3 - 1. Let p(i) = 7*i**3. Determine m*p(x) - 4*y(x).\nAnswer: 3*x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + (sqrt(300) - sqrt(300)*2)*3 - sqrt(300)) + 5)**2.\nAnswer: -300*sqrt(3) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a**5\/5 - 392*a**4\/5 - 2940*a**3 + 47352*a**2\/5 - 1424*a\/5 - 63072\/5 = 0. What is a?\nAnswer: -73\/3, -1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**4 - 3936*s**3 + 765*s**2 - 7*s wrt s?\nAnswer: 48*s - 23616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 6*a**3 - 5*a**3 + 7*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.6 - -38.593. Let b = 0.95 - o. Is b less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) - 60\/14. Let a(q) be the second derivative of q**5\/2 - q**4\/6 + q**3 + 3*q**2 + 2*q. Let v be a(b). Round v to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 52 = 2*g, 4*g + 22 = -2*a + 138. What is the highest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-6)\/(-18) - 3. Let j = 171 - 852\/5. Which is greater: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 14*x + 1. What is n(13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - s + 34 - 6 - 3.\nAnswer: -s + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526756709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 31*2\/(-2). Let i(q) = -q. Let f be i(0). Let x = f - o. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k + 5*t - 58, -3*k = -2*t - 208. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1355, -10931, -36915, -87509, -170915, -295335, -468971?\n\"Answer: -1367*j**3 - 2*j**2 - j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in -0.4, 2\/9, -1\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2094816 and 52704?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 9*n**2 + n - 5. Suppose -2*f - 2*r = 2*f - 2, 5*r = 4*f - 37. Suppose f*g - 2*g - 9 = 0. List the prime factors of l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2484 = -2*s - 4*r, -3*s + 3958 - 232 = -5*r. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3825 in -1, -0.5, -0.021, 1\/90?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1819, 1820, 1821, 1822, 1823, 1824?\n\"Answer: o + 1818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/24 and -35\/582.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -2. Suppose -4*l + z - 14 = 0. Put -1, l, -5 in increasing order.\nAnswer: -5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2) + 156\/(-8) + (-14)\/(-14). Let r(m) = -m**2 - 21*m - 74. What is r(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23776, -23775, -23774, -23773?\n\"Answer: j - 23777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*n + 26, -n - 4*p = 3*n - 32. What is the remainder when 17 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120104, -240210, -360316?\nAnswer: -480422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/13)*z**23*z\/(z**(-1\/7)*z)*z*z\/z**(-7)*z)**(2\/41) assuming z is positive.\nAnswer: z**(6116\/3731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 476354 - 7?\nAnswer: 476347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.06 + -2.96. Which is the nearest to 2? (a) 1 (b) r (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 13. Let y(x) = -x. Let h(b) = g(b) + 3*y(b). Let f(z) = -3*z + 6. Suppose 0 = 5*j - 3*r + 30, j = 12*r - 11*r - 4. Determine j*f(t) + 4*h(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l. Suppose w - 48 = -2*w. Let v = w + -13. Solve -v*o + 11 - 2 = l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 4. Let d(r) = -r**2 - 5*r - 3. Suppose -6*m + 134 = -28. Let y = 22 - m. Let b be d(y). Let i(n) = -9*n + 9. Give b*i(f) + 7*v(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 112\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 4247?\nAnswer: -4253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 36*m**2 + m - 13. Let z be (4\/(-26) + 392\/182)\/1. Let p(x) = -17*x**2 - x + 6. Let t(b) = z*a(b) + 5*p(b). Find the second derivative of t(d) wrt d.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153849*j**2*t - 41919*j**2 with respect to t.\nAnswer: 153849*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/15))**(-46)*j*j*j*(j*j**(-2\/7)*j)\/j*j*j**(-2\/3) assuming j is positive.\nAnswer: j**(103\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0006 and 17.\nAnswer: 17.0006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 0 - (-15 + 1 + -2 + -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(b - 3*b + 0*b)*(-3 + 1 + 0 + (1 + 4 - 3)*(1 + 1 + 0)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9299824 to the nearest integer?\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 4:03 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6 + 20*j + 7 - 11*j - 8*j - 6. Calculate p(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -108*v**3 - 5*v**2 + 29*v. Let f(c) = 2*c**2 + c. Let k(a) = -3*f(a) - q(a). Find the third derivative of k(p) wrt p.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 12 - 22 + 15 - 15*x**2 + 72*x**2 as z*x**2 + y + l*x and give z.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(136)*-5 + sqrt(136))\/(sqrt(128)*1))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -8507, 0.04, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36129057 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1581*a**2 - 5*a - 708. Let m(j) = 790*j**2 + 2*j + 353. Let s(v) = 5*m(v) + 2*p(v). Differentiate s(r) with respect to r.\nAnswer: 1576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 5. Put 5, 0, x in descending order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69538950 to the nearest one hundred thousand.\nAnswer: -69500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*f**2 + 425450*f - 2127625.\nAnswer: 5*(f - 5)*(3*f + 85105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) -4\/7 (b) -0.1 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1938492765 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14132 - 7695. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8239000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109268370257 - -0.09.\nAnswer: 109268370257.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 50 = -4*k. Suppose -10*a = -11*a + 6. Calculate the remainder when k is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*p + p**3 + 12*p**2 - 78*p**4 + 218*p**4 - 5*p**2 - 4 + 43*p to z + f*p**3 + w*p + o*p**2 + h*p**4 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.73 - 0.07. Let d = -0.7 - r. Let n(i) = 5*i + 25. Let v be n(-5). What is the closest to v in d, -5, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17864.96 + 18477. Let f = 612 - s. Sort -0.07, -3, f in decreasing order.\nAnswer: f, -0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:15 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) 2\/7 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 40 = -2*v, 6*k + 2598*v - 2601*v - 51 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2 + 11370*y - 952000 = 0.\nAnswer: 85, 5600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2468, 2317, 2166, 2015?\nAnswer: 1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1)\/(-81*219\/(-786429))?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10807.1 + 10807. Which is the nearest to d? (a) -4\/3 (b) -4 (c) 442\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (734799 - 734799 + 144*o)*(0*o + 0*o - o**2) + (o**2 + 3 - 3)*(-4*o + 6 - 6).\nAnswer: -148*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((2\/(-664))\/((-6)\/(-12))). Calculate the common denominator of 77\/10 and 3\/((-36)\/y) - -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -6 (c) -1 (d) 2\/9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2810 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*n + 109 - 630*n + 102 - 212.\nAnswer: -945*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 1. Let h(r) = -1. Give -h(b) - m(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*k - 51*k - 39*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2819.\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**3 + 150*x**2 + 51*x + 15. Let w be j(-16). What is the greatest common factor of 105 and w?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhchvvhchccsvhs. Give prob of sequence vhsv.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85241083597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 210360.15 rounded to the nearest 10?\nAnswer: 210360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4508*q**3 + 300*q**2 + 12*q - 2.\nAnswer: -27048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + -0.49. Let q = 0.705 + d. Let x = 0.14499843 - q. What is x rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18, 3, -1 in descending order.\nAnswer: 3, -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51543, -51496, -51375, -51144, -50767, -50208, -49431, -48400?\n\"Answer: 6*y**3 + y**2 + 2*y - 51552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 1314 - 1389 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(170) - (sqrt(170) + -2*sqrt(170) + sqrt(170)) - sqrt(170)) + sqrt(170))*3)\/(-2*(sqrt(10) - sqrt(160)*-1))*-3.\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {p: 4, c: 2, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/384 and -29\/95808.\nAnswer: 191616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, -511, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let v(q) = -1. Let g(k) = -v(k) + x(k). Let z be g(8). Let w(h) = -8*h - 12. Let b(t) = -2*t - 3. Give z*b(n) - 2*w(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.3, 603, 0, -0.5 in decreasing order.\nAnswer: 603, 16, 0.3, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 92*7379\nAnswer: 678868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (3 - ((-226)\/(-4))\/((-22)\/(-44))). Calculate the highest common factor of a and 2169.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**6\/45 - 4*l**5\/45 - l**4\/54 + 8*l**3\/27 + 4*l**2\/9 - 39*l. Determine o so that y(o) = 0.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2958389*d**3*v + 2*d**2*v + 12685*d*v - 19*d - 2*v + 4 wrt d?\nAnswer: 17750334*d*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2 + 6*g + 1)*(-197 + 197 - 20*g**2)*(2*g - 2*g - 2*g + (-4 + 8 + 0)*(2*g + 2 - 2) + 2*g - 2*g + g).\nAnswer: -280*g**4 - 420*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 653.24045 + -0.04045. Let g = b + -653. Let h = 238\/5 - 47. Sort h, -2, g, -4\/5 in descending order.\nAnswer: h, g, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 - 0) - (19 + -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1a76?\nAnswer: -1a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20.7 times 0.0145\nAnswer: -0.30015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 42*n + 52. Let d be r(43). Which is greater: -5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)*t*t*t**(-1\/2)\/t)\/((t\/t**(3\/2)*t)\/(t**(-2\/15)*t)) assuming t is positive.\nAnswer: t**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 4 + sqrt(11) + 2 + -1*sqrt(11) + -1)**2 - ((sqrt(704) + -2)**2 + -1)*6.\nAnswer: -4118 + 222*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqccccqq. Give prob of picking 4 q.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:43 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -3 - 57. Suppose -421 = m*j - 506. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:30 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.9 - 7. Let p = 31612 + -347400\/11. Let g = -30 + p. Are g and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298365 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/7)\/((-702)\/273)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*a**3 - 2*a**2*p**2 + 27*a*s - 12*p**2 + 2*p*s wrt a?\nAnswer: 18*a**2 - 4*a*p**2 + 27*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/3258 and 71\/10136.\nAnswer: 91224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 3\/1687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 - 362*b**2 + 3217*b - 138. Calculate t(111).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130441919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2067466796.\nAnswer: 2, 89, 883, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 116 = 39. Sort h, -3, -0.1, 2 in decreasing order.\nAnswer: 2, -0.1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-23)*(n\/(n\/(n*n**(-7))*n))\/n*n*n**(-1\/6)*n assuming n is positive.\nAnswer: n**(-535\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 2\/7 (b) 0.2 (c) -0.3 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187541769?\nAnswer: 3, 163, 383521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 3 + l - 2*l + (3*l - l - l)*(-1 - 1 + 1) + 159 - 17*l - 159 - l + 3*l + 0*l + (3 + 3 - 4)*(-2*l + l + 3*l).\nAnswer: -10*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 3*k + 5. Let o be u(-4). Let v(n) = n**3 - 10*n**2 + 7*n + 12. Calculate v(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 + 2*p**3 - 5*p**3)*(62 - 62 + 8*p**2).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**3 - 10*y**2 - 11*y + 5. Let h(r) = -4*r**3 + 9*r**2 + 10*r - 4. Let u(j) = 3*a(j) + 4*h(j). Let n be u(7). Which is smaller: n or 1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6006 less than or equal to -6019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 1:52 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 12:51 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22829 is divided by 266?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.49 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2856 and 389640?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 446152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20900000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-3\/2))\/y)\/y**(-3))\/(y**4\/(y*y*y**5))*y**(4\/9)*y*y*y**6\/y*y*((y\/y**0*y)\/y)\/y*y*y\/(y**(-4)*y) assuming y is positive.\nAnswer: y**(323\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-6) + -1)*72\/(-40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1068 = 2*r - 896. What are the prime factors of r?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 6, -1, -118246, -7 in increasing order.\nAnswer: -118246, -7, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -20*n**7\/7 + 14*n**3\/3 + 22. What is the third derivative of s(u) wrt u?\nAnswer: -2400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - 10*r + 5. Let l(q) = 5*q**2 + 23*q - 10. Let w(s) = -7*k(s) - 3*l(s). Calculate w(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.45911cm to meters.\nAnswer: 0.2945911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = -6. Let l(z) = -x*z**2 + 4*z**2 + 3*z**2. Let y(o) = -4*o - 126*o**2 + 4*o + 22*o**2 + 99*o**2. Give y(l(f)).\nAnswer: -45*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r + 0*r)*(r**2 - 4*r**2 + r**2) + (r**2 - r**2 - 5*r**2)*(-11 - 5*r + 11).\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2) - 0)*6. Let m = 11 + d. Suppose 0 = -m*l + y + 1, 5*y = -2*l + 6*l + 13. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 25*t = 42 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(4)*-6 + sqrt(25) + 2*sqrt(3600))\/((sqrt(180)*1 + sqrt(180))*-5)*-2.\nAnswer: 19*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x = -28. Suppose 3*s + 4 = x. Suppose -2*m = 4*d - 24, -5*m + d = -50 + s. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4887 = -799*h - 2900 - 1002 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(612)*-2 - ((sqrt(612) + -2)*4 + sqrt(612)))**2 - 3*(sqrt(612)*-1)**2*1.\nAnswer: -1160 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 8:02 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0\/(-1) - 7067\/1719.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1, -0.2, 353, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*g**2 + 116836*g - 58427*g - 58409*g.\nAnswer: -91*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -11. Let m(l) be the first derivative of l**2\/2 + 3*l - 6. Let t(p) = -1. Calculate q*t(y) - m(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 18*o - 3. Let d be m(3). Suppose 4*w - 2*w = -2*l - 2, 0 = 3*w - 3*l - 21. Find the third derivative of -51*a - 4*a**2 - w*a**5 + d*a wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h + 4 = 0. Suppose h*u = u. Suppose -5*y + u*y = -f - 10, 3*f - 21 = -2*y. Calculate the lowest common multiple of 8 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + 5 + (sqrt(125) - (0 + sqrt(125))) + (sqrt(125) - (3*sqrt(125)*-2)**2) + (sqrt(150)\/sqrt(45))\/((sqrt(48)\/sqrt(2))\/sqrt(4)).\nAnswer: -4495 + 31*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2585\/10372 + -2\/2593. Which is the closest to 6? (a) -0.5 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -117586 and 2750717?\nAnswer: 2868303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5a (base 11) to base 12\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 1 - (21 + -47 + 40 + -19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 82*t - 175*t + 417*t)*(3 - 2 - 3).\nAnswer: -320*t - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.27 + 0.23. Let w = 1.98 + -2. Which is the second smallest value? (a) -4 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651559 - -666723925?\nAnswer: 667375484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 5 (c) 5\/2421 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 348*f. Let w be y(-5). What is the common denominator of 93\/8 and w\/(-352) + (-4)\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a**2 - 7*a**2 + 12547 - 12544 to f*a + y*a**2 + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:52 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -1, -3 in descending order.\nAnswer: -1, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(204) + (-2*(sqrt(204) + sqrt(204)*-3 + sqrt(204)) - sqrt(204)))\/(-1*(sqrt(12)*3 + sqrt(12))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*t + 3. Suppose -15*c - b + 855 = -11*c, -2*c = b - 429. What is the smallest common multiple of t and c?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 - -199. What is the remainder when 78 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -58.784. Let k = 0.116 + m. Is 18 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1022, 2044, 3062, 4076, 5086, 6092?\nAnswer: 7094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/37 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) -11\/4 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -30*l**3 + l**2 + 2*l + 29. List the prime factors of v(-4).\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -h + 165. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3bbc3 + 2?\nAnswer: 3bbc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1423559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -2. Let m = -5 + w. Suppose -5*a + m - 45 = 0. Let i(r) = -r - 7. What is i(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16434 divided by -66?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9253576?\nAnswer: 2, 17, 68041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 10004a?\nAnswer: 100049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most -26535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 241*m**2 - 19*m + 194. Let x(o) = -81*o**2 + 6*o - 65. Let a(h) = 17*x(h) + 6*y(h). Is a(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18 - 12\/(1620\/79815). Is -592 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135409\/44880 + -512\/187. Let o = 10\/14097 + -136351\/112776. What is the common denominator of o and u?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 236337120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*y**2 - 19*y**2 + 76*y**2 - 66*y**3 + 116*y**2 - 18*y**2 wrt y?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*v + 3815 + 847 = -268*v + 133*v for v.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 42*y**2 + 34*y + 2892. Give x(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - u**2 + 4*u**2 + 1 + (0 + 0 + u)*(3*u - 3*u + u) - 3 + 3 + u**2 - 6*u**2 + 0*u**2 + 2*u**2 + 0*u**2 + 13*u**2 + 13*u**2.\nAnswer: 26*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m*m**(2\/11))\/m))*m\/(m*m\/(((m**(-5)\/m)\/m*m)\/m))*m**(-2\/9)\/m*m*m**(-3))\/((m**(-2\/7)\/m)**(-25))**(-49) assuming m is positive.\nAnswer: m**(154832\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1519 and -100?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -664169, -1328230, -1992295, -2656364?\n\"Answer: -2*t**2 - 664055*t - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 7a2?\nAnswer: 7a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, 3.\nAnswer: -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -124020 (base 6) in base 10?\nAnswer: -11244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 1a6?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -201, -221?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s = -36*s + 67340. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -2\/153, -0.1, -0.2, -0.5?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2980 a factor of 58976956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -154?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-112)\/(-60) + -2)*6. Put 1, -5, s in descending order.\nAnswer: 1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26148942 divided by -6894\nAnswer: -3793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + y**2 + y + 1. Let t be o(-1). Let m = 175 - 133. Let q be ((-324)\/m - -13) + 4\/(-14). Which is the nearest to -1? (a) -1\/8 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21140.32ml to litres.\nAnswer: 21.14032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -5, 53 in descending order.\nAnswer: 53, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 1907*x - 1906*x + b, 0 = 2*x + 3*b + 64 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 7. Let d(m) = -m + 8*m**2 - 12*m**2 + 12*m**2. Let p be d(1). Calculate f(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:51 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f - 27 = -8*f. Let j(q) = -11*q**3 - 11*q**2 - 4*q + 1. Is j(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7. Let c = h - 2. Find the common denominator of (1\/2)\/((-390)\/185 - c) and 59\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 22, -5.\nAnswer: -5, -3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-1))\/1 + 2. Let k(g) = 18*g + 1. Let n be k(t). What is the derivative of n - 2*a**2 - 12 - 3*a**2 wrt a?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19708840 rounded to the nearest 10000?\nAnswer: 19710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w**2 - 2*w - 40. Is b(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttw. Give prob of picking 2 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u + 6. Let i be 0\/(-2) + (-24)\/u. Solve 0 = -2*h - 2*n - i, h - 3*n = -0*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 14 = 22. Suppose -6*g + 5*g + 204 = 4*b, z*g = 3*b - 134. What is the remainder when 148 is divided by b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*p = 59*p - 126*p + 9656 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713992 a multiple of 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 3*i + 0*i + 0*i + 4*i - 6*i + (4*i + 0*i - 2*i)*(0 - 1 + 0) + 6*i - 3*i - 4*i - i - i + 3*i - 307 - 461 + 648 - 60*i.\nAnswer: -63*i - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + 1*(-6*sqrt(78)*1)\/((sqrt(66)*2 + sqrt(66) - sqrt(66))\/sqrt(11)) + 0)**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*p + 3*h, -2*p + 11 = 2*h - h. What is the second derivative of c + c + p*c**4 + c wrt c?\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**4 + 9*b**4 + 3*b + 2*b - b**4 wrt b?\nAnswer: 192*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*c**5 - 1637*c**3 - 5093675*c**2 wrt c.\nAnswer: -6540*c**2 - 9822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/16 of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -760, 13, 1, 6 in descending order.\nAnswer: 13, 6, 1, -5, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1244 - 1243.99999489. What is r rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, -1, -4 in decreasing order.\nAnswer: -1, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 18068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 501563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2)*3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**3 + 6*y**3 - y**3 + (-3*y + 4*y + y)*(-y**2 + y**2 - 2*y**2).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.06 rounded to one decimal place?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 51\/((-3978)\/(-52))*1\/((-11)\/3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 375*(3\/(-1) + 98\/21). Suppose -6*i + 11*i = m. Suppose -3*b = -i - 220. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(60\/(-9) - (5 - 11)). Sort h, 3, -2\/13, -9\/26 in descending order.\nAnswer: 3, h, -2\/13, -9\/26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33355 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6574, -52574, -177434, -420586, -821462?\nAnswer: -1419494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -16. Suppose -5*m + l = -5*n, 2*n - m = -6*m + 33. Suppose -3*b = -243 + 237. Solve -6 = b*j + n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-11) - 856026\/1782. Let q = 963\/2 + p. Calculate the common denominator of q and -85\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/544778 and -131\/87456.\nAnswer: 26149344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 39*c = 3*k - 12, 3*k = 3*c + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-10)*d*d)**(8\/13) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 8*z + 10. Let t be o(8). What is the greatest common factor of 15 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z**3 + 31*z**2 + 2. Let y be i(-3). Let x(u) be the first derivative of -y*u**2 + 0*u - 1 + 7\/3*u**3. Find the second derivative of x(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8875*c + 2 - 9020*c - 2.\nAnswer: -145*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1222*x + 471684. What is a(-386)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (33 + 0 + -6 - -14 - 13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i**2 + i**3 + 337*i - 2 - 5 - 336*i + i**3. Let d(t) = -t**3 - 4*t**2 - t + 3. Determine -7*d(v) - 3*s(v).\nAnswer: v**3 + v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-540)\/48*-2*232\/(-1450)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 499935744 divided by -41661312?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -6*n - 390. What is the remainder when n is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*l**2 + 0 - 3\/5*l**4 - 6\/5*l + 6\/5*l**3.\nAnswer: -3*l*(l - 2)*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 8. Let k(b) = 0 + h*b - 1 + 15*b. Let d be k(1). What is the highest common divisor of d and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/16 - 109\/(-4). Let t be -3 + (-2)\/(-4)*(o + 3). Factor -4*u + u - 11*u + 3*u**2 + t - u.\nAnswer: 3*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 3, 5, 7, 9, 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*(-5 + 1). Let d = -0.4 + -15.6. Let m = d - -17. Which is the third biggest value? (a) w (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 23*w**3 + 6*w**2 + 11. Let g(v) = 22*v**3 + 5*v**2 + 10. Calculate -6*g(q) + 5*k(q).\nAnswer: -17*q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-236)\/32)*93\/(4185\/5160)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662206326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24051840*y + 21570102?\nAnswer: 24051840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -3) + 53 + -4. Let z be 39\/g - 359\/484. Let t = 233\/1089 + z. Which is the biggest value? (a) -1\/3 (b) 0.03 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5730833815 - -80817\nAnswer: 5730914632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335764, -335763, -335762, -335761, -335760, -335759?\nAnswer: -335758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + 1893\nAnswer: 1892.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 7, v: 11}. What is prob of sequence ie?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.5 (b) 13 (c) 4 (d) -5\/6 (e) -1009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 5*j + 5. Let v be b(2). Suppose -19*g + 73 + v = 0. Solve 8 = -2*x, -5*a = -g*x - 43 + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -39.7. Let y = v - 0.3. Which is the third smallest value? (a) 2 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 12406*t\/3 - 38477209\/3.\nAnswer: -(t - 6203)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 1. Suppose 0 = 4*r - 12, 5*y = -r - r + 26. Let j be o(y). Let p = 0 - -3. Solve a - 4*m + 2 = -p, -m = 3*a + j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/11)*(y\/((y*y*y*y**(2\/31)*y)\/y)*y)\/y*y*y*(y**(-1\/2))**(-41)*((y\/(y**(-2)\/y))**(-1\/13))**(43\/3) assuming y is positive.\nAnswer: y**(431075\/26598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 52\/18 + (-2)\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -9.9. Which is the nearest to v? (a) -0.5 (b) -5\/3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 9 + 12)*(63 - 41*q - 63) + (-q - 3*q + 6*q)*(0 + 0 + 1) + 3*q - 4*q + 0*q.\nAnswer: -450*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 7*y**2 - 56*y + 389. Let m be d(8). Sort -356, -4, m in increasing order.\nAnswer: -356, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghi when three letters picked without replacement from {x: 1, h: 1, n: 2, i: 2, a: 1, g: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f + 274*f - 4755 = -90*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:19 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:50 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -19. Calculate the common denominator of 2\/48*(-954)\/(-12) and 90\/42*33\/u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84 - -75) + (3 - -8) - (2 - 22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5054a + 5?\nAnswer: 50552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 - -0.4619388876.\nAnswer: -67.5380611124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {j: 6, b: 1, n: 3, q: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.6739? (a) 0.2 (b) 0.0592 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66\/113 + 3912\/5537. Find the common denominator of y and 14308\/(-3087) - 5\/(-1).\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 12. Let y be p(-8). Suppose 0 = 4*l + 3*t - 412, 4*t - 12 = y. Suppose i = -4*i + l. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1824901*v**3 - 2519*v**2 - 10076*v + 2519. Let i(w) = -4345*w**3 + 6*w**2 + 24*w - 6. Calculate -2519*i(m) - 6*n(m).\nAnswer: -4351*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k + 11. Let i(r) = 3*r + 5. Give -13*i(d) + 6*t(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*p + 56*p**3 + 92*p - 140*p + 4*p**2.\nAnswer: 56*p**3 + 4*p**2 + 151*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -51 - 1. Let z = 14 + a. Let n be (z\/(-21))\/(6\/231). What is the greatest common factor of n and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/33 or -1?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3563, 3476, 3339, 3152, 2915, 2628, 2291?\nAnswer: 1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g. Let z(w) = -2*w + 2*w - 2*w. Determine z(v(l)).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2))*-5*4)**2.\nAnswer: 1600*sqrt(2) + 2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -5. Let a(q) = q**3 - 7*q**2 + 4*q - 5. Let c be a(p). What is the remainder when c*(-2 - (-2 - -2)) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-2)\/(0 - 6\/(-9)). Which is the biggest value? (a) 7 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 - 523 - 395 = 22*b - 1182 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243294 or 1703054\/7?\nAnswer: 1703054\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 20 = -4*d. Find the second derivative of -45*h**d + h + 14*h - 30*h wrt h.\nAnswer: -900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19833, -19483, -19133, -18783, -18433, -18083?\nAnswer: -17733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 20. What is the second smallest value in o, -1\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 905\/257 + -5296\/1285. Let p = -0.06 - -0.17. Which is the closest to p? (a) 3 (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 2*v + 3. Let g be u(-3). What are the prime factors of (-117)\/g*4\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 16 + 9*g - 373*g**2 - 380*g**2 + 1133*g**2 - 379*g**2. Determine b(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 5035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17244941 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-651 - 984 + 6794)*((0 - 2 + 4)*(0 - j + 0) - 2*j - 2*j + 3*j) in the form g + k*j and give k.\nAnswer: -15477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - ((6 - -1) + -4)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1290068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 586\/77 + -90\/11. What is the nearest to -1 in n, 0.2, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 485 + -940. Let l = -81 - k. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*s + 100, 17*p - 19*s = -3*s - 15*s + 43 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411 + 43*h + 411 + 40*h.\nAnswer: 83*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 18 + 32)*(5*a - a - 2*a + 2*a + a - 5*a + (-1 + 2 + 1)*(-7*a + 3*a + 2*a) + 1 - a - 1).\nAnswer: -135*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 164, 489, 1060, 1901, 3036, 4489, 6284, 8445?\n\"Answer: 4*b**3 + 99*b**2 + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -1022979001.\nAnswer: -1022979000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(((-1365)\/143)\/(-15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*m - 30. Calculate the lowest common multiple of m and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - 18*p**2 + 72 - 22 - 2*p**4 + 25*p**2 - 25 + p - 10*p**3 as a*p**2 + j*p + r*p**4 + f + i*p**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2)*-5 + -5.\nAnswer: -20*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2510870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -17*i + 42. Let r(l) = -72*l + 171. Calculate 26*n(h) - 6*r(h).\nAnswer: -10*h + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - h**3 - 1)*(1 + 0 - 4) + (-4*h**3 + 4*h**3 - 2*h**3)*(-5 + 3 + 3).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 1. Let l(i) = 1. Let f(m) = 4*l(m) - t(m). Let h(p) = 3*p - 5. Give -7*f(w) - 4*h(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.26 (c) -0.1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6084 and 4056?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.53102 - -0.03102. Which is the closest to 50? (a) 0 (b) -1\/3 (c) 3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h**2 - 4*h**2)*(-2*h**2 + 7*h**2 - 4*h**2) - h**4 - h**4 + 0*h**4 - 2*h**4 - 8*h + 10*h - 8*h.\nAnswer: -6*h**4 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 10:30 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714534089?\nAnswer: 17, 42031417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j**2 + 53. Let p(u) = -7*u**2 - 27. Let c = 44 + -50. Let a(q) = c*n(q) - 11*p(q). Differentiate a(r) wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23999)\/(-412) - (-26)\/(-8). Calculate the highest common divisor of 22 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/51300 and -28\/9092925?\nAnswer: 36371700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 86 = 2*l. Let f be 1 - (4 + l - -1). Solve 2*h + f*h - 5*v = 11, -2*h - 4*v - 16 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-2) + (-1594776)\/(-36))\/(11\/33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15936 - -15936. Factor q**3 + f*q + 0 + 0*q**2 - 4\/3*q**4 + 1\/3*q**5.\nAnswer: q**3*(q - 3)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from odutn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/564 and -99\/1316?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**6\/75 - 3*d**5\/50 + d**4\/30 + d**3\/5 - 2*d**2\/5 - 35*d - 1. Factor t(c).\nAnswer: 2*(c - 2)*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -764*x**4 - 2*x**3 - 23*x - 61621 wrt x?\nAnswer: -3056*x**3 - 6*x**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1.4, 0.2 in ascending order.\nAnswer: -5, 0.2, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46822*h - 1900 = -46827*h. Suppose 2 - 5 = -u. Suppose 5*b = 4*s + h, u*b - 4*s = -3*s + 228. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let v be d(1). Let o = 83 - 57. What is the common denominator of o and 2 + ((-46)\/22 - v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 8 + 83. Suppose 3*r + 0*p - 4*p = d, 4*r + 4*p - 112 = 0. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Let g(n) = n + 7. Let j be g(5). Find the second derivative of -j*u**b + 7*u**3 + 5*u + 9*u**3 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7632 and 142040?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89218007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 4*u + 3. Let j be o(-4). Let a = j + 0. What is the common denominator of 1\/a + 8\/(-4) and -50\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*n = 17, t - 3*n + 1 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 3*q**2 + 3*q - 2. Let c be z(2). What is the third derivative of -5*o**2 + c*o**2 + o**6 + 2*o**6 wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23114*s + 8634*s + 2689*s.\nAnswer: 34437*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.1512 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 11 = 2*j + 13, 2*j = 4*k + 8. Let s(r) = 7*r - 2 + 11 - 7 + r**2 - 2 - 1. Determine s(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight ninths of a week?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20365 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y + 420 = 0. Is 35 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59228, 118398, 177558, 236702, 295824, 354918, 413978?\nAnswer: 472998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g - 3*g = 2*g + 90. Let w(p) = -6*p**2 + 7*p - 5. Calculate w(g).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990542 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -41*i**2 - 174*i - 533. Let t be h(-3). What is the fourth biggest value in t, -0.2, 0, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 644?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3657.5 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 562684995 and 3105.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 432*y - 35. What is the thousands digit of w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 6*w**2 - 1. Suppose -4*r = -2*s + 30, s + 9 = -4*r - 4*s. Let g be z(r). Let a = 2 + -2.2. What is the nearest to -0.1 in -2\/7, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/8)\/(4\/16). Let o = 1424 + -1419. Suppose 4*c + 0*c = q*n - 213, -2*c + 381 = o*n. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-60))\/(3024\/(-64800))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380211 is divided by 153348?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25870.9 - -25871. Put -7571, z, 3\/5, 1\/8 in decreasing order.\nAnswer: 3\/5, 1\/8, z, -7571","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695755?\nAnswer: 5, 227, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.371949 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 15\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = q - 142, -4*q = -w + 5*w + 576. Let r = 48 - 147. Let v = r - w. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 4*h - 30. Let z be j(6). Calculate the greatest common divisor of 45 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1913 = 118*f - 634 - 285 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10705559 is divided by 144.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (16 - 10 - 13) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 87268 - -4?\nAnswer: 87273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*g**2 + 833*g**2 - 141*g**2.\nAnswer: 623*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1080\/315*91\/468. Factor 10 - s*l**3 - 14\/3*l - 14\/3*l**2.\nAnswer: -2*(l - 1)*(l + 3)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + -1 + (-2624 - -2593) + -26?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*n - 7. Let a = 1 + 20. Let x = a + -23. What is the second smallest value in x, 1, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -30. Suppose -k + 26 = -2*o, -k - 3*o + w = 2*o. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1900) + 1 + 0 + -1 + sqrt(1900))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 64553095*t**2 - 7*t**3 - 64553095*t**2.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 69, 198, 451, 870, 1497, 2374?\n\"Answer: 7*r**3 - r**2 + r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 28.33870641.\nAnswer: -28.13870641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*j + f, -4*j - 20 = -220*f + 216*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-300)\/20) - ((-6741)\/(-756) + 6\/8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a factor of 7632185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:17 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 6*l**2 - 25*l - 209. Calculate u(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -5, -7\/1045538?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -267.8*22\nAnswer: -5891.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-90))\/(4\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 616965 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 15*w - 136. Let x = -30 + w. What is the smallest common multiple of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dklizozk. What is prob of sequence zkk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 4\/(-8) + 11\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -48.000008. Round a to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7*d + 2. Let i be n(6). Suppose -16 = 5*g + w, 0 = -3*g - 3*w - 0*w - 12. Is i greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 6, x: 2, f: 2, p: 3, l: 1}. Give prob of sequence fl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7532 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11263031 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tottoayt. What is prob of picking 1 o and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1736 divide 28275968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**2 + 19. Let m(f) = -f + 1. Let s(t) = -t**2 + 3*t - 3. Let a(y) = 3*m(y) + s(y). Give a(d(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791\/1 - (3 + -6 - (-3 - -1)) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by 8\nAnswer: -195\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/824 and 63\/5356?\nAnswer: 10712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 81563299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1998, 1, 1\/7, 5, 35\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 768 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let y(n) = n**3 + n**2 + 2*n - 2. Let f = 1 - -17. Calculate the least common multiple of y(l) and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7202831 is divided by 272.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4 + 2*g**4 - 36*g**4 - 2*g + 5*g - 8*g**4 + 1973 wrt g.\nAnswer: -160*g**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 1)*(2*r + 6*r - 6*r) + 2*r - 6*r + 3*r + 0*r + 16*r + 2*r - 2.\nAnswer: 25*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 6*q + 6. Let i(n) = -n**2 - 5*n + 5. Let a(x) = 2*x**3 + x**2 + 6*x + 4. Let b be a(-1). What is b*d(h) + 4*i(h)?\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 3*u - 48, 421*z + 2*u = 417*z + 34 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + -183 + 108 - 74.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 4*k - 2. Let m be g(-4). Let p be m\/(-4)*-2*0. Let c(t) = 3*t + 0 - 5*t + p. Let w(y) = 3*y**2. Determine c(w(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/5)\/((-4)\/(-10)). Let p be ((-15 - 0)\/x)\/(-1). Suppose b = 5*n + 8, -1 + 0 = -2*b - p*n. Solve -1 = -b*c - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**3 - 118836106*g**2 + 118836106*g**2.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 9:05 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127803621422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Let k(p) = -4476*p**2 + 2984*p - 22380. Let y(x) = 2*x - 15. Let i(q) = k(q) - 1492*y(q). Determine n(i(d)).\nAnswer: -20034576*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 15*c + 1. Let v be b(13). Let a be 27\/6*6*2. Let q be -4 - -4 - a\/(-3). What is the highest common divisor of q and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + j - 77, -2*i = -5*j + 166. Let u = 73 + i. Suppose u = t - 1 - 11. What is the least common multiple of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1312)\/3)\/((-918)\/104 + 9). Suppose h + 2*h - 12640 = -5*k, -h = -k + 2528. Let b = k + p. Find the common denominator of 91\/30 and b.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4946.699*-0.1\nAnswer: 494.6699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 4*p**2 - 5*p + 3. Let f be i(5). Suppose -4*s + f = -21. Calculate the highest common divisor of s and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 99 = -20 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d695 (base 14) in base 6?\nAnswer: 1341015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 16. What is the second derivative of -3*l**m + 2*l**2 - 2*l**2 + 2*l wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b + 12*b - 41*b + 695*b**3 + 73*b - 3.\nAnswer: 695*b**3 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/7)\/i*i**12\/i assuming i is positive.\nAnswer: i**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moooffamooacc. Give prob of picking 1 a and 1 c.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/((-18)\/(-57))*-1. Suppose 4*n - m = 4*m - 156, 5*m + 20 = 0. Let q = v - n. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3401 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 28, -5, -2 in decreasing order.\nAnswer: 28, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3191573.9826+3\nAnswer: 3191576.9826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1727*i**5*j - 7767*i**4*j - 254*i*j - 129839*i wrt i?\nAnswer: -34540*i**3*j - 93204*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18928c (base 13) in base 12?\nAnswer: -25a974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309890225 to the nearest integer?\nAnswer: 17604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 295 = -5*r, -78*z + 45*z - 6593 = -38*z - 118*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cctk when four letters picked without replacement from kctcctckkkc.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 4*t**2 + 10*t + 10. Suppose 36 = 22*g - 16*g. Let o be h(g). Let u = 13\/45 + 2\/45. What is the closest to -1\/4 in o, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 - (-488)\/72. Suppose 2*c + 44 = 3*s, h*s - 40 = 2*s - 5*c. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15 - 9*z**2 - 13*z - 3 - z**3 - 3*z**2. Let o be f(-11). Suppose 9*i - 530 = o*i. What are the prime factors of i?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 6 - 27*x + 5\/2*x**2. Let l be c(6). Solve 2*b + 8 = l*i, 2*b + 2*i - 4 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 15*s**3 + 15*s**2 - 55*s + 30.\nAnswer: -5*(s - 3)*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 163*a**3 + 1669*a**3 + a**2 - 92*a**3 - 7*a**2 to r + i*a**3 + b*a + l*a**2 and give i.\nAnswer: 1414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*v + 103 + 162 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -222.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 i, and 1 c when four letters picked without replacement from iicieic.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - 3*q + 3*q + (4*q + 2*q**3 - 4*q)*(0*q + 0*q - q**2) + 3 - 5 + q**5 + 0*q**5 - 515*q**2 - q + q**5 + 515*q**2 + 137.\nAnswer: 4*q**5 - q + 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-209)\/(-76) - (5\/4)\/(-5). Let m(y) = y**2 - 9*y + 6. Let c be m(l). Let q be (-14)\/(-6) - (32\/c - -2). Solve -q*r - 3*d - 6 = d, 10 = -5*r + d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(243)*-3)\/sqrt(9))\/((sqrt(9)*2 - sqrt(9))*-6)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(3\/5)*f)**(-1\/23)\/(f**(-32))**0 assuming f is positive.\nAnswer: f**(-13\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 6*v**2 - v**3 + 1 + 1 + 10*v. Let i be y(7). Let l be (-1)\/(-4) - (-38)\/8. Solve -l*h - i = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1507*l + 1461*l = 1116 + 816 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/8, 8.59, -1\/9, -55?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.64452 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -460989729843 - -460989728368.999999043. Let t = l - -1474. Round t to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 717 = -5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 - -1.74. Let f = -0.06 - j. What is the third smallest value in f, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.144, 2, 0.0463 in decreasing order.\nAnswer: 15.144, 2, 0.0463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1194)\/23084)\/(105\/20)?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3202, -6394, -9586, -12778, -15970?\nAnswer: -19162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7943286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3953412 to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Let c = -2 - -2. Suppose 0 = -3*v + 2*p + 1 + 13, 5*p + 5 = c. Solve 0 = -v*x + 7 - n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2028 - -1.\nAnswer: -2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u. Let m(b) = -2*b**3 - 52*b**2 - 94*b + 38. Let z be m(-24). Let d(l) = 19*l. What is z*w(x) + 4*d(x)?\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/120 - o**5\/12 - o**4\/6 + o**3\/2 + 4*o**2. Let d be f(-4). What is the third biggest value in -2\/9, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8798 + 7043 + 2*y + 9277 + 4727.\nAnswer: 2*y + 29845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 21 - 69 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 682 - 1348. Let h = 1183 + w. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100492 by -194.\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = 381*q - 367*q. Let v be ((-7)\/(-21))\/(2\/(-30)). Put q, 2, v in ascending order.\nAnswer: q, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2614 by 1.\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 8*d + 50. Is (-1103)\/(-5) + 10\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*p + 7. Suppose 3*n = d - 127, 3*d - p*n = 2*d + 131. Suppose -q + 16 - 129 = -3*s, 3*s = -q + d. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 times -4862\nAnswer: 427856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*p + 8, 0 = -42*p + 41*p - q + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 2*r, 7*s = -4*r + 12*s - 7. Calculate the remainder when r is divided by 6\/8 + (-2)\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6661746 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 126*n**2 + 262*n - 140. Calculate x(65).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h - 390. Give a(35).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**6\/60 + t**5\/15 - t**4\/12 + 11*t**3\/6 - t**2 + 4*t - 97. Let z(b) = -b**2 + b. Give x(v) + 4*z(v).\nAnswer: 2*v**3 + 2*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*j**3 + 0*j**2 - 5*j**2 + 7*j**2)*(1 - 1 - 2*j) as f*j**2 + h*j**3 + d*j + z*j**4 + m and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*t = -52, 5*n - 4920 = -4*t - 4937 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-63)\/6)\/((-2)\/(-20)). Let g = q - -207. Suppose -38 = -4*r + g. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/((-2)\/(-18)). Suppose -6*q + 17 + 19 = 12*q. Suppose 20 = -5*f, -q*f + 1172 = n*p + p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -43, 7, 30 in increasing order.\nAnswer: -43, -15, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49404 hours in nanoseconds?\nAnswer: 1778544000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-10*j**2 - 6*j**2 + 3*j**3 + 17*j**2).\nAnswer: -6*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.51588 tonnes to nanograms.\nAnswer: 24515880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -ae?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -1366 and -0.448.\nAnswer: -1366.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyxxxyxxxxxypqpcqxx. What is prob of sequence qpcq?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 179, 182, 185, 188?\n\"Answer: 3*m + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - k - 3*k**2 + 2*k + 2.\nAnswer: -3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1400.9 times 1.37\nAnswer: 1919.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 8*l - 7*l = 0. Which is the third smallest value? (a) l (b) 1\/2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + ((1*sqrt(76) - sqrt(76))**2 - sqrt(76)) + 1 - 4*(sqrt(76) + -1 + 1)**2).\nAnswer: 8*sqrt(19) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 22*t**2 + 748*t - 373*t - 374*t + 3*t**2 - 6*t + 6*t + (t + 2*t - 5*t)*(2 - 2 - t).\nAnswer: 27*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucquqququuuuqquu. Give prob of picking 4 q.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppop when four letters picked without replacement from {j: 1, k: 1, o: 4, u: 1, p: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24115496.\nAnswer: 2, 61, 49417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let q(d) = -a - 3*d + 1. Let i(x) be the second derivative of -x**4\/12 - 4*x. Give q(i(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 2, 239.\nAnswer: -5, -2, 2, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 11*c**2 + 7*c + 4. Determine z(-10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1292 by 34.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4546304 (base 7) to base 15\nAnswer: b2c7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9 + 3*w**2 - 501*w + 501*w wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/2 + 25*t**2 + 29482*t + 58860 = 0 for t.\nAnswer: -218, -2, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 46. Let b be (-4 - -2)*(-6 - -4) - -633. Let m = b - f. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*h + 95 = 685, 4*y + 2*h = 768. Is y + -1 - (1 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 68\/(-18) + 4\/(-18). Let q = h - -2. Sort q, 0, 5.\nAnswer: q, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -2*h**2 + 1\/210*h**7 + 0*h**6 + 1\/2*h**3 + 0*h**4 + 0*h**5 + 0 + 0*h. What is the derivative of b(d) wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**3 + 16*h**2 - 16. Suppose -n + 2 = z - 4, 0 = -5*z - 3*n + 24. Let q(p) = 7 + 1 - 4*p**2 - z - p**2 - 2*p**3. Give -16*q(a) - 5*x(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 6*l + 6. Suppose 3*h + 3 = -6. Let m be r(h). Suppose -4 = -8*t + m*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/5, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-4)\/8 + -93. Let r be 6*3\/p*2. Is 1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = r + 4, -3*x + 0*r + 19 = 2*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2622 - 2748.9. Let i = -127 - u. Let c = -3 + 6. What is the second biggest value in c, i, -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/4*12\/3. Suppose 0*u + j*u = 3, -3*u = -q + 2. Suppose -5*c = -31 + 6. Solve c*h + 8 = -q*l + l, 2*h + 10 = -5*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 322 - 319. Solve 0 = 2*z - 5*z + k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 9. Let r(x) = -x - 3. Let t be r(6). Let b be d(t). Let q be 525\/(-91) + 30\/(10 + -5). Is q smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5031, 40152, 135467, 321072, 627063, 1083536, 1720587?\n\"Answer: 5016*w**3 + w**2 + 6*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -655675551 + 4?\nAnswer: -655675545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-77)*1254\/836.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*u**2 - 30 + 138*u**2 + 21 - 2*u - 2*u**4 - 7*u**3 + 9*u**3 as q*u + g + z*u**2 + o*u**3 + a*u**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5300, 10600, 15900, 21200?\n\"Answer: 5300*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 = 27*z + 121 + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = -3*x + 45, -4*n = -3*x - 63. Suppose 0 = -q + 3*q - a - 13, 4*a + n = -2*q. What is the second derivative of -q*u + 4*u + u**2 + 13*u wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 19. Suppose 4*l - 26 = -3*b, 0 = 4*b - 0*l - 4*l - 72. What is the remainder when b is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptqt when four letters picked without replacement from ttppttpqtqtttpppt?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 + 3. Let i be 1 + 4 + (-30)\/9. What is the smallest value in -3, i, -1, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.053 and 136507.2.\nAnswer: -7234.8816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.4. Let y = -0.3 + u. Let r be 2\/6 + (-3)\/(-9). Which is the closest to 2\/5? (a) y (b) r (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2407 + 65.2407. What is the second biggest value in d, 0.5, -2, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b49 (base 12) in base 4?\nAnswer: -10030221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 24*g**2 + g. Let a(t) be the first derivative of t**2\/2 - 113. Give a(p(z)).\nAnswer: 24*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2362966 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 15*u - 414. Let c be g(29). Let i = 13 + -18. What is the third smallest value in -2, -0.2, i, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aif when three letters picked without replacement from {f: 1, i: 5, a: 6, h: 4}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20667 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 315*b**2 + 294*b**2 - 3*b + 3*b - 624*b**2. Let o(v) = -58*v**2. Calculate i(o(n)).\nAnswer: -50460*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -65.8 times -21677\nAnswer: 1426346.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37c00c + -4a?\nAnswer: -37c057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -74433606 divided by 39\nAnswer: -1908554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*z**6 - 47*z**3 - 183*z**2 - 3*z + 3 wrt z?\nAnswer: 2400*z**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 223104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606 divided by 101.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.16, -8\/5, 1\/3, 0.3, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4148518 is divided by 93.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.8966 and 0.4.\nAnswer: -6.75864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-653913)\/(-135) - (-1)\/5. Suppose -d = -9*z + 4*z + 3*t, 3*z - t - 2904 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 4:50 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-36)\/784) + 1 + -4. Find the common denominator of k\/101 - 27\/18 and -23\/16.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2903*n + 2902*n - r - 13 = 0, -3*n = 9*r + 147 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3006176 and 197728.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*r = -122*r + 34*r + 36*r - 7175 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/56)\/((-4)\/128)*35\/(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -297, -332, -375, -426, -485, -552?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/35 (b) 1 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3948010.\nAnswer: 2, 5, 11, 19, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11749262.19 less than 1532.65?\nAnswer: -11747729.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3 - 14372*v**2 + 314732*v - 1728364 = 0. What is v?\nAnswer: 11, 3571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 113, 259, 465?\n\"Answer: 30*l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (279\/(-21))\/((-240)\/(-560)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 3197 and 3196 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9) + (-17)\/(-3). Suppose 2*g = g + s. Suppose -2*b - 5*z = -z - 36, 0 = 2*b + 3*z - 32. Calculate the lowest common multiple of g and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12621808 + 12621756.96007. Let w = m + 0.03943. Let u = 51 + w. Round u to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64050 divided by 6.\nAnswer: 10675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263887260?\nAnswer: 2, 3, 5, 7, 13, 17, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -3\/10, 3, 1.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.112 - -0.069. Let h = c - 0.417. Let y = 0.06 + h. What is the biggest value in 4\/7, 0.4, y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = 10. Differentiate 6 + x**g - 6*x**2 + 2*x**2 wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 18, p: 1}. Give prob of sequence zzp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -24*x - 48. Let b be q(-4). Let t = -23 + 35. Calculate the highest common factor of t and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 d when four letters picked without replacement from {d: 3, h: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 213849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) + -5*3*sqrt(220) + sqrt(220) + sqrt(220) + sqrt(220))*-3)\/((sqrt(99) - 1*sqrt(99) - sqrt(99))*-4 + sqrt(99)) + -1)**2.\nAnswer: -44*sqrt(5)\/5 + 489\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 121. List the prime factors of ((-26)\/a)\/(4\/(-834)).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 28 = 3*g, -4*u = 5*g - 2*u + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.44 times -3\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0 + 28*h**2 - 1\/6*h**3 + 0*h - 1\/8*h**4. Determine p(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12\/19 + -2\/57. Let y = 32\/9 + -137\/36. Which is the nearest to 0? (a) -0.3 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3 and -46\/20695.\nAnswer: 62085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -61.8?\nAnswer: 61.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 13*d**5\/60 + d**4\/4 + d**2. What is the second derivative of c(r) wrt r?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -0.170923, 2\/19, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 79 - 258?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 5, z: 6}. What is prob of picking 1 p and 3 z?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146692175?\nAnswer: 5, 7, 821, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + r**2 - 15. Let h be d(0). Suppose -5*x + 210 = 3*l, 5*x + 5*l - 114 - 86 = 0. Suppose 0*u + x = -3*u. Are h and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 17*a**2 - 14*a - 12. What is the smallest common multiple of (6\/(-4))\/((-15)\/140) and n(16)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3422120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 1 = 29*m. Let h be (-4 + -1)*1*1*m. Let d = -3 + 6. Solve v - 1 = -h*s, 2*v - d*s = -v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5543253 is divided by 19587.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/616 and 123\/32032?\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50910 and 2628653.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135 by -45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -7 + 0\/(-2). Let m(f) = -f**2 + 8*f - 6. Let i be m(8). Is i < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2256419cm?\nAnswer: 2256419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 399620 and 143?\nAnswer: 4395820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:32 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -115 - 65. Is h < -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*i**5*r**2 + 2377*i**5 + 5*i**2 - 429*i*r**2 wrt i?\nAnswer: 2940*i**2*r**2 + 142620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 + 630. List the prime factors of f.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -185.9 to the nearest integer.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 9*l - 14. What are the prime factors of m(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14282169*z = 14282172*z - 3*g - 84, 120 = -5*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Differentiate -6 - 2*g**3 - 2 + w + 0*g**3 with respect to g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v - 12*v = 56. Solve 5 - 1 = -v*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 586 + -440. Suppose 4*q + 3*d = 1759, -p = -q - d + 295. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 37*c**3 + 5*c**2 - 5*c. Let y(m) = 315*m**3 + 42*m**2 - 42*m. Calculate -42*s(f) + 5*y(f).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494, -505, -522, -545, -574, -609, -650?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*(-1 + sqrt(125)) + (1 + sqrt(125) + -4 - sqrt(125)))**2 - ((-2 + sqrt(125) + -2)**2 + 1))*3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(567))\/(sqrt(9) - (-1*sqrt(81) - sqrt(81))\/sqrt(9)) - -4*(sqrt(448) + sqrt(448)*-1 + -2))**2.\nAnswer: 32*sqrt(7) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 - 10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29618522 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 60975*p. Let d(b) = -21*b**2. Determine d(c(z)).\nAnswer: -78076963125*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105103925 to the nearest integer?\nAnswer: 10252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 2*j. Let m(v) be the first derivative of 4 - 12*v - 16 + 3*v**j - 3*v**3 - v**4. What is the derivative of m(f) wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:42 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 + (14 - (-130)\/20). Solve -38*a = -l*a + 102 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/(-41))\/(((-9)\/(-3))\/6*41).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-7)\/v)\/((v*v**2)\/v))\/((v*v**(-2)*v)\/v**(-3\/5)))\/((v**0)**39)**43 assuming v is positive.\nAnswer: v**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 2, 8, -25, -4, 943.\nAnswer: -25, -5, -4, 1, 2, 8, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 56*c**2 - 82*c + 74. What is the tens digit of y(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-9)\/(-48)*(-264)\/(-66))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.635 + 0.105. Round b to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -102. Let z = -33 - f. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -5*w - 36. Let a be -1 + w\/(-2) + 372\/(-24). Is -15 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phjoihh. Give prob of sequence oih.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-58 + 22)*14\/(-21) and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -157 + 157 + 75*l. Let w(o) = -2*o. What is w(i(u))?\nAnswer: -150*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8336634?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.14, 2\/5 in descending order.\nAnswer: 2\/5, -0.14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 1. Let w(l) = -l + 2. Let d(h) = 6*t(h) + 5*w(h). Let u(o) = -o**2 - 6*o - 1. Let r be u(-4). Suppose -r*n - 3 = 32. Give d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 3:16 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -96006\/59 not equal to -1627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10692 and 14995530.\nAnswer: 29991060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-4))\/((-14)\/(-2632)). Let o = -399\/2 + v. Find the common denominator of o and 2*1*81\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q + 76. What is n(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i - 11. Let q(v) = 1704*v**2 + 32*v. Determine y(q(l)).\nAnswer: -8520*l**2 - 160*l - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 - (12\/3 + -850)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13614337 (base 9) in base 3?\nAnswer: 110200111101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + s - 499 = 6*j, 4*j + s - 1984 = 0. Calculate the greatest common factor of 385 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 136\/24 + (-2)\/3. Let r = -0.4 + -0.1. Let m = 10 + -12. Which is the third smallest value? (a) r (b) m (c) p (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.673 litres to millilitres.\nAnswer: 64673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(99) - sqrt(99)) + sqrt(99) - sqrt(99))\/sqrt(9) + sqrt(11) - 2*(sqrt(11) + 3)**2 - (5 + sqrt(22)\/(sqrt(2) - sqrt(150)\/sqrt(3))).\nAnswer: -63*sqrt(11)\/4 - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8752795 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35\/3 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -149, -220, -289, -356, -421?\n\"Answer: y**2 - 76*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*o - 5*q, -3*o + q - 2*q = -10. Let p be (-2 + 928\/460)*o. Let m(k) = k**2 - 22*k + 40. Let v be m(2). Are v and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 8. Let s be v(4). What is the units digit of 12\/(-10)*(s + -129)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 177414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.7 + -4?\nAnswer: -79.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/10)*i*(i\/((i\/i**(4\/13))\/i))\/i)**(-43) assuming i is positive.\nAnswer: i**(-6751\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + 4\/6)*(-17 + 53).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + k = -0 - 4, 3*k = -3*z + 15. Suppose 0*c + z*y - 27 = -5*c, -2*c + 3*y + 15 = 0. Let o = -2 + c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54484.7464 - -0.037\nAnswer: -54484.7094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5165 = 39*v - 7583 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106244 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/4 of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*h + 96 = 641*h - 4*q, 64 = h - 4*q + q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 take away 494?\nAnswer: -494.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f**4 - 1017*f**3 + 10101*f**2 - 13383*f + 4293 = 0 for f.\nAnswer: 1\/2, 1, 9, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -9.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2 - 1582370*g + 7911975 = 0. Calculate g.\nAnswer: -316479, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2. Let m(j) = 3*j + 12. Let g(f) = 2*m(f) + 10*o(f). Is g(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 14. Let l = s - -13. What is the units digit of 2 + (-16 + 2)\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + k = 3, -6*a = -8*a + 5*k - 18. Let q(y) = -15*y**3 + y**2 + y - 1. Let c(s) = -s**3 - s**2 - s + 1. Determine a*q(p) + c(p).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*1*30090\/7965*9\/(-3)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1322*w**3 + 325*w**3 - 1558*w**3 - 288*w**3.\nAnswer: -2843*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.143 - 76. What is u rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 488*g**3*s**6 + 14*g**3*s**4 - 152*g**3*s**2 + 2*g**2 - 15*g*s**2 wrt s.\nAnswer: 58560*g**3*s**3 + 336*g**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1825 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q**3 - q**2 - q. Let d be t(-1). Let k be 2 - (1 - (-1 - d)). Let i be (8\/(-20))\/((-2)\/k). Solve h - 3 = -i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (-28 - 52) + -11.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/(-660))\/((-45)\/1815).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 39*g**2 + 76*g - 23. Let u be r(37). Suppose u - 60 = 3*p. Let d(k) = 3*k + 6. Calculate d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*k**2 + 16*k**2 + 18*k**2)*(1 - 4 - 10 + (-2 - 1 + 6)*(0 + 2 + 0)) in the form t + y*k**2 + j*k and give y.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/37019 and -7\/411?\nAnswer: 15214809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2 + 44*h - 42 = 0 for h.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/35 - (-2)\/(-7). Suppose -4 = 3*l - 2*l. Let x = 5 + l. Which is bigger: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-2 - (2 - 3))) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -7*z**4\/12 - 7*z**3\/3 - 38*z**2. Let a be h(-1). Put -2\/7, a, 2 in decreasing order.\nAnswer: 2, a, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = g + 4*g - 32, 4*g - m = 20. Suppose 3*a + 5*h = -2*a + 25, -g*a + 14 = 2*h. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**3 - u**2 - 15*u. Let c be l(-3). Determine a, given that 15466*a**2 - 15467*a**2 - 10*a - 14*a - c = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99)*1*1 + sqrt(99)))\/(-1*2*sqrt(144)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -182052189 rounded to the nearest ten thousand?\nAnswer: -182050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 818700 to the nearest 10000.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 87, 131, 175, 219?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 6*h + 3. Let c(p) = p**3 - 2*p**2 - 8*p - 4. Let v be c(4). Determine f(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - f - 3*f - 2 + 2 + 3*f - 2*f - 3*f + (f + 2*f - 4*f)*(-1 + 0 + 3) - 4*f + 4*f - 2*f + (f - f + f)*(2 - 2 - 1).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -74 + 0 + 2 - -2. Let s = -4708\/7 - -23722\/35. What is the common denominator of s and c\/(-24)*(-4 - -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06917 + -0.08083. Sort -2\/7, -3, t, -9\/4 in descending order.\nAnswer: t, -2\/7, -9\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771, 1146, 1517, 1884, 2247?\nAnswer: 2606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-241256)\/(-159) - (8\/(-6))\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)*c*c)\/c**(-2\/29))\/(c**(-7)*c*c**(-8)*c)*(c\/(c\/(c*c\/(c*c**(2\/3)))))**(1\/5)*(c*c\/(c*c**(3\/5)))\/c*c*c*c*c**1 assuming c is positive.\nAnswer: c**(6758\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 9. Let z = -0.16 - -0.26. Let y = z + 0.9. What is the second biggest value in y, a, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxywymmwyxxmty. Give prob of sequence mxyx.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a + 6. Let z(v) = -1. Give -m(b) - 6*z(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -19060085\nAnswer: -3812017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**3 - 18*x**2 - 12*x + 30. Let n be j(4). Solve -249*m = -242*m + n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 2, y: 9, b: 1}. Give prob of sequence zbl.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -16*j**2. Let l(b) be the second derivative of 2*b**3\/3 - 20*b. Calculate l(r(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*u + 84270264 = 27540267, 283649999 = -5*h - u. What is h rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1110 = 2*o - 2*z, -6*z + 3*z = -4*o + 2222. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/25 (c) 3 (d) 60 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*m - 16, -26 = -2*g - m - 3*m. What is the lowest common multiple of 5 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*a - 1, 3*a + 7*p - 2*p = 1. Suppose a*h = -0*h + 246. Let k = -1957 - -1988. What is the remainder when h is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/5, -1\/2, -35, 1\/10, -92?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8700 and 140?\nAnswer: 60900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.19 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - sqrt(704)*-3*-2)**2*-2 - ((sqrt(1331) + -1)**2 + (sqrt(33)\/(sqrt(3) + sqrt(27)))**2)*-2.\nAnswer: -260277\/8 - 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9371 + 421631\/45. Let v = t - -4\/45. What is the third biggest value in 3, v, 1\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -25. Suppose -2*a + 0*l - 2*l = -4, w*a - 2*l = -4. Solve 3*u - 12 + a = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (4 + 0 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704684 is divided by 636?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 1 + -11 + 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/22 and ((-51)\/(-14))\/(8\/28).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*x, 12*r + 7*x = 10*x + 21702. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 times -1\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/28*126\/4. Let r = j + -173\/56. Let y(p) = 17*p + 356. Let d be y(-21). Is r not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20*(-7584)\/(-1920))\/(-1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 2488482?\nAnswer: 2488479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 20*j**2 - 21*j + 3. Let k be c(21). Suppose 0 = 4*o + 2*i - 16, 2*o + k*o - 33 = 4*i. Calculate the highest common divisor of 4 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -3, 7, 381, 3, 1 in descending order.\nAnswer: 381, 7, 3, 1, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 96d?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2996 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.71 + -73.41. Let u = m - -70. Which is the closest to -1? (a) -4 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-2 + 3 + 0). Suppose u = -p*f + 2, 5*f = 3*u + f - 6. Let o(b) = -u - 2*b - 2 + 4. Let w(r) = 1. Determine o(g) + 3*w(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a - 85. Let u be b(7). Let k be (24\/4 - 4)\/(-1*1). Sort k, 6, 2, u in descending order.\nAnswer: 6, 2, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**(-2\/13)*h*h)\/h)\/h**(-5\/3))**19)**(-16\/3))**(1\/18) assuming h is positive.\nAnswer: h**(-14896\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7911 + 41465. Is 63 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.93 - -16. Let i = 2.93 + o. Let x = -4\/73 + 312\/365. What is the nearest to -1\/3 in x, i, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658 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: Express (-1 + 2*y + 1)*(3 + 3*y**3 - 3) + (0 + 11 - 3)*(-2*y**4 + 4*y**4 + 0*y**4) in the form r*y + s*y**2 + d*y**3 + f*y**4 + u and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 606 - 974.5. Let d = -368 - p. Which is the second smallest value? (a) d (b) -3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 29*t**6\/6 + t**4\/2 + 295*t**2 - 432. Find the second derivative of k(g) wrt g.\nAnswer: 580*g**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37 + 30 - 227\/(-30) and ((-91)\/126)\/(36\/15 - 2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-5 + 4) - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-45))\/(2\/(-6)). Let i = 1\/51 + 148\/255. Let c = 0.4 - 0.5. What is the closest to 1 in i, j, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 7:34 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10 = -2*i, i + 4*a - 2 = 8. Solve i*s + 5*x = 10, -2*x - 5 = 2*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -29 - (-1 + -6)) + 8 + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27650, 27626, 27588, 27536, 27470?\nAnswer: 27390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*g**3 + 57*g**2 - 57*g**2 to t*g**2 + s*g**3 + w + c*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -415773 and -2346.\nAnswer: -418119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -14 + -8 + 20 + -23.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 - 2*a + 2*a - 3*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4572652 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: Sort 4, 1483, 1, -2, 13.\nAnswer: -2, 1, 4, 13, 1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 1 + w**3 + 3*w**2 + 0*w**2 - 2*w**2 as n + u*w**3 + m*w**2 + z*w and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 34\/9*o**2 - 8\/3 - 10\/9*o**4 - 38\/9*o**3 + 32\/9*o + 2\/3*o**5 = 0.\nAnswer: -2, -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209175635.\nAnswer: 5, 401, 104327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 752 less than or equal to 11276\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 15 + 9)*(-6*g - g + 6*g) + (2*g - 2*g - 3*g)*(251 + 241 - 366) to k*g + b and give k.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -9 + 6 - ((9 - -1) + -181 + 191).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -0.003\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-27))\/(6\/9)*(-6)\/(-20)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 74. Suppose 0 = -0*g + i*g - 9894. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1540 and 200.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/12 + (-190)\/(-8). Let j be i\/4*(-2)\/(-6). Suppose -4 = -u + 2*h, -4*u = j*h - 3*h - 51. Solve -4*g = -u - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 159*h**2 - 629*h - 1169. Determine f(-155).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 3)*57\/(-9)*3. Calculate the lowest common multiple of 32 and w\/76 + -2 + (-33)\/(-4).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1140 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 792974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*d - 4, 3 = -3*w - 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 2*p**2 - 4. Let a be w(-2). Let v be -7*a\/21*9. Suppose -15 = -3*l + 3*t, l - 5*l = 4*t - v. Solve l = g - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 + 83.1. Let x = b - -4.9. Let q = -0.03 + -0.37. What is the smallest value in -15, q, x?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615623*d**2 - 2 - 307800*d**2 - 307826*d**2 + 2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 6. What is l(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -10*c + 228. Let g be o(20). Suppose 32*s - g = 39*s. Sort 151, 4, 3, s in ascending order.\nAnswer: s, 3, 4, 151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.857403 decades in millennia?\nAnswer: 0.01857403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(1980)\/sqrt(11)))**2 + -5.\nAnswer: -161\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1)\/w)\/w)**26\/(w**(-3))**(-2\/23))**(-10\/7) assuming w is positive.\nAnswer: w**(18000\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 4*i + 36. Let y(t) be the third derivative of t**5\/20 + t**4\/12 + t**3\/3 + t**2. Let o(g) = -7*g**2 - 4*g - 4. Calculate i*o(h) + 5*y(h).\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1543140\/(-32))\/(-5) + 159\/424 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.46 less than -71043675025?\nAnswer: -71043675027.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 9*j**2 - 19*j + 1. Let i be d(-6). Calculate the remainder when 6 is divided by (4 - 2)\/(i\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-2*g**2 + 4*g**2 + 0*g**2) + 6046 + 307*g**2 - 6046.\nAnswer: 305*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*r + 19668 + 136509. Is r a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-16))\/((-86)\/((-145512)\/94))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127727644 is divided by 4597?\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -397.0697 + 0.0697. Let p = f - -401.82. Let r = 0.18 + p. Which is the closest to 1? (a) r (b) -2\/77 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(32) - (sqrt(72)*-5 - sqrt(2)).\nAnswer: -3 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (0 + 8) - (-4 + -5 - 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 - 184715720*j = 0. What is j?\nAnswer: 0, 36943144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l**(-2\/5))**(2\/31)*(l\/(l\/l**1)*l**(-1\/5))\/(l*l**5*l*l**(2\/5)) assuming l is positive.\nAnswer: l**(-1019\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 = 12, 5*n - 30 = -l. What is the derivative of -l + 11 - 6 + 3*c**2 wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 11*a = 0. Suppose -5*o = 2*q - 88, -14 = -a*o - o - 4*q. Solve 0*n = 2*n + 5*k - 9, k = 5*n + o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081031 at least as big as 3081030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*f - l, 4*f - 4*l = 3 + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 576747607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 44.58\nAnswer: 22.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80188 is divided by 40036.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**4 - 745*g**3 - 31275*g**2 - 335195*g - 1057420 = 0.\nAnswer: -83, -52, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92400, 92434, 92466, 92496, 92524?\n\"Answer: -d**2 + 37*d + 92364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-2)\/(-1) - 176\/11. Let m(t) = -t**3 - 17*t**2 - 4*t - 1. Let i(c) = 3*c - 4. What is the remainder when m(s) is divided by i(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118547 + -249547. Round y to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2156)\/70)\/(-11))\/(3\/((-90)\/(-4)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.151716195 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5304112 to the power of 1\/2, to the nearest integer?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12194\/3283)\/(2\/(-7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134064 and 147?\nAnswer: 134064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q = -37*q + 348. Let j = -78 + q. Let p(i) = 7*i + 9. List the prime factors of p(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20513633 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22273 - 22284. Put t, -4, -5 in ascending order.\nAnswer: t, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 14696*n**3 + 18007488*n**2 + 7371025920*n + 14670139392.\nAnswer: 4*(n + 2)*(n + 1224)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*g - 17, -w = -3*g - 15 + 8. Suppose -f + w = 2*h, -3*h + 60*f = 63*f. Suppose -h + 45\/2*q**3 - 39*q**2 + 22*q = 0. What is q?\nAnswer: 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1330322 by -167.\nAnswer: 7966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 2*z**4 - 4*z)*(2*z + 3*z - z) + (1 + 2 + 2*z**4 - z**4)*(-3 + z + 3).\nAnswer: 9*z**5 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = 4*r + 4*t - 4*t + 2*t + 216, -4*t + 12 = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/(-22))\/(-1) + -2 + 4. Let 2\/11*n - 2\/11*n**2 - 2\/11*n**3 + a = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1341685 + 1879.\nAnswer: 1343564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39971119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 32 = 4*p - 3*q, -5*q = p + 17. Solve p*g - 14 = -l, 3*l = -1 - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ab33483 - -3?\nAnswer: -ab33480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23223 = -185*c - 8053 for c.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - z - 11*z**2 + 11*z**2 + 76*z**3 + 5*z - 3*z to the form d*z + r + h*z**3 + u*z**2 and give h.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -21817 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + n + 1. Let o be j(0). Let c be ((-2)\/(-4))\/(o\/10). Suppose -z - f = -c, 3*z + 4*f = -6 + 21. What is the remainder when 8 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 2, -0.17, -1, -18 in increasing order.\nAnswer: -18, -1, -0.17, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5711 + -5699. Solve -2*h = 4*h - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6936300 to the nearest 10000.\nAnswer: -6940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 859, 1286, 1713, 2140?\nAnswer: 2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*z**2 + 2*z + 197*z**2 + 2*z**3 - z + 5*z + 5*z.\nAnswer: 2*z**3 + 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569080*o + 569080*o + 6*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 5*m - 17. Suppose 0 = -2*y - 0*y - 3*g - 15, -2*y - 4*g = 18. Let o(u) = -u**2 - 5*u + 1. Let z(r) = 2*r**2 + 14*r - 2. Determine m*o(w) + y*z(w).\nAnswer: 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 26. Let t be z(14). Suppose 5*d = -5*m + 2410, 4*d - 1913 = t*m - 3*m. Is d a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 922099079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -17054*j - 170566. Give u(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 464 - 458. Suppose -g = -5*t - 2*z + 10, -5*z = -2*t - 11. Solve t*c = 4*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 5*t**2 - 9*t + 20. Let k be l(4). Suppose 6*h - 8*h = 2*r - 786, k = -2*r + h + 798. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*j + 19 = -4*j, 20 = 4*j. Suppose -9 + 5 = -2*s - 5*t, -3*s + 6 = -3*t. Put s, -2, k in increasing order.\nAnswer: -2, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*x - 3*w, -82*x + 87*x - 5*w = -20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*b = 2594 + 170 + 8956 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 321107\nAnswer: 2568856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 10*w**2 - w + 4. Suppose -7*z + 3*z = 40. What are the prime factors of o(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33703*l**2 + 45077*l**2 - 1 + 4 - 3 in the form x + r*l**2 + s*l and give r.\nAnswer: 11374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2436360 (base 8) to base 2\nAnswer: -10100011110011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 740669653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289013 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*sqrt(65))\/sqrt(5).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 0.38, 4, -194, -2\/83?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 19*q**2 + 20*q - 22. Let y = -8 - -26. Let o be k(y). Factor 3*t - 4*t**2 + o*t**2 + t**3 - 7*t**2 + 1.\nAnswer: (t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 9 - (-6 + -6) - -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 3*d. Suppose 3*y + 1160 = -d*a + 5541, -2*a = -5*y + 7281. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-105)\/245 - ((-2684)\/7 - 1). Suppose 0 = 22*a - 6*a - u. 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: b\"What is the kth term of -58, -2323, -8502, -20551, -40426, -70083?\n\"Answer: -326*k**3 - k**2 + 20*k + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 3. Let p be -4*(10\/4)\/g. Solve 2*t + 0*t + p = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 3 + 7)*(1 - 2 + 3) - 3 + 2 - 2)*(-72*k - 20*k**2 + 72*k) to the form l*k**2 + s*k + c and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -3795.\nAnswer: 22770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1797796 divided by -1\nAnswer: -1797796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2519 and 2548999.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1640, 1719, 1796, 1871, 1944, 2015, 2084?\n\"Answer: -g**2 + 82*g + 1559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34610*s = -34013*s - 12537 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*d + 912. Let b be d\/(-18) - 2\/6. Let i = -8 - b. Solve 0 = -i*w - 1 + 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -404 + 395. Suppose -5*y + 106 = -3*g, 0 = -4*y - g + z*g + 84. Calculate the greatest common divisor of y and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*y = -68 + 26, 7*w = 3*y + 24 + 104 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(3\/(-3))*1\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s - 5*h, s + 3*h - 10 = -3*s. Suppose 4*z + 3*o = 47, -2*z - o = -s*o - 1. Solve -2*u = -z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18956 is divided by 18955.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 141 + 148 = 0. Let a(x) = -4*x**3 - 25*x**2 + 10. Let j(n) = 3*n**3 + 17*n**2 - 7. Determine h*j(k) + 5*a(k).\nAnswer: k**3 - 6*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*n - 2624 + 2647, 25 = 4*n - 3*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 22069?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-99) + 24\/252*-7)\/(167\/2)\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2\/11 + 58*r\/11 = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 127 (base 9) to base 10\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13306*s + 638719. Determine i(-48).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-33)\/2464*8.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 79642 + -79627 + -24 + (3 - (-2 - -4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((448\/(-14))\/16)\/((-2)\/12*-1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (29\/58)\/(6\/(-8))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -76*o + 61*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g + 164 = 31*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 1 - 75*v**3 - 6*v**2 + 49*v**3 - 4*v + 36*v**3 in the form j*v + y*v**3 + u*v**2 + r and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 2, h: 1}. What is prob of sequence ih?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55039745 + 5?\nAnswer: -55039740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -13. Suppose -v + 31 = 4*a - 0*v, -3*a + 27 = -3*v. Suppose u*i + i = a. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 10:27 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**3\/3 + k**2 - 7*k + 1. Give c(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/12483 and 34\/1263?\nAnswer: 5255343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2404 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(154)*1)\/sqrt(7))\/(sqrt(2) + (sqrt(98) - sqrt(98)*-1))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34219927 is divided by 43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and 3?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13233 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 34 = r + 89, 2*r - 66 = -3*x. Is (-48)\/(-2) + (23 - x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 95*j**3 + 4 - 97*j**3 - 3*j + 0*j - 2*j**2. Let g be t(2). Let o = g - -26. Put -4, o, 3, 4 in ascending order.\nAnswer: -4, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**4 - 2*i**3\/3 - i**2 - 1. Let s be 3\/(12\/(-13)) - 1\/(-4). Let x(u) = 5*u**3 + 3*u**2 + 3*u. Determine s*a(n) - 2*x(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4, 4*h - 5*s - 62 + 13 = 0. Let a = -1609 + 1644. Suppose -5*b - 3 = -28. Solve -4*l + a = b*d, 0 = -3*l + 2*d - 2 + h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**6\/120 + z**5\/20 - z**4\/16 - z**3\/6 + z**2\/2 + 3*z. Factor j(h).\nAnswer: -(h - 2)**2*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -433\/82?\nAnswer: -433\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1076965?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 18 + (3 - (-1 + 2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 14, y: 1, p: 1, z: 1, s: 2}. What is prob of sequence zsa?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4199.71 kilograms to grams.\nAnswer: 4199710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-10 + 5 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103234 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85\/4 of a litre?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 206*i**2 + 29*i - 68. Is z(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 - -4 - (3 - 453). Let o = a + -249. What are the prime factors of o?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.036 or -1531.13?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36345, -72694, -109041, -145386, -181729, -218070, -254409?\n\"Answer: s**2 - 36352*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -2726.892\nAnswer: 1363.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 318752, 1275074, 2868970, 5100440, 7969484, 11476102, 15620294?\n\"Answer: 318787*v**2 - 39*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64.2 + 64.3. Which is the biggest value? (a) 1\/6 (b) 1\/24 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**6 - 10540*r**4 + 694159*r**2.\nAnswer: -240*r**3 - 252960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 1 + 1)*(139*u**3 - 522*u**3 - 233*u**3).\nAnswer: -616*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2\/3 (c) 3530 (d) 2.1 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 35 + 41. Let j = u + 31. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a70d - -10?\nAnswer: -a6dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 18*y + 1. Let j be w(-9). Solve 0 = d - j - 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-45) + (-1462)\/(-510)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + y + 0*y)*(-3*y + 2*y - 2*y) + y**2 + y**2 - 4*y**2 + (-1 + 1 - 2*y)*(26 + 7*y - 26) as o*y + p*y**2 + r and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.02 = 250111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/(-119))\/(37\/259). Is 3 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 11*o + 10. Calculate a(-9).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1344?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 7*9\/(-21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 - 1. Let w(x) = 21*x**2 - 100*x - 5. What is -3*t(b) + w(b)?\nAnswer: 3*b**2 - 100*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172 + -65. Let h = i - 71. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37103840 rounded to the nearest 100000?\nAnswer: -37100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(95) + sqrt(95) + (sqrt(95) - (sqrt(95)*-1*-5 + sqrt(95))))\/(sqrt(10)\/sqrt(18)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 739*s = 759*s - 440. What is the highest common divisor of 46 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216868*l**2 - 30 - 33 + 63 + 216882*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2072 and 329?\nAnswer: 97384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 7, 3*s - 4*k = 2075. Calculate the lowest common multiple of 18 and s.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*n + 5*k, 3*n - n = -5*k - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/184 and -31\/6450.\nAnswer: 593400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 4*n**2 - n + 0*n**2 + 0*n**2. Let h be j(1). Suppose 0 = 2*l - 2*t - 22, h*t = -0 - 2. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 1\/30*c**5 + 0*c + 0 - 2\/3*c**3 - 1\/12*c**4 - 5*c**2. List the prime factors of w(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2372 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:12 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 36. Suppose -s + 5 - n = 0. Let v(h) = -5*h + 8. What is the units digit of v(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -c + h, 4*c + h - 92 = 7. Solve 0 = -5*k + c - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {l: 1, p: 3, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzyzzzzyz. What is prob of picking 3 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 325228*i - 58191 wrt i.\nAnswer: 325228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (191*v**5 + 293*v**5 - 1699*v**4 + 1697*v**4)*(-3 + 0 - 8).\nAnswer: -5324*v**5 + 22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*s = 189*s - 28800. What is the highest common factor of 60 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*(-2)\/40*-4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -656 + 122676?\nAnswer: 122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43449 + 92284. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*b = 20, 12 = -2*w - 2*w + 3*b. Suppose 4*z = -5*s + 344, 225 = 4*z - 5*s - 119. Let m = z + -764\/9. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1810?\nAnswer: 3\/1810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72058, -72059, -72060, -72061, -72062, -72063?\nAnswer: -72064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + 1) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11191 (base 10) in base 4?\nAnswer: 2232313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7 = v, 0 = -4*v - v - 2*h + 17. Let d = 925 - 638. Calculate the remainder when (-2)\/(-6) + d\/21 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 26 = -m, -2*m + 4*w - 28 = -4*m. Let z(s) = -7*s - 210. What is the remainder when z(-32) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrr. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*w**3 - 30355 - 30351 + 60700 - 27*w**3 - w**4 - 2*w**2 in the form m*w**2 + f + r*w**4 + g*w + o*w**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*j - 173*j - 216. Calculate the lowest common multiple of j and 140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from vldelzmz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6 - 3. Let y = -2 + n. Let d = y - -14. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five eighths of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10739 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1854 and 540?\nAnswer: 55620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*r - 16, 6*r - 2*r + 24 = 5*t. Suppose 0 = -4*y + 4, -3*s + 2*y = t*y - 20. Calculate the greatest common factor of s and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 6. Let z be x(3). Suppose 9 = -z*r + 30. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 0 + 1 - q**3 + 0. Suppose 5*v + v = 0. Suppose 3*g - 4*g + 3 = v. Let x(m) = -5*m**3 + 3*m**2 + 2. Give g*d(y) - x(y).\nAnswer: 2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697749 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70043.\nAnswer: 89, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekekkek. What is prob of picking 3 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/(-12)*(153 + (-428669)\/2807)?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*b**3 + 1900*b**2 + 753*b - 134 wrt b.\nAnswer: 108*b + 3800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 615 + -419. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/7)\/b*(((b**(2\/11)\/b*b)\/b)\/b)\/b*b*(b**(-2\/3)\/b)**39 assuming b is positive.\nAnswer: b**(-5277\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296466264.\nAnswer: 2, 3, 17, 80737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.49 + -2.7. Let q = i - -2.21. Let j = -0.06 - -4.06. What is the fourth smallest value in -0.1, q, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19441*x + 19437*x = 4*a - 108, x = 10*a - 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 19*h - 74. What is m(20)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 27 + 19 = 0, -3*r - 3*v = -101460012. What is r rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*d + 6 = -8*d, 4*v + 4*d + 8 = 0. Suppose 5*k - k + 5*y - 252 = 0, 3*y = v. Suppose 35 = 2*z + 17. What is the greatest common factor of z and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4012943436.\nAnswer: 2, 3, 131, 523, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 6) to base 12.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-2*z + z - z)*(4*z - 3*z - 5*z).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/8*2\/(-6). Calculate the greatest common divisor of v and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16443?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 248407738 and 248407734 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*c - 157 = 0, 0 = 4*x + 2*c - 0*c - 210. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*l + 2. Let x be ((-28)\/(-10) + l)\/2. Is -1 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.077 and 1420?\nAnswer: 109.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60633\/260 - 3174\/13. Let a = h + 131\/5. What is the common denominator of (-142)\/48*1*2 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448)*-3*-5 - sqrt(448)) + 0 + sqrt(448) + 2 + -2)*6)**2.\nAnswer: 3628800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-5))\/((-2)\/(-10)*-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 110 = -5*z - 326, -2*j - 160 = 2*z. Which is bigger: -95 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l + 2456*l**3 - 1360*l**3 - 1561*l**3 + l**2 to the form b + j*l**2 + x*l**3 + v*l and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -32\/363165?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sggs when four letters picked without replacement from sggssgggggg.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 6)*(79 + 34*i + 33*i - 69*i) - 3*i - 2*i + 3*i.\nAnswer: -6*i + 158","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Calculate t(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22572 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -n - 90682, -5*h + n + 90694 = 4*n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, -1, -2527\/2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418250 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.9 - 1.9. Let c = -185\/4 - -2413\/52. Let l = 166076\/415165 + -2\/83033. What is the second biggest value in c, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 1, y: 3, k: 2, q: 1}. Give prob of picking 1 y and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 = q. Let f = 27 + q. What is the least common multiple of f and 284\/14 + 4\/(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + sqrt(15))*-1 + sqrt(60)\/(-2*sqrt(4)))\/(sqrt(55)\/sqrt(539)*1).\nAnswer: -77*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335283 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -122. Let v be ((-6)\/(-3))\/(-2) - 1. Let g be 18\/v*(-1 - 0). Calculate the greatest common divisor of m and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69 - 83) + -15 + -1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 6*x + 10. Let g be v(2). Suppose -k + 176 = g*b, -2*k = -3*b - k + 274. What is the highest common factor of b and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 8, 5 in increasing order.\nAnswer: 2, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -984469, -1969051, -2953633, -3938215, -4922797, -5907379?\nAnswer: -6891961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/3)*b**(-8)*b**2\/(b*b\/b**(-2)) assuming b is positive.\nAnswer: b**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 + 267 = -2*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 105\/42 + (-6)\/4. Let f be b + 44\/(-12) + 3. Factor 0 + 1\/3*a + f*a**2.\nAnswer: a*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/(1 - 3). Let w be 2*(-1)\/(-2) + 0. Which is greater: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1. Let i(p) = 5*p + 8. Let d(b) = -i(b) + 4*o(b). Let x be d(-5). Suppose -6*r - 1 = -x. Solve -5*h = -7*j + 2*j + 25, -2*h - 4*j + r = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7387448464 take away 271?\nAnswer: -7387448735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 11*j - 78. Let l be g(16). Suppose 6972 = 4*k + l*n, 1396 = k - 5*n - 369. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -529*i**2 - 119*i**2 - 854*i**2 as l*i + t*i**2 + c and give t.\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 + 25*m - 25. Let v be l(3). Solve -v*j + 3*h - 5 = -1, -5*j + 2 = -h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 - 103. Let x be 3\/(b\/25)*-184*10. What is x rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1996\/(-45409))\/(16\/(-28))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkn when three letters picked without replacement from kknnknnnnnnknk?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 0. Let k be -1 - -3 - (5 + b + -11). Find the third derivative of k*r**4 + 15*r**6 + 9*r**2 - 10*r**4 wrt r.\nAnswer: 1800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, i: 1, b: 1, c: 6}. Give prob of picking 4 x.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w = -60*w + 91*w - 304 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/9 + 758*r**3\/9 - 500*r**2 + 8968*r\/9 - 5968\/9.\nAnswer: -2*(r - 373)*(r - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 653.5515 millimeters?\nAnswer: 653551.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -164614 (b) 2 (c) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 331432, 1325664, 2982716, 5302588, 8285280, 11930792?\n\"Answer: 331410*k**2 + 2*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -28. Suppose 2*w + i = -16. Let o = -13 - w. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*x + 5, -7*w - 328*x + 321*x + 35 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 7. Let m be y(5). What is the second derivative of 11*r - m*r**2 + 10*r - 14*r wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 955?\nAnswer: 10505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b + 196 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.27 * 2.\nAnswer: 4.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 0*l**4 + 0 + 0*l**5 + 96*l + 0*l**2 + 0*l**6 - 41\/21*l**7 - 13\/3*l**3. What is the second derivative of w(i) wrt i?\nAnswer: -1640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 24*f - 70. What is the tens digit of x(51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6550101869?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14688098 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - ((-15)\/40 + -1). Let q = 24937\/28 - 6229\/7. Factor q + 3\/8*u - f*u**2.\nAnswer: -3*(u - 2)*(u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-1)\/((-10)\/645)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2370 and 21.\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 426 = -477 + 555 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g**2 + 18*g + 138. Let c(n) = -7*n**2 + 9*n + 70. Let p(d) = 11*c(d) - 6*y(d). What is the first derivative of p(x) wrt x?\nAnswer: 2*x - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.31, -4.991, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 27*g**5\/5 + 85*g**2 + 111. Find the second derivative of t(x) wrt x.\nAnswer: 324*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 43 = -3*t. Calculate the smallest common multiple of t and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 + -409\/3. Sort -4, t, 0, -1.\nAnswer: -4, t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -446, -570?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u = -21*u + 50 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17886 - -41009. Let d = n + -9923. Suppose 2*g = -2*g + d. What is g rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9093 divided by -486?\nAnswer: -3031\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 15 = 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3098451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22826 + 84992. What is the ten thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830025 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3601\/15 + -1197\/5. Sort 1\/5, 1\/4, -0.27, y.\nAnswer: -0.27, 1\/5, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260465.\nAnswer: 5, 113, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 2*z + 2. Let q be b(2). Let u be (q\/(-8))\/(5\/820). Let o = u - 163\/4. Which is greater: o or 1\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.65 - -0.35. Let x = g - 21. What is the closest to 0 in -0.5, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001665 to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 - -2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 17. Solve l = -4*o + 3*b - 0*b + 10, 4*o - 4*b - 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27619002007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 26, 53, 98, 167, 266, 401, 578?\n\"Answer: u**3 + 8*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/115 and -103\/60?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5.7. Let i = -0.2 - -0.1. Let o be (-3)\/(-2) + (-1)\/4. Which is the nearest to -1? (a) f (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (951\/(-1268))\/(6\/(-166016))?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q**2 + q. Let s(t) = t**3 - 3*t**2 - t. Let u be 46\/11 + (-8)\/44. Suppose -4*n + 7 = -5*f - 6, u*f = n - 6. Determine f*v(r) + s(r).\nAnswer: 2*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 401 + -182. Let c = -218 + g. Let x = -0.1 - -0.6. Put c, x, 3\/2 in descending order.\nAnswer: 3\/2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjg when three letters picked without replacement from oqgggoojccjjgej.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161059\/18 + -8941. Calculate the common denominator of -49\/6 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/((-3330)\/520)*(-6)\/(-8).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 12*c - 1. Let n be h(12). Let s = -15.2 + -12.6. Let y = s - -31.8. Sort n, y, -4.\nAnswer: -4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54432\/1120*(2\/(-10))\/((-4)\/((-600)\/(-18))).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005441765 rounded to four dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -1, 71909272 in decreasing order.\nAnswer: 71909272, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (69 + 128 - 350)*(30 + 17 - 35)*(-1 + 3 + 0)*(0 + 0 + 2)*(-4 + 4 - 2*z) in the form a*z + q and give a.\nAnswer: 14688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 151*q**2 - 28*q - 349. What is the ten thousands digit of f(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -799 - -481. Let u = h - -322. Solve -24 = -u*v - 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u. Let r be i(-1). Let q(t) = t**r + 14 + 5*t - 4*t - 5. What is the units digit of q(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 4:11 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102221022 (base 3) to base 13.\nAnswer: -cbc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4728994.\nAnswer: 2, 67, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*s = -57*s - 1764. Does 42 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2882 or 20166\/7?\nAnswer: 20166\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7)*2) + -4.\nAnswer: -4 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.56 + -0.6. Let t = l + 1.24. Round t to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57\/344 + -117587\/3784. Let o = -2093\/88 - h. Find the common denominator of o and -115\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 6 + 9. Let c = -2 - -5. Calculate the greatest common factor of c and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-4 - -3) - 3. Find the third derivative of -8*z**2 - 5*z**5 - 29*z**o + 9*z**5 wrt z.\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 + 4*v**2 - 4*v + 2. Suppose 2*z + y = -2 + 5, y - 9 = -4*z. Let g be u(z). Suppose 0 = f - 2 - g. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 3*k**2 - 3*k - 3. Let q be j(-3). Suppose 0*c + q = 3*c. Suppose 0 = 2*r - 2 - c. Put 1\/8, r, 1 in decreasing order.\nAnswer: r, 1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7228187, -14456368, -21684549?\n\"Answer: -7228181*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24025 (base 6) in base 12?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 3*b**2 + 6*b - 4. Let z be o(-4). Suppose 0 + z = x. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 5*m + 7 = -4*w - 63, w = 88*m - 160 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (7\/3 + -3)*-105. Let l be (-5)\/(z\/(-4)) - 10\/35. Suppose f + 4*b = -0*f + 18, l = 4*f - 5*b - 93. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889795879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 10*y - 6. Let d be m(-5). Let l be (3*7)\/(d*(-1)\/40). Calculate the greatest common factor of 60 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 51*w**2 + 21*w - 43. Suppose 28*m - 26*m - 52 = 0. Let v be i(m). Which is smaller: -172 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l + 7*l + 0*l - 4*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**6\/720 - s**5\/120 + s**4\/4 + 5*s**2. Let t(k) be the second derivative of h(k). Differentiate t(p) with respect to p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7 = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryyrnnnn. What is prob of picking 3 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*m - m**4 + 5*m + 0 as a*m + i*m**2 + f*m**3 + o*m**4 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 3*w + w**2 - 3*w - 1 + w**4 - 2*w as q*w + p*w**4 + u*w**2 + b*w**3 + l and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63767 + 89924. What are the prime factors of r?\nAnswer: 3, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -481, -783, -1361, -2305, -3705, -5651?\nAnswer: -8233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - f**2 - 2*f**2)*(3 - 2 - 2)*(f + 4*f + 0*f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23526491 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 40. Suppose -8*f - 49 = -161. Let t be x(f). Find the second derivative of j + 17*j**2 + 18*j - 4*j**2 - 8*j**t wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/130)\/(6\/78)*4*2\/(-1060)\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -482 - -499. Suppose m + 17 = 17*n. Suppose 0 = -2*b - 0*b + 6. Solve -n*a + 11 = b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26162492*z**3 - 1159*z**2 + 624*z wrt z?\nAnswer: -156974952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736) + 0 + -3)**2 + 4.\nAnswer: -144*sqrt(19) + 10957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**4 + 496*l*q**2 - 675*q**2 - q wrt l?\nAnswer: 8*l**3 + 496*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725930401?\nAnswer: 3, 908643467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 23\/7 (c) 2\/13 (d) 14 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/6 + 4\/(-6). Suppose 4*z - 3 = -o + z, -2*o = -5*z + 38. Let n = o - -13. Solve 3*w - 13 = -n*r, -i*r + 3 = 6*w - w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*t + 32 = 0, -4*a + t = -t + 26 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89717 + 90087.03. Let t = f + -367. Let w = 0.03 - t. Which is the second biggest value? (a) w (b) -0.02 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -92 + 57 + 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7510 + -7038. Calculate the highest common factor of 2006 and h.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.607515 rounded to two dps?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -195*t**4\/2 + 9951*t**3\/2 - 49293*t**2 + 138402*t - 4212 = 0.\nAnswer: 2\/65, 6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 4*d**2 + 6*d - 3. Let m be q(-5). Let r(t) = t**2 + 3*t - 5. Let s be r(-6). Let f = m + s. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3934, 10406, 16878, 23344, 29798, 36234, 42646?\n\"Answer: -h**3 + 6*h**2 + 6461*h - 2532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.85 - -0.15. Let g = v + -4.000032. What is g rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 + 61 + 10*q**2 - 35 - 54 + 9*q**2 - 29*q**2.\nAnswer: -2*q**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -1*(-1 + sqrt(3)) + 5 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*i**3*u**3 - 3*i**3*u - 29*i**3 - 7*i*u**3 + i*u**2 + 4*i - u**3 wrt u.\nAnswer: 210*i**3 - 42*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 58, -1.76, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 119842306 to the power of 1\/2, to the nearest integer?\nAnswer: 10947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 2*w - 30, -78*p - 5*w + 21 = -79*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 70?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -23. Suppose -v = -16*i + 14*i. Solve 4*f + 4*j = 0, 4*f - 3 = -5*j + i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*a, -a - 3 = 5*f + 15. Suppose -5*b = 2*r - 1910, b - 3*r - 389 = -a*r. Let p be 500\/b - (-3 + 39\/9). Is p at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (360*w + 1142*w + 1120*w - 886*w)*(-12*w**2 + 147 - 147)*(-w**2 + 1 - 1).\nAnswer: 20832*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3010 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28895 + 5258887\/182. Put -5, 2, m in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -16*m**2 - m - 1. Give j(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*n. Let b(z) be the first derivative of 4\/3*z**3 + 4 + 4*z**2 + n*z. Factor b(d).\nAnswer: 4*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-648)\/(-20))\/((-2)\/(-5)). Suppose 2*b = b - 3*k + 27, 0 = k - 3. What is the greatest common factor of n and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - (-1)\/(10\/55). Suppose -4*b + 54*l = 50*l - 16, 20 = b - d*l. Factor -36\/5*r**4 - 54\/5*r**3 + 0 + b*r - 27\/5*r**2 - 8\/5*r**5.\nAnswer: -r**2*(2*r + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by -109.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -131324233 (base 5) to base 16\nAnswer: -9f22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 3:51 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*q - 22. Let k = 1 - -4. Let x = 1865 + -1850. Solve 3*a + 3*u - u = -q, u = k*a + x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.936 + -0.064. Let u = j + 28.88. Let i = u - -0.12. Put 4, i, -5 in decreasing order.\nAnswer: 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 + -707 + 734 + 9\/(-1)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 108. Let b be h\/78 + (-4)\/(-26). Determine x, given that 3\/2*x**3 + b*x + 3\/2*x**2 + 1\/2*x**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 111888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -13*c**3\/6 - 4*c. Let a(g) = g. Give q(a(n)).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**2 + 14*i - 346. Calculate m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 199988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 225 - 213.8. Let u = -11.4 + i. Which is the third biggest value? (a) 3 (b) -0.01 (c) u (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/180 - 3*c**2\/2 - 3*c. Let g(t) be the first derivative of r(t). Suppose g(d) = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from {o: 1, d: 1, y: 1, p: 1, w: 2, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-539\nAnswer: 53.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132344683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 2*x - 3. Let g be n(0). What is the units digit of 242 - 0\/2*(g - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 776*k**3 - 2217*k**2 wrt k?\nAnswer: 4656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 65575552?\nAnswer: 65575529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 5:58 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*46.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v - 582 = -36*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 213 (b) 23 (c) 2\/989\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + 7) - (-4 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u + 0*u + 2*u + 2*u - 4*u + 33 as y + w*u and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207297 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 9*n**2 - 171*n + 2608. What is the ten thousands digit of g(31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/119 - -155\/1428. Put 2\/17, v, -1.17 in decreasing order.\nAnswer: 2\/17, v, -1.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-5) + 10\/(-4)*-10. Let s = 126 - f. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:26 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxpxxxxxxpxp. Give prob of picking 1 p and 2 x.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103936 + 3*m**2 + 31*m**2 + 37*m**2 - 18*m**2.\nAnswer: 53*m**2 + 103936","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5\/8 (b) 17 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 12:04 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1831.1 to the nearest 10.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 15 - 10)*(-2*f**2 - 3*f + 3*f) to the form u*f + j*f**2 + m and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.3 (b) 4 (c) -1 (d) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) -6 (c) 5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 3 (c) -1\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.59 + 0.681. Let l = -0.2021 + 0.2021. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9114 and 43152?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353495?\nAnswer: 3, 5, 11, 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572060.\nAnswer: 2, 5, 28603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 15 + 27. Suppose -5*c - 4*k + 23 = 0, 5*c - 8 + 1 = i*k. Suppose 6*m - c*m - 197 = -2*j, -m + 67 = j. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(13*h - 70*h - 70*h) + (0 + 0 - 3)*(-4 + 1 - 2)*(-h + 2*h + 0*h) as n*h + q and give n.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12022 - 21222000?\nAnswer: -22011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) 69 (c) 636 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b**2*z**3 - b**2*z + 927*b**2 + 4*z wrt z?\nAnswer: -18*b**2*z**2 - b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*h + 25 = 0, r = -4*r - 2*h + 10. Suppose -5*t - f = 2*f - 15, -5*f = -4*t - 25. Solve 2*x + r*x + 8 = t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19181070*r**6 + r**5 + 1294590*r**2 + 4?\nAnswer: 2301728400*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - y - 3. Let q be m(-3). Let t = -93 + 183. Suppose -15*x = -20*x + t. What is the greatest common factor of x and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*x - 50*x - 12 = 0. Suppose -x*i = 3*h - 22181, h - 4*i = -3*i + 7392. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*v*w**3 - 5*c*w**2 + 6*c*w - 2*c - 31*v + 560*w**3 + 4 wrt w.\nAnswer: -12*c*v*w - 10*c + 3360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*j = -1, 3*h - 3*j = j + 10. Let q be (6\/4 - 1\/h)*-3. Let c(i) = -242*i + 24. Let l be c(q). Round l to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -0.9. Let q = 1.893 - 2.193. What is the biggest value in k, -29\/3, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 16*t**2 - 27*t - 24. What is x(14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -11. Let v(u) = -3*u + 9. Let b be v(f). What is the highest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 2*p - 15. Let u(x) = -9*x**2 - 11*x + 76. Let j(b) = 261*b - 11495. Let n be j(44). Determine n*c(t) - 2*u(t).\nAnswer: -4*t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4096*n**3 + 14*n**2 + 18*n + 13*n**2 - 4105*n**3 + 2*n**2 - 30*n**2.\nAnswer: -9*n**3 - n**2 + 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1770 = 5*c, -4*i + i = -15. Suppose 4*x - 2*v - 898 + c = 0, -x = 4*v - 159. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -771, 5, -6 in increasing order.\nAnswer: -771, -6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2533641655 - 1?\nAnswer: 2533641654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (30\/(-21) - -1) + 412\/14?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 11. Let y = 7 - p. Let m = 2 - 5. What is the third biggest value in y, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*z + 105*z + 110*z - 2 - 131*z in the form s*z + m and give s.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**19*o**6)\/((o\/(o\/o**(1\/19)))\/o**19) assuming o is positive.\nAnswer: o**(854\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let k(r) = 91*r - 36*r**2 - 198*r + 107*r. Determine k(v(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 22*n - 1. Give p(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 77104, 77124, 77154, 77194, 77244, 77304?\n\"Answer: 5*x**2 + 5*x + 77094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6963930 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -708000 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10506 or 10501?\nAnswer: 10501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13739809, -13739803, -13739797, -13739791, -13739785, -13739779?\nAnswer: -13739773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2459977?\nAnswer: 13, 189229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 112, -26*g + 48*g - 11*g = 16*g - 15*i + 440 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 0, 13, 17, -4 in descending order.\nAnswer: 17, 13, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 39*y - 11. Let a(w) = w**2 + 13*w + 21. Let l be a(-10). Let s(o) = -19*o + 5. Calculate l*s(q) - 4*z(q).\nAnswer: 15*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*p + 92. Let t = -10 + p. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:53 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -837 - -833. Let z be 55 + ((-16)\/c + 8 - 6). Suppose 0 = 4*h - 12, 4*r - 245 = -2*h + 3*h. Does z = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -18. Which is the third smallest value? (a) r (b) 2\/21 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 3332301203?\nAnswer: 3332301222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 33 + 58 = -3*j + 16, -72*j - 5*i - 420 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/1428*-17*(-12)\/14\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2179*d**2 + 2*d + 4 - 5 + 2192*d**2 to the form o*d**2 + k + q*d and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Let z(n) = -n. Let v be z(-1). Factor 2*w - 2*w + w**d - v.\nAnswer: (w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((-108)\/(-15) + (43 - 50))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1343 - 1383.08. Let a = y - -38. What is a rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 193*n + 724. Calculate j(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 901960 divided by -180392.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - 33. Let w = a + 84. Let r = 16 + w. What is the nearest to 0.3 in 1, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b. Let j(y) = 14*y. Let c(m) = 4*j(m) - 7*v(m). Let t(o) = o. Calculate c(t(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Let y be j(-1). Let n(f) = -f**3 + 2*f**2 + 2*f - 2. Let g be n(2). Suppose 5*l - g*l - 6 = 0. Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - w. Let j be r(1). Which is greater: -16\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 526 = -5*r, -5*r - 2*z = -4*r - 110. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 7 + ((-71 - -34) + 14 - -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.098 - 15. Let i = 25.098 - u. Which is bigger: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 3. Let r(p) = -p**2 - 6*p - 3. Let h be r(-4). Calculate k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -81 + 78 + -9.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -551729 - -311175007\/564. What is the common denominator of -53\/94 and j?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2273 is divided by 1128?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10144726*h**3 - 50177347 wrt h?\nAnswer: 30434178*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 + 1\/12*p**4 - 6*p + 0*p**3 + 0*p**2. Let m(a) = -8*a**2. Give b(m(x)).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30074 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 9340*s.\nAnswer: 2*s*(s - 32690)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -85.61.\nAnswer: 3.4244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 - t**2 + 6*t**2)*(-1 - 2 + 4)*(13893 - 102*t**2 - 13893) in the form j*t**4 + q*t + s*t**3 + v*t**2 + w and give j.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 - 2*y + 3. Let p(u) = -5 + u**2 + 8*u - u - u. Let v be p(-7). Is 8 a factor of t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (1 - 3 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 232486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 49*p - 272. Determine z(9).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(152)\/sqrt(128).\nAnswer: sqrt(19)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x + 9. Let n(r) = -3*r - 4. Let l(o) = -2*i(o) - 5*n(o). Let c be l(-2). What is the closest to 1\/7 in 1, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 88. Let v(i) be the second derivative of 4*i + 0*i**2 + 1\/3*i**3 + z. Let w(t) = t. What is v(w(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 5, m: 5}. What is prob of sequence os?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 71\/5, -2\/13, 0.21, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Suppose 0 = 2*c - j*c - 4. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3652177 times -0.5?\nAnswer: -1826088.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 25 - 3*f**3 + 25.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 4 - 1\/2*t**3 + 0*t + 1\/12*t**4 - 3*t**2. Let y(b) be the second derivative of o(b). What is y(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121055 greater than or equal to 1\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r - r + 10*r + 12*r to the form x + m*r and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -0.39 (c) -16 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 26 + 28. Let y be (w\/14 - 4)\/1. Put 0.6, 2\/7, y in descending order.\nAnswer: 0.6, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 420*j + 2987. Calculate the remainder when 396 is divided by z(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 - 14*g**2 + 6*g + 6. What is the tens digit of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-6))\/(2\/(-24)). Suppose -c*b + 1460 = 2*g, 0 = 3*b + 4*g + g - 1081. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 5 - 17 + 27*d + 4 - 11*d**2 - 2 to the form k*d + c + o*d**2 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -487.1 - -486.9. Which is the nearest to -2\/479? (a) v (b) -0.3 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3186 + 3186. Solve -q + 3*v + 6 = x, 6 = -26*q + 21*q + 3*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 170*y**2 - 24*y + 14. Let o(n) = 68*n**2 - 10*n + 4. Let t(i) = -12*o(i) + 5*s(i). Let h(r) = 2*r. Give h(t(m)).\nAnswer: 68*m**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 - 127 + 127.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 96017415378 and -2133.\nAnswer: 96017413245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xal when three letters picked without replacement from lxa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000434343 to 7 decimal places.\nAnswer: -0.0000434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 - -162.091. Let p = 14.909 + w. Are p and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(72)\/sqrt(8)*6).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53837 is divided by 3129?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86 or 0.1?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76508833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 206612142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -376, -2, 41, -4, 1, -6 in descending order.\nAnswer: 41, 1, -2, -4, -6, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4443 - -110?\nAnswer: 10103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -506\/7 - -72. Let k = 314 - 454. Let c = k - -137. Sort c, -0.3, q in descending order.\nAnswer: q, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 o, and 1 u when four letters picked without replacement from {e: 3, o: 4, u: 3, d: 8, v: 1}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 3226749*y + 9680274.\nAnswer: -3*(y - 3)*(y + 1075586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 l, and 1 x when four letters picked without replacement from rrfffcfxlkrl.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1246 = 2*b - 4*b, -v - 1241 = -2*b. Let f be 2\/8 + b\/12. Suppose -4*n + f = -5*u, -n - 4*u - 4 = -u. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 3\/4, 0.18, -5, -0.087?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*q + 8, -5*y = -5*q - 4 + 14 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -106, 0, -2, 1?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186639.2 nanometers in millimeters?\nAnswer: 0.1866392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 1\/3, 5\/23?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*d - 3*d - 17, 4*k + 5*d - 37 = 0. Let q(i) = -16*i + k*i + 11*i. Let w(n) = 19*n. Determine q(w(l)).\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205485 is divided by 29266?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -21. Let q(n) = 1. Let i(g) = -2*g + 12. Let u(h) = i(h) - 4*q(h). Determine u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 77462847?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -377, 5, 1, -4, 7942 in decreasing order.\nAnswer: 7942, 5, 1, -4, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111287 is divided by 402.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378) - -1*(sqrt(378) + (sqrt(378)*-2 - sqrt(378))) - sqrt(378))\/(sqrt(144)\/sqrt(4)))\/((-2*sqrt(6534))\/((sqrt(72) + 1*sqrt(72))\/sqrt(8))))**2.\nAnswer: 7\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 97818328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000368678 rounded to 7 dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 139884 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -3 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 - 565080*f**2 + 168507385*f + 510608010 = 0.\nAnswer: -3, 302, 112717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 606*o**3 + 9*o - 5. Is d(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(211\/(-1899))\/((-10)\/(-6)). Let g = -2 + 2.1. Which is the nearest to s? (a) g (b) 2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57878940287 take away -173?\nAnswer: 57878940460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 25544.\nAnswer: -9\/25544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.2 - -44.2. Let q = -38 + 18. Let d = q + x. What is the smallest value in -5\/3, d, -0.3, 1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*h, -4*h - 18 = -3*v + 4*v. Find the first derivative of 71*j**3 + 1 - v + 79*j**3 + 46 + 57 wrt j.\nAnswer: 450*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 9*p + 8. Let m be c(8). Let h be (-3 - -1)*5 + 9. Sort 5, m, h, -3 in ascending order.\nAnswer: -3, h, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 + 2501 = 179*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 - 3*z**2 - 2*z**2 + 2*z**2 + 3*z**2 - 3*z**2 + (-2*z - 1 + 1)*(2*z + 1 - 1) + 22 - 22 - 5*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Sort -12, i, 2.\nAnswer: -12, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 357935, 715862, 1073785, 1431704, 1789619?\nAnswer: 2147530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.23 - -0.97. Let o = -4.199799 + d. Round o to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-4))\/k**7*(k\/(k*k*k**8*k*k))\/(k*k**(8\/7)) assuming k is positive.\nAnswer: k**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Let o = -1 + i. Suppose -4*p = k - 49, -o*p + 12 = -5*k - 19. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, c: 6, d: 1, s: 2, h: 1}. What is prob of picking 1 h and 3 c?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -43. Let g(i) = i**3 + i**2 - 4*i + 3. What is g(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 536, 24348?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 137, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + b**3 + 3*b**3)*(4 - 2 + 0) - 87*b**3 - 288*b**2 + 288*b**2.\nAnswer: -83*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r. Let d(k) = -407*k**2 - 32*k + 217. Let g(v) = -d(v) - 4*x(v). Find the first derivative of g(s) wrt s.\nAnswer: 814*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 3*p - p + (-3 + 6 - 2)*((0 + 2 - 3)*(p - 2 + 2) + (-2 - 7*p + 2)*(88 - 59 - 72)).\nAnswer: 299*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-15)\/60*6\/(-1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o - 103. Calculate the remainder when 409 is divided by r(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2 + 18. Suppose -13 = -q*l + 11. What are the prime factors of (126\/(-15))\/(l\/(-15))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*p**3 - 2*p - 150*p**3 + 961 - 961.\nAnswer: -255*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 11 + 0 + (0 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Suppose 2*j + 41 = -5*w, -3*j + w - 34 = 19. Let l be b(j). Suppose -2*q + 5 = -31. What is the highest common factor of q and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/30*3\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -12. Let r = o + 8. Let c be (-40)\/25 - (-2 - (-1 - -1)). Sort r, c, -4\/5 in decreasing order.\nAnswer: c, -4\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2 + 0 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z = 88*z - 1470. Let i = -7 + 13. Calculate the greatest common divisor of z and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (-5 - -2) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 7 = -4*u, 3*b + 7 + 0 = -2*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(12\/(-14)*(-644)\/414).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 2 = -2. Put -13, n, -5 in increasing order.\nAnswer: -13, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 181*j**2 + 355*j - 301. Give n(179).\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129523 greater than 2129518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 163 + 0 - (0 - -3). Suppose -55 = -2*n - 5*g, n + 5*g - v = -4*n. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12482*-0.46.\nAnswer: -5741.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*r + 5 + 7 - 12 as o*r + x and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 2606?\nAnswer: -2603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:46 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42710 + 40?\nAnswer: -42670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 1180. Let l(c) = c - 397. What is -3*g(x) - 10*l(x)?\nAnswer: -4*x + 430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = m - 29, -4*t + 5885*m - 5890*m + 50 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 9.7. Let o = -9.4 + u. Which is the smallest value? (a) o (b) 5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/16)\/((6\/2)\/(-6)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 11:04 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38028 - 190136\/5. Determine q so that 3\/5*q**5 - 11\/5*q**3 + 8\/5*q + 3\/5*q**2 + 1\/5*q**4 - k = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4726, -4785, -4934, -5215, -5670, -6341?\n\"Answer: -7*x**3 - 3*x**2 - x - 4715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 732*h\/11 - 896.\nAnswer: -2*(h - 352)*(h - 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.06 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2950813, -2950817, -2950823, -2950831, -2950841?\nAnswer: -2950853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1397627 + 0?\nAnswer: 1397627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45100512 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**4*g - 484*a**2*g**2 - a*g**2 - 1661*g**2 wrt a?\nAnswer: 8*a**3*g - 968*a*g**2 - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 - -541314?\nAnswer: 541256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104.827 + 2.\nAnswer: -102.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x**9\/x)))\/x)**(3\/2)*(x*x*x*x**(-2))**(1\/20))**(5\/7) assuming x is positive.\nAnswer: x**(211\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196 - -198. Calculate the smallest common multiple of 2 - 1 - 2 - -13 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-8))\/(-35*9\/(-180)))\/(63\/(-14))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 9 (b) 3\/11 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4633, 9226, 13777, 18286, 22753, 27178?\nAnswer: 31561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -764*q**3 + 11689*q**2 + 26735231 wrt q.\nAnswer: -2292*q**2 + 23378*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84\/41, -1\/2, -0.1, -0.028 in descending order.\nAnswer: 84\/41, -0.028, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 30404143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 12) to base 4.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15772 + -15770. Suppose -10 = -5*k + 4*m, -5*k + 5*m + 0 + 5 = 0. Solve d - k = -t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -2*a**7\/15 - 22*a**6\/15 - 5*a**5 - 3*a**4 + 321*a**2 + 1. Factor u(d).\nAnswer: -4*d*(d + 3)**2*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 152.92902 months?\nAnswer: 0.12744085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 694, 1212, 1512, 1594, 1458, 1104?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1639385260?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -0.168471\nAnswer: -0.02021652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 88.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 45 - -40) + -2 + 2 + 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2443*z**2 - 3. Let d(n) = n**2. Calculate d(t(m)).\nAnswer: 5968249*m**4 + 14658*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154360\/7 + -22334. Let g = -27631963 - -3094748733\/112. Let c = f - g. Calculate the common denominator of -81\/16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00931 to four dps.\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:59 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 429 and 221.\nAnswer: 7293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - h - h)*(-4 - 2 - 4)*(-12 + 14 + 2*h + 2*h) to f*h**2 + l*h + g and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 828721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/7, -1, 20, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 11. Determine g(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -i - 3*l + 8, -2*i - l = -12. Let p = -44 + i. Let u = p + 40. Solve 0 = -5*s - 3*a - 21, u = 3*s + 2*a + 13 - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2685*i - 86*i**2 + 2685*i + (0*i - i + 3*i)*(-3*i + 4*i + i) to the form h*i**2 + s*i + v and give h.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6*(4 - 1). Let t be (21 + 3)*2\/8. Solve -3*c**k - 6*c - 2*c + 2*c - 3*c - t = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 303274*d - 303280*d + 4*y + 124, d + 3*y = -71 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1066*g - 6392. Let r be b(-6). Solve -r*t + d + 4 = 0, 0*d = -3*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttdp when four letters picked without replacement from dydtddgddtppgypy.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-95)\/665*2*203\/(-2). Solve -2*a + 5*j + m = 2*a, 5*a + 3*j + 10 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwsl when four letters picked without replacement from llwwlsss.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpptppppkp. What is prob of sequence pt?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/16 - (-18)\/(-4). Let t(l) = -l**3 - 6*l**2 - 5*l. Let v be t(j). Solve v = -2*k + 3*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 68 + 157 + 2*o - 2*o - 4 + 4 + (-3 + 1 + 3)*(-o + 0*o + 0*o) to the form k + g*o and give k.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 - 5*i + 11. Calculate g(-6).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 31, -5, 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**3 - a**2 + 6*a - 2. Let n be 14\/(-3) + (-8)\/(-12). Let s(h) = 6*h**3 - 2*h**2 + 7*h - 2. Let v(o) = n*s(o) + 5*j(o). Determine v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167 (base 8) to base 6.\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/7)\/n*n**(-29\/2) assuming n is positive.\nAnswer: n**(-209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306285 divided by -14585.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 8805 - 25176. Suppose -4*c = 2*z + z - g, 5*c - 2265 = -2*z. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 394.68 - 399. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5007 - 515. List the prime factors of s.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -4*p + 6*p, -2*d = -3*p - 4. Let o be (0\/(-2) - 0)\/d. Which is smaller: 2\/11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5104 to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 2*o + 2*o)*(-2 + 4 + 0) + (-3*o + 2*o + 0*o)*(-1 + 4 - 1) - o + o - 2*o as w*o + u and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -252 + 110. Let v = l + 783. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kak?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 1, x: 3, y: 1}. What is prob of sequence xy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.69 + -1.71. What is h rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9\/4 + 3\/4*r**2 - 3\/2*r = 0. What is r?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 15 = -r, 2*a = -3*r - 2*a + 45. Suppose 3*c = w + 25, 5*c + 5*w - r = -0. Solve 0 = -3*q + c*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104014 by 18.\nAnswer: 52007\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 50. Suppose g = -3*x - l + 7, -3*g + 3*x = -3. Suppose 5*k - z - 27 = -2*z, -g*z = -2*k + 6. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225380918 and 1.\nAnswer: 225380918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 763 = 2*a, -5*a - 11*d + 1925 = -7*d. What are the prime factors of a?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 189?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 9. Let q be a(3). Let p(z) = -z - 1. Let j(u) = 3*u**2 - 3*u + 3. Let x(n) = q*p(n) + 4*j(n). Find the first derivative of x(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-11)*u\/u**3*(u\/(u*u**(-7)\/u)*u)\/u**(2\/49) assuming u is positive.\nAnswer: u**(-198\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342584569.002794 - -342587856. Let q = -3287 + f. Round q to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, s: 1, n: 1, b: 2, m: 1}. What is prob of sequence sl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38880.12 * -3.3.\nAnswer: -128304.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (-1*sqrt(77) - sqrt(77))*-3 + sqrt(77) + sqrt(77))\/sqrt(7) - sqrt(33)\/(3*sqrt(3))*-6.\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuvvuxxucuvvgu. What is prob of sequence cvu?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/10921000 and -113\/20.\nAnswer: 10921000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-96)*(-48)\/126\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 91*h - 123. Let j(v) = -45*v + 61. Suppose 0 = -4*p + 2*n - 26, 5*n + 10 = -15. Let z(u) = p*j(u) - 4*t(u). Differentiate z(q) wrt q.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -1\/8, -0.3, 554, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u + 9. Calculate c(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 + 352*l**3 + 25674*l**2 - 193040*l + 280600 = 0. Calculate l.\nAnswer: -61, 2, 5, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -93964\nAnswer: 5\/93964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517 = -14*c + 3039. Suppose c*f - 258*f = -120. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 44*h + 15. What is l(-33)?\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 355067*a - 1639. Let k(o) = 866*o - 4. Give 1639*k(i) - 4*v(i).\nAnswer: -894*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.92 at most as big as -772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 0.06, 47 in ascending order.\nAnswer: -3, 0.06, 6, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1318, 3922, 6522, 9118, 11710, 14298?\nAnswer: 16882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g**2 + 4*g**3 + 10*g**2 - 6*g**3 - 23 to the form z*g**3 + q*g + i*g**2 + s and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/60)\/(10\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2137933 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 45*s**2. Let w(h) be the first derivative of -27*h**3 + 7505. Determine v(w(l)).\nAnswer: 295245*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40334721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 1, r: 1, g: 2, t: 1, w: 1}. What is prob of picking 1 w, 1 g, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 25*v + 92. Calculate r(19).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Suppose x - s*b + 4 = 17, -12 = -2*x + b. Let v(r) = -3*r**2 - 3*r + 4*r**3 - x*r**3 + 3 - 3. Calculate v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5857 divided by -4\nAnswer: 5857\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341463 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 3, a: 1}. What is prob of picking 1 g and 1 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148*h + 333*h - 117*h)*(1 - 1 - 3*h).\nAnswer: -204*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9681220 times -1?\nAnswer: -9681220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -962*d + 83*d + 21*d as q*d + i and give q.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -407*x + 1053*x + 1134*x - 2150*x**2 - 125*x**3 - 222 + 89 - 227.\nAnswer: -5*(x + 18)*(5*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 1. Let r be b(2). Suppose r*n + i - 24 = -i, 3*i = 4*n - 15. Solve -2*q + n = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 32. Suppose x = 4*w + 3*n + 2*n, 5*w - 4*n + 10 = 0. Let d(j) = 2*j - w*j**2 - 2*j. Let z(y) = -2*y. What is d(z(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 197529*f - 232. Let j be w(8). Round j to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2037 - 2042. Let b(t) = 3*t - 4. Let z(q) = -4*q + 6. Calculate a*z(r) - 7*b(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) 0 (d) -0.5 (e) -2899 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + (-9 - -7) - (0 + 0). Let d = 11 - 8.5. Let x = d + -2.6. Which is the closest to x? (a) 3 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 75811692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 - 55. Let q(d) = -62*d**3 + 1. Let i be q(-1). Calculate the highest common divisor of s and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c - 4*c + 6 - 4*c. Determine z(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3049?\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -3. Let a(u) = 7*u**3 - 12*u**2 + 4*u - 2. Let z(o) = -23*o**2 - 5 + 17*o**3 + 8*o + 1 - 4*o**3. Let x(l) = g*a(l) - 6*z(l). What is x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 6, e: 4, z: 1, p: 3}. Give prob of sequence dee.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(2\/3))**(-2\/5)*(s**(-1\/5)\/s)\/(s\/(s\/s**1))*(s*s**5*s)\/s*s**(-6)*(s*((s*s\/s**(2\/5))\/s)\/s)**(-3) assuming s is positive.\nAnswer: s**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -55*z**2 + 0*z + 0*z**3 + 0*z**7 - 1\/84*z**8 + 0*z**4 + 0 + 43\/60*z**5 + 1\/30*z**6. Find the third derivative of y(t) wrt t.\nAnswer: -240*t**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1749*k + 14. Let x(o) = -o + 2. What is c(q) - 8*x(q)?\nAnswer: -1741*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -2\/277 (c) -0.01 (d) 0.06 (e) -5 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 973 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1683\/(-34))\/(-3*1\/4). Suppose a = 5*n - 399. Suppose -n = -k - 3*b, 5*b - 21 = 4. Calculate the highest common divisor of 195 and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0*h**6 + 1\/12*h**4 - 4*h + 0 + 0*h**5 + 46\/105*h**7 - 2*h**2 - h**3. Find the second derivative of a(c) wrt c.\nAnswer: 1104*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 641*u**4 - 10164*u**3 - 205200*u**2 + 4781376*u - 23804928.\nAnswer: (u - 12)**3*(u + 21)*(u + 656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 10*k**2 - 3*k - 69. What is p(-11)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a - -38?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/9)\/(5570\/3342)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**3 + 2*x**3 - x**3 - 2 + 3*x**3 - 5*x**2 - 3*x to g*x**3 + f + v*x**2 + p*x and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1073 divide 863765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054257773 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/6 - d**2\/2 - 365*d - 5. Let s(n) = 2*n + 1. What is 2*s(r) + 4*v(r)?\nAnswer: 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/39)\/(2\/(-12))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s + 596. Let d be i(-85). Which is the closest to 4\/105? (a) d (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*l - 14 = 295, 4*o + l = 245. Let n = -152233 - -153392. Calculate the highest common factor of o and n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2 - 0) - -1. Suppose z*x + 2*x = 32. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-165)\/(-6)) - (-230)\/55. Let n(g) = 20*g - 16 - 19 - h*g - 7. What is the units digit of n(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8+-24.8556349\nAnswer: -16.8556349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-8))\/((-1)\/24). Let g = 36 + l. Suppose 2*b - 4 + g = 0. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = -39*n + 29*n - 325 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 4*f**2 - 3*f - 7. Let m be i(5). Suppose m*w = 4*w - 11. Let p = 25 - 7. Calculate the remainder when p is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Let q(a) be the second derivative of 0*a**3 + r*a**2 + 0 - 1\/6*a**4 - a. Let v(g) = -g. Determine q(v(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 39, 544, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2337 + 2649. Calculate the lowest common multiple of 26 and m.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637.5 rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 189\/(0 - 3)*-5. Calculate the highest common factor of 45 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**3\/3 - v**2\/2 - 2*v + 1024. Suppose -2*h + 5*h - 12 = 0. Let p(n) = -3*n**2 - 2*n - 4. Determine h*p(w) - 9*t(w).\nAnswer: -3*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 11, 38, 75, 122?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51\/4 + 12*n - 3\/4*n**2.\nAnswer: -3*(n - 17)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x**2 - 15*x - 2. Let t(l) = 4*l**2 - 14*l - 28. Let c(p) = -p**2 + 4*p + 8. Let b(i) = -14*c(i) - 4*t(i). Give g(b(j)).\nAnswer: 60*j**4 + 30*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/sqrt(112))\/(sqrt(192)\/sqrt(4) + sqrt(3)).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(9\/7)*x*x**4)**47 assuming x is positive.\nAnswer: x**(2397\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -41. Solve 8*m = x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 68 - 26937*v**2 - 37 + 84206*v**2.\nAnswer: 57269*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -0. Let g(v) = v - 1. Let i(k) = -k**3 + 3*k**2 + 4*k + 3. Calculate the smallest common multiple of i(4) and g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1188183 - 125873 = -86*o + 6533874. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29174, -58347, -87516, -116681, -145842, -174999, -204152?\nAnswer: -233301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.62838ml to litres.\nAnswer: 0.09362838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 57 + 37 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 31*q**3 - 16*q**2 + 2*q + 48. Let u be m(-14). Let b = 152613 + u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12517 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 z = -7488 + 7486. Put -7, -10, -9, z in ascending order.\nAnswer: -10, -9, -7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -698*f**2*q - 2*f*q**3 - f*q - 77*q**3 + 1 with respect to f.\nAnswer: -1396*f*q - 2*q**3 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/20 and 63\/1868.\nAnswer: 9340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n**2\/n))\/n)\/n**(-2\/5))**(7\/2)\/(n**(-3\/8)*((n\/n**(-4\/5)*n)\/n)\/n*n**(5\/3)\/(n*n\/(n\/n**(-6)))) assuming n is positive.\nAnswer: n**(-683\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/1600*-12*2\/3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(660)\/(sqrt(1100) + sqrt(1100)*2 - sqrt(1100) - sqrt(11)))\/((sqrt(528)*5)\/sqrt(11)))**2 + 0.\nAnswer: 4*sqrt(5)\/95 + 115521\/7220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.2. Let n = l - -9.2. Let b = -12 + n. What is the second smallest value in 3\/8, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7895 + 8480. What are the prime factors of y?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 53*j - 22*j - 29*j. Let f(n) = -3 + 143*n**2 + 3 - 372*n**2. Calculate h(f(c)).\nAnswer: -458*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 4)*(44 - (1 + 47 + -11))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 223700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18253)\/6*2)\/(-2). Let r = 3035 - c. Find the common denominator of -1\/11 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1102076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 20. Let q be l(9). Let s be -1 + (-22)\/(-1) + 1. Suppose s + q = 3*n. What is the remainder when 50 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -18*((-16)\/6)\/2. Suppose 3*s - s = b. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-212)\/52)\/((-2)\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/(((p\/p**2)\/p)\/p)*(p*p**(-3\/8)\/p)\/p**(1\/7))**(-42) assuming p is positive.\nAnswer: p**(-417\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/345 and 47\/3795?\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3069 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/((-3)\/2). Let d = 27 + -26.9. Let z = -242\/35 - -36\/5. What is the closest to d in 0.4, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(2\/111)\/g)\/g)\/(g\/(((g\/g**(-15\/2))\/g)\/g))*g**(-33)*(g\/(g**43*g*g))\/g assuming g is positive.\nAnswer: g**(-16313\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 159 + 391 - 4*z**2 + (-5 - z + 6 + 0*z)*(-3*z + 0*z + 4*z) as r*z**2 + s + f*z and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5429234.\nAnswer: 2, 2714617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**4*u**2 + 6*d**4*u - 5*d**3*u - d**3 - 21*d**2 + 2*d*u**2 - 14*d*u + d wrt d.\nAnswer: 96*d*u**2 + 144*d*u - 30*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 9) to base 12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2053797*o + 2188665 wrt o?\nAnswer: -2053797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -11.07?\nAnswer: 16.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.6 + 24. Let u be -5 - (-2 + ((-294)\/18)\/7). Which is the third biggest value? (a) u (b) 0.03 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose 3*h - h - 20 = o. What is the common denominator of (26\/h)\/(198\/(-225)) and -43\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 108*q + 151 + 105*q - 211*q. What is the tens digit of n(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 15 - (1 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17741946 and -632.\nAnswer: -17742578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c5 - -2d?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31561 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -15*f + 42. Give l(-3).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4 + 331446*l**3 + 13815363942*l**2 + 6892489349810*l = 0?\nAnswer: -82609, -505, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5589364*-0.2\nAnswer: -1117872.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2\/2 - 10119. Let o(a) be the first derivative of -a**2\/2 + 6*a - 7. Give -2*k(i) - o(i).\nAnswer: -i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -660 and -662 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*12\/(-1080)*-20*(-5)\/(15\/(-57)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 5:02 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 5*i. Let l be w(5). Let x(q) = q**2 + q + 9. Let p be x(l). Suppose -3*f - 3*k = -27, -f = -4*k - k - p. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 189*f - 95*f - 94*f - 53 to d*f + j + a*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25+-3599073465\nAnswer: -3599073440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 128425.\nAnswer: 642125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 1, -3, -13, -35, -75, -139?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -47. What is the nearest to u in 0.2, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -61*a**2 + 26675*a - 7852. Give t(437).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19544 and 3864.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 4*b + 10*b - 672 - 92*b + 73*b + 672.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80940 by -3.\nAnswer: -26980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188*-0.5.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g - 41*g = 531 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2035477*d**4 + 4*d**3 - 103463000*d**2.\nAnswer: 48851448*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1\/1557494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 38. Suppose 2*t - 2 = -3*y + h, 4*y = -2*t + 18. Sort -5, t, 5.\nAnswer: -5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 504182488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001532 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/8*4\/1. Let b be (22\/(-44))\/(-1 + 42\/44). Let p = b - v. Solve 3*c = 2*j - 13, j - 22 = 3*j + p*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/308 and -61\/388608.\nAnswer: 2720256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8435824 is divided by 1161.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*i**2 - 1 - 83*i + 86*i)*(0*i**2 + 7*i**2 - i**2).\nAnswer: -12*i**4 + 18*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.54 times 1120499?\nAnswer: -6207564.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. What is the third derivative of 2*x**6 - x**2 - 9*x**6 + y*x**2 wrt x?\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186c3 (base 15) in base 11?\nAnswer: 54522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 37*r + 616. Calculate the remainder when 838 is divided by w(-15).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*v - 93270 = -93111, -2*v = 5*h + h - 106 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c = 5*v + 110, 2*v + 158 = 5*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 3. Let x(z) = 2. Let h(c) = -2*o(c) + 3*x(c). Let l(q) = -62*q - 73*q - 116*q + 96*q. What is l(h(n))?\nAnswer: 310*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -52588.96 rounded to the nearest 100?\nAnswer: -52600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -566 + 435. Let x = y - -149. Let p be (-2)\/7 + 4\/14. Which is greater: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 21*a**3 + 10*a**2 - 4. Let b(g) = 125*g**3 + 60*g**2 - 25. Let q(d) = 4*b(d) - 25*s(d). Factor q(t).\nAnswer: -5*t**2*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**4\/24 - 5*y**3\/6 + 6*y**2. Let l be m(5). Suppose 3*r = 6 + 3. Solve l = r*s - 0*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -8\/7 (b) 3\/698 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*k**3 - 2*c**3 + 2876*c*k**3 - 237*c*k**2 wrt k.\nAnswer: 6*c**3 + 17256*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 177 + -294. Let n = w - -122. Solve 7 = -n*t + 27 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u - 4. Let p(z) = z + 1. Let x(o) = 4*p(o) + t(o). Let a(h) = 10567*h - 5301*h - 11 - 5269*h. Calculate x(a(l)).\nAnswer: 6*l + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.37 - -1558828.\nAnswer: 1558816.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 14 = -7. Let c(d) = d + 3. Let o(g) be the second derivative of -g**3\/3 - 5*g**2\/2 - g. Let r be -7 + (49\/(-7) - -10). Calculate r*o(v) + u*c(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g + 5. Suppose -3*z = -15, 5*z - 22 = -y + 2*z. Suppose -4*t + y*t - 15 = 0. Suppose -4*q + 0 = -8. Let r(x) = 2*x - 2. Give q*d(s) + t*r(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzoai. What is prob of sequence oai?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 4:07 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 - (-2 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252201245 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-20)\/(-2))\/((-210)\/(-35))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjmjkfqk. Give prob of picking 1 j, 2 m, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*b = 110, 24052*b - 24057*b = 25 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -120, -246, -404, -588?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -68 + 25. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.77 - 0.23. Let f = o - -14.5. Put f, 2, -2 in ascending order.\nAnswer: -2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 4*w - 56, -y + 3*w + 7434 = 7440 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -18, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2. Let c(v) = -2464*v + 192. Let f(r) = -64*r + 5. Let l(q) = 5*c(q) - 192*f(q). Give y(l(w)).\nAnswer: 1024*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 40, 63, 106, 175, 276, 415, 598?\n\"Answer: y**3 + y**2 - y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18371, -36742, -55113?\n\"Answer: -18371*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*z - 16*z**2 + 22*z)*(-z + 3*z + 0*z + (-z + z - 2*z)*(1 + 0 - 2) - 4*z + 3*z + 0*z - 28 - 11*z + 28) to w + n*z**3 + h*z**2 + j*z and give n.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let l be (1\/(-3))\/(3\/(-63)). Let k be (12\/l)\/(2\/7). Solve 0 = z - k + n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2369.765227 + 38.9?\nAnswer: -2330.865227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*41\/(-2255) - 3*(-1)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 14) + 9 + -2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**2 + b**2 + 22*b**3 - 5 + 5*b - 27*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176.61878*-0.3\nAnswer: 52.985634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178679697.\nAnswer: 3, 7, 37, 229961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + -7.97. Let g = -0.61 - -0.11. Sort 1\/5, g, r in increasing order.\nAnswer: r, g, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**2 + 4*w + 20. Let d(p) = -13*p**2 - 5*p - 25. Let m(a) = 5*c(a) + 4*d(a). Let q(k) = 2350*k. Calculate m(q(v)).\nAnswer: -11045000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -53553034700.\nAnswer: 53553034700.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 2, f: 2, n: 2}. Give prob of sequence nn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 718 and 200680.\nAnswer: 201398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-12)\/(-20))\/(55\/25).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -i + 2*i - 52, 0 = -5*i + 2*l + 260. Let z(q) = i*q + 4*q**2 - 52*q + 0*q**2. Let m(o) = o. Calculate z(m(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 372744017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:21 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3022 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -175.82 + 172. Let r = f - 0.28. Let k = 4.1027 + r. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12279942?\nAnswer: 2, 3, 682219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34292 + 34291.8. Which is the third biggest value? (a) 0.3 (b) -1\/7 (c) p (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 29*m**2 + 130*m - 195. Determine r(-33).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 4, i: 2, v: 2, k: 2, l: 3}. What is prob of sequence divk?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 4. Let f be h(2). Let r(x) be the first derivative of -5 + 0*x - 9\/16*x**4 - 7\/12*x**3 + 1\/4*x**f. Factor r(k).\nAnswer: -k*(k + 1)*(9*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1432 - 1434. Sort 3, 0, c, -5 in decreasing order.\nAnswer: 3, 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6558 and 63\/8.\nAnswer: 26232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 23*d**4\/3 - 17*d**3\/6 - 12*d**2 + 121*d. Let r be i(-16). What is r rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5*v - 2723*v**3 - 4 - v + 0*v - 7367*v**3.\nAnswer: -10090*v**3 - 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 1, k: 1}. What is prob of sequence mm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 4*z + 3. Let a be q(2). Is 9 a factor of ((-3)\/(-6))\/(a\/264)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1.0477.\nAnswer: 0.41908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12367215 divided by -25605\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4060)\/(-174))\/(2\/15 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0\/p*p**(-5)*p**(-1\/9)\/p**5)**(-40))**16 assuming p is positive.\nAnswer: p**(64000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/17 - 4479182*z**2\/17 + 8958370*z\/17 - 4479186\/17.\nAnswer: -2*(z - 1)**2*(z + 2239593)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - ((-3 - -6) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55071 and 35237.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syyysysyyyysyy. What is prob of picking 4 y?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let j(h) = 113*h**2 + 142*h - 47. What is p(j(d))?\nAnswer: 226*d**2 + 284*d - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/5)\/(14\/(-210)). Suppose 2*t - 13 = -1. What is the remainder when 31 is divided by ((-9)\/t)\/(x\/(-96))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/(m**(-2\/27)\/m))\/m)\/m*(m**(7\/4)\/m)\/m)\/(m\/m**1)**(3\/22))**(-8) assuming m is positive.\nAnswer: m**(-178\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 928951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 2a?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let p = 98\/3 - 65\/2. Which is the closest to 9? (a) 1\/5 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32.381 and 64.\nAnswer: 96.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 742375635*m**2 + 598038618*m wrt m?\nAnswer: 1484751270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxvzzzvxxzxvxz. Give prob of picking 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 129*g**2 - 2121*g - 17023. Give o(-143).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4104706 - -15?\nAnswer: -4104671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0485 to 2 decimal places.\nAnswer: 2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 403.5043cm?\nAnswer: 4035043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(1862) - sqrt(1862)) + sqrt(1862))\/sqrt(2) + -4)*6.\nAnswer: -84*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1213 - 1223 = -10*s. Let x(l) = -2*l - 10*l**2 - 3*l + 1 + 4*l. Give x(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(11 + -3 + -2*(-221)\/(-52)). Which is greater: -10\/1567 or t?\nAnswer: -10\/1567","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - 2.42. Let p = 0.48 - t. What is the fourth biggest value in -2, p, -5, -1.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(((-15)\/(-27))\/5)\/1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 times -0.1?\nAnswer: 26.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -717?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216 - 11*o + 10*o - 108 - 108.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(8\/5)))\/(h*h\/(h*h**(-1\/3))))\/((((h*h**(-9))\/h)\/h)\/h*h\/((h*h**2)\/h)*h))\/((h**2)**(5\/13)*h*h**(-4)*h**(-2)\/h) assuming h is positive.\nAnswer: h**(3217\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86*k**4 - 2*k**2 - 209 wrt k?\nAnswer: -344*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -776 divided by -2\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(220)\/sqrt(5) + 3) + 5*2*sqrt(539) + 5.\nAnswer: 20 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 408?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1086, 8707, 29396, 69687, 136114, 235211, 373512, 557551?\nAnswer: 793862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -131041746\nAnswer: 52416698.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 398732\/3 at most 132911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/97, 2\/7, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-2 + 2 - 3). Let r = g - 3. What is the third derivative of -j**3 - 5*j**2 + 3*j**2 + r*j**2 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32 + 2)*2\/(-11 + 13). What is the highest common divisor of 1802 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8703886.\nAnswer: 2, 29, 150067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9319*n**2 - n**3 + 1568*n**2 - 7494*n**2 + 1 - n**3.\nAnswer: -2*n**3 - 15245*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**4\/4 + 4*v**2. Let b(h) be the third derivative of h**5\/15 + 2*h**2 + 12*h. What is r(b(i))?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*b - 33*b - 32306 = 0. What are the prime factors of b?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 17. Let b be ((-98)\/(-63))\/7 + (-104)\/(-18). Suppose -4*h - 3*h = b*h. Put -5, h, t in ascending order.\nAnswer: t, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2, -21, -0.057?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 14. Let d = b + 24. Calculate the remainder when (-5)\/(-10) + d\/2 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2053? (a) 3\/8 (b) -1263 (c) -3 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2785*l - 25063. Calculate o(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by ((-1)\/(-2)*-13)\/((-2)\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(440) + -2*sqrt(440)))\/sqrt(11))\/(sqrt(200) + -4*(4*sqrt(200) + sqrt(200))).\nAnswer: -3*sqrt(5)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387 + 549. Calculate the remainder when g is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1763*w**3 + 274*w**2 - 274*w**2 + 5286*w**3 - 1765*w**3 - 1759*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*x = a - 145*x - 15809, -15825 = -a - x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - 52 - (45 + -14 - 10).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5447\/7 - 778. Which is smaller: q or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:37 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -586515.71.\nAnswer: -586515.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -396844, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49062387 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013964 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 35 = 3*y - 0*y, -2*y = t - 22. Let l = -9 + y. Suppose 2*s + 8 = 0, -2*a + 2*s - 6*s = 14. Is l equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 10742969245194.\nAnswer: 10742969245196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/50))**(2\/21)\/(n*n**29*n)**50)**(-30) assuming n is positive.\nAnswer: n**(1627498\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5, -2.9622, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z - 63. Let f be a(20). Sort 0, f, -2 in descending order.\nAnswer: 0, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Suppose 4*r = 3*m + 26, 5*m + 106 - 76 = 4*r. Let f be (20\/(-6))\/((-6)\/9). Sort m, 3, f, p in ascending order.\nAnswer: m, p, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1000300 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:27 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(363)*-1 + sqrt(363) + sqrt(363) + 4)**2.\nAnswer: -22*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 + 68*r\/7 - 960\/7.\nAnswer: -(r - 48)*(r - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26912678.\nAnswer: 2, 13, 149, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699659 is divided by 349646?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12650 and 3450?\nAnswer: 37950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -0*o + 21. Sort 2, 1, o in decreasing order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33314341 (base 5) to base 7.\nAnswer: -2323602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 2 - 2 + 41*o**2 + 68*o**2 + 13*o**2. Is d(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -17 + 0 - (12\/2 - 4). Do -20 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from bbabbbabaaabbaabaa.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 5:54 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 5*j**4\/4 - 4*j**3\/3 - 2. What is the third derivative of t(z) wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjocyocyoocjyooomcj. Give prob of picking 1 m and 1 c.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9 + -17042?\nAnswer: -17055.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, 8, 0.0678?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 57, 113, 203, 333, 509, 737?\n\"Answer: j**3 + 8*j**2 - 3*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Suppose 0 = 2*o + 4, -2*q + 6*o = o - 14. Let a(l) be the second derivative of 0 + 0*l**q - 2*l - 1\/6*l**3. Calculate k(a(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(4 + sqrt(72)*1 + sqrt(72) + sqrt(72)) - (-4 + 2 + sqrt(72) - (-3 + sqrt(72) + 5 - sqrt(72) - sqrt(72))))**2.\nAnswer: 1056*sqrt(2) + 8776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2\/17, 2\/3, -0.3, -40 in descending order.\nAnswer: 2\/3, 1\/4, -2\/17, -0.3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, -50\/17, -14, 14?\nAnswer: -50\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 - -0.01. Let v(l) = -3*l + 27. Let i be v(17). Let s be -3 + 14\/5 + i\/5. Which is the second smallest value? (a) s (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - -2.91. Let s = 6.4 - 6. Sort w, s, 5.\nAnswer: s, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 10*k**2 + 0 + 0*k + 1\/8*k**4 + 1\/2*k**3. Let a(s) = s**3 - 15*s**2 + 13*s + 11. Let l be a(14). Determine z(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -8, -3 in ascending order.\nAnswer: -67, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1698, -3397, -5096, -6795, -8494, -10193?\nAnswer: -11892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181 + -31. Suppose -6*j + s = -0*j. Suppose -4*f + 3*w = -390, 106 = 2*f - w - 90. Calculate the remainder when f is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5416382*d**2*l**2 - 23*d**2*l - 2*d**2 + d*l - d - 111591 wrt l?\nAnswer: 10832764*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 272*c - 17098. Calculate d(60).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 7*z + 9. Calculate w(-6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4 times -2.276804?\nAnswer: 28.2323696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*l*o - 122853*l - 10880*o with respect to o.\nAnswer: -10*l - 10880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5b0 (base 16) to base 11\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -7*j - 15. What is the least common multiple of j and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42401 or 15?\nAnswer: 42401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -50*d**2 - 9*d - 1. Let w(p) = -50*p**2 - 9*p - 2. Let z(f) = -3*i(f) + 2*w(f). Is z(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 172*l*m**3*x**2 - 3*l*m**2*x**2 + 38*m**3*x**2 - m**2*x**2 wrt l.\nAnswer: 172*m**3*x**2 - 3*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/((-222)\/(-1665))*21\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 13*n**2 - 31*n + 45. Determine x(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10977, -10935, -10865, -10767, -10641, -10487, -10305?\nAnswer: -10095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81904?\nAnswer: 2, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let y(t) = 2*t**3 - 4*t**2 + 10*t + 3. Let j(m) = -m - 1. Let h(o) = -6*j(o) - y(o). Calculate h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**3\/6 - 41*b**2\/2 + 4160*b - 2. Calculate g(-34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179205 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) 5 (b) -7 (c) 0.07 (d) -14 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13760700 rounded to the nearest 100000?\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/20 of a centimeter?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66, 36, 6, -24?\n\"Answer: -30*y + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1425)\/(12*165\/(-132))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136874, -136879, -136884, -136889?\nAnswer: -136894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61476?\nAnswer: 2, 3, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 732192656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19993, 0, 2 in ascending order.\nAnswer: -19993, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -19029?\nAnswer: -19025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**3 + c**2 + c - 1. Let h be s(1). Suppose -h*b + 264 = -4*b. Suppose 0*v = -2*v + b. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -12\/17, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 2*s - 2. Let d(z) = -3*z - 2*z**2 - 2*z + 2*z - 4. Let y(v) = -3*d(v) + 7*q(v). Let x = 554 + -557. Give y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(-13\/3))\/(s**(1\/10)*s)*(s*s**(1\/3))\/(s*s**(-16)))**(-4\/11) assuming s is positive.\nAnswer: s**(-278\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/252*((-6)\/(-9))\/(11\/(-18)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/3 + 1 + -4. Let m(z) = 6 + j*z - 13 - z. Calculate m(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 428*v - 4348. Determine g(14).\nAnswer: 1644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1280576)\/(-1920963) - (2 + (-8)\/6). Let i = t - 4831465\/1397064. Calculate the common denominator of 133\/6 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is a603 (base 13) in base 15?\nAnswer: 6c27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07434952 and -904.159.\nAnswer: -904.08465048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*c - 2760004, 5*c + 4022041 = 2*u + 1262036. Suppose 20*h - 23*h + u = 0. Round h to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1407*x. Let i(o) = 99*o - 1. Give a(i(s)).\nAnswer: -139293*s + 1407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (51\/(-9))\/((-112)\/672). Solve 0 = 25*u - y*u + 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67927122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 2*c - 2*c**3 + 5*c**3 - 3*c**3 + 3*c**3 + (2 + 4 - 5)*(3*c**3 - 5*c**3 - 9*c**3) as t*c + n*c**3 + o + g*c**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59006057 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((29 - (-1411)\/(-17)) + 5*2)\/2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -287, -0.4, 2 in increasing order.\nAnswer: -287, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - (-8 - -14)) - -18 - 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*p + 10, -5*p + 4*b = -10*p - 11. Let d be 7 + -6 + (0 + -50 - p). Let g = 17 - d. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/12051, -1\/2, 14, -5\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 89 - 29 = 0. Suppose 2 = -3*h + y. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -2*u + 1\/45*u**6 + 8\/9*u**3 - 7\/3*u**2 + 5 + 1\/3*u**4 - 4\/15*u**5. Factor v(a).\nAnswer: 2*(a - 7)*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 + 85 - (9 + 13 + 3).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*q - 8 = 0, -1 - 7 = a - 4*q. Let m(i) = -3*i**2 + 21*i - 13. Let w be m(6). Sort w, -5, 0, a.\nAnswer: -5, a, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**6\/30 + b**4\/12 - b**2 + 5. Let r(c) be the second derivative of g(c). Find the second derivative of r(f) wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 equal to -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -104937630, -209875258, -314812886, -419750514, -524688142, -629625770?\n\"Answer: -104937628*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*u + 184*u - 7 = 374*u + z, 5*z = 7*u + 61 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/102 and -31\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -968850 rounded to the nearest 10000?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, 5, -402, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 65, -7, -3 in descending order.\nAnswer: 65, 5, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.03 (c) -10.2944\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 438 = -17345304*g + 17345293*g, 5*g + 206 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50039222801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 7*b + 4. Let v(d) = -6*d**2 + d + 4*d + 21*d**2 + 5. What are the prime factors of v(b)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 102 - 40 - 97 + 211 + 4*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 126259.38 milliseconds?\nAnswer: 2.104323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22 - -3)\/(1\/(-18)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 240242?\nAnswer: 240242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5\/2 + 13*t**4 + 63*t**3\/2 - 781*t**2 - 32*t + 768 = 0.\nAnswer: -16, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -30 - 30 - 30 + 89. Let k be -5 + 3 - (33 - -1). Let g(n) = -6*n - 36. What is k*c(m) + g(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*r*s**2*z + r*s**2 - r*s - 50*r + 2*z with respect to s.\nAnswer: 26*r*s*z + 2*r*s - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 0 + 0 + 0. Let g = 1.1 - 1. Let j be ((-3)\/(-20))\/((-369)\/(-328)). Sort q, j, g.\nAnswer: g, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69824974 to the power of 1\/2, to the nearest integer?\nAnswer: 8356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2 + 6774531*r - 54196440 = 0. Calculate r.\nAnswer: -2258185, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 + 3268*p + 36432 = 0. Calculate p.\nAnswer: -11, 828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -73004686.\nAnswer: 73004685.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11247 and 4890?\nAnswer: 112470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (77\/(-28))\/((-1)\/(-4)). Put 4, h, -4 in decreasing order.\nAnswer: 4, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -29 + 8 + 43.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -318376.\nAnswer: 63675.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:31 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13672033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77*g*x**2 + 74*g - 2*x wrt x.\nAnswer: -154*g*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24030778.9 - -24030763.9000021. Let j = -0.07 - 14.93. Let b = j - r. Round b to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*l = -24. Suppose 2*y = 2*b - 2*y, 0 = l*y - 4. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f. Suppose -4*w - 2*w + 24 = f. Suppose 0 = -w*z + 2*z + j + 40, -z - 2*j = -10. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796395 to the power of 1\/2, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*x - 35 = 474*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93464, 4, 91 in ascending order.\nAnswer: 4, 91, 93464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -17) + (1306 - 1270) + 27.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -333527, -17 in decreasing order.\nAnswer: -2, -17, -333527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1683.48842 rounded to the nearest 10?\nAnswer: -1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10924758 and 780?\nAnswer: 109247580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -14775\/10541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86179 is divided by 459.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*j**2)*(-61*j - 81*j + 140*j + 9).\nAnswer: -4*j**3 + 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*b**4 + 2*b**3 - 757*b**2.\nAnswer: 3624*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 340*g*z**2 - 155*g - 19*z wrt z?\nAnswer: 680*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6422*u**4 - 4571*u**2 wrt u?\nAnswer: 154128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154951 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + 0 + 27 + -21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 - t - 16. Let w be v(11). Let z = 1191 - w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/1 - 174\/(-40) and (3\/(-30))\/(6\/(-1395))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14212903, 14212904, 14212905, 14212906?\n\"Answer: d + 14212902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - a2c?\nAnswer: -a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57235513 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l + 1716 = -0*l + 33*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3358 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 6. Let p(x) = -4*x - 17 + 20*x - 5*x - 8*x. Determine -6*p(h) - 17*u(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -15*j + 26. Let d be ((-22)\/66)\/(10\/45*2\/(-8)). What is q(d)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 22460*j - 3512. Determine k(0).\nAnswer: -3512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y + 3, -169 = -s + 5*y. Suppose 5*b - s = -5*i - 69, -4*b + 4*i + 120 = 0. What is the greatest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 25 = 5*u, 3*p - 3*u + 15 = 7*p. Sort -5, p, -8 in decreasing order.\nAnswer: p, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 77*c + 13*c + 837 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 2. Let u be s(6). Suppose 3*z - 19 = 4*c, -c + 0*c = -3*z + 25. Suppose -u*x + z = -x. Solve x*j - 15 + 0 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 8224164?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + y - 1 = 0, 2 + 14 = 4*l + 4*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-63)*(208\/60 + (0 - 3)). Let z = -3 - -3.5. Let r = 1.7 - 5.7. What is the nearest to -0.1 in z, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/45 + ((-182820)\/54)\/(-10). Is u at most 335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1025 - 964. What is the remainder when 1340 is divided by u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 951102 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 20, -5*x - 48 - 148 = -2*c. Let u be (-446)\/10 - ((-48)\/5)\/16. Let o = u + c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19\/22 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 9:42 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1048837 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16940, -67889, -152820, -271739, -424652, -611565, -832484, -1087415?\nAnswer: -1376364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dccc when four letters picked without replacement from addacdcdddcd?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 3526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -93*o + 3289. Calculate g(36).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 10*f + 11. Let w be b(-9). Suppose 3*u + w*u - 140 = 0. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 6*h - 14. Let f(j) = -j**2 + 3*j + 7. Let y(t) = 11*f(t) + 6*k(t). Calculate y(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1089828 weeks to days.\nAnswer: 0.7628796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104025 and 5853900.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t + 441 = 5*r, -3*t - 264 = -3*r. Suppose 210 = 11*x + r. Solve -3*p + x*p = 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -0.1, -14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 91. Let x(a) = -7*a**2 - 19*a + 18. Let l(p) = -3*p**2 - 10*p + 9. Let t(m) = -9*l(m) + 4*x(m). What are the prime factors of t(n)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = 3*o. Find the first derivative of -b + 4 - 2*b + 0*b - o*b wrt b.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202714 - 194088 = -227*k for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 39 + 171 = 0. What is the greatest common divisor of h and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + o + 0*o + 31*o**2 - 22*o**2)*(-2*o - 2*o + 5*o).\nAnswer: 2*o**5 + 9*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 2*n - 5. Let v(w) be the first derivative of w**2\/2 + w + 2017. Let s(d) = d + 3. Let a be s(-2). Determine a*z(h) + 3*v(h).\nAnswer: h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -165\/194 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.0508662 to one dp.\nAnswer: 66.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 7421?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 870352380 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152078*c**3*v**3 + 86*c**3*v**2 - 3*c**2*v - 4*c**2 + 4*c*v**3 - 38*v**3 + 3*v - 1 wrt c?\nAnswer: -912468*v**3 + 516*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -62. Let s = 91 + -817\/9. What is the third biggest value in y, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**5 - 4*q**4 + 6*q**3 - 4*q**2 - q - 2. Let h(p) = p + 1. Let t(u) = 2*h(u) + y(u). Factor t(c).\nAnswer: c*(c - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -3 (b) 2 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Let r = z + -2. Let f(k) = -k**2 + 21*k - 22. Let n be f(20). Do n and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from clr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 7. Let f be (-30)\/(-8) - (-3)\/12. Let q(p) be the third derivative of p**4\/8 - p**3 - 43*p**2. Determine f*o(u) + 5*q(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 6) to base 7\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y. Let q(s) = 30*s**2 + 12*s + 3. Let i(h) = 451*h**2 + 176*h + 44. Let k(u) = -3*i(u) + 44*q(u). Give k(m(f)).\nAnswer: -1188*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 45388*i + 362848.\nAnswer: 4*(i - 11339)*(i - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529 + 153 - 14*p + 43*p.\nAnswer: 29*p - 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49155623 by 2137201.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 47 - 41 + 157 - 69.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-3)\/(-9)*888. Suppose -3*r + 403 = -d. What are the prime factors of r?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r + 25 + 7*r + 66 + 13 - 19.\nAnswer: -19*r + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 938063924 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10*i**4 - 5*i**3 + 67*i**2 + 17*i - 117. Let p(z) = -z**2 - z + 1. Let a(n) = m(n) - 3*p(n). Find u, given that a(u) = 0.\nAnswer: -2, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*a - 4*a. Let u be a\/(-22) + (-60)\/275. Let c(i) = 6*i + 7. Let h be c(-1). Is u not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/37 or 48?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000062512 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -9209\/1070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-99)\/6)\/(12\/80). Let o = d - -114. Let q be (-1)\/4 + (-21)\/(-4). Sort -3, q, o in ascending order.\nAnswer: -3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2349*c*v + v + 544 wrt c?\nAnswer: -2349*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 6 = 0. Suppose -4*j = -2*j - 6. What is the second derivative of -2*y**j - o*y + 2*y - 2*y**3 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1212023021 (base 4) to base 9\nAnswer: -707065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 489*v**3 + 11*v**2 - 890*v**3 + 775*v**3 - v**2 + 549*v**3.\nAnswer: 923*v**3 + 10*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 7*m**2 + 19*m - 95. Let q be l(8). Sort q, 7, 1, 2 in ascending order.\nAnswer: q, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-3))\/(1 + 2). Let i be (8\/12)\/(1\/1). Which is the nearest to -0.1? (a) -2\/15 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m**4 - m**3 - 77*m**2 + 767*m - 1 wrt m.\nAnswer: 168*m**2 - 6*m - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/5 (b) -3\/32 (c) 3 (d) -0.1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 + 7)*(5*v - v + 0*v) to o + b*v and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 109378\/(-7) + 4*(-5)\/(-20). Let x = k + 15582. Are x and -42 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0. Let n = 8.019 - 0.019. Let o = -8.2 + n. Which is greater: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -9\/152283182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 10*z + 5*h = -16, 4*z - 5*h = 61. Let s be ((-70)\/(-21))\/(6\/z) - 1. Let j = 0.5 + -1. Which is the biggest value? (a) s (b) 5 (c) -4\/9 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 223*s - 215*s - 22088. Let q = s + -1379. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.077 - -0.04516. Let y = h - -0.0316. Round y to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 - 24*i**2\/5 - 21*i\/5.\nAnswer: -3*i*(i + 1)*(i + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1, 6 in descending order.\nAnswer: 6, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c - 74*c + a = -4*a - 21104, 0 = -3*a. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817*r + 15386 - 20604 = -154212 for r.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331944.2 centuries in decades?\nAnswer: 3319442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73796, 295147, 664064, 1180547?\nAnswer: 1844596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 26*z - 3. Let q be y(7). Suppose 0 = 3*x - 5*n - 191, 2*x - 2*n - q = -x. Suppose 4*c = -1 + x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -92, -194, -360, -608, -956, -1422?\n\"Answer: -3*u**3 - 5*u**2 - 20*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-4) - 2 - ((-4)\/(-13) - 8961\/(-1339))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 - (-227 - (7 - 2)). Calculate the highest common factor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103053?\nAnswer: 3, 34351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4 + 256*c**3 + 22654*c**2 + 802560*c + 9828225 = 0. Calculate c.\nAnswer: -95, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/9 - 20*n**3\/3 - 166*n**2\/3 - 740*n\/9.\nAnswer: 2*n*(n - 37)*(n + 2)*(n + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 46, 70, 94?\n\"Answer: 24*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -119*b**4 + 2*b**3\/3 + 34*b - 65. Find the third derivative of i(f) wrt f.\nAnswer: -2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 13*k + 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 17. Let v(q) = -q**3 - 18*q**2 + q + 21. Let i be v(-18). Solve -4*p + i*p = w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(228)\/(sqrt(12) + sqrt(192)*-2) + 1.\nAnswer: -sqrt(19)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -179, -709, -1591, -2825, -4411, -6349?\n\"Answer: -176*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = 0, 3*n + 3*o = 27 + 6. What is the highest common divisor of 208 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.4 + -9.6. Let u = -21 - j. Let l = 20.999987 - u. Round l to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 384244?\nAnswer: -384243.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -2. Suppose 2*t - 5 - 1 = 0. Suppose t*n - 4 = -1. Calculate the smallest common multiple of y and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3300115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - -126. Let x = l + -180.5. Put 0.16, x, 4, 0.4 in decreasing order.\nAnswer: 4, x, 0.4, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814 = -88*p - 480 + 810 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -388, -415, -464, -541, -652?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**6\/960 - 11*q**5\/320 - q**3\/3 + 13*q + 6. Let z(a) be the third derivative of w(a). Suppose z(j) = 0. Calculate j.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1555, -1544, -1531, -1516?\n\"Answer: v**2 + 8*v - 1564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -36\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 times -255?\nAnswer: -56865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1))**(6\/35)*y**1\/y**2)**30)**(-9) assuming y is positive.\nAnswer: y**(2214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*((sqrt(540)\/(1*sqrt(12)) + sqrt(45))**2 - (sqrt(45) + (sqrt(45) + (sqrt(90)\/sqrt(2))**2)*-2))*-3.\nAnswer: 45*sqrt(5) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*g + 13 = 0, u - 2 + 5 = 5*g. Let o = 4 + u. Suppose -o*f = -2*f - 40. Solve 0 = -5*p + 3*k + 10, -p + 4*k - k - f = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*i**3 + 300*i**3 + 18*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45275512 - -2?\nAnswer: 45275514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22158523 or -22158533?\nAnswer: -22158533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 72917 = 13*b + 2*r, -5*r + 121520 = 5*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026843385 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35066 is divided by 17414.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -333 + 229. Let q = -102 - j. Which is the third smallest value? (a) q (b) 5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n - 2. Let c = 214 + -142. Let a(j) = -c*j - 69*j + 210*j - 68*j. Let i(r) = r**2 - 1. Let g be i(0). Calculate g*l(o) - 2*a(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810 and 240?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, -23, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r + 4. Let u be z(0). Let n be (2 + -3)*(-2 + u) + 3. Solve -l - 5*j - 7 = 0, 2*l = -l + 5*j - n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 70?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000791 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 443 - 443.8. What is the nearest to 0 in -1\/6, u, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 52. Suppose 17*r = 3*l + 21*r - 14, 0 = -4*l + r + 44. Let b = j - l. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3391240 is divided by 4433?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/(3492\/(-870) - -4). Let f = t - -7. Calculate the least common multiple of 16 and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(300)*3*3 + sqrt(300)) - sqrt(300)) + 0 + -2.\nAnswer: -100*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 4*sqrt(68)\/sqrt(4) + -1 + ((1 + sqrt(612))*3)**2.\nAnswer: 113*sqrt(17) + 5516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**2 - 70*m - 65 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -553669798\/5 <= -110733959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4350889722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 486*a**2. Let k(c) = 2968*c. Determine r(k(y)).\nAnswer: 4281185664*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmqmqaqaqhmq. Give prob of picking 3 q and 1 h.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let d(c) = 8*c**2 + 3. What is d(r(l))?\nAnswer: 8*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292328112 to the nearest integer?\nAnswer: 17098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -164 and -3.11?\nAnswer: 160.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/7 - 48612*n\/7 - 196927212\/7 = 0. What is n?\nAnswer: -8102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1848852 and -47\/57240.\nAnswer: 18488520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14*m - 9. Let p(d) = 5*d - 3. Let n(o) = 6*k(o) - 17*p(o). Suppose 54 = -0*b - 18*b. Determine n(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1230, 2, -5, 1, 5 in decreasing order.\nAnswer: 5, 2, 1, -5, -1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -45*f**2. Let u(c) = 133*c**2 + 768*c. Calculate u(y(a)).\nAnswer: 269325*a**4 - 34560*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 539*l**3 - l**2 - 5*l + 6. What are the prime factors of c(1)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*88\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7891, 7885, 7869, 7837, 7783?\n\"Answer: -w**3 + w**2 - 2*w + 7893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 10. Let w be c(13). Suppose w*t = 33*t - 64. Solve 9 + t = -5*h, -x - 3*h - 16 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r - 2. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 208*n + 1753. Determine w(9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*z - 38 = 4*a, 3*a - z = -77. What is the units digit of (-6)\/a*15*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 170 = 4*p, -23*p + 242 = -19*p - 5*k. Let f = 223 - 117. What is the highest common divisor of p and f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 16*d**2 + 43*d + 27. Determine h(-11).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23389799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 3*q**2 - 12*q + 68. Let s be r(6). Let n be (1 - 0)*-2*-51. Let v = s - n. Solve -v*k = -k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.568.\nAnswer: -3.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1152*o - 236002. Determine l(205).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249075 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/22050 and -101\/126?\nAnswer: 22050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -25\/9 (b) -3\/7 (c) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 32. Let g be 8\/(-6)*(-357)\/28. Let t be v(g). Is t bigger than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 78 = -3*v, 5*v + 25 + 85 = 2*l + 4*v + 6*v for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11014271 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -96.57 from -1486.5764447.\nAnswer: -1390.0064447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 + (-162)\/(-45). Solve v*b = -5*h - 16, 2*h + 5*b + 16 = -4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 + 15*d + 13. Calculate f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1998420.\nAnswer: 2, 3, 5, 19, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(4*sqrt(3)) - (sqrt(539) + 1))*-6.\nAnswer: 6 + 81*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44443 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 805\/8 or 101?\nAnswer: 805\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/8))**(-7)*((w*w\/(((w*(w\/((w**7\/w)\/w))\/w)\/w)\/w)*w)\/w*w)\/w**(3\/4) assuming w is positive.\nAnswer: w**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-2) + 10\/5. Let v = 489.3 + -491.3. What is the smallest value in d, v, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 + 144 - 2*x - 423 + 138.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*l**3*t**4 + 3*l**3 - 22*l**2 + 172*l*t**4 - 79*l*t - 3 wrt t.\nAnswer: -432*l**3*t**2 + 2064*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:34 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6452 divided by -1890?\nAnswer: 3226\/945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*u**6 - 1541*u**2 + 76 - 3 + 1542*u**2 wrt u.\nAnswer: -4800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*c + s = -s, -30*c + 0*s - 5*s + 160 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 = -6. Suppose 0*g - d*g + 16 = 0. Calculate the highest common divisor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 + 0.08. Let i = 0.4 - x. Let h be (-30)\/(-8) - 1\/(-4). Which is the second biggest value? (a) h (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175078697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.2 (b) -0.5 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -39478, 0.99?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18727660 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1940187101 <= -1940187101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7846953 and 240639892.\nAnswer: 721919676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-35))**5 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 36.7?\nAnswer: -11.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - (-19)\/(-1) - -4. Let h be 48\/2*(-6)\/m. What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/4 - -2 - -5. What is the greatest common factor of 18 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6880.669491 to the nearest integer.\nAnswer: 6881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58824, -235333, -529516, -941373?\n\"Answer: -58837*s**2 + 2*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 25*j - 42. Calculate w(-2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 - 4.4. What is the third smallest value in -2\/5, 2, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109*x**4*y*z + 6*x**3*y + 3*y*z - 3*y + 15 wrt x?\nAnswer: -436*x**3*y*z + 18*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 201?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/(21\/(-15680)*5). Calculate the highest common divisor of i and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (619 + 711 - 511)*(-2*m**2 + 5 - 5).\nAnswer: -1638*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 24 = -4*m, 0 = -5*w - m + 4*m + 212. What is the remainder when (-950)\/(-6) - (8\/(-12))\/1 is divided by w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30173988740 + 5?\nAnswer: -30173988735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2072605?\nAnswer: 5, 414521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12864*c**4 + 7*c**3*h - 5*c**2*h + 200084*c + 51*h wrt c.\nAnswer: 154368*c**2 + 42*c*h - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = 0. Let v(k) = -3*k + 11. Let b(a) = -a + 5. Let n(h) = 5*b(h) - 2*v(h). Is n(f) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(2\/5) + 2. Suppose 3*t - m*t + 20 = 0. Let n be 51\/t + 2\/(-10). Solve 5*j = 2*h - n, 3*j + 6 = -5*h + 2*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 435.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 = -3*f. Suppose 5*j - f = 15. Let i(l) = l**2 - 4*l - 2. Calculate i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*440\/(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -27, -56, -97?\n\"Answer: -6*p**2 + p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + -24?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45022 is divided by 61.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/10 and 125\/11933616?\nAnswer: 59668080","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 977.557 + -978. Let d = -8.8 + 8.757. Let s = a - d. What is the third biggest value in s, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*w + 127832 + 69540. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**6\/180 + 2*l**5\/45 + 47*l**2. Factor v(c).\nAnswer: 2*c**2*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.41 - -0.61. Sort o, -2\/5, 0, -4\/7 in ascending order.\nAnswer: -4\/7, -2\/5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*r - 209*r + 69*r + 70*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9040*t + 8478*t + 919860 = -96184 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -313, 4\/29, -0.6?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 4*g + 3. Let u be t(-2). Let l = u - 0. Let m be 0 - (-1)\/(l\/3). Solve 9*r + 18 = -2*p + 6*r, -m = -5*p + 4*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 9*z - 8. Let q be r(-4). Let w be (-2)\/12 - q\/((-48)\/(-26)). Solve 5*o = 3*i + 34, -19 + 5 = -w*i - 4*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.445 and 832?\nAnswer: -1202.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {s: 16, a: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -21.5?\nAnswer: -0.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1230 (base 4) to base 14.\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*y - 104 = 120*y - 244*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 10*l - 4*l - 4*l - 228 + 2*l to v*l + r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1740)\/200 + ((-16)\/(-5) - 3) and (694\/132 - 1) + -3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6361667\/230 less than 27658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Suppose 0 = -0*i + i - 6. Let d be p(i). What is the greatest common factor of d and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133969, 133762, 133569, 133396, 133249, 133134, 133057?\nAnswer: 133024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 6*d + 7. Let a(w) = 3*w**2 - 17*w + 20. Let z(o) = -2*a(o) + 7*u(o). Suppose 20 + 16 = 2*i. Suppose 8*k - 5*k = i. What is z(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 247 = -303. Solve -5*b = -3*l + c*l + 15, 0 = -4*l + 5*b - 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 684 = 2*z + 3383, 3*z - 6 = 0. What is the remainder when c is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266964328 divided by -2.\nAnswer: -133482164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 0. Let m be ((-24)\/9)\/4*y. Suppose -273*r + 12 = -268*r - h, 4*h - 15 = -r. Calculate the greatest common divisor of r and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*c - c = 25, -3*n + 17 = 2*c. Let t(o) = -o + 5. Let h be t(9). Calculate the lowest common multiple of n and (-62)\/(-8) - h\/16.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -149683\/32 - -4678. Let h = -1\/32 + s. Let r = 1\/100 - -187\/1300. Which is the nearest to 1? (a) -0.4 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -13 in descending order.\nAnswer: 11, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 349180 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1860*n + 3472*n - 206*n**3 + 3 - 1612*n.\nAnswer: -206*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -1248528?\nAnswer: 1248528.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppipppppppppppippiip. What is prob of picking 2 i?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d2 + -1a?\nAnswer: -ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**2 + 0*m**3 - 1\/10*m**5 + 0*m**4 - 3*m + 0 + 1\/15*m**6. Let b(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from jawaaawajwjj?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598, 1205, 1814, 2425, 3038, 3653?\nAnswer: 4270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**3 + n**2. Let m be w(-1). Let q = 11 - m. Let u = 146 + -146. Put u, -6, q in descending order.\nAnswer: q, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 7690.43632.\nAnswer: 7697.43632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p**2 + 80*p - 2423. Is f(96) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-9)*(-1 - (-11)\/7)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1159 and 34380393.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 7:36 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*s = -54*s - 1192 + 1192 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqdqqddddqhd. Give prob of sequence hqqd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65640 and 82050?\nAnswer: 328200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19016, 25987, 32958, 39929, 46900, 53871?\n\"Answer: 6971*i + 12045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 9:47 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -118, 2.79, 2\/7, 3\/7, -2 in descending order.\nAnswer: 2.79, 3\/7, 2\/7, -4\/3, -2, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 11:11 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 845*s = 841, 2*j + 6*s = 4*s - 5 + 19 - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 m when four letters picked without replacement from hhmhhhhmmmh.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21031503 * -0.18.\nAnswer: -3785670.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + c = 2*g + 65, 5*g - 95 = -4*c. Let v(a) = 2 + 0 + a**3 - 19*a - 13*a**2 - 10. Is v(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*g**2 - 32\/3 + 20\/3*g.\nAnswer: -2*(g - 8)*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + u + 19 + 62 = 0, -3*v + 1083*u - 1078*u = 11 + 32 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1985 - -2018 - (-9)\/(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 793848902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9 - 4 - 7 + 55*j - j - 1. Determine c(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*m = x + 34, m = 0. Suppose -p - p = -x. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175729806 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 7. Let j(n) = n - 4. Suppose 2*a - 3*p - 45 = 7*a, 3*p = -15. Calculate a*i(t) + 11*j(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543666265 is divided by 3141?\nAnswer: 3139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -11) + (289 - 318).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 30\/53, -4?\nAnswer: 30\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141279 + -206119. What is m rounded to the nearest 1000?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1578931996 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 747 divide 987871644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 7. Let t be x(-3). Let y be t\/55 + 68\/(-132). What is the nearest to y in 5, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**3 + 3*i**2 - 2*i**2 - 2*i**3. Let d(r) = -5*r**3 - 10*r**2 - 3*r. Let y be d(3). Let p be (-270)\/y + (-2)\/13*1. Calculate g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814990 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.5 + -10. Let d = 159.2 - 98. Let b = -61 + d. What is the second biggest value in b, -4, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 2*b - 2*b)*(14*b**2 + 3*b**2 - 6*b**2) - 7*b**4 + 3*b**4 + 3*b**4 + (b**2 - 2*b**2 + 2*b**2)*(3*b**2 + b**2 - 2*b**2).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4628*f - 27764. Determine q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l**2 - 2. Let w be x(2). Let m = 145 - 120. Calculate the greatest common factor of m and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -389, 3, 22, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 632458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402040304 + -4?\nAnswer: 402040300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 - 1.3. Let k = -5.06 - -0.06. Let u = -6 - k. What is the biggest value in y, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 6*x**3 + 144*x**2 - 378*x + 243.\nAnswer: -3*(x - 3)**2*(x - 1)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.35552 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 20*g + 76. What is the least common multiple of s(28) and 36?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 5. Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 335?\nAnswer: -6\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1196\/5 or -238?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.019173484 and 0.3.\nAnswer: -0.0057520452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 87741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.1. Let w = 0.15 + k. Let a = w + 0.0454. Round a to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 0.5, 2, 6, -34 in ascending order.\nAnswer: -34, 0.5, 2, 6, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 1 + 3. Suppose -d*s + 60 = 6. What is the lowest common multiple of 7 and s?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 7, z: 3, m: 8}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*c + 132*c + 556 = 0. Calculate the remainder when c is divided by 57.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*g = -l - 7, g = -l - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 585675\/1368 + ((-18)\/16 - -1) and 4?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -1\/18*d**3 - 81 + 11\/3*d**2 - 242\/3*d. Let o(q) = 0. Calculate q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 9) to base 2\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1 + 172060\/24. Let p = -7187 + c. Find the common denominator of 23\/18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 28 = -2*h, -h - 2*h + 5*l + 37 = 0. List the prime factors of (-1 + 2)*h + 706.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 + 7*u)*((0*u**2 - 5*u**2 - 6*u**2)*(-2*u**2 - 4*u + 4*u) - u**4 - u**2 + u**2).\nAnswer: 147*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*d + 27. What is the remainder when d is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10203518\/79 and 129158 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (-23 + 21 + 26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 27, 2, -5 in increasing order.\nAnswer: -5, -3, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1949*j - 4485 = -2018*j for j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.62334mm?\nAnswer: 623340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2382*v**4 - 2*v**2 + 334 + 2056*v**4 + 27 wrt v?\nAnswer: -7824*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 - 37108*c\/9 - 24736\/3.\nAnswer: -2*(c + 2)*(c + 18552)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 29*k - 27. What is s(-16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:26 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43977)\/(-2247) - (-4)\/(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {a: 7, m: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 187660.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -915, -913, -911, -909, -907?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 126438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/((-68)\/1632). Suppose -3*h + 3875 = 4*i, q*i = 7*i - 5*h + 973. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.65138 milligrams in tonnes?\nAnswer: 0.00000003665138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 17. Let g = 35 - m. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.031606 and -16974.8.\nAnswer: -16974.768394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257 is divided by 126?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.862 and -89.41051331.\nAnswer: -90.27251331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**4\/12 + 7*l**3\/6 + 4*l**2 - 440*l + 1. Calculate j(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49416\/71)\/(-87) - 318\/(-39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.37138753 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161439790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/15 + (-2)\/2. Let o = -3.95 + 4. Let i = 0.15 + o. Which is the closest to -1? (a) k (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f + 30 + 175 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 4*s**2 - 2*s**2. Let k(z) = -15*z + 5. Let h(j) = j - 1. Let q(i) = 5*h(i) + k(i). Give x(q(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/6*(-8)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2225 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -22*i - 138 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -4)*(-1 - -2). Suppose -n*x = -114 - 126. Suppose -m - 95 = -4*f, 0*f + f = -m + 25. Calculate the greatest common divisor of x and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 0 - (97 + -86).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 2403 (c) 1\/5 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24633 divided by 1449?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089313492 a multiple of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**3 - 3*y**2 + 7*y - 5. Let p be g(2). Suppose z - p = -v, z + z - 47 = -3*v. Calculate the least common multiple of 132 and z.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240.1 + -188.1. Put m, 1\/2, -6 in descending order.\nAnswer: m, 1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -61*h + 1. Let k be n(-4). Let l = k + -5143\/21. Which is the second smallest value? (a) -5 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 6*l**2 + l + 4. Suppose 2*b + b - 27 = 0. Let c = 12 - b. Let r(y) = y**2 - 6*y + 3. Let o be r(c). What is i(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 250 = 2*y. Calculate the highest common divisor of 50 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) - (-480)\/(-14). Let n = -66 - -52. Let c = n - x. Solve 0 = d - 5*d - c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 105108020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 26*n**2. Let s(d) = 233*d + 16. What is f(s(m))?\nAnswer: 1411514*m**2 + 193856*m + 6656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3308\/5 - 110089\/165. Is u greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, 1\/6, 2.59, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4977 + 4753 = -112*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + (-1 - 0) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3) + 0))**2 + 1*sqrt(48).\nAnswer: 4*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*d**4 + 673*d**3*v - 5*d*v + 6434*v wrt d.\nAnswer: 2184*d**2 + 4038*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 41355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456457*15.\nAnswer: -6846855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 5*z = z, -i - 4*z + 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -3) + (0 - -3 - 11) + 14 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 200 = -2*o. Calculate the remainder when o is divided by ((-52)\/(-5))\/(-7 - 37\/(-5)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1000)*1*-3)\/(3*sqrt(5)*1 - sqrt(30)\/sqrt(6)*-3))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*v**2 + 37*v**3 + 10*v + 21*v**3 - 60*v**3 in the form b*v + n*v**2 + y + p*v**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.085\nAnswer: -0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.29701 - 9.9?\nAnswer: -12.19701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z + 21 - 45 + 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2 in increasing order.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t. Let i(w) = -1 + 15*w - 3*w - 5*w + w. Let z(g) = -i(g) + 2*k(g). Give z(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999 divided by 6?\nAnswer: 4999\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-76)\/(-8))*((-91)\/(-39) + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -211200120111 (base 3) to base 7\nAnswer: -3536641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from iiiiiigiiigi?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/12727 and -59\/55.\nAnswer: 63635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2847 is divided by 1096?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-12)*(-33)\/(-55). Suppose 5*n = 2*n. Suppose -2*o - 3*o = n. Are o and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 - 83. Suppose 2100 = 5*u - 5*k, 1311 - i = 3*u - k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3316*p**4 - 129*p**3 + 1978017*p?\nAnswer: -39792*p**2 - 774*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 584 or 531?\nAnswer: 531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 2073?\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84*1\/3*((-168)\/(-49))\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108883237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123307*f**3 + 77317.\nAnswer: -369921*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*n - 1. Suppose -10 = -0*u - n*u. Suppose -3*v + 4 = 5*w - 7*v, -5*v + 4 = -4*w. Put u, w, 1 in decreasing order.\nAnswer: u, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -19. Suppose 2*m + 0*m + 3*h - 2 = l, m + h = 0. Let f be 1 + m - (-1 - -12). Is -11 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Suppose -d = j + 2*m, 2*j - 4*m = -3*j + 41. Solve f - 8 = -2*z, -z - j - 9 = -4*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 470.5 + -475.5. What is the closest to -1 in -3.2, l, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k - k)*(-2711 - 2*k + 2711) - 17*k**2 + 34*k**2 - 16*k**2 + 8.\nAnswer: 5*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2*l**3\/3 - 17*l**2\/2 - 13*l - 7053. Determine i(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -709, 0, 1\/6, 18, 1, -4.\nAnswer: -709, -4, 0, 1\/6, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 63 = 17. Let x = 61 + w. Suppose 4*t = 6*t - x. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*p - 263 = -273, 5*g = -4*p + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) 2 (c) 0 (d) -2\/3 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x**2 + 12*x - 11. Let b(s) = -2*s**2 - s + 1. Let o(f) = -2*a(f) - 14*b(f). Factor o(w).\nAnswer: 2*(w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 1) + -4 + 2. Let n(p) = p**2 + 8*p + 3. Let t be n(-7). Sort a, t, 4 in decreasing order.\nAnswer: 4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 151 or 150?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13285*j + 12335*j = 19950 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 602, 900, 1198, 1496, 1794?\nAnswer: 2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*a**2 - 162*a**2 - 195*a**2.\nAnswer: -319*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*m**2 - 110*m**2 + 67*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64 + -ba4?\nAnswer: -c28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236845 is divided by 6511?\nAnswer: 6266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 38521*x - 38518*x - 38512*x - 1 + 115559*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -50. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 14. Suppose 0 = o*u - 7 - 2. Suppose 24 = 3*z - 2*x, 233*x - 237*x = -4*z + 40. Solve -2*v + z*t - 12 = 0, 5*v = 2*v + u*t - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 44*a - 36. What is the lowest common multiple of 453 and s(-45)?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316181, -316184, -316187, -316190, -316193?\nAnswer: -316196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/16425567 and -47\/1236333?\nAnswer: 114978969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k + 1100 = 0. Suppose -3*x + k = 2*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s + 70015 = -906*s - 37738 + 29484 for s.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020252839 to 5 decimal places.\nAnswer: -0.02025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -64*y**2. Let c(z) be the second derivative of z**3\/6 - 3*z + 49. Determine h(c(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1307\/9 + -145. What is the biggest value in -0.4, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 22*m + 79. Determine n(11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d - 2*d - d to z + y*d and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1782) - sqrt(1782)*-2))\/(sqrt(162)*-2*-4).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4736)\/(-2664) + 2\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-9) - (-104)\/(-18). Is ((-160)\/d - -3)*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**2 - 16 + 5 + 6)*(0 + 4 - 1) - u**2 + 0*u**2 - u**2.\nAnswer: -23*u**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + h + 7. Let z(u) = -159184*u**3 + 3*u**2 - 8*u + 21. Let f be z(h). Round f to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.5 - -9. Let z = -3 + 3.3. Put z, 5, t in increasing order.\nAnswer: t, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**3\/3 - 2. Let g(f) = 27*f**2. Calculate g(r(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -165073.34 rounded to the nearest one thousand?\nAnswer: -165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.88476cm to micrometers.\nAnswer: 408847.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752*j + 727*j + 775 = 0 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19283 is divided by 40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.07 (b) -3 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 23 = 2. Let k(q) = -5*q - 5*q**3 - q**2 + 3*q + c*q**3 + q**3. Give k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10695 = -7*k + 10702. Let t = -60 + -3. Let r be t\/65 + (-2)\/(-2). Is k >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44691, -89389, -134091, -178797, -223507, -268221?\n\"Answer: -2*u**2 - 44692*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872378484.\nAnswer: 2, 3, 41, 59, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38842343 + -41460\nAnswer: 38800883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-8*(-6)\/16)*(-21)\/(-70).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1904061 is divided by 1902761?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 13 = -7. Let l be (q\/78)\/((-3)\/9). Suppose -4 = -3*g - 2*t, -2*g + 3*g - 2 = -t. Do l and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 4. What is the units digit of p\/6 - (-84)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -88?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 29.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -29.72982.\nAnswer: -33.72982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x + 1. Let v be l(-2). Suppose v*z = -0*z + 3. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58190 - -12568939\/216. Calculate the common denominator of r and -107\/1296.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577\/(-1154) + (-9)\/4*(-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 17667335.\nAnswer: 17667335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24731, -20607, -16483, -12359?\nAnswer: -8235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 9*y - 4. What is the tens digit of w(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - v**2 + 211*v - 4. Let l(k) = -k**3 + k + 1. Give f(m) + 4*l(m).\nAnswer: -m**3 - m**2 + 215*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.065 + 86.065. Let x = -82 + a. Which is greater: x or -14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -10 - 12. Calculate the smallest common multiple of h and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/12 - -1) + 255471\/642798?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - m**2 - 1 + 0*m + 0*m - 3*m**2 + (1 - 1 + 2*m**2)*(-5 + 3 + 3) + 534*m**2 + 7 + 30801495*m - 30801495*m.\nAnswer: 532*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6468 - 2275. What are the prime factors of n?\nAnswer: 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 993, 4670, 13637, 30540, 58025, 98738?\nAnswer: 155325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73458 and 990?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 0)*(-g - 2*g + 4*g) + 157*g + 10326 - 10326)*(-g - 5*g + g) to the form z*g**2 + s + x*g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -50145 divided by -5\nAnswer: 10029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -35*1*-1 + -1. Suppose 4*m - 116 = 4*g, 2*m + 5*g - k = g. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95488337 to the nearest integer?\nAnswer: 9772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) + 1*(sqrt(57)\/sqrt(3))**2).\nAnswer: 2*sqrt(19) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 3*a - 4*a)*(1 - 5 - 3) + 0*a - 6*a - 56*a + (3*a - 2*a - 2*a)*(-2 + 2 + 1) - 3*a + a + a + 3*a - a - a.\nAnswer: -70*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z**2 + 31912*z - 300270. Calculate a(1267).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4795\/(-13650) + (-12)\/(-234). Sort -3, c, 4\/7, -11\/2.\nAnswer: -11\/2, -3, c, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-1))\/((-5)\/20). Let u(l) = 11*l - 12. Let x be u(-6). Let c = o - x. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -v. Let d(c) = 4*c + 5*c - 5*c + 5*c. What is the units digit of d(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8)*-2) + sqrt(68)\/(sqrt(8)\/sqrt(2)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j - 3*j)*(-4 - 21*j**2 + 12*j**2 + 7*j**2 + 13*j).\nAnswer: 14*j**3 - 91*j**2 + 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382939 != 2765879\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 86*k**2 - 211*k - 3273. What is y(83)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.31086663 and 2890?\nAnswer: 2890.31086663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 + 0.069992. What is x rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyxyxyxyyyyyyyxxy. Give prob of picking 2 x and 2 y.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -1. What is the tens digit of u\/(-5) - 133\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x + 55. Let k(q) = q - 6. Let u(i) = 55*k(i) + 6*w(i). Let m(b) = -2*b. Determine u(m(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2135.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23859?\nAnswer: 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -160 (b) 1\/3 (c) -5 (d) -5515\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5754?\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:04 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.28 - -27.58. Which is the nearest to 0.1? (a) -1\/9 (b) y (c) 0.1 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = o + f, 3*f + 20 = 3*o + 2*f + 21 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/(-212)*(-16)\/(-9)*24\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011638 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34\/9 + 392\/99. What is the second smallest value in -2\/21, a, -4, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-30 + (8 + -18 - -16))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1690 is divided by 85.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*s - 7*s + 39 = 0, -4*v + 2*s + 138 = 0. Suppose 0*c = -4*c + v. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -12*d**2 + 962*d + 33. What is n(80)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 965, 2352, 4585, 8084, 13269, 20560, 30377?\n\"Answer: 70*w**3 + 3*w**2 + 888*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10118211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 177, 253?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*z - 385*z - 391*z - 383*z + 1927*z - 383*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 481 = 481 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -235, -403, -425, -229, 257, 1105, 2387?\n\"Answer: 12*x**3 + x**2 - 255*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g = 2306. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3 + 4 - 1 - 2 + (4 - 2 - 3)*(0 + 4 - 2) - 3 - 2 + 7)*(-g - 3*g + 3*g) - 6*g + 3*g + 2*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 115*p + 113*p + 2704 = 0, 4*p - 1628 = -3*v. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16253 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 35*w**2 + 35*w**2 - 2*w**4 + (3*w**3 + 3*w - 3*w)*(2*w - 2*w + 2*w) in the form l*w + d*w**2 + h*w**3 + z*w**4 + i and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43395752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1529394243 divided by -13.\nAnswer: 117645711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25414124?\nAnswer: 2, 6353531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18179, -18154, -18129?\n\"Answer: 25*g - 18204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3))\/(232\/83520*53700).\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106456 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 23*j**2 - 14*j - 28. Let v be d(-11). Suppose -4*u + 2*n = 36, 4*u + v*n - 18 = -68. Put 1, u, -4 in increasing order.\nAnswer: u, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1369206 divided by -2.\nAnswer: -684603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4364 = -5*b, b - 9*u + 7*u - 870 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.1*-378648.\nAnswer: 16319728.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 218129362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w + 29. Let q(o) = -o + 16. Let g(f) = 6*p(f) - 11*q(f). Determine g(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-14) + (-4)\/14. Let y(m) = m + 9. Let c be y(-6). Let o = n + c. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmmmsssmssmmmmmsmm. What is prob of picking 1 s and 1 m?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4754, -9413, -14068, -18719, -23366, -28009?\n\"Answer: 2*k**2 - 4665*k - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1476 = -4*t + 4*m, 6*m - 5*m + 1865 = 5*t. Suppose -6*j + t = -22. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r**3 + 77*r**2\/2 - 142*r - 273\/2.\nAnswer: (r - 3)*(r + 7)*(16*r + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140085*q**6 + 49267*q**2?\nAnswer: 16810200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 2. Let s be 16\/(896\/(-189)) + ((-6)\/(-1) - 3). Put s, -0.5, w in increasing order.\nAnswer: w, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(550) - sqrt(550))*-6 + (-2*sqrt(550) - sqrt(550))*5)\/(sqrt(2) - (sqrt(2) + -2*sqrt(128)) - (sqrt(14)*-3)\/sqrt(7))*6.\nAnswer: -90*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:37 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 711, 1627, 2919, 4593, 6655, 9111, 11967?\nAnswer: 15229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135336328 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278242 is divided by 278237.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 126?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11.5, 0.3, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -29. What is the third derivative of 11*z**2 + 0*z**n + 6*z**3 + 5*z**3 wrt z?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 41. Let g = u + 24. Which is the nearest to 2? (a) g (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 8 = -17*w - 5*u, 2*w - 4 = 7*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-5)*r**(-6\/25)*(r*r**24)**(-2\/17) assuming r is positive.\nAnswer: r**(-3052\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/(j*j**(-9)))**(3\/8) assuming j is positive.\nAnswer: j**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184142*p - 261645 wrt p.\nAnswer: 184142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 1. Let l(t) = 187*t - 6. What is l(s) - 6*q(s)?\nAnswer: 199*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p**3 + 65*p**2 - 129*p + 2. Determine m(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23710005\/(-513)*(-3)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.103 (b) -2\/19 (c) 2.403\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1015, 2, 1, -1 in ascending order.\nAnswer: -1, 1, 2, 4, 1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-1 + 0 - 1 + (-1 + 3 + 1)*(9 + 6 - 10) + 5 + 64 + 55)*(-2*j + 0*j - j + 3 - 2*j - 3 + (0 + 2 + 0)*(3*j - 5*j + 0*j)).\nAnswer: 1233*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188683994 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 294 or 10302\/35?\nAnswer: 10302\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((3 - 2)\/70). Does 7 divide (-12)\/(-15)*b\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**3 - 28*f**2 - 3*f + 6. Let g(j) = -4*j**3 - 14*j**2 - 2*j + 3. Give 11*g(d) - 6*r(d).\nAnswer: -2*d**3 + 14*d**2 - 4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3303 + -1203?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**2 - 643*z**3 - 639*z**3 + 1922*z**3 - 638*z**3 + 22 in the form i*z**2 + x*z + g*z**3 + j and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -10*o**3 + 25*o**3 - 13 - 12*o**3. Let f(j) = -2. Let u(m) = m + 7. Let k(t) = -7*f(t) - 2*u(t). What is i(k(h))?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 92913736 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 3. Let m be (1 - -9)*2\/4. Let o be c(m). Sort o, 4, -1.\nAnswer: o, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*l**4 + 7*l**4 - 14*l**4 + 4*l**3 + 4*l**2 - 6*l**3 in the form p + z*l**2 + o*l**4 + v*l + t*l**3 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9681, 38609, 86783, 154203?\n\"Answer: 9623*p**2 + 59*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r - 24 = -36*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 4) to base 10\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. What is the third derivative of 3*l**3 + 3*l**3 - 2*l**2 - 3*l**a wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273194995.\nAnswer: 5, 1277, 42787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(0*v + 2*v + 2*v) + 3 - 9*v + 2 + 7*v.\nAnswer: -6*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4242 or 29696\/7?\nAnswer: 29696\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 99 = 3*n, 2*n = 4 - 6. Suppose -57*t = -i*t - 42. Let m(s) = -s**3 + 7*s**2 + 3*s + 10. Give m(t).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324832385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 242, 241, 240, 239, 238?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let v(w) = 52*w**2 - 51*w**2 + 52*w**2. Give v(r(n)).\nAnswer: 212*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.36 + -3.76. Let j = g - -3. Suppose -8*u = -6*u - 2*f + 4, -5*f + 10 = -4*u. Which is the nearest to -0.1? (a) j (b) u (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.3 + 14. Let z = 897 - 621. Let h = z + -276. What is the closest to h in 1, k, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4017*w + 413. List the prime factors of s(2).\nAnswer: 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 + u**2 - 4*u**2. Let v be f(-2). Let s be v\/10 + (-1)\/(-10). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23\/11 - 47\/33. What is the closest to 12 in t, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51024889 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 2\/3 - 219\/(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1041, 8204, 27539, 65094, 126917, 219056, 347559?\nAnswer: 518474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 72*n + 664. Let h be d(-9). Is 35 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1 + 740*r - 735*r + 8. Let d be l(0). Solve -d*y - 15 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/2 = 699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -2, -114, 3 in descending order.\nAnswer: 3, 2, 1, -2, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-875)\/140 - -7)*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 18 - (-1 - (-5 - 1)) - (1 + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*a + 7, o - 6*o = -20. Let g be a - ((-70 - -2) + 1). Let f = 94 - g. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5227 and 126735748763.\nAnswer: 126735743536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v. Let d be 6 + (-4 - -5)*2\/2. Let j(w) = -6*w - d*w + 16*w - 5*w. Give b(j(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 4*k**2 + 3*k - 7. Let i be r(-5). Let q be (-21)\/(-6) - (-372)\/248. Solve -3*g = q*p + 5, 3*p - 5*p - 2 = -i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-6))\/(3655\/(-5418)). What is the third biggest value in 0.3, q, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) - (-32)\/14. Suppose g = y*g - 2. Suppose v + 58 = 5*b - 6, 28 = 2*b + g*v. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235017166?\nAnswer: 2, 41, 769, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 68 (b) -0.07 (c) 9\/179 (d) -1\/6 (e) -13 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*p - 3*u, -u = -4*p - 3*u + 32. Suppose -4 = -9*l + p*l. Solve l = -t - t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 9:48 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-660)\/(-22))*(21\/14 + 4).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:31 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -185.56 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 3*c - 3. Let w(y) = 3*y**2 - 5*y + 6. What is 5*r(o) + 3*w(o)?\nAnswer: -o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -3 + 151 + 2. Let c be x\/2*6\/18. Suppose c*z = 26*z - 29. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/9665241?\nAnswer: -7\/9665241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 20 = -0*g + i, -4*i + 22 = -5*g. Suppose -10 = -o - 7. Let u(m) = -4*m**3 - 5 - 9*m + 0*m + 3*m**o + 0*m**2 - 7*m**2. What is u(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1113342963 - 10.52.\nAnswer: -11.6313342963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-357)\/17)\/(-7)*(-16)\/6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48887907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g = 316 - 1064 - 325. Solve 4*p = -21 + g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -781*m**2*q**2 - 247*m*q**2 wrt m?\nAnswer: -1562*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 6 = 10*x. Solve 0 = x*w - 5*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*g**3*p*w - g**3 + 2*g**2 - 148063*p*w**2 + 13612*w**2 + 2*w wrt p.\nAnswer: -7*g**3*w - 148063*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1102*r = 1644*r - 1408 + 4118. Let w(a) = -8*a**2 + a - 4. Let s(t) = 0*t + 1 + 2 + 7*t**2 - t. What is r*w(i) - 6*s(i)?\nAnswer: -2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4 + 6. Let y be (2\/3)\/(2\/(-6)). Let r = z + y. What is the closest to -0.2 in r, 4, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -7*s - 20, 2*j = -3*s + 55. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -48, -46, -42?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1434 - 1433.6. What is the second smallest value in 3, -1, r, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1504977 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 - -0.04.\nAnswer: 21.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001077815 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144494?\nAnswer: 2, 7, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3220860 divided by 30?\nAnswer: -107362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 8*b + 6. Let m be r(-4). Let t be 4\/m - 84\/(-35). Put -1, t, 1 in decreasing order.\nAnswer: t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = 4*i, 4*q - 6*q = i + 3. Suppose q = 2*d + w - 3 - 0, 0 = 4*d + 3*w - 9. Suppose -1394*s = -1416*s + 110. Solve -r + s = -d*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405695173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*x + 2855, 0*x - 1145 = -2*m + 5*x. Let n = 1268 - m. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-2) + (-190)\/40. Let r(n) be the second derivative of 0 + 0*n**3 + z*n**4 + n + n**2. What is the derivative of r(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.409, 2, 5 in increasing order.\nAnswer: 1.409, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h - 1. Let u(m) = -m - 2. Let f(r) = -4*r - 7. Let j(n) = -2*f(n) + 7*u(n). Give -9*j(w) - 2*q(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 21*n - 76. Suppose -n*r - 2303 + 69 = -2*c, r = 2*c - 2225. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d. Let q(j) = -8*j - 2*j + 5*j. Determine x(q(o)).\nAnswer: -40*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Suppose 9*f + 4*g = 6*f + 70, 5*f - 155 = g. Sort 0, y, f in decreasing order.\nAnswer: f, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*r = -499586, 3*q + 408848 = -5*r + 1907620. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169e5 (base 15) to base 13.\nAnswer: 27383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8))\/(((-56)\/14)\/72)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 3 - 3 - 5*j + 28*j**2 - 26*j**2. Let m = 6 + -3. Determine r(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and ((-12)\/(-14 - -8))\/(2 - (-142)\/(-72))?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 61, 91, 125?\n\"Answer: 2*o**2 + 20*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**3\/2 - 5*f**2 - 6*f. Let d be s(-4). Suppose 1 = d*k - 3. Solve k*p + 2 - 6 = -2*n, 0 = -3*p + 3*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -1 (c) -0.3 (d) 155\/4 (e) -4\/9 (f) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 + 3 + 2*j**2 - 3*j**2. Let n(u) = 9*u**2 - 7. Let x be 4*((-9)\/(-4) - 3). What is x*n(t) - 7*k(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5664.7 and -31.\nAnswer: 175605.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 1:45 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100111111001 (base 2) to base 10.\nAnswer: 10745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*b - 3160, 3*b + 10*k - 5*k - 1918 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rreuuuueumreeum. What is prob of picking 2 m?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 576 - 158. Let n = r - 206. Solve -n*s + 6 = 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 56*r + 13. Let o be i(6). Let c = -248 + o. What are the prime factors of c?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrnnpnxxxoopxxxxr. Give prob of sequence orpx.\nAnswer: 2\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18359862 and 75.\nAnswer: 18359937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186550 is divided by 2014.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -123?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**(-15)))\/(v*v**13\/v*v)*v*v**(-2\/5)*v*v\/v**(-22\/5)*v assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -17. Solve -3*a = -h - b, -3*a - 2*a + 20 = 3*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.33, 0.09, 2 in decreasing order.\nAnswer: 2, 0.09, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-51) + (-12)\/102 - -3. Let s(n) = 8*n - 6*n - 5*n**3 + 4*n + 6 + 6*n**w + 7*n**2. Calculate s(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2*x - 0*m - 14, 2*x - 26 = 4*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11746499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let f(d) = -3*d**u - 7 - 4*d + 6 - 9 + 4*d**2. What are the prime factors of f(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 3. Let z(v) = -v. Let h(j) be the second derivative of 0 + 9*j + 0*j**2 - 1\/6*j**3. What is k*h(l) + z(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44321 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 5*s - 31. Let t be r(-9). Solve -i + 12 = 5*d + 4, 4 = t*d + 3*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/253444 and 85\/46.\nAnswer: 5829212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 4. Let k be m(4). Let c be 0 + 0 + 2 - -37. Suppose k*p = p + c. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 3*y + 2*y + 0*y + 5 + 8*y.\nAnswer: 3*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 6. Let o = 23 - 24. Let m be (-6)\/(-12) - (0 - o). Sort -0.2, m, h in descending order.\nAnswer: h, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 3 - 1 + 43*r**2 + 9 - 127*r**2 in the form c*r + j*r**2 + o and give j.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002893986398 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11160 divided by 4\nAnswer: 2790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20853783 + 20853783.17999762. Let s = 0.18 - r. Round s to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/918198 and -75\/80914?\nAnswer: 21118554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*n = -9061 - 10264 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11*z**2 + 4*z**2 - z + 9*z**2 - 8. Suppose 4*o + 13 = 1. What is the remainder when 75 is divided by u(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 at least as big as 354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 5028271?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -1. Let f = -754.5 + 754.9. Put f, k, -0.5, -2\/11 in ascending order.\nAnswer: k, -0.5, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + (7 - (-3 + 2))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2101 (b) -0.4 (c) -4.1 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 126*g - 2 - 1 - 128*g. Let c = 67 + -75. Determine m(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c**3 - 4*c**2 + 8*c - 4. Let t(l) = l**2 - 11*l - 10. Let r be t(12). What is the smallest common multiple of 12 and n(r)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1684 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -853\/7 = -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3095 rounded to two decimal places?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1494931 or 1494929?\nAnswer: 1494929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Let z = 8 + -1. Calculate the smallest common multiple of z and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3597872360.\nAnswer: 2, 5, 89946809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.586, 0.1, -5.\nAnswer: -5, 0, 0.1, 0.586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 + 3 - (7 + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/7 + 7791788*c**3\/7 + 10118654844960*c**2\/7 + 625731833520875264*c - 8760286143973967872\/7.\nAnswer: 2*(c - 2)*(c + 1298632)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 23*z**2 + 28*z + 14. Let q be p(-25). Let r = -3932\/7 + q. Determine o so that 32\/7*o**3 + 8\/7 + 44\/7*o - r*o**4 - 12\/7*o**5 + 72\/7*o**2 = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4334 (base 5) to base 4.\nAnswer: -21102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-13)\/(-39))\/((20\/(-3))\/5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7296701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122550033 and 2973?\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49149 in 0.3, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -540*q + 25345. Give k(47).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 - (2 + -3). Suppose 0 = l*r + 2*r - 24. Calculate the remainder when 10 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -44, -67, -84, -89, -76, -39, 28?\n\"Answer: h**3 - 6*h**2 - 12*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (5 - 8\/4). Suppose -w*p + 78 = -14. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + w + 8. Let u be d(4). Let v(p) = p**2 + 12*p + 10. Let c(q) = -3*q**2 - 35*q - 29. Let r(m) = u*c(m) - 11*v(m). What is r(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 82*q**3\/3 - 795*q**2\/2 - 2912*q. What is the derivative of a(h) wrt h?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/3 - 40*m**3\/3 + 14*m**2 = 0. What is m?\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 8)*(-7*x**5 + 4*x**5 - 9*x**5).\nAnswer: -132*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -24. Calculate the remainder when -2 - 79\/r*-1 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.354, -2\/1025 in decreasing order.\nAnswer: 0.5, 0.354, -2\/1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 12*u**2 - 10*u - 9. Suppose 24*a - 22*a - 22 = 0. Let d be j(a). Suppose 64 = -d*q - m, 0 = -m + 2 + 2. Which is smaller: q or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 1, y: 5, c: 1}. Give prob of sequence mlc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7287288 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*f - 1138, -20*f - 569 = -21*f + 5*v. Let n = f + 3. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(0 + 15\/9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037813 to 4 decimal places.\nAnswer: -0.0378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3472 + -3472.05955. Round t to three decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 580.8 + -581. Let r = 0 + 0.1. Suppose -5*x = 2*o - 14, o - 3*x + 11 = -4. Sort o, r, p in decreasing order.\nAnswer: r, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 divided by -3?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u + 6 - 13*u + 26*u. Let p(f) = -7*f - 7. Give -4*p(m) - 5*q(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 2*g**2 - 2*g**2. Let o(d) be the second derivative of -23*d**4\/12 - 3*d - 555. What is v(o(w))?\nAnswer: -529*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -195873 or -195965?\nAnswer: -195965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + c + 6. Let r = -15 - -13. Let v be y(r). List the prime factors of (-15 - 0)\/(v\/56).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2893 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4245 - -35?\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -j + 1. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61013341 (base 7) to base 16\nAnswer: 4d3f71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-17*(-1)\/(-3))\/(6\/60)*78\/(-52)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**3\/3 - 5*f**2\/2 - 3*f - 3. Let g be o(6). Solve 3 = -g*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1253771, 1253710, 1253649, 1253588, 1253527?\nAnswer: 1253466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 10 = -2*q. What is the lowest common multiple of q*(1 - 0\/1) and -76 + 76 - -1*7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**2\/2 - 1. Let n be s(3). Let v(d) = 3 + n*d - 3*d + 2*d - 2. Determine v(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - 42640?\nAnswer: -43006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11850080 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18202288 and 1092.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2717.8 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyyhy. Give prob of sequence yi.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 24576300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3268, -0.4, 4.\nAnswer: -0.4, 4, 3268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b**2 + 8*b**2 - 43*b + 7 - 8)*(-b + 2*b + 3*b) + (-2*b - 2*b**3 + 2*b)*(8 - 2 + 3).\nAnswer: -26*b**3 - 172*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 10 + 40 = 0. Suppose 3*t + 2*t = -c*i + 240, 4*i - 144 = -3*t. What is the greatest common divisor of 60 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9581 and 2963142?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.036 + -12. Let g = -0.07 + l. Round g to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -3, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 77 = -28. Let t be 6\/o - 5\/(-7). Let u be 63\/42*4\/10. Which is the closest to 1\/2? (a) 2 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 19*y + 392. Calculate x(0).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.053 - 20.947. Let l = q - -24. Let y = 21 - 25. Which is the third biggest value? (a) l (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 247 - 214. Let x(p) = p**2 - 8*p. What is the lowest common multiple of x(9) and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2 = -8*t + 10*t, -5*l = 3*t - 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8382781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195*(84\/(-126) - ((-1068)\/(-315) + -4)) + 10.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 11. What is the biggest value in -0.1, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -212461?\nAnswer: 212511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -63, -151, -277, -441, -643, -883?\nAnswer: -1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -n + 24, 5*n = -3*k + 109 + 37. Solve -8 = -5*m - n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:39 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 178983799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 833*f = 828*f. Let n be -6*1\/(-40)*1. Is f greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9082366 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.59 at most as big as 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*7\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*t = 8, 4*n - t + 4*t = -1. Is (-3)\/n*(-70)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 a factor of 754137756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -234.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 197396 = 3*l - 197452, 0 = 2*k - l + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {a: 1, m: 3, r: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 36*g. Suppose -3*o - 2*o - 3*n - 7 = 0, 4*o = -3*n - 8. Determine w(o).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45082 + -17110. Is r\/21 - 5*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 23*n**3 + 2*n - 2. Suppose 0*k + 2 = 2*k. Let s be v(k). Solve 0 = 3*i + s - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u - 8. Let t(d) = 15*d - 15. Let w(k) = 6*t(k) - 11*x(k). Let l be w(2). Let z be (-7)\/2 + 1\/l. Sort -2\/9, -4, z in increasing order.\nAnswer: -4, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y - 8 = -21*y - 4*l, -5*y - 4*l = -16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -80, -305, -746, -1475, -2564?\nAnswer: -4085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214 - 4064\/19. What is the nearest to -0.1 in -0.1, l, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4143969 divided by 272?\nAnswer: 4143969\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 9*m - 8. Let d be v(6). Suppose 2*b = -4 + d. Is (b\/6)\/((-1)\/(-52)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -5, -0.2, 0.5 in ascending order.\nAnswer: -18, -5, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 482 = 3*d, 0 = 23*d - 18*d. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*a + 5 + 51 = 0, 2*s = -2*a + 22. Let q = s - 5. Solve -q*i + 2*i = -3*h + 19, 0 = h + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1300 or 1301?\nAnswer: 1301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 38170000 to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 17*i - 1. Calculate the lowest common multiple of f(9) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.547906ug to nanograms.\nAnswer: 3547.906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51 and -23953.\nAnswer: -24004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Find the second derivative of 3*c**3 - 6*c**3 - k*c - 6*c**3 wrt c.\nAnswer: -54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 28. Is b at most as big as 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8769146 centuries to years.\nAnswer: 87.69146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397327743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*z = 271*z + 1299 + 219 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 78\/12*2. Sort 1, 6, q, 4 in ascending order.\nAnswer: 1, 4, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 593743 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -28. Suppose 5*w = -g*x + 12, 3*w + 2*w = 3*x - 12. Suppose w*k - 5*k = 20, 3*a + 11 = -5*k. Solve 0 = -a*s - 2 - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34557 (base 8) to base 11\nAnswer: 10057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 0 - (13 - 13). Let t be o*(-2)\/(-10) + 2. Suppose 3*a + 15 = 3*z, t*z - 5*a = -0*z + 16. Solve z = 2*s + s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*b + 377 = -43*b. Solve -8*x + 3*x + 35 = -5*t, 4*t + x = -b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322\/28 + 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -4, -1, 4, 11, 20, 31?\n\"Answer: u**2 - 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3859 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: Collect the terms in 5*r**3 + 13*r**3 - 2*r**3.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a hour?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3978 and 19584?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1281 = -3*a, 4*l + 100*a - 1708 = 105*a. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857479.\nAnswer: 13, 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 4) to base 11.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85316.43 rounded to the nearest one hundred?\nAnswer: 85300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2306 - -2309. Let u(n) be the second derivative of 1\/14*n**7 + 3\/20*n**5 + 16*n + 0 + 0*n**4 + 0*n**f + 1\/5*n**6 + 0*n**2. Factor u(w).\nAnswer: 3*w**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.90762cm to millimeters.\nAnswer: 909.0762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 38. Let i = c - -3. Let f = 22 + i. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.56 (b) -2\/59 (c) -1 (d) -8097\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1 - 2)\/(-2). Suppose -w*p = -5 - 69. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - u**2 + u**2 + 2*u**2. Let c(o) = -o**2. Calculate i(c(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 11*l + 33. Let a be v(-10). Let u(w) = -1 + w + w**2 + 36*w**3 - a*w**3 - 12*w**3. What is u(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/202489 and 53\/260343.\nAnswer: 1822401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -54964.\nAnswer: 25\/54964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100493\/9032 + -3\/2258. Let v = 3867084545\/872808 - -50\/109101. Let o = 4442 - v. Calculate the common denominator of g and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111102321 (base 4) in base 16?\nAnswer: 154b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 18. Let h(g) be the third derivative of -16\/21*g**3 - 1\/735*g**7 - 4\/35*g**5 + 2\/105*g**i + 0 - 3*g**2 + 8\/21*g**4 + 0*g. Factor h(a).\nAnswer: -2*(a - 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -136. Is h + (-4)\/(-4) - -70 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 8*v - 5*v, -5*k + 4*v = 7. Put k, 5, 4 in ascending order.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/240 - f**4\/16 + 3*f**3\/8 + 3*f**2\/2 - f. Let j(o) be the first derivative of d(o). Determine b so that j(b) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/430573 and -107\/234858.\nAnswer: 2583438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -11*v - 5. Suppose -2*b - 229 = -5*l, 10*l = 8*l - 2*b + 100. Calculate the remainder when l is divided by v\/5 - (-101)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 118946, 3, 4 in decreasing order.\nAnswer: 118946, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (0 + -1 - -4 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -630.36012 - -628.86. Let b = 1.5 + k. What is b rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2199 - 2188. Solve -o = y*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -15*g + 9*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.6 - 0.6. Let u = h + -8. Let s = 4.6 - u. What is the second smallest value in s, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1069*s**3 - 3090*s**2.\nAnswer: 6414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(325)*4 - 6*sqrt(325)*1) + -1)**2 + (sqrt(65) - -4*-4*sqrt(65))\/(sqrt(20)*2 + sqrt(5)).\nAnswer: 137*sqrt(13) + 63701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 536532226 - -3?\nAnswer: 536532231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9120)\/112)\/19*-7*18\/(-12)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -24*b + 30, -2*b - 30 = -21*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 728b + -130?\nAnswer: 715b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12431047.\nAnswer: 599, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*a**2*f - 2*a**2 + 2*f + 105 wrt a?\nAnswer: 120*a*f - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**5\/5 - 5*h**4\/2 + 61*h + 106. Differentiate x(b) with respect to b.\nAnswer: -8*b**3 - 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0565 + -2.8135. Let m = k + 2.67. Which is the nearest to 2\/5? (a) m (b) -1\/6 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(9 + -1) - (-1261)\/2426. Let g = n + 102673\/21834. What is the common denominator of -43\/8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**6\/20 + 3*p**5\/5 + 15*p**2\/2 + 8. Let j(k) be the second derivative of o(k). What is the third derivative of j(g) wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-3) - 1\/(-3). Let l be 18\/(((-3)\/z)\/(-3)). Suppose 7*d - 79 = -16. Calculate the highest common factor of d and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + -1 + (6 - 1) + (143 - 72) + -84\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4945 + -3821.1. What is q rounded to the nearest ten?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -22, -37 in descending order.\nAnswer: 3, -2, -22, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 1\/20*z**5 - 2*z + 1\/6*z**3 + 0 + 0*z**4 + 0*z**2. Find the second derivative of i(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 21 - 10)*(2 + 1 + 0)*(-4*r - 2*r + 4*r).\nAnswer: -198*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-116 - 1) - 0. Suppose -14 = -5*i + k. Suppose -i = -5*d + 34. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*18.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.72299 times 5?\nAnswer: 1663.61495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - a859aa?\nAnswer: -a859a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 77, 1855, 4781, 8855, 14077, 20447?\n\"Answer: 574*w**2 + 56*w - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: a5867 (base 11) to base 12\nAnswer: 75222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377785953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 5. Let m(s) = -5*s**2 - 6. Let q(i) = -5*m(i) - 6*n(i). Let x(g) = 2*g - g + 0*g. Calculate x(q(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1797, 7331, 16589, 29571, 46277?\n\"Answer: 1862*q**2 - 52*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6601813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v**3 - 5*v**2*x**2 + 741935*v**2*x - v*x**2 - 50*v*x + 207*v + 11*x**2 + 11*x wrt v?\nAnswer: -24*v - 10*x**2 + 1483870*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*-4 - (sqrt(7) + (-2*sqrt(1008) - sqrt(7))))**2 + 0 + sqrt(343) + (sqrt(112) + 1)**2.\nAnswer: 15*sqrt(7) + 2913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432f (base 16) in base 11?\nAnswer: 11a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8728*m**4 - 125*m**3 - 531570*m - 1 wrt m.\nAnswer: -104736*m**2 - 750*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.10818 + 0.102. What is a rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**2 + 26*b + 105. Calculate the remainder when o(-15) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 255845650 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1548*m**3 + 2333*m**2 - 2830*m**2 + 497*m**2.\nAnswer: 1548*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -11. What is the closest to 1\/2 in u, -2\/17, -3\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0232765 months to years.\nAnswer: 0.168606375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689496906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 64\/5 of a millimeter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = -4*w, 0*w + 2*j + 18 = 2*w. Let g = 8 - w. Let v = -6 + 3. Put 0.1, g, v in increasing order.\nAnswer: v, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 59*((-47)\/(-9) - (-4)\/(-18)). Let v = u + -277. Suppose 2*a + 12 = 4*a. What is the greatest common factor of a and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181857837?\nAnswer: 16097, 73421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1186527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.80593 months in years?\nAnswer: 18.4838275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8300 and 14692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 861 + 15?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37743288371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.469 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, p: 1, y: 1}. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 5684?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5539877 is divided by 9264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(700) + 1 + 2 + (sqrt(700) - (sqrt(700) + -2*sqrt(700) + -5 - sqrt(700))))**2.\nAnswer: 240*sqrt(7) + 11209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o = 26*o + 34. Suppose 0 = -n + 5*a + o, n - 14 = a + 8. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -254 + 1\/(1\/3). Let t = z - -412. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, 9, 28, 63, 120, 205, 324?\n\"Answer: k**3 - k**2 + 5*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m + 5. Let d(h) = -2*h**2 + 300*h + 605. Let u be d(-2). Let l(g) = 5*g + 4. Determine u*l(p) + 2*z(p).\nAnswer: -5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 507295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*z - 2*z. Let g(t) = -t**2 + 9*t - 6. Let f be g(z). Let d be (f - 12)*(-1)\/3. Which is the second biggest value? (a) -6 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/5 + 96058*p**2\/5 + 1153536494*p\/5 + 3459745014\/5 = 0. Calculate p.\nAnswer: -24013, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -169? (a) -20 (b) -3 (c) 2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d + 8. Let f(q) = -14*q + 9. Determine -4*f(i) + 3*l(i).\nAnswer: 26*i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34114 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -18\/973 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12413 is divided by 53.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*i - 30 - 140 = 0, -4*i - 97 = -3*n. Suppose n*a + 32654 = 68*a. What are the prime factors of a?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g + 16. Let t(d) = 16*d - 181. Let l be t(11). Put g, 0, l in descending order.\nAnswer: 0, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heyzjszj. Give prob of picking 1 h and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15 - -15) + -20 - 15) + (-5 - -2 - -5).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -61498*((126\/(-12) - 1) + 11).\nAnswer: 97, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 3 + -1 - (-309 - -320).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17656.319 + 17669. What is n rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28528410 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -233 - 0.09550836.\nAnswer: -233.09550836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 58*v**2 + v. Let o be r(-1). Let u = -25 + o. Let a = u - 28. Solve 0 = -a*c + 18 - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.2 + -5. Suppose -3*t + 5 = 2*n, 2*n + 19 = 2*t + 3*t. Which is the second biggest value? (a) -4 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 68, -2, -4 in ascending order.\nAnswer: -4, -2, -1, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyz when three letters picked without replacement from dzzyydydddy.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8384 * -0.6\nAnswer: -5030.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 289 - 274. What is the least common multiple of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdxox. Give prob of picking 1 d and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t**5 - 21476*t**4 - 246788*t**3 + 3785876*t**2 - 8574160*t - 7467600 = 0 for t.\nAnswer: -1778, -21, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 - 3*n + 4. Let z(l) = -3*l**2 + 2*l - 5. Let b = 785 - 787. Determine b*u(f) - 3*z(f).\nAnswer: f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**5 + q**4 - q**2 + q - 1. Let b(g) = -16*g**5 + 18*g**4 + 5*g**3 - 18*g**2 + 11*g - 9. Let u(h) = -2*b(h) + 18*t(h). Find k, given that u(k) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 2*b = -54*b + 18216. What is the lowest common multiple of b and 1518?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2279*d**3 + 5*d**2 + 3*d + 9. Let l be w(5). Is l\/(-30) - 20\/(-150) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13629 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3121*i + 87389. What is m(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1558619\/10 + -162339. Let d be -7*(-4)\/(-16)*3704 + -3. Let x = d - q. Calculate the common denominator of x and -39\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 56, 125, 246, 437, 716?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by -22342\nAnswer: -81\/22342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from cccccccmccccccmccc?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19.36 in -0.5, 28, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 24 = -2*m. Let g(v) = -2 - 8*v - m*v - 17 + 24*v. Let i be g(17). Sort -5, i, -4 in decreasing order.\nAnswer: i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*j + 3. Suppose 145 = -x + 2*x + 3*d, -j*d + 8 = 0. Suppose -2*w = -x - 1. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 35815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7938164863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**4 - 2*h**2 + 30221*h**3 - 2*h**4 - 30380*h**3 + 2*h in the form z*h**4 + t*h + n*h**2 + y*h**3 + l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/42? (a) -1\/6 (b) 5 (c) -0.464 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -49*v**3 - 5*v**2 - v + 13. Let l(i) = -i**3 - i**2 + 3. What is 5*l(d) - m(d)?\nAnswer: 44*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28497 and 378603.\nAnswer: 2650221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1138500 + -15?\nAnswer: -1138515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/245*5\/2*1729\/21736?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 488 = -212. Suppose -5*i + 79 + 347 = 4*q, -5*q = -3*i + 226. Let b = x - i. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 91 - 5*s - 91. Let k(c) = 3773*c + 6*c**2 - 3773*c. What is a(k(j))?\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - -1. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/2)\/(z\/z**(-1)))\/(z**(2\/11)\/(z*z**(1\/2)*z*z)) assuming z is positive.\nAnswer: z**(31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + 1. Let v = -22 + k. What is the third smallest value in 1, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 319307 and -86?\nAnswer: -27460402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 4 + 17. Suppose x - 37 = -m*q, 4*q - x - 54 = -7. Calculate the remainder when 23 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133353?\nAnswer: 3, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.3 + 24.3. Which is the nearest to r? (a) 0.3 (b) -2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/84667 or 1?\nAnswer: -2\/84667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h + 5043 = -30. Are -80 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 52 (b) -13 (c) 1\/31 (d) 2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.222 - 0.168. What is d rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1729 - 851. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 - -136. What is the smallest value in 0.5, p, -3, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -740 - -744. Factor -4\/3*b**2 - 8\/3 - f*b.\nAnswer: -4*(b + 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 16961831\nAnswer: 508854.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*q - 224 = 164*q. Calculate the remainder when 709 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 34 + 2*k + 3*k.\nAnswer: 5*k + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + -2 + 5*sqrt(2448)*-1)*-5)**2 + 5 + -3.\nAnswer: 18000*sqrt(17) + 1530902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 929.0883ng in grams?\nAnswer: 0.0000009290883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4072086*h**3 - 4072090*h**3 + 12216276*h**3 - 4072097*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2990 - -28921. Let i = j + -25023418\/965. Let r = 3676\/2895 + i. What is the common denominator of r and 40\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6757425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - 2*w - 182, -5*m - 5*w + 850 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 587 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, d: 2, m: 1, j: 1, k: 8}. What is prob of picking 3 t?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 19 = -n - b, -3*b + 1 = -2*n. Let a = -4 + n. Suppose 5*x = 2*d - 64, -d - 4*d + 3*x + 122 = a. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-8)*(384\/(-40))\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*a + 6*v = 3*a + 28, -4*a - 18 = v + 51 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*g + 337662 = 404*g. Is 164 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/20 + s**4\/3 + s**3\/6 - s**2 - 11*s. Calculate n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354407.706 rounded to the nearest one thousand?\nAnswer: 354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*l - 58, -q + 0*q = 4*l + 44. Let p = l - -12. Let m(i) = -3 + 18*i**2 + 1 - 64*i**2 + 19*i**2 + 23*i**2 + 3*i. Calculate m(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 39 = 26*r + 276 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 337.\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/2, -1, 54\/7, 0.21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-266)\/(-3) + 2\/6. Let v = -186 - m. Let g = 1922\/7 + v. What is the third smallest value in g, -2, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-3 + 1 + 1). Let p be v\/33 + 172\/22. Solve o = 3*b + p, 0 = 5*b - 3*o - 0*o + 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Sort 3, z, 0.4 in decreasing order.\nAnswer: z, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -314*h + 3. Let r be v(-2). Let c = r - 630. What is the biggest value in 1\/7, -37\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 10*r**2 + 2*r - 8. Is t(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + (sqrt(176) - (1*sqrt(176) + 4))**2 + (sqrt(176) + -6*(1 + sqrt(176)))**2.\nAnswer: 244*sqrt(11) + 4452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1 - 9)) + 12 + -2 + -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1553 - -1557. What is the fifth biggest value in -0.34, t, 0, 5, 1?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 1460*o**2 - 29305*o - 74640.\nAnswer: 5*(o - 311)*(o + 3)*(o + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 305.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 5*i + 2. Let m be c(-1). Let g(f) = 5*f**2 - 17*f + 1. Let k(r) = 3*r**2 - 9*r + 1. Let a(u) = -4*g(u) + 7*k(u). Calculate a(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**3\/3 - 1875*f**2 - 535680*f - 4670460 = 0. What is f?\nAnswer: -558, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*n**3 - 330*n**3 - 606*n**3.\nAnswer: -234*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = -56*r + 32*r - 77 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.4 less than 240417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g**2 + 4. Let v be ((-6)\/21)\/((-1)\/7). Let y be s(v). What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -327 - -330. Put j, 5, 0.4, 0.3 in ascending order.\nAnswer: 0.3, 0.4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591147531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7 + p + 13 + 11 - 12. What is the remainder when 11 + (-4 - 3\/3*-2) is divided by o(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 176 = b. What is the greatest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173754 + -49327. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001895 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 14*h**2 + 5*h + 26. Let f(k) = -k**3 - 14*k**2 + 4*k + 25. Let b(i) = 5*f(i) - 4*q(i). Differentiate b(s) with respect to s.\nAnswer: -3*s**2 - 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + p - p)*(-p + 2*p - 2*p)*(-15 - 50 - 44).\nAnswer: -436*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3827 + -3532. What is the third smallest value in -6, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 53*c + 564. Calculate i(-15).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**31)**(4\/35))**(-9) assuming r is positive.\nAnswer: r**(216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6267578?\nAnswer: 2, 37, 84697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 8682, -177 in descending order.\nAnswer: 8682, -31, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(826\/(-56)) - 3*48\/9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpbpppdphbphpa. Give prob of picking 2 p and 1 h.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/3*(-88)\/(-480)*10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 13.22. Let t = 8.22 - a. What is the third biggest value in -0.1, -1\/4, t, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*c + 281 + 39, 0 = -5*y - c - 1684. Let v be -1*y\/164 - 2. Is v < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 59*s**2 + 166*s - 108. Let m be i(-56). Let z(v) = 9*v**3 + 2*v**2 - 2*v + 1. Let l be z(1). Solve m = 3*c + r - l, -5*c = 4*r - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 - 2*y**3 + 3*y**2 - 2*y**4 - y**3 + 5 + 15 - 2 as l*y + x*y**2 + f*y**4 + i + j*y**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4570 + 170146832.\nAnswer: 170151402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 37. Let m be (-1 - (0\/1 - 2))*o. Suppose -4*i + 4*b + m = 5*b, -2*i + 22 = -3*b. Solve 0 = 9*v - i*v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 2*t = 20475. What are the prime factors of t?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 139524179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - d - 5, 0 = -3*d - 15. Suppose b = -3*a + 2*a - 43. What are the prime factors of -1*(a + (-2 - 0))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5629552 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.58, -0.124, 6, 0, 2?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, -44 in descending order.\nAnswer: 1, 0, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8617964 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 4*h + 72. Let o be g(-7). Sort 3, -14, o in decreasing order.\nAnswer: 3, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3\/2 (c) 32.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (405\/(-10))\/(-9)*((-25)\/(-45))\/1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 19*o + 46. What is the smallest common multiple of 258 and q(17)?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 1\/24*y**4 + 6*y**2 + 0 + 0*y + 0*y**3. Let i(j) be the second derivative of -7*j**4\/12 - 41*j + 1. Give z(i(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-55)\/(-220) - (0 - 6\/8). Put x, -5, -3, 3 in increasing order.\nAnswer: -5, -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 72.9. Put 1, 5\/6, -5, l in decreasing order.\nAnswer: 1, 5\/6, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128061\/54)\/(-153)*(-2)\/(-2)?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 1030*a + 1031*a - 269, -3*p = -11*a - 115 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -16*f**2. Let b(s) = 13*s + 58. Let h(k) = -23*k - 100. Let z(v) = -5*b(v) - 3*h(v). Determine q(z(i)).\nAnswer: -256*i**2 - 1280*i - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7)*w*w)\/w)**35\/((w**(1\/2)\/w)\/w*w*w**(2\/5)) assuming w is positive.\nAnswer: w**(451\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61089274 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1502792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4474 + 4589. Suppose 20 = -4*n, 2*n - 4*n = g + 80. Let b = -24 - g. What is the highest common divisor of f and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 1. Let o(j) be the first derivative of 5 - j + j**2 + 3 - 4 + 0*j**2. Let w(m) = 5*m - 3. Let z(u) = -9*o(u) + 4*w(u). Calculate -3*r(i) + z(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14544*a**5 - 2*a**3 - 84 + 2*a**3 + 2*a - 14447*a**5 wrt a.\nAnswer: 1940*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 32 = -x. Solve u + x = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255 * -2.62057\nAnswer: 668.24535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/5 (c) -2 (d) -18 (e) -0.2 (f) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -30. Calculate the least common multiple of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1014 or 2.73?\nAnswer: 2.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338382522?\nAnswer: 2, 3, 101, 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7aa3 (base 15) in base 4?\nAnswer: 12112230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -5*l**8\/84 - 95*l**7\/42 - 13*l**6\/2 - 43*l**5\/12 + 55*l**4\/12 + 3342*l**2. Find d such that h(d) = 0.\nAnswer: -22, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*w - 34 = 4*w, 3*a + 4*w - 72 = 0. Determine q so that -10*q**4 - 10*q - 16*q**3 - a*q**2 - 3*q**5 - 4*q**3 + q**5 - 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 0 = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 326 + 1576 + 882.\nAnswer: -b**2 + 2132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 221?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/7472 and 89\/58842?\nAnswer: 470736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 28. Let y = q + -4. Let p = -5 + y. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173257532 a multiple of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 13*x + 3. Let f be z(-9). Suppose -5 = -p, -p + 3*p = 3*r - 38. What is the smallest common multiple of r and 5\/(20\/f) + 2?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4995 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6146c (base 16) to base 11.\nAnswer: -2523a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*s**3 + 3*k**2*s**2 - 2105*k**2 - 4*k*s**3 + 3*k*s**2 - 8*k*s - 13 wrt k?\nAnswer: -4*s**3 + 6*s**2 - 4210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14523)\/(-799) - 9\/51?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -3\/4 (c) -1.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -26. What is the greatest common factor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -63. Let w(f) = 0 - 1 - f - 4. Let i be w(-10). Solve -i*l = u*q - 13, -q - 19 = l - 6*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 48 = 4*q. Suppose 3*p - 4*y + 20 = -0*p, -2*y + 10 = -p. Suppose 9*d - 4*d - 355 = p. Calculate the remainder when d is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 11*l**2 - 14*l + 28. Suppose 5*a - 3*r = 60, -13 = -2*a - 2*r + 11. Let k be t(a). Solve d + 5 = k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 22, 54, 108, 190, 306?\n\"Answer: c**3 + 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-s - s + 0*s)*(2 - 1 - 4) - 2226 + 2226 + 45*s)*(8*s - 2 - 1 + 3) as l + c*s + m*s**2 and give m.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 10:14 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1173*b**3 + 1402*b.\nAnswer: 7038*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14703252 and 257.\nAnswer: -14702995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 12:39 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52933339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6*a**3 - 70*a**2 + 102*a - 26 = 0.\nAnswer: -13, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= -78\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-9) + (-52)\/6. List the prime factors of (-2)\/v - 122\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000928286 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 445876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25900\/(-125)*(0 + -1)*5. What is the highest common factor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3048325 >= -21338283\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 take away 6.156864538?\nAnswer: -5.356864538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17608062509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/6 + 8*k**3\/3 - 93*k**2\/2 + 81*k = 0.\nAnswer: -27, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*b = -4 + 7, 7 = 3*h - 2*b. Suppose -5*m + 591 = -3*l, -477 = -h*m + m + l. Calculate the greatest common divisor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182337, -364725, -547117, -729513?\nAnswer: -911913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 2*n**2 + 0 - 1 - 7*n**2 to h*n + q*n**2 + t and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1617 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2024*m + 1. Let j(p) = 2023*p + 1. Let n(u) = -3*j(u) + 4*v(u). Let k be n(4). Let q = k + -5409. What is q rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + u**2 + u**2 + (3 + 2*u**2 - 3)*(-3 - 1 + 5) - 46*u**2 - 130*u + 130*u)*(-6 + 7 + 1).\nAnswer: -78*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 755452573 or 755452574?\nAnswer: 755452574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*x = 845, 3*u = -2*u - 3*x + 1440. What is u rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3129*i**6 - 792*i**2 wrt i.\nAnswer: -375480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -175d6 + 4?\nAnswer: -175d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -10. Let h be (b\/(-30))\/(1\/(-5)). Let y = 5 - h. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 427 - 266. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102331 (base 4) to base 9\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**3 + 119*k**2 + 4*k + 36. Let b(r) = -2*r**3 + 30*r**2 + r + 8. Give -18*b(y) + 4*v(y).\nAnswer: 4*y**3 - 64*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a1fc6 (base 16) in base 9?\nAnswer: -5166804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 11, -3, 1\/125?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/3679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/13 - 10000*k\/13 - 19992\/13 = 0. Calculate k.\nAnswer: -4998, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (600\/42)\/((-2)\/(-7)). What is the greatest common factor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2032*p + 16276. Give m(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 294467428 a multiple of 5247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 337 and -20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 5*y + 1. Let x(g) = 4*g**2 - 7*g + 1. Calculate 7*w(l) - 5*x(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -273, -539, -803, -1065?\n\"Answer: d**2 - 269*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -136259746.\nAnswer: 1\/68129873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h - 2. Let f(z) = 2*z - 20 + 18 + z**2 - 3*z. Suppose 0 = -0*m + 12*m - 48. Determine m*x(o) - 3*f(o).\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -9, 2\/3, 7, 2\/5, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 42608288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 0.15. Let g = -1449 + 1454. Let s = -2 + 2.05. Which is the second biggest value? (a) g (b) s (c) k (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171458715, -342917431, -514376149, -685834869?\nAnswer: -857293591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.743994 rounded to one decimal place?\nAnswer: 74.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 1, 0.09 in ascending order.\nAnswer: 0.09, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/6 - 20\/3. Let k be (-1)\/(-3) + (-4)\/3. Let s = k - q. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2335 * -0.5\nAnswer: 1167.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/1564*(13\/(39\/(-10)))\/(-5).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119 and 1?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g**3 - 5*g**2 + 3*g - 5. Let q(k) = -10*k**3 + 6*k**2 - 4*k + 6. Let b = 30260 + -30256. What is b*q(n) + 5*u(n)?\nAnswer: 5*n**3 - n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 916380893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 - 14*k**3 + 0*k**3 + 5*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 7*f = 10*f, -2*c + 0*f - 4*f = 0. Let g = -96691\/293 + 330. Are c and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 701 divided by 19\nAnswer: 701\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 8:47 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -33238.042 and 0.09058.\nAnswer: -33237.95142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4 and -17\/54202?\nAnswer: 108404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57.7487 - -0.0513. Let x = h - 58. Let m be (6\/(-76))\/(3\/4). Which is the nearest to -2? (a) 0.4 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-1*-5)\/(-4*(sqrt(242)*-2 + sqrt(242) - sqrt(242))).\nAnswer: 15*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*k + 26 - 9, -2*k + 3*v - 1 = 0. Solve 0 = t + 2*d + 6, 3*t - 15 = d + k*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 0.016 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 940*y = 938*y + 135, -5*y = 2*h - 351 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 2. Suppose 6*z + 31 = 7. Let r be (1 + z + 3)\/3. Let v be (1*(-1 - r))\/((-3)\/(-27)). Calculate h(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 237*r - 738.\nAnswer: 3*(r - 3)*(r + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447029340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -693.9 - -685. Let k = d + 51.9. Are 0.1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359091.\nAnswer: 3, 17, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4500025623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -695, -2783, -6257, -11111, -17339, -24935?\n\"Answer: f**3 - 699*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -3*w - 4*i, 4 = 4*w - 3*i - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -17*i - 15. Let w be y(9). Let d = w - -148. Let r = 10 - d. What is the lowest common multiple of r and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130+-6\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 6:10 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -1 (c) -0.22 (d) -0.088 (e) 0.19 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35 and -389.3556.\nAnswer: -13627.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**4 + r**3 - 6*r**2 + 1336*r - 3596. Let l(m) = -m**4 + m**2 - 2*m - 3. Let k(x) = 6*l(x) + z(x). Find the first derivative of k(w) wrt w.\nAnswer: 4*w**3 + 3*w**2 + 1324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 2*m**2 + m + 1. Let u be o(-2). Let q be 13\/4 - u\/(-4). Suppose -q*i = i - 60. Solve 2*l + 7 - i = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22631134 (base 7) to base 15.\nAnswer: -294d31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s**2 + 6*s - 6. Let y be o(-4). Suppose -y = -5*c + 4*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 353245.\nAnswer: -35324.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -17*r**3\/6 - 5*r**2\/2 + 1971*r. Let y(q) = -17*q - 4. Determine 3*i(v) - 4*y(v).\nAnswer: 17*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-15)\/306)*(68\/(-276) - 84\/966)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 2\/7 (c) -9 (d) -54 (e) -1\/94 (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3658989.97555 - 3659107. Let o = v - -117. Round o to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*o = -80, 4*u + 94 = 2*u - 5*o. Let q = 49 + u. Let d(y) = y**3 - 7*y**2 - y + 7. Calculate d(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4 + 4*z**2 - 3*z + 7 - 2 + 5*z. Suppose 5*w - 6 = 44. Let g be 8\/5 + w\/25. Let d(u) = 5*u**2 + 3*u + 2. What is g*d(h) - 3*x(h)?\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75252.\nAnswer: 2, 3, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/725509 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79947589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + k + 3157 - 3189 = 3*a, 3*a + 5*k + 4 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 620.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*j + 8*j - u, 4*u - 24 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-184)\/69))\/((-3)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 2*w**2 - w - 2. Suppose 21 = -20*y - 19. Let d be o(y). Factor -2\/9*t**2 + 4\/9*t + d.\nAnswer: -2*t*(t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -642 and 0.4.\nAnswer: -641.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*t = -53, t - 5 = -0*t. Let p(z) be the first derivative of -2*z**4 - z**4 - 1 - d - 6 - 6*z. Find the first derivative of p(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -52 + 1 + -1 + 12 + -4\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 580253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Suppose 0 = j - 6*j + 2*i + 430, -v*i = 5*j - 400. Calculate the greatest common factor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + v**2 + 5\/2*v - 5\/2*v**3.\nAnswer: -(v - 1)*(v + 1)*(5*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12034 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*q + 59 = 0, 1927*f - 10*q = 1931*f - 106 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13012 + -13122?\nAnswer: -32200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) -8\/7 (c) 0 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 6 = -10*q. Solve -4 = v + q*k - 10, -2*v + 2 = -k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13011101 (base 4) to base 5\nAnswer: -1412014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 30*o**2 + 119 - 67*o**2 - 110*o - 43 + 31*o**2 = 0.\nAnswer: -19, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 2 + -2 + 3. Is (1 + 12 + z)\/((-4)\/(-68)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 890\/356 - (-3)\/(-6). Solve 3*i + 21 = 3*h, 16*i - 20*i = 2*h - f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 16*d + 10. Let m be k(7). Let r = m + -10. What is the smallest common multiple of 6 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/716 (b) -3\/2 (c) 1 (d) 2\/7 (e) -2\/3 (f) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**3 + 21*o**2 - 13*o - 5. Let n = -97 + 102. Let g(y) = -52*y**3 + 136*y**2 - 84*y - 32. Let l(q) = n*g(q) - 32*p(q). Solve l(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4. Let g(v) = 3*v + 27. Let r be g(-9). Let w be (-2 + -1)\/9*(r + -3). Let p(j) = -j - 1. Let x(l) = w*p(l) + n(l). Determine x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 - 4432*g\/15 + 4442\/3.\nAnswer: -2*(g - 5)*(g + 2221)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uppu when four letters picked without replacement from qpquppquqq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/36 and -179\/27972?\nAnswer: 27972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 2ba?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -76734 divided by 98?\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -181492002\nAnswer: 1\/181492002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 7*r**2 + 4*r + 1. Let y be k(-3). Are 25 and y non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13314488 divided by 1562\nAnswer: -8524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189614*i**2*k + i**2*r**2 + 2*i*k - 142579*i*r**2 + k*r wrt r.\nAnswer: 2*i**2*r - 285158*i*r + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (2 - 7 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16 = -0*r. Let y(v) be the first derivative of -v**3\/3 - 2*v**2 + 4*v - 1. Calculate the smallest common multiple of y(-4) and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100205 (base 6) in base 4?\nAnswer: -1322231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 16) to base 10.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1 + 15*d**2 + 1 - 22*d**2. Let u(a) = 13*a**2. Calculate u(v(h)).\nAnswer: 637*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -172 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 49317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*y + 116*y + 759*y = -661*y + 66918 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4193.1 + 4193. Which is the closest to 1? (a) 0 (b) 8 (c) -3\/2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/110592 and -149\/36864.\nAnswer: 110592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 9*d = 110. Let f = 21 + d. Calculate the lowest common multiple of f and 18.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13493 is divided by 13195.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 - 14*x - 16. What is the remainder when 799 is divided by z(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5242 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232014001 (base 5) to base 10.\nAnswer: 3001126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4 and (-122)\/48 + (-1 - (-2 - 3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 + 79. Let a = -39 - u. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/3)\/x**(-15)*x**13*x**(4\/3) assuming x is positive.\nAnswer: x**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-7))\/(1\/((-4)\/26))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 18*k - 20. Let m be i(-7). Is (10 - 2\/m)\/((-2)\/(-52)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -59 + 17. Let c(u) = -u**3 + 19*u**2 - 34*u - 28. Let m be c(17). Let b be (-108)\/m - (-2)\/p. Solve -b + 1 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 367218 and 2733734.\nAnswer: 24603606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 126d?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let p(i) = 291*i. What is b(p(m))?\nAnswer: -84681*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776, -1597, -2418, -3239, -4060?\nAnswer: -4881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.18 - -0.18. Is 1 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 778, -1, 3, -2, -155, 2 in decreasing order.\nAnswer: 778, 3, 2, -1, -2, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/296 and 5\/67636.\nAnswer: 135272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228367421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnttntnntnttnnltnt. Give prob of picking 3 t.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + m + 18. Suppose -12 = 2*t - 3*n, -3*t + 2*n = 2*t + 8. Calculate d(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 282.71559 months?\nAnswer: 23.5596325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - 6\/(-8). Let m be (5\/1)\/(0 + b). Suppose 0 = -m*f - q + 93, -2*f + 0*q + 3*q = -44. Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9337, 2 in increasing order.\nAnswer: -9337, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -26480.\nAnswer: -1\/13240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 121039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*-3 + 4.\nAnswer: -3*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-4\/5))\/(d**(-2\/9)\/d))**(-10)\/((d**(-4\/3)*d**(-2\/5))\/(d**(1\/5)*d**6)) assuming d is positive.\nAnswer: d**(-1003\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 11*q - 811. What is the least common multiple of q and 12?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*r + k + 4, -6 = -r - 2*k. Suppose 5*d - 28 = -3*a - 11, 3*a - d = 11. Let g = 1 + 1. Solve 8 = -r*l + 4*l + 2*z, l - a = g*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + -3*(sqrt(1872) + 2 + sqrt(1872)) + 2 + -1)*-2)**2*-1.\nAnswer: -4314112 - 36864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1\/2, -5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (206\/(-3))\/((-6)\/(-4824)). Let p = h - -20208. What is p rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6908 - 62174\/9. What is the smallest value in y, 1, 0.3, -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7aa (base 15) to base 5.\nAnswer: -23420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 150*n**2 - 4750*n - 742. Give j(27).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + 1 + -5).\nAnswer: -12 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1687677300 to the nearest 1000000.\nAnswer: -1688000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.1099 + 44.8901. Let u be 2\/6 + 34\/(-66). Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -0. Suppose 0 = 3*i + n - 34, -5*i + 33 + 25 = q*n. Find the second derivative of -i*y + 143*y**2 + y + 128*y**2 - 240*y**2 wrt y.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {w: 3, v: 2, d: 2, r: 4, q: 2, o: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -62. Suppose 0 = l*t - 51 + 31. Determine z so that z**5 - 3*z**t - 4*z**4 + 4*z**5 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -p - 8 + 13, -2*b + p = 3. Suppose q = -4, 7*q + 12 = o + 3*q. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 1. Let b be k(2). Let j be -3 - (-3 - (1 + 2)). Suppose 3*t - 2*g = 3*g - 1, -g - 7 = j*t. Sort t, b, -4 in descending order.\nAnswer: t, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 2 + 5 + 0*a - 6*a. Let l(r) = 11*r + 3. Let q(n) = 17*n + 5. Let k(z) = 8*l(z) - 5*q(z). What is 10*k(c) + 4*u(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 - -9)*1)\/2. Suppose 0*r = -l*r - 72. Is (r - (1 - 0))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9986635 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15429 and -1461.\nAnswer: 22541769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + r**3 + r**3 + (r**2 - 4*r**2 + 0*r**2)*(-2*r + r - r) + (14*r**2 - 31*r**2 + 11*r**2)*(5 - 5 - r) to y*r + m*r**3 + p + k*r**2 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21\/26 (b) 6\/17 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 66 + (207 - 223) + 15 + -1.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -282, -283, -284, -285?\n\"Answer: -u - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i**2 + 4*i**3 - 63*i**2 - i**3 + 33*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3da (base 16) to base 12\nAnswer: -6a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 5*v - 4. Let u be x(3). Suppose -28 = 5*k + 3*j + u, -5*j = -4*k + 13. What is the remainder when 38 is divided by 4\/k*(8 + -23)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -675 - -682. Sort -19, 1, k in descending order.\nAnswer: k, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**19\/j)*j*(j*j**(-13\/4))\/j*j*(j**(1\/7)*j)\/j**(1\/4) assuming j is positive.\nAnswer: j**(-243\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g + 2. Let i(l) = l + 1. Let n(s) = -6*i(s) - v(s). What is the derivative of n(b) wrt b?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjtttt. What is prob of sequence jjt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 + b**2 + 2*b - 4. Let i(k) = 7*k**3 + 3*k**2 + 4*k - 9. Let y = 54 + -50. Suppose -y*z - z = -20. What is z*i(v) - 9*q(v)?\nAnswer: v**3 + 3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20716526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5662503514.\nAnswer: 2, 17, 9689, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(7) - (sqrt(49)\/sqrt(7) + -1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 1141 - 1120 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -111909*f - 7945549. Calculate j(-71).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/9396 and 53\/2085332.\nAnswer: 168911892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-50)*(2\/(-12))\/((-14)\/42)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 - 735658*v\/3 + 11770784\/3.\nAnswer: -(v - 16)*(v + 735674)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -344*6*64\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183027930*z**4 + 14763112*z.\nAnswer: 2196335160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. What is the third derivative of 0*h**5 - h**5 + 2*h**3 - v*h**3 - 4*h**2 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 14*q - 16*q + 14 = 0, -4*q - 8 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 6:44 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -35, 9, 4.\nAnswer: -35, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/12 + 3*z**3\/2 + 10*z**2. Let x be a(-3). Solve -2*p - 12 = -2*g, 3 - 25 = x*g + 5*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.723 rounded to the nearest integer?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 109709, 104037, 98363, 92687, 87009, 81329?\n\"Answer: -d**2 - 5669*d + 115379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -14. Suppose -6*b - 80 = -z*b. What is the remainder when 57 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r + 215. Suppose -16*i + 17*i = -5*t + 839, 0 = 5*i - 20. What is the remainder when t is divided by r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2665919.62 rounded to the nearest 1000?\nAnswer: -2666000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2641, -10912, -24809, -44332, -69481?\nAnswer: -100256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-385)\/(-1540))\/((-2)\/3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5438, -5473, -5532, -5615, -5722, -5853, -6008?\nAnswer: -6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.5 + 31. Let m = -1 + 0.6. Put -8, k, m in decreasing order.\nAnswer: m, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -5 - 1\/240*r**6 - 6*r - 1\/48*r**3 + 1\/160*r**5 + 0*r**2 + 1\/96*r**4. Factor w(u).\nAnswer: -u*(u - 1)**2*(u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1054154 (base 7) to base 10.\nAnswer: -131114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 19 + 7 - (-10 - 1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, -5, -29 in ascending order.\nAnswer: -29, -10, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050*u - 5*i + 20 = 2048*u, -4*u - i = -4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 - -151.52. Round v to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 272 = -3*q, 5*t + 107 = -4*q - 243. Let x = 208 - q. List the prime factors of x\/4 + 0 + 6\/(-12).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -4.06. Let v = 5 - 1. Suppose v*u = -u. Which is the smallest value? (a) i (b) 0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.37 + -0.47. Let h = d - -0.1. Sort h, 6, -2\/7.\nAnswer: -2\/7, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 680 + -690. What is the remainder when 359 is divided by (-95*2\/l)\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 7. Let z be y(0). Let j = 3 - z. Let d(w) = 6*w + 16. Let p(x) = x - 25. Let r(i) = 5. Let l(f) = 2*p(f) + 11*r(f). What is j*l(a) - 3*d(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 38. Suppose 3999 = l*c + 299. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205411.\nAnswer: 17, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 3 + 11*s - 4*s - s.\nAnswer: 5*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 632 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 807\/30 + (-16)\/(-160). Suppose 4*f - 5*f = 2*n - 4, -4*f + 11 = 3*n. What is the greatest common divisor of r and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.423181 rounded to 3 dps?\nAnswer: 1.423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 281 + 7*v - 281 + 17*v - 5*v**3 + 6*v + 25*v**2.\nAnswer: -5*v*(v - 6)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 120338, 120313, 120266, 120191, 120082, 119933, 119738?\n\"Answer: -b**3 - 5*b**2 - 3*b + 120347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 9.6. Let k = y + 18. Sort -1\/4, 0.5, k.\nAnswer: -1\/4, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1576246.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/11293 or 3\/4?\nAnswer: -57\/11293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjjkjjjjjj. What is prob of sequence jk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*u = 33 - 54, 2*u - 38 = -4*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-30)*6*(-6)\/(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -19*u - 7. Let i be s(-5). Let w = -17 + 59. Suppose -5*m - 2*k = -w - 19, k = 3*m - 30. Calculate the highest common divisor of m and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 + 278658*i - 38825140482 = 0. What is i?\nAnswer: 278658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*5\/30*-180. Let g = 260 - q. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**6 - 397*z**3 + z**2 - 1426.\nAnswer: -120*z**3 - 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + 9062257378 - 9062257378.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.785127l to millilitres.\nAnswer: 3785.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1650 and 10010.\nAnswer: 150150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + 173. Suppose 5*o - q = -3*h, 3*h + 0*h - 275 = -o. Let z = -63 + h. Calculate the greatest common factor of z and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 15 = -3*a, 0*b = -2*b - 5*a + 25. Let d be (b - 1679)\/(1 - -5). Let o = d - -5749\/21. What is the common denominator of o and -63\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*v + 36 = 0. Let g be 3\/(v\/(-20)*5). Solve -5*k + 10 = 2*i, k = -g*i - i + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 5:54 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 21315890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 9*a**2 + 10*a + 11. Let t be y(10). Let n(x) = x**2 - 7*x - 2. What is the remainder when n(t) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2289*x**2 + 2429*x**2 - 1071*x**2.\nAnswer: 3647*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3751279*6.\nAnswer: 2.2507674","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9, -34, -59, -84, -109?\n\"Answer: -25*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -230*6\/36*(-6)\/2. Let j = t + -69. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(57)\/sqrt(3) - (sqrt(19) + ((1 + sqrt(19))*2 + sqrt(19) - sqrt(19)))) + -2 - (sqrt(76) + -1 - sqrt(190)\/(3*sqrt(10))))*-1)**2.\nAnswer: 110*sqrt(19)\/3 + 2524\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/5 + (2 - (-56)\/(-10)). Put -15, w, 0.3, 0.06 in descending order.\nAnswer: w, 0.3, 0.06, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23531*i**3 + 10970*i**3 + 12559*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from xhlxhnxlhnnnncc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -12, -47, -94, -159, -248, -367, -522?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*o - 7*o + 78 = 0, -3*k + 273 = 2*o. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3)*31 + 157 + -153.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5976, 11933, 17874, 23799, 29708?\n\"Answer: -8*m**2 + 5981*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 278353 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/360834 and -21\/16?\nAnswer: 2886672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 81 = -52 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4 and (-33)\/(-6)*2\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 13318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4403 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 24*a - 106. Calculate x(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/12 and 73\/432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(-27) - 7\/63.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/9*j**4 - 4\/3*j**2 - 10\/9*j**3 + 0*j.\nAnswer: 2*j**2*(j - 6)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 2*u - 7. Let i be y(-5). Let v(c) = -c**2 + 7*c + 10. Let x be v(i). Find the third derivative of 4*p**x - 2*p**2 - 5*p**4 + 6*p**4 wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8085? (a) 4 (b) 5 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 38*l - 140 = 0. What is the remainder when 136 is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(1 - 10\/4 - -2). Suppose 0 = 2*x - s - 122. Let t = x + 15. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b - 5*d + 2 = 0, -b + 4*d = -11. Let o be (-1)\/b - 1148\/84. What is the nearest to 2\/3 in -3, -2\/13, o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1 - (-1 - -2))\/(-2). Let u(d) be the first derivative of 3\/5*d**5 + 0*d**4 - 4*d + 0*d**3 - 3 + j*d**2. Differentiate u(w) wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5272 + 5272 - 22*r)*(-4 + 4 + 3*r) + 3*r**2 - 7*r**2 + 2*r**2.\nAnswer: -68*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14153 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 - 69. Let r be (-9 + 9)\/(2 - a). Is 2 + (r\/3 - -40) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*sqrt(363) + -5))**2 + 1.\nAnswer: -3960*sqrt(3) + 52498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6360 and 5578780.\nAnswer: 33472680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 186317739 to the power of 1\/2, to the nearest integer?\nAnswer: 13650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k + 26. Let o = 110 + -82. Calculate the smallest common multiple of p(-2) and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let y(t) = -7*t + 12*t + 9 - 4*t. What is the units digit of y(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 1 - 4 - 2.\nAnswer: 4*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18a2 + 1445a?\nAnswer: 16140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 40 = -4*f, 4*z + 33 = 139417*f - 139420*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + m - 42. Calculate b(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 58*a**2)*(-52*a**3 - 82*a**3 + 65*a**3 + (2 - 2 - 2*a)*(-a**2 + 0 + 0) - 4 - a**3 + 4).\nAnswer: 3944*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.1. Let c = 6 - 7. Suppose 3*a + 2*o - 4 = 0, 10*a - 6*a = 3*o + 11. What is the nearest to p in a, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 2805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4743687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*x + 1161 = 5283 + 1169 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 228*t + 921. Give i(76).\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 294 = 1425. Let l = s + -190. Let v be (1\/(-113))\/((-1)\/2). Is v at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0)*29355\/11330 - (-2)\/(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 10*b**2 + 8*b - 40. Calculate s(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2268 (base 12) to base 7.\nAnswer: -14102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/3465)\/(9\/((-126)\/4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -357? (a) 1 (b) 14 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbk when three letters picked without replacement from uusuuiuukbbiukiuuuu.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 68*k. Let c(u) = -u**2 - 12*u + 16. Let w be c(-13). Suppose w*h = -h + 3*l + 257, -2*h = 5*l - 161. Let g(v) = -37 - 31 - v + h. Give g(r(f)).\nAnswer: -68*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q + q - 5*q + (2*q + q - 2*q)*(0 - 3 + 1) + 0*q + 0*q - 2*q + 2*q - 5*q + 5*q + (-q + 2*q - 3*q)*(3 - 6 + 1).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 366*u + 10624. Give g(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*g - 11, -2*g - 2218*u - 38 = -2214*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 6*v + 11*v + 4*v + v**2 - 7*v to y*v + o*v**2 + z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 440533635*p**2 - 297615091 wrt p?\nAnswer: 881067270*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/((-4 + 0)\/2). Solve -6*p = -g*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14408.\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 8, 14, 20?\n\"Answer: 6*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 78*k**4 + 7*k**3 + 7*k**2 + 60. Let r(s) = -77*s**4 - 6*s**3 - 6*s**2 - 60. Let p(t) = 6*n(t) + 7*r(t). Differentiate p(z) with respect to z.\nAnswer: -284*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 108*x = 110*x - 103, -5*x = -4*f - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*v = 1 + 11, 24 = -t - 5*v. Let x be 16\/(-6)*6\/(-4). Suppose -x = -s + t. Solve -4*l + 24 = -5*w, -s*w - 6*l + 2*l = 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/8 - 5*i**4\/2 - 57*i**3\/4 + 405*i**2 - 3375*i\/8 - 10125\/2 = 0.\nAnswer: -12, -3, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255482*z + 4515 = 255587*z for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - 3*sqrt(2299)*-2)*2)**2.\nAnswer: 450604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 22*h**2 + 1228*h - 23769. Determine c(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 296, 370, 564, 938, 1552, 2466?\n\"Answer: 10*k**3 + 4*k + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 42. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 33*r**2 - 57*r + 196. What is w(-14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 10*q + 135. Suppose -q*b = -31*b + 88. What is the third derivative of -24*p**5 - 46*p**3 + 46*p**3 - b*p**2 wrt p?\nAnswer: -1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2089342*h + 1571942*h + 314603*h.\nAnswer: 3975887*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q + 3*j, -6*j - 61 = -5*q - 3*j. Let u(a) = -15*a - 10. Let p(b) = -b. Let o(s) = 10*p(s) - u(s). Let n(x) = -x - 2. Determine q*n(l) + 2*o(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(2448)) + 4 + sqrt(2448) + -1)**2.\nAnswer: 288*sqrt(17) + 39177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 8*d. Let k be x(8). Suppose -3*f + 6 = -k*f. Let q = 30 - 21. Solve -3*r + 0*r + q = 3*w, f*w = -5*r + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23618\/(-12) - (-3 + 15\/3). Let m = 1990 + r. What is the common denominator of 7\/22 and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5080 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -238 - -237. Sort 9, -5, y in decreasing order.\nAnswer: 9, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.04 + -0.04. Let k = -30 + 32.8. Let b = g - k. Round b to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 117*k**3 + k**2. Let y be g(2). Let u = 1490 - y. Suppose s + 3*b + 121 = 2*s, -4*b - u = -5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*1553293.\nAnswer: -46598.79","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 29*a + 100. Let u be x(32). Let i = 6 + -3. Suppose 15 - 11 = 2*v. Solve -d + i = -v*f, -2*d - u*f - 29 = -3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 15 = b. Let h be b\/((-12)\/80)*1. Solve -j + 21 = -z + 3*j, -h = -4*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 138*k**3 + 2*k**2 - k - 1. Let m be u(1). Let l = 134 - m. Let a be ((-35)\/(-21))\/(l\/(-12)). Solve -2*r + 5*q = 8, -a*r - 4*q = -r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15768 + -15768.8. What is the biggest value in x, -1\/7, 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 + 66*m**2 + 218*m - 1. Calculate o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = p + 3*q, -34*q + 32*q - 38 = -5*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280 = -4*m - 4*t, 0 = -2*m - 2*t - 2*t + 630. Let f be 600\/m + 2\/13. Suppose 0 = -5*w - f*h - 71, 69 = -5*w - h - 2*h. Is -16 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 71c - 5d7?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4253 + 6138. Solve -5*b - m = -1890 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 3*y**2 - y + 1. Let c be d(-3). Let i(a) = -a**3 + 3*a**2 + 4*a + 1. Let s be i(c). List the prime factors of 1 + -1 - s*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let w(t) = -3*t + 5. Determine -5*r(g) - w(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -84, -219, -480, -909, -1548, -2439?\nAnswer: -3624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65517, 262061, 589633, 1048233, 1637861, 2358517?\nAnswer: 3210201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7531*q**6 - 2073*q**2 + 2*q + 2?\nAnswer: -903720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + 5 + 2 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 26423. Let u(y) = 9*y**2. Give u(m(h)).\nAnswer: 9*h**2 - 475614*h + 6283574361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 970229 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 + 1604*j + 72554. Give s(361).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -31. Suppose -w = 5*b - 178. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*q + 28 + 41. Solve b - q = 0, j + j = -2*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t**2 + t. Let u(c) = -4*c**3 + 4*c**2 + 2*c - 2. Let r be ((667\/(-69))\/(-29))\/((-1)\/3). Determine r*u(d) + 2*z(d).\nAnswer: 2*d**3 - 6*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (35 + (-15 - 11) - 44)*-2\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -2, -4, -6 in decreasing order.\nAnswer: 2, -0.3, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0*p**4 + 2*p**2 - 3*p + 1\/12*p**5 + 0*p**3 + 0. Let o(t) be the first derivative of j(t). Let q(f) = -2*f**2. Give o(q(s)).\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:12 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 4)\/((-6)\/(-1060)). What is h rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209256515.\nAnswer: 5, 13, 3219331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70957 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 3)*(-157*f - 132*f + 40*f) - 2*f + 0*f + 0*f + (0*f + 4*f - 5*f)*(0 + 1 + 0) + 2*f + 0 + 0 to l + n*f and give n.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 325 and 275?\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -9791.\nAnswer: 5\/9791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 53.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 18 (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369940932 is divided by 637.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000120 (base 3) to base 7.\nAnswer: -141453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6115104 and 8874.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, o: 1, c: 3, x: 1}. Give prob of sequence ssso.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1000110110111110 (base 2) to base 11\nAnswer: 25298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 2*c + 2*c + 5*q, 4*c - 6 = 2*q. Suppose 5*b = 3*p - 35, p + 3 = -2*b - 0*b. Let x(o) = 0*o - 2*o - 6 + p. Let d(l) = l. Calculate c*x(f) - 3*d(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-5 + sqrt(95))\/sqrt(5) - sqrt(19) - sqrt(95)\/sqrt(5)*-1.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 25*b. Let d(n) be the first derivative of -23*n - 4*n**2 + b*n**2 - 2*n**2 + 2. What is the derivative of d(w) wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/6*(-3 + 2). Let x = 36 + -256\/7. Let a be 1\/3*6\/(-4). What is the closest to 3 in a, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 151692311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*x**2 + 653*x**2 + 560*x**2 - 2271*x**2 + 340*x**2.\nAnswer: -152*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -56, 4, -4, 45 in descending order.\nAnswer: 45, 5, 4, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5451400 is divided by 85?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 339, 1, 1\/6, -0.3, -9\/2 in decreasing order.\nAnswer: 339, 1, 1\/6, -0.3, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = 12*d. Let n(o) be the first derivative of 0*o - o**d + 0*o**3 - 1\/2*o**4 + 6. Find the second derivative of n(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 4*n - n + (-2*n + 0*n + 5*n)*(-1 + 2 + 2))*(-3 - 3 + 4).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000551 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 26. Let g be p(0). Suppose g = 15*f - 2*f. What is the remainder when (-2)\/(-6) + 190\/15 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 25 = 2*v, -4*v + 703*g = 708*g - 71 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 16 = 2*c. Suppose 0 = 12*t - c*t. Solve 3*d = -3*j - 3, -j = -t*j + 4*d + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 59 + 26 - 10*n + 6*n + 19*n. Let a(y) = -y - 6. Let x(r) = -85*a(r) - 6*h(r). Let i(v) = -86*v - 84*v + 166*v. Give x(i(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 1100?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7987 - -0.2987. Let n = 2 - 8\/5. Which is the second smallest value? (a) 4 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 404.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 5*k - 5*k + 10*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*1 - sqrt(33) - sqrt(33))\/(sqrt(18)\/(sqrt(36)\/sqrt(6))).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - q + 3. Let s be r(0). Suppose -4 = -m - 1, -3*b - s*m = -24. Suppose 3*l - f = 14, 10*l - 26 = b*l - f. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.381 - -154.619. Let l = -155.2 + z. Put 4, 1\/3, l, -2\/3 in descending order.\nAnswer: 4, 1\/3, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -803*i**4\/4 + 419*i + 604. What is the first derivative of f(d) wrt d?\nAnswer: -2409*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*(-4)\/2)\/((-6)\/66). Let n(i) = i**2 + 14*i - 17. Let p be n(t). Let z = -53 + p. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k**3 - 5*k**2 + 4*k - 6. Let u be p(-5). Is u*(-2)\/(-16)*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 14, p: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 = 3*n, -5*p = n + 2*n - 35. Find the third derivative of -2*h**4 + 2*h**p - 5*h**2 + 4*h**4 wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 10. Let h be t(-6). Let -h*y**2 + 9*y**2 + 3*y**3 - 4*y**2 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/l**(2\/5))\/((l*l*l**(3\/2))\/(l\/(l*l\/(l*l**(-2)\/l)))) assuming l is positive.\nAnswer: l**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -70*c + 12. Determine g(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131559025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-5))\/l**(7\/5))\/(l*l**1)**(1\/8))\/(l**(-6)\/((l\/(l\/l**(1\/2))*l*l*l)\/l*l))**(-16\/7) assuming l is positive.\nAnswer: l**(-2431\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -188 * 0.8.\nAnswer: -150.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116899185?\nAnswer: 3, 5, 13, 53, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 2*k**2 + k - 1. Suppose -5*x + 9 = -1. Let b be x*(-2)\/(-4) + 1. Let w be i(b). Solve -5*v + 3*o + 17 = 0, -4*o + 3*o + w = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/3, -4\/5, -1075, -1\/4, -0.07, -3?\nAnswer: -1075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -27, -2\/21, -0.5, -4.4, 8, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18321618 divided by 24171.\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*g**5 - 4 + (0*g**5 + 6*g**5 - 4*g**5)*(-3 - 2 + 0) + (0*g**4 + 4*g**4 - g**4)*(-6*g - 3*g + 0*g).\nAnswer: -35*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 25*c**2 - 14*c + 26. Let a be i(12). Find j such that -2*j - 1\/2*j**a - 2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -6)\/((-4)\/468). Let s = p + -112. Suppose 3*c + s*h = 565, -3*c = -h + 2*h - 569. What are the prime factors of c?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/8 - 2250*z - 3375000.\nAnswer: -3*(z + 3000)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*r - 19*r + 83*r)*(r - 1 + 1)*(r + 2*r - 2*r).\nAnswer: 114*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 - (-2 - -3)\/1. Suppose i - y = -i. Sort i, 0.2, 2\/13 in decreasing order.\nAnswer: i, 0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -20\/3 (b) 5 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(26376\/(-30))\/(-28). Sort -5, 0, u, -27 in increasing order.\nAnswer: -27, -5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19131 is divided by 61.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31 (b) -1.1 (c) -0.3 (d) -1 (e) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 786407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*6*29\/(-6003))\/(16\/(-8)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 3477215*s**2 + 604685058355*s - 46540135368265.\nAnswer: 5*(s - 347683)**2*(s - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k. Let l(w) = -12523157*w - 2. Calculate g(l(p)).\nAnswer: -25046314*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + 2.4. Let w = x - 0. Sort 0.4, w, 4\/3 in decreasing order.\nAnswer: w, 4\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523843 is divided by 173?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:33 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puox when four letters picked without replacement from xoucp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*k - 14, -k - 5 - 5 = -4*s. Let q be (-64)\/6 + 6\/9. What is the units digit of (12\/10)\/(k\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -88367811241\nAnswer: -88367811238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, z: 3, y: 4}. What is prob of picking 1 z and 1 p?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76691 - 7209057\/94. What is the common denominator of 6\/4*268\/(-12) and t?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12545 (base 6) to base 11\nAnswer: -1501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43268 and 0.3.\nAnswer: 43268.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6798 + 8156. Calculate the highest common factor of q and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 837, 916, 999, 1086, 1177, 1272?\nAnswer: 1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12*(-19)\/((-95)\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + f = -0*y + 95, 4*y - 3*f + 375 = 0. Suppose -29*i + 0 + 7 - 94 = 0. Sort i, y, 0.\nAnswer: y, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*t + 18*t - 1 + t**2)*(0 - 7 - 2)*(-2*t**3 + 7*t**3 - 3*t**3).\nAnswer: -18*t**5 + 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 466*o = 463*o - 29, 11 = 2*h - 5*o for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-2)\/(-2)*0\/(-10). Let t be 120575\/14*d*(-4)\/10. Round t to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1692 divided by 3\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360 = -9*x - 342 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 6. Let g be (-92)\/28 + (-4)\/(-14). Let a(k) = 3*k + 4. Let f be a(g). Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3141 - 3141.179712. Let z = 0.18 + b. What is z rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9508313.9 rounded to the nearest one thousand?\nAnswer: 9508000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4022 + 3?\nAnswer: -4016","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 z when two letters picked without replacement from {v: 10, z: 3, u: 4, m: 1}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 38 - 7) + -2 + (-6 - -9) - -10.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 4863073 + 2*g - 3*g - 4863076 - 6*g.\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 17 = -3*b + 39*k - 133, 4*b + 2*k + 9 + 7 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 11\/3*l**3 - 24*l + 1\/4*l**4 + 0 - 12*l**2. Is h(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/(-52)*(1\/4)\/(6\/72).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - -89. Let b(f) = f + 11. Let l be b(-6). Sort x, l, -1 in decreasing order.\nAnswer: l, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*w - 3, 14 + 16 = 4*s + 2*w. Suppose g = 0, -2*k - 3*g = -s*g + 14. Sort -2, -5, k.\nAnswer: k, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326370 divided by 5?\nAnswer: 65274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 470 - 591. Which is greater: 2\/15 or a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p**2 + 3*p**2)*(41429168*p - 41429168*p - 30837*p**2).\nAnswer: -30837*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 2 + 4 - 3. Let q be b(2). Suppose -20 = -h - 4*h, 4*g + 2*h - 8 = 0. Solve g = t - 3*t + q*d + 10, 0 = -3*t + 3*d + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27888.657 months in centuries?\nAnswer: 23.2405475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -174 + 95 + (0 + -1 - -17)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 375 by -5.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 5*q**2 - 8*q - 6. Let i(t) = 4*t**2 + 3*t - 4. Let b be i(-6). Let h = 117 - b. Calculate the common denominator of r(h) and -81\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -22, -5, 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3264 = 5*o, 31*o - 2*x = 28*o + 2008. Calculate the least common multiple of 1 and o.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 8*j**2 - 6*j - 25. Suppose c + 1 = 2*l + 10, 0 = -5*l. Let w be d(c). Find the second derivative of 0*m**w + 7*m - 3*m - 6*m**2 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 48768 (b) -0.1 (c) -2\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/27 (c) 0.3 (d) -2\/7 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337024495 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 17*r**2 - 19*r + 18. Let c be (-3)\/(-21) + (-500)\/(-28). Let x be p(c). Suppose 6*s - s - 155 = x. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 81 and 1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.005 + 3.995. Which is the nearest to q? (a) 0.02 (b) 3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(180)*2 + -2*sqrt(180) + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jer when three letters picked without replacement from {g: 4, r: 5, j: 1, d: 1, e: 3}?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + 6. Suppose -m + 6 = -u. What is the remainder when 34 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 128\/3*45\/20. Let n = l + 8. Suppose -u - 4*a = -55 + 15, 4*u = -2*a + n. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1582?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c. Factor -4*b**3 - 3*b - 12*b**2 - 4*b + c*b - b.\nAnswer: -4*b*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/421 - -1258\/2105. What is the nearest to v in 1\/4, -1\/6, 24, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (236 - 236)\/((-1)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -113484180 - -210.95\nAnswer: -113483969.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/((-1380)\/(-45)) - 1\/8*-586. Solve -u*d = -20*d + 162 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 10 = 4. Suppose -r = 7*d - 9*d. Let q be (-10)\/(-15)*3 + (d - 3). Solve -6*x + 2*x + 20 = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31\/75 + 1\/75. Which is the second biggest value? (a) j (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 183\/126 - 2\/12. Let u = g + -25\/14. What is the third smallest value in u, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0*y**4 - 2*y + 1\/9*y**3 - 1\/10*y**5 + 0 + 2\/45*y**6 + 0*y**2. Factor u(w).\nAnswer: 2*w*(w - 1)**2*(2*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**4\/24 - 3*s**3\/2 + 5*s**2. Let z be c(13). Let q(a) = a**2 - 4*a + 4. Calculate q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -42.95 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46284 and 1160?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26504754 and 1688433.\nAnswer: 12147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -3*g**4\/8 + g**3\/6 - g**2. Let c(r) = -17*r + 2. Suppose 0 = -2*p + 10 - 0. Let j(w) = p*k(w) - 2*c(w). Give j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58590 and 465.\nAnswer: 58590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-45.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 8*a**2 + 3*a + 2. Let k be x(0). Sort k, 1, -9, -13.\nAnswer: -13, -9, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*g**2*z + 493*g**2 + 56*g*z + 4*g + 4*z wrt z.\nAnswer: -35*g**2 + 56*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4446 (base 8) to base 6\nAnswer: 14502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 2. Let y be d(-6). Suppose -5*l = -4*p + 15, l - 5*p = 1 - 4. Sort -1, l, y, -5 in ascending order.\nAnswer: -5, l, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 11) to base 2\nAnswer: 111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18121 + -18122. Let n = 497\/5 - 100. What is the closest to m in -4, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (-27 + 73 + -8)) + (-1 - (-1 + 25)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18396, 18395, 18392, 18387, 18380, 18371?\nAnswer: 18360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.206993766 - 6.207. Round n to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -545 - -12?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242481559 is divided by 12135?\nAnswer: 12124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4674 by 2.\nAnswer: 2337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millisecond in microseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -28, -33, -34?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2611 + 1628?\nAnswer: 4340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 24, -0.5, 0, -36, -5\/39?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*j + 83*j = 0. Let p(d) be the first derivative of 0*d**2 + 16\/3*d**3 - 4 + j*d. Let l(h) = 2*h. Determine l(p(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 65269 divided by 3\nAnswer: 65269\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24488 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, -1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, j: 2, z: 3, d: 6, o: 2, v: 5}. Give prob of sequence vudv.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 14*s + 7. Let j be i(3). Let g be ((-8)\/32 + j\/8)*14. Suppose 4 + 18*y**2 + 4*y**3 + y**4 + 6*y**3 + g*y + y**4 + 0*y**3 = 0. Calculate y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 9689.\nAnswer: 87201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Suppose -2*r = 8 + v. Let c = 6 + -13. Put r, c, 0 in decreasing order.\nAnswer: 0, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 535 - 536. Let c = -252458510897\/161725195 - 12\/2741105. Let b = c + 1561. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*h**3 + 0*h**3 + 7*h**3 + (-h**2 + 4*h**2 + 0*h**2)*(9*h - 7*h - 5*h).\nAnswer: 61*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 40 = -6. Calculate the remainder when q is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 42, 5, 1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 2527*g + 2527*g + 6.\nAnswer: 3*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 10:37 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.0756 rounded to 1 dp?\nAnswer: 28.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 93 - 145 = b, 2*b - 232 = 4*n. Let d = -2 - n. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2434*i**3 + 8*i**2 - 11*i - 12. Let g be w(6). Let z(a) = 117234*a - 2. Let d be z(2). Let k = d - g. Round k to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -212 and 0.05.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 424, 422, 422, 424, 428, 434, 442?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -1\/4 (c) -5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.08, 1\/4, -3, 284, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7885735 or 7885705?\nAnswer: 7885735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7729655 plus 0.09?\nAnswer: 7729655.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11858 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/8 (b) 4\/7 (c) -2\/9 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7569 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521045 (base 6) to base 2.\nAnswer: 1010001011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7339096 less than -8.927018?\nAnswer: -7339104.927018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 735?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p**3 + 1\/24*p**6 - 3*p**2 - 25*p - 15\/4*p**4 - 17\/12*p**5 + 0. Factor u(r).\nAnswer: 5*r*(r - 18)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-1\/12)*f)\/f)\/f)\/f*f)**(-1\/30)*f*(f**(2\/31)*f*f)\/f*f**(-21)*f*f*f assuming f is positive.\nAnswer: f**(-177809\/11160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*27\/72.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/16 + (-39)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 - z**4 - 2*z**4 + (-1 - 10 + 6)*(-2*z**2 + 2*z**2 + 2*z**4) as b*z**2 + c*z + q*z**3 + x*z**4 + a and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 18631*q. Let u(l) = -2*l. What is j(u(s))?\nAnswer: -37262*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 174*c**3 - 5*c**2 - c - 54. Let f(b) = -5*b**3 + b**2. Let t(z) = 10*f(z) + 2*o(z). What is the second derivative of t(w) wrt w?\nAnswer: 1788*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -883002?\nAnswer: 882ddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59, 113, 155, 185?\n\"Answer: -6*t**2 + 72*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*b. Suppose -2*o + 4 = -0. Find the third derivative of l**2 + 0*l**3 + 0*l**o + b*l**3 + l**3 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.998 + 0.112. What is w rounded to one decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -16\/7*p**2 - 48\/5*p**5 - 7\/3*p**6 + 64\/7*p**3 + 2 - 44\/7*p**4 + 0*p. Let n(y) = 0. What is y?\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (294\/(-56))\/(54\/(-4))*26\/(-364)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**1)\/n)**41)**38*(n**0*n)**(-6\/31)\/((n**1*n)\/(((n*n\/n**(6\/11))\/n)\/n)) assuming n is positive.\nAnswer: n**(1061622\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6015256 to the nearest integer?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -489*r**3 + 7*r**2 + 10*r + 101. Let j be x(-6). Suppose 4*w - 11*w = -j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4503, 6847, 10753, 16221?\nAnswer: 23251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 27*r**2 + 156*r + 465. Determine u(-23).\nAnswer: -1007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, s: 4, v: 2, a: 2, d: 1, e: 1}. Give prob of picking 1 v and 1 d.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 423*y - 1123 + 23542 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1256 - 444. Suppose 4*t - 8*t = -z. Suppose 3*a - 184 = t. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2884793*s**5 - 48*s - 11429.\nAnswer: 57695860*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(1*(-6)\/8). Let t = 0.2 + -2.2. Let i = 123.9 + -124.2. What is the nearest to t in -1, y, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - p - 2. Let w(g) = 8*g**2 - 3*g + 22. Let s(f) = 3*i(f) - w(f). Let m(n) = -n. What is m(s(t))?\nAnswer: -t**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325)*-1 - sqrt(325)) + sqrt(325))**2 - sqrt(325))*-5 + -2 + (sqrt(325) - (0 + sqrt(325)))*6*6.\nAnswer: -1627 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*c = -4*c + 16, g - c + 9 = 0. Let t = 1.741 + -153.941. Let b = 152 + t. Put b, g, 0.5 in descending order.\nAnswer: 0.5, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, c: 7, f: 4}. Give prob of sequence wc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8*(-1)\/(-5))\/(9\/(-8)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434 = -u - 433 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2842, -2802, -2762, -2722?\nAnswer: -2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*g - 2 + 11, 0 = -3*h - 5*g + 11. Let z be (h - (2 - 0))*(-1)\/(-2). Solve -l - l + q + 11 = z, 21 = 4*l - q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889462.\nAnswer: 2, 7, 63533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75*x**2 + 19*x**2 + 24*x**2 - 465 wrt x?\nAnswer: 236*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -866101, 5, 2 in decreasing order.\nAnswer: 5, 2, -866101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.647 to one decimal place.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i = -88*i + 832 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*n + 301*n - 508*n = -16488 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -370106 (base 9) in base 6?\nAnswer: -4441053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/35 and 52\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-20)*a)\/a)\/(a*a**(-6\/11)))**(-50) assuming a is positive.\nAnswer: a**(10700\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 45*p**4 - 5*p**2 - p + 6. Let u(x) = -46*x**4 + 6*x**2 + x - 7. Let h(o) = 6*t(o) + 5*u(o). Find the second derivative of h(z) wrt z.\nAnswer: 480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(540)\/sqrt(5) + -2 + sqrt(30)\/sqrt(10) + 3.\nAnswer: 1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -7 - -4) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 53*25*30\/(-19875)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*w - 5*x, 371*x - 374*x = 12 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -167 + 9e5?\nAnswer: 87d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 7*l**2 - 10. Suppose -13 = q - 6. Let m be u(q). Let f = m + 14. Solve f*c = c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - l = l, 4*l = -3*x + 2. What is the highest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 2*b**3)*(b**2 - 2 + 2 + 2).\nAnswer: -2*b**5 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/d**(-3\/2)*d)*d*d)\/d*d)\/d**(-3\/4))\/((d\/((d*d\/(d**(2\/3)\/d*d)*d)\/d))\/d**(-2)))\/(d**0*d*d*d**5\/d*d)**36 assuming d is positive.\nAnswer: d**(-3041\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 12. Let y be i(-9). Suppose -3*x + 12 = -3*h + 33, -25 = 5*x. What is the third derivative of 3*v**h + 4*v**3 - 4*v**2 - 2*v**y wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -34. Suppose -604 = -n*j - 136. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 113*h**2 - 908*h + 40. Determine w(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 + (-64 - -184) + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57024777 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 346146 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 32*m**5 - 5*m**4 + 78*m**3 + m**2 - 1089*m + 7. Let f(v) = v**4 - 1. Let p(b) = 5*f(b) + t(b). What is the second derivative of p(d) wrt d?\nAnswer: 640*d**3 + 468*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = -6*n. Suppose 114 - 19 = n*z. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**3 - 4*h**2 + 4*h - 5. Let b(z) = 3*z**3 - 2*z**2 + 2*z - 2. Let n = -323 + 318. Determine n*b(d) + 2*a(d).\nAnswer: -3*d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -90*a**3 + a**2. Suppose -2 = 6*y - 4*y. Let g = 0 + y. What are the prime factors of s(g)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/7 + -4 + 90\/21. Solve 4*n + 20 = -2*s, -2*n - 2*n - f*s = 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f\/f**(-2\/13)*((f\/f**(-2\/7))\/f)\/f**4)**(-21\/2) assuming f is positive.\nAnswer: f**(699\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + 2 + 1*(1 + 0 + sqrt(192) - sqrt(192))*3*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let q(j) = -10*j. What is the units digit of q(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30380 divided by 490\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 10*j - 73. What is c(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277.5 - 234.6. Let o = -43.35 + 0.35. Let d = k + o. Which is the second biggest value? (a) d (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - (5 + (-9 - -4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 29. Suppose y = -2*z - 16 + 10. Let p(s) = 4 - 4 + 6 + s. Give p(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*b - 426 - 87. Calculate the lowest common multiple of 201 and b.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1712\/(-2140) + (-3)\/((-135)\/46). What is the smallest value in 2, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1040664 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Let o = p + -1. Suppose -32 = -3*f + 4*v - 4, -o*f + 5*v + 21 = 0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 3*l + 1. Suppose 4*v - 18 = -2*d, -5 - 11 = -3*v - 2*d. Let m be q(v). Sort m, 0, -3.\nAnswer: -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 + 5*y - 2. Let c be z(-6). Is 9 a factor of (-46)\/(-3)*6\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762 = -43*t - 173 - 30 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/234)\/((3\/2)\/(54\/27))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11.1 + -113.741\nAnswer: -124.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*(-920)\/(966\/(-21)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12635191 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3*2\/30). Suppose 0 = -t*d - 5, -r - 2*d = r - 4. Solve -5*v + r*s = 26, -6*v = -2*v + 5*s + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468 and 1333800.\nAnswer: 1333800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {o: 1, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 2 j when four letters picked without replacement from mmamxxxjxxmxjmhx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3355 = -u - 3358, 3*u = -4*c - 33. Let v(q) = -3*q**2 - 12*q - 9. Give v(c).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7\/7 - (28 + -9 + -4 + 10)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -2*28\/8)\/3. Solve 4*s = -q + 3, 5*q - 2*s + 29 = -d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 49, 37, 23, 7, -11, -31?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-7 + -4 + 6 - -10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pputthuottottuuuuut. Give prob of sequence otp.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 738151567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-58)\/(-6) - 5\/(-15). Suppose 78 = 2*l - 82. Calculate the highest common divisor of c and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3979709, 3979695, 3979681?\n\"Answer: -14*m + 3979723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 26*p**2 - 78*p - 78. What is the smallest common multiple of v(-19) and 39?\nAnswer: 74568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12 - 3*q - 38 + 25*q**2 + 13. Is u(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -82 (b) 539 (c) -2 (d) -2\/5 (e) -5\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43389 or 1?\nAnswer: 2\/43389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -73 - 30 - 39.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let l(n) = 102*n**3 - n**2 - n - 1. Let k(g) = -509*g**3 + 5*g**2 + 4*g + 5. Let y(b) = 2*k(b) + 11*l(b). Is y(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -0.5, 1, 2, -0.05109, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 31. Suppose -9*a + 7*a + r = 0. Let v be 3*12\/18 + 44\/a. What is the greatest common divisor of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*d**3*z - 14*d**2*z**2 - 6*d**2 - d*z + 52*z**2 + z wrt d?\nAnswer: -66*d*z - 28*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {i: 2, s: 1, l: 2, g: 1, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5))**(-28) assuming i is positive.\nAnswer: i**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5 + 3 + 19*q**3 - 18*q**3 + 1 - 14*q + 41*q**2 to the form h*q + a*q**3 + b + s*q**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.13*-6818.\nAnswer: 41794.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/11 - 52102*j**2 + 1146250*j\/11 - 573126\/11 = 0. What is j?\nAnswer: -286563, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-6)\/8)*(-26)\/((-52)\/(-21))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -598172 by 3.\nAnswer: -598172\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/3, 2.1, 19032 in increasing order.\nAnswer: 2\/3, 2.1, 4, 19032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 774 divide 229831560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d - h - 6, 3*h + 15 = -4*d. Suppose d = 5*g + 3*r + 175003, -2*g = -3*g + 2*r - 34998. What is g rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 0 + 1 + 7*o + o**2 + 3. Let g be s(-5). Let l be 49\/(-105) - 4\/g. Which is the closest to l? (a) 2\/11 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -9, -1\/9, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 16*k**3 - 66*k**2.\nAnswer: 2*k**2*(k - 3)*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -165697 - -165880. Let p(t) = 4*t**3 - 2*t + 3. Calculate the remainder when z is divided by p(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1591, -3170, -4739, -6292, -7823, -9326, -10795?\nAnswer: -12224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 510800214 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 140552636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*u + 3 - 6 + 24*u)*(-u + 2*u**3 + u) as s*u**2 + h + d*u**3 + m*u**4 + q*u and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41375 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 109638583 to the power of 1\/2, to the nearest integer?\nAnswer: 10471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -109703, -219890, -330077, -440264, -550451, -660638?\n\"Answer: -110187*o + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12123*f**5 + f**4 + 57*f**3 + 7459210*f**2 + 2 wrt f.\nAnswer: -727380*f**2 + 24*f + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.5 + -18.5. What is the smallest value in -9, -1, y?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + -23002210330?\nAnswer: -23002210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Suppose 6 = 2*k + 3*n + 5, -5*n + 8 = -3*k. Put k, 2, d, -3 in descending order.\nAnswer: 2, k, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 13*v + 4. Let w be g(-13). Let z(l) = 3 - 8 + w*l + 0 + 720*l**3 + l**2. Let j be z(-5). Round j to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**7\/315 - l**6\/120 + l**5\/18 + l**4\/6 - 4*l**3\/9 + 51*l**2. Let u(s) = 0. Calculate s.\nAnswer: -2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1904 * -532.\nAnswer: -1012928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 131 - 204 + 131 + 9*q. Let k be l(-6). Solve 3*b - 4*b + k = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-105)\/14)\/((-3)\/(-4)). Let t = p - -16. Solve -12 = 4*g, 0 = 2*x - t*x - 2*g - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = z - 7*z. Let p = z - 55. Let f = -54 - p. Which is smaller: -24\/17 or f?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 38 = 4*m. Let o(a) = a**2 + 15*a + 4. Is o(m) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.5, 1\/5, 6179, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g**3 + 2*g**2 + 16*g**3 - g**2 - 116*g**4 - g**3 - 105 wrt g.\nAnswer: -2784*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 23 = 43*a - 41*a, m - 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, -11, -43, -111, -227, -403?\n\"Answer: -2*w**3 + 6*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1, -29, 8 in descending order.\nAnswer: 8, -1, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 857.77754 to 1 dp.\nAnswer: 857.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + q**4 - 4*q**4)*(41 - 22 + 30) + (3*q - 7*q + 2*q)*(q - q + q**3).\nAnswer: -51*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 997166.6 kilometers to micrometers.\nAnswer: 997166600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-588)\/240*(-4)\/(-6)*6. Suppose 0 = r + 4, -2*x - 5*r = 38 - 0. Which is bigger: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -24*u**7\/35 + 28*u**5\/15 + 2*u**2 - 77*u. What is the third derivative of w(r) wrt r?\nAnswer: -3456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -586, -442, -34, 638, 1574, 2774?\nAnswer: 4238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o + 0*o - 4*o. Suppose -q + 12 = 5*d, -14 = -3*q - 3*d - d. Let f(w) = 4*w**2 + 2*w**2 - w**2 - 2*w**q. Calculate p(f(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51*(-2)\/(-27) + 2 + 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*x + 122, -3*x - 7*g = -2*g - 121. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from hbbb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/6 + 67*m**2\/6 + 398*m\/3 - 4256\/3.\nAnswer: -(m - 76)*(m - 7)*(m + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/18 - -4 - (-34)\/(-6). What is the nearest to -1\/3 in 2, 2\/9, i, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -704 and 3\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 8. Let o = 17 - 9. Let v be i(o). Suppose v*a + 3*a - 78 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 19, -3, -35, -77?\n\"Answer: -5*p**2 + 3*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1281 and 251906637.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 123. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 + -522\/5. Put -14, n, 2\/11 in decreasing order.\nAnswer: n, 2\/11, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3\/2 + 330*z**2 - 18150*z = 0.\nAnswer: 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56 and -0.363.\nAnswer: 20.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16349925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, k: 1, s: 1, b: 1}. What is prob of picking 1 w and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4.2, -4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373900.\nAnswer: 2, 5, 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3750372 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 5*k**4 - 2*k**4 + (-1 + 2*k**3 + 1)*(2*k + 0*k + 0*k) + 0*k + 0*k - k**4 + 7*k**4 - 9*k**3 + 10*k**3 + k**4.\nAnswer: 15*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*p)*(-p**4 - p**4 + 5*p**4) + (2*p - 2*p - p**2)*(-p**3 + 3*p - 3*p).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + 3.5. Let y = h + 9. Which is smaller: -2\/3 or y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1659\/4 (b) -2\/5 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 117*m**3 + 3*m**2 - 2*m. Let j be c(2). Suppose -5*i - j = -294. Let q = i - -209. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**24*h)**40)**(-17) assuming h is positive.\nAnswer: h**14960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5041 (base 9) in base 10?\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1420170 or -1420130?\nAnswer: -1420130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + -3 + -2 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2579664710 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/87 + 161\/1131. Let u be (-404)\/18 + 38\/(-171). Let o = u - -23. What is the nearest to o in f, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61624868.\nAnswer: 2, 2843, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) + 210\/(-25) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 10:37 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.6 + 36.6745. What is g rounded to 3 decimal places?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8145657 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10942553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 69. Give k(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*x + 423*x + d = -85, -3*x + 4*x = -2*d + 17 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (-14)\/6)\/(5\/390). Suppose 4*c - l = 4*n - 2*n, -6 = 3*n. What is the lowest common multiple of c and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 26. Let h = -23 + u. Let g be 0 - h\/(8\/12). Solve p = -g*d + 4 + 7, -4*p = -d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 11:27 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 7*v = v - 54. Solve 2*x = -v*h + 19, 7*x - 5*x = 5*h - 21 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1605*g**3*z**2 + g**3 + 11846*g*z**2 + 869*g*z - 60*g + 2*z**2 - 135*z wrt z.\nAnswer: -3210*g**3 + 23692*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -50, -105, -180, -275?\n\"Answer: -10*s**2 - 5*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 331*l - 1247 - 1263 + 2509 + 805*l + (-2 - 1 + 5)*(l + 2*l - l) to h + g*l and give g.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 19057508. Let i(z) = -5*z. Calculate c(i(t)).\nAnswer: -5*t + 19057508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3876.56 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxrrujjxrxjrxrcrxr. Give prob of picking 1 x and 1 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10295131 divided by 341\nAnswer: -30191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*n = -110, -a - 4*n - 20400 = 3*a - 20540 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -200 (b) 3\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 958784, 3, 1?\nAnswer: 958784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7557 divided by -2519.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13176 and 790712256?\nAnswer: 7116410304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/2 - 2)*-2. Let y be 7\/(-4)*(-5 - u). Let j = y + 3. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/30299 and -19\/11.\nAnswer: 333289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 39, 146, 359, 714?\nAnswer: 1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2 (c) 8\/11 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.12 + -1.12. Which is smaller: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -4, -230, 5, -9, -1, 0 in ascending order.\nAnswer: -230, -36, -9, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59.222 and -0.1.\nAnswer: -5.9222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2136972 divided by 14439\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -764 + 1652. Suppose -7*j + r = j. Let i = -17 + j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (727 - 0) + (-4 - -1) + 3. Let y = i - 408. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -151 in -5, 2\/11, -2.3, -0.71, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 3 - 2\/(-1). Suppose 0 = 2*q - 0*a + 2*a, 0 = -3*q - 4*a + i. Is q at most -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -170 and -168 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0161 (b) -75 (c) -714\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -0.3, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/(12\/16). Suppose 6 = b + p*b. 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 -4 - (-4 - (-7 - (-4 + 0)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*a - 62*a + 112*a)*(-2 - 2*a + 2) to y*a**2 + i + l*a and give y.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ceba0 (base 15) to base 3.\nAnswer: -11002120002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94029, -752553, -2539975, -6020745, -11759313, -20320129?\nAnswer: -32267643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 2552\nAnswer: 30624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*p + 2 = -0*y, -4*p = -y + 1. Suppose 13 + y = h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449202084.\nAnswer: 2, 3, 17, 2201971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204151 (base 6) to base 15.\nAnswer: 4d3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 805936558 and 20804?\nAnswer: 10402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5\/6, -25, -5, 3.84, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*a + 380 = 0. Let o = 70 - a. Suppose 3*h = o + 103. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 57\/9160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*o + 4*z + 15, -4*o + 21 = -z. Suppose 5 = -w, -w - 2*w = o*i - 55. Solve -2*f - i = 2*k + f, 5*f + 21 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 13*w - 5. Let v(q) = -38*q + 14. Let p(k) = 17*f(k) + 6*v(k). Let l(g) = g**3 - 6*g**2 + g. Let h be l(6). Let t = -7 + h. Determine p(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o - 1\/10*o**5 + 0 + 0*o**3 + 0*o**2 - 1\/12*o**4. Find the third derivative of h(l) wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 7, -29288, 0?\nAnswer: -29288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*b - 2586 - 80210 = -2679*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.24, -2040, 2\/5, 1\/17 in ascending order.\nAnswer: -2040, 1\/17, 0.24, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41199605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 5*q - 7. Let y be d(3). Suppose y*w + 4*w + 252 = 0. What is the hundreds digit of (-3)\/(-7) - 166*34\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/726)\/(2 - 8\/12).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 4*b - 8, -3*k = 7*b - 4*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/12117 and 45\/14.\nAnswer: 24234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(4 + 54\/(-13)). Let f be (6 + 68\/(-10))\/(w\/10). Which is the third biggest value? (a) 0 (b) -5\/4 (c) f (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from {q: 2, s: 1, j: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24752\/207 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-29872)\/(-24) - 6\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 = -9. Let c = -406 + 436. Calculate the remainder when c is divided by -1 - k - -3 - (-36)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7759806924?\nAnswer: 2, 3, 646650577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.229514 grams?\nAnswer: 229.514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-3)*2*(9947\/392 + -25)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 - 2*k**2 - 2*k - 2. Let a be l(-4). Let i = -187 - a. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4792725563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f**3 + 17*f**3 - 63*f**3 + 25*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from zhchczhchhhcczhcz?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(5 + -3) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.18917442 rounded to three decimal places?\nAnswer: -2.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16725 + -9237. Calculate the greatest common divisor of k and 1344.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4059588 divided by 38298?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 839029 divided by 67.\nAnswer: 839029\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53\/5 of a decade?\nAnswer: 1272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-81)\/36)\/((-6)\/16). Suppose 3*r - u = 2*r. What is the remainder when 1\/(-2) - (-62)\/4 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*w = -45, -f + 4*f - 46 = -2*w. Suppose 5*a = 3*x + 8 + f, 0 = -x + 5. Calculate the lowest common multiple of 8 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + (-7 - -7) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 148443 and 148561 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30237 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a decade in months?\nAnswer: 1752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9240 by -616.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*n + 371 - 11*n + 419 - 11*n + 2*n**2 + 168 to the form k*n**2 + h*n + z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 5*m**2 + 6*m. Let v be b(-6). Suppose -2*d + 5 = -5*d + 4*h, 5*d + 5*h - 15 = 0. Let z = -3 - 1. Sort v, z, d in increasing order.\nAnswer: z, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 726 and 55.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 114817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*g - 827 = 188, 812 = 4*o + 5*g. Suppose -3*y = 2*q - o - 26, 2*y = q + 155. List the prime factors of y.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-91 - -211) + -18 + -117\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22655, 22653, 22651, 22649, 22647?\nAnswer: 22645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from ycccy?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48268)\/308 - -172)\/(4\/(-28)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460082976 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2232 and 4712.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 114, 105, 94?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5. Let c(z) = z**2 + 1. Let d(i) = 4*i**4 - 3*i**2 - 5. Let u(l) = g*d(l) + 3*c(l). What is the derivative of u(r) wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 4. Let a be ((-32)\/3)\/(-4)*-3. Is 9 a factor of l(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:52 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 266, 545, 868, 1241, 1670, 2161?\n\"Answer: r**3 + 16*r**2 + 224*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Suppose 2*b - 14 = 5*m - 2*b, 0 = 5*b - 5. Let y be ((-3)\/(-5))\/(m\/(-10)). Calculate u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -179 + 1821?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001111010101001 - -10?\nAnswer: 100001111010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 630731 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:19 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a centimeter in millimeters?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/241422 and 51\/32066.\nAnswer: 3870718926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 4, -266, 12 in increasing order.\nAnswer: -266, 0, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4501\/21*10*30 + 216\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 9}. Give prob of sequence fp.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - l**2 + 3*l**2)*(-2049*l - 518 - 432 + 2051*l).\nAnswer: -4*l**3 + 1900*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 246\/(-656)*56\/(-3). Let j(d) be the second derivative of 2*d**2 + 2\/21*d**z + 13*d + 0 - 2*d**3 + 2\/3*d**4 + 2\/5*d**5 - 2\/5*d**6. Factor j(m).\nAnswer: 4*(m - 1)**4*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.9. Let u = -6 - -6. Let l = p - u. Is -3\/10 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 + 1674*s + 765264 = 0. What is s?\nAnswer: -298, 856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*g + 4*g - 1692, -820 = -2*g + 5*r. What is the greatest common factor of 42 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295152 divided by 33.\nAnswer: 8944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*o - 25, -q = -4*q - 2*o - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3 + 4.3. What is the third biggest value in 0.2, 2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 26386.\nAnswer: 131930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 25 - 75 = 0. Let w = -1249 - -1253. Let z be (-170)\/(-300) - w\/n. Which is the second biggest value? (a) 6 (b) z (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.001318575 from 1647.\nAnswer: 1647.001318575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**5\/60 + b**4\/8 + 3*b**2. Factor l(d).\nAnswer: -d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:39 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 1:00 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206138744?\nAnswer: 2, 7, 3681049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 9.8\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-238)\/(-63) - 4\/(-18) - -1. Solve -21 = -4*n - x*a, -6*n + 15 = -n - 5*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 - 79*q - 144. Give w(-22).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 11*w**2 + 3*w - 19. Let g be s(-8). Suppose 3*z + g - 41 = 2*m, -z - 216 = -4*m. Is 27 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 8:46 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-15)*2*-9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 1, r: 1, f: 1, l: 1, p: 2}. What is prob of sequence ppgl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*l - 534*l = 4*r + 19, 2*l - 10 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*4)\/(-1 + -1). Let j be (i - (1 - -4)) + 6. Suppose -5*u = -j*u - 2. Solve -9 = -4*h - u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42, -39, -36?\n\"Answer: 3*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10506 and 62936502.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-210)\/1960.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 2*u + 7. What is n(7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5074*d - 5057. Calculate g(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 5*t**5\/12 - 85*t**4\/24 + 5*t**3 - 20*t**2. Factor n(s).\nAnswer: 5*(s - 3)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r = -108*r + 950. Solve 160 + r = -37*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3 and -1857?\nAnswer: -7985.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7951623mg in nanograms?\nAnswer: 795162.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*(-20)\/(-80) - (0 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7*r - 5*w - 9 = 0, -4 = -4*r - 4*w. Suppose 2*z + 0*z = 18. Calculate the smallest common multiple of z and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2309\/3 (b) 1.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4082776077?\nAnswer: 3, 1360925359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196021?\nAnswer: 3, 829, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8495 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 5:02 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-7))**7*f**(-7)\/(f\/f**(-12)) assuming f is positive.\nAnswer: f**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 39, -d = 4*v - 5*d + 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -65.\nAnswer: -64.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-2 - (2 + -5)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2531831 to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7464, 29889, 67258, 119553, 186756, 268849?\nAnswer: 365814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 10036188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 3, l: 1, b: 12}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.5 (b) 4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -11. Suppose 5*m = z*p - 13, -p - 12 + 4 = -5*m. Suppose 5*u = -d + 86, 4*d - 42 + 4 = -2*u. What is the remainder when u is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -425*b**3\/2 + 4131*b**2\/2 - 4*b + 396. Find the first derivative of g(y) wrt y.\nAnswer: -1275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1190, 1281, 1374, 1469, 1566, 1665?\nAnswer: 1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -905.9 - 1876399.\nAnswer: -1877304.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2881 - -0.2581. Which is the closest to 4? (a) l (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(95) - -3*sqrt(95)*4)\/sqrt(5).\nAnswer: -2 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 838*c + 905*c = 282*c - 81816 for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55885 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -1\/2*j**2 - 17 + 2\/3*j**3 - 17*j. Let h(b) be the first derivative of g(b). Determine h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3198 - -19073\/6. Let q = 2905 - 11707\/4. Find the common denominator of q and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 372.7 and -85.551?\nAnswer: 458.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*r - 168*r - 16796 = 0. Is r a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:06 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v - m + 17, 0 = 2*m - 4. Suppose 0 = -2*n - 2*t + v + 1, -5*t - 5 = 0. Solve -n*r = -4*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -7588 (b) -0.22 (c) -1.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:18 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 5. Suppose -i*f + 161 = -24. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 561, 790, 975, 1104, 1165?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 66. What is the second derivative of i*l + 6*l - 2*l**2 - 15*l + l**2 wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:41 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78277\/22 - 3575. Let h = y - -456\/11. Calculate the common denominator of h and 43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24463, -50534, -76607, -102682, -128759?\n\"Answer: -g**2 - 26068*g + 1606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 - 3. Let h be 14\/49 - 40\/91. Which is the fourth biggest value? (a) 1\/7 (b) h (c) 0.16 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/2)\/(6\/(-48)). Suppose i = -3*r - r. Let p = 37 + r. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1633 = -5*b, v - 403 = -19*b + 22*b. Solve 4*u - 5*n = -7, -3 = -v*u + 409*u + n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195250\/7242 + -27 - 12760\/(-255).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 3564023?\nAnswer: 3564021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/12685 and -123\/38890.\nAnswer: 98663930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 4. Let r(f) = -f**3 + 3*f**2 + 3*f + 9. Let x be r(c). Suppose 0 = 2*h + x*t + 254 - 2202, -3*t = 2*h - 1952. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -8.8. Let s = -164 - -163.6. Let n(y) = y - 6. Let u be n(5). Sort u, c, s.\nAnswer: u, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 41*f + 2 + 8 to the form h + r*f and give r.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.54 + -0.06. Let b = -0.8 + 0.7. Let y = t - b. Put y, 2, -2\/7 in decreasing order.\nAnswer: 2, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + 0. Let b(r) be the second derivative of r**4\/12 - r**3\/3 + r**2\/2 + 5*r. Let o be b(3). Put v, o, 3 in descending order.\nAnswer: o, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 0.3. Suppose -2*h = -2*u + 6, 4*h - 6*u + u = -14. What is the closest to h in s, -3, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 7:14 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 8*w**2 + 0*w**2 + (w - w - 3*w)*(-4*w + 2*w + 0*w) to h*w + f*w**2 + u and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 313229.7?\nAnswer: -8143972.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3955 and 885605.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 - 3215*y**2\/2 - 388833*y.\nAnswer: y*(y - 3441)*(y + 226)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/6 and 41\/726?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -580, -5, -4 in decreasing order.\nAnswer: 30, -4, -5, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 18 = 2*f, -3*r + 0*r - 24 = -3*f. Suppose 53 = 4*t - 99. What is the remainder when t is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2*g**7\/315 + g**6\/60 - g**5\/90 - 9*g**2\/2 - 20. Let c(a) be the second derivative of q(a). Factor c(m).\nAnswer: -2*m**2*(m - 1)*(2*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*w + 16 = -2*m, 4*m + 2*w - 8 = 0. Suppose f + m*f + 65 = 5*d, 0 = -4*d - 3*f + 71. Which is smaller: d or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 plus 8073.543?\nAnswer: 8073.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 0*c**2 - 2*c**2 + 6*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2496, 4954, 7412?\n\"Answer: 2458*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 4*l - 4. Let w(j) = j**3 - j + 1. Let v(p) = 2*p**2 - 11*p + 8. Let s be v(4). What is s*w(a) - b(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (11 - (-10 - -18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7439.465nm in meters?\nAnswer: 0.000007439465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f**2 + f + 1. Let x be g(3). Suppose -2*s + x = -2*z, -3*s + 63 = -4*z - 73. Suppose -5*t - 2*b = -s, -4*b = t - b. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.7 (b) -3 (c) -19 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -17 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18ac - -5?\nAnswer: 18b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34156400.\nAnswer: 2, 5, 17, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + -13 - (12 - (-1 - -22))) + 49.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2810.5 - 2811. What is the biggest value in 17, i, -25?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15148.39 and 31.\nAnswer: 469600.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 4*x**2 - 5*x + 6. Let r be z(-5). Suppose -r*k + 10 = -11*k. What is the tens digit of 38\/4 + k\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -93. Let n = -40.1 - f. Put 5, 2\/3, 5\/3, n in descending order.\nAnswer: 5, 5\/3, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 139*w**2 - 8*w + 3. Let k(j) = -141*j**2 + 9*j - 4. Give 3*k(g) + 4*y(g).\nAnswer: 133*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4103 - -3987. Sort k, 7, -4 in ascending order.\nAnswer: k, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2\/45 (c) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 216\/7*y**3 + 0 + 6\/7*y**5 + 66\/7*y**4 - 384\/7*y + 96\/7*y**2 = 0. What is y?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(74*s**5 + 304*s**4 - 304*s**4).\nAnswer: -74*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 622 = -k + 4*d, 0 = 3*d + 6. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5381\/8 + 48421\/72. Which is the closest to 132? (a) -2 (b) 9 (c) w (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 41*c**2 - 49*c + 530. What are the prime factors of y(22)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 47 - 7. Let d be 18\/q - (-8)\/40. Let n(j) = 4 - 3 - 7 - j**2 + 2*j**d + j. Calculate n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 5:05 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-546))\/(35\/((-6125)\/10))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -105*s - 6960. Let t be f(-67). Sort -4, t, -3, 14.\nAnswer: -4, -3, 14, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25342 (base 16) in base 9?\nAnswer: 252027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + 4 + ((2*sqrt(5700))\/(sqrt(192)\/sqrt(4)) + -5)**2).\nAnswer: -2545 + 250*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*((-43 - -21) + 23). Suppose t*k + 2\/3*k**4 + 0*k**3 + 0 + 0*k**2 = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25631 meters in nanometers?\nAnswer: 256310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.376736 hours to seconds.\nAnswer: 30156.2496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + -106 - (-5 - -5 - 29)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 753343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 2*t - 14*t**3 - 7*t.\nAnswer: -14*t**3 - 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**9\/1680 + x**8\/560 - x**7\/840 - x**6\/120 + x**4\/24 - 4*x**2. Let n(y) be the second derivative of a(y). Factor n(b).\nAnswer: 3*b*(b + 1)**2*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 7*x + 6. Let k(b) = -b**2 + 5*b - 2. Let j be k(2). Let n = -17 + 22. Sort n, j, x in decreasing order.\nAnswer: n, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38.8 + -47. Let h = 12 + -4. Let m = h + c. Which is bigger: -4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(-1 - 2 - 1)*(3*f + 6*f - 4*f) as z + o*f and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -520 divided by -130?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.3 + 39.3. Which is the third biggest value? (a) 9 (b) 0.3 (c) g (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1675*j - 54 = 1672*j. Calculate the least common multiple of j and 560.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let a be 1\/2*0 - s. Solve -5*l = -a*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, i: 2}. What is prob of sequence hhi?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11*d**2 - d + 1. Suppose 5*n = -q - 1, 3*n - 2*q + 10 = n. Let k(a) = -a**2. Let f(u) = n*h(u) + 3*k(u). Let r be f(1). Solve 2*i = -2*i - r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 29 - 6. Suppose 0 = -5*k + 142 + f. What is the tens digit of k + (-3 - -4) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -22*v**3 - 14*v**2 + 3*v + 3. Let a(t) = 21*t**3 + 15*t**2 - 2*t - 2. Let g(i) = 3*a(i) + 2*c(i). What is the third derivative of g(r) wrt r?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110333 + -21252?\nAnswer: -132025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2. Let v be b(1). Suppose -s = -v*s + 58. Suppose -s - 4 = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-6 + (570\/(-18))\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 1 - 1. Solve -a = 4*d + 2 - 20, -4*d - 3*a + 22 = c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30402069 is divided by 416.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 130019754.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -76*h**2 + 781*h - 31. Give p(11).\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0*t**2 - 4 + 7*t**2 - 3*t**2.\nAnswer: 4*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 249 = k - 26, -562 = -2*k - u. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 2. Let q = 3 + k. Let v = 34.3 + -39.3. What is the biggest value in v, q, -1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -21. Let s be (w*(-2 + 0))\/(-2). Factor 0 + 1\/2*k**2 + 1\/4*k**s + 1\/4*k.\nAnswer: k*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (sqrt(22)\/(sqrt(539) + (-2*sqrt(539) - sqrt(539)) + sqrt(11)))**2).\nAnswer: 1010\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -70 - t**2 + 4*t**2 + 70. Let q be 1\/(-1*(-1)\/2). Let b(v) = v - v - v**q. What is o(b(a))?\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 716 and 0.001.\nAnswer: 0.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i - 12. Let b be v(7). Let k = 36 + b. Solve -k*f - 6 = -0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 769989876.\nAnswer: 8469888636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 899787004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 115?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3157205 litres to millilitres.\nAnswer: 315.7205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -41 + (14 - 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**5*m**2 - 129*c**3*m**2 - c**2*m**2 - 6*c**2 - 2*c - 29*m**2 wrt c.\nAnswer: 360*c**2*m**2 - 774*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 582*c**2 + 19*c + 117. Let r be b(-11). Round r to the nearest 1000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -1\/40*t**6 + 0*t**3 + 0 - 2*t**2 + 1\/60*t**5 + 0*t + 0*t**4. Find the third derivative of y(g) wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34421576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 61\/4. Put -0.1, c, -3\/7 in descending order.\nAnswer: -0.1, c, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/23155651 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14505 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: Simplify (-4 + (5*(-1*sqrt(275) + -2) + -4*(-2 + sqrt(275))*1)*-4)**2.\nAnswer: 1440*sqrt(11) + 356416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681510 is divided by 280?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 17 = -2*s, -2 = 26*s - 24*s. Let r(f) = 16*f**3 - 4*f**2 + f + 9. What is the tens digit of r(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/285 and 10\/477.\nAnswer: 45315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 2*1*85\/34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*c - 143*c - 16 = o, -11*c - 20 = 5*o + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 + 31*m**2 + 125841*m + 3*m**3 - 125855*m as f*m + g*m**3 + c + r*m**2 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1218 = -19*c + 5*c. Let p = -86 - c. What is the greatest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -10957.\nAnswer: 10957.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3861 = -5*q + 1579. Suppose -1 - 8 = -3*m, n - 5*m = q. Let b = 1656 - n. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 17. Let y be (-4)\/(-1*2\/(-4)). Let q(n) = -n - 6. Let t be q(y). Solve 0 = 5*h - 2*l + 15, t*l - b = 5*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16555\/490 + -34 + (-1746)\/84?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52, 282, 770, 1594, 2832, 4562, 6862, 9810?\n\"Answer: 13*t**3 + 51*t**2 - 14*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155141\/20 + -7761. Find the common denominator of -61\/338 and l.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -6*j. Suppose 5*x = -4*f + 81, -4*x + 0*f = -f - 48. What is the remainder when (100\/(-6))\/(j\/(-3)) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 155*o**2 + 29*o + 126. Does 10 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l**2 + 8*l - 18. Let j(k) = 25*k**2 - 16*k + 41. Let v(r) = 9*f(r) + 4*j(r). What is v(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n + 10*n**2 + 3*n + 10*n.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**3 - 21*i**2*t**2 - 161*i*t**2 + 48*t**2 + 9 wrt i?\nAnswer: -6*i**2 - 42*i*t**2 - 161*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (sqrt(171) - (sqrt(171) + -2*(sqrt(171)*-2 - sqrt(171))))) + sqrt(171))\/(sqrt(27)\/sqrt(36)))\/(sqrt(48) - (-1*sqrt(192) + sqrt(3))).\nAnswer: 16*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 228*z - 252*z + 7 - 13.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 42*t - 96. Let i be n(3). What is the greatest common factor of i and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -18 - 12. Let g(n) = n**2 + 5*n + 5. Let k be g(a). Suppose -k*r = -5*l - 3000, 4*l + 136 - 3127 = -5*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 95345.93mg?\nAnswer: 95.34593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -316.\nAnswer: -3\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 0.0475948\nAnswer: -1.0946804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 241875.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 2, x: 2, j: 1, d: 2}. Give prob of picking 2 x and 2 d.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -13*k**2 + 28*k - 14. Let l(i) = 14*i**2 - 27*i + 13. Let x(c) = 3*l(c) + 2*w(c). Is x(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 4393.5\nAnswer: -48328.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:11 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e026d (base 16) to base 9.\nAnswer: -1648378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.5 times -21?\nAnswer: -472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1704 (b) -74 (c) 1849\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.006174 * 0.018.\nAnswer: 0.000111132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 63 - -24) + 48.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*f = -0*f, -3*p + 4*f = -1. Let o(x) = 4*x**2 + 1. Let m be o(p). Solve m*g + 8 = -17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1207785 (b) -12 (c) 0.06 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 538, 1417, 2964, 5179?\n\"Answer: 334*a**2 - 123*a + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:02 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14395, 14426, 14505, 14656, 14903, 15270, 15781, 16460?\nAnswer: 17331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 - 1342.5.\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1263 + 454 = 101*y. Let z(v) = 3*v**2 - 17*v. Let f(u) be the second derivative of u**4\/12 - u**3 + u. What is y*f(o) - 6*z(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2881, -5798, -8715, -11632, -14549, -17466?\nAnswer: -20383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-10)*-1*35\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 55. Let f = o - -24. Which is smaller: f or -2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, -12, 1623, -0.1, 1 in decreasing order.\nAnswer: 1623, 6\/5, 1, -0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmtm when four letters picked without replacement from mmbmmbbttmtbmmtmm.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + ((1 + sqrt(612) - sqrt(612)) + 2)**2 + sqrt(612) - (0 + sqrt(1377) - sqrt(68)*-2)**2.\nAnswer: -2864 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13305520 (base 6) to base 15\nAnswer: -8ba89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -12, 0, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -19*s + 10*s. Suppose -v - 231 = -4*b, -10*b + 12*b - 113 = s*v. List the prime factors of b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 31. Let g(f) = 1. Let x(i) = 2*i. Calculate o*x(k) - 2*g(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 18 = -2*s. Let p be s\/153 - 200\/(-34). Let c be p\/(-9) - (-22)\/6. Solve 3*r - 4 + 1 = b, -c*r = 3*b - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by (0 - -25)*(11 - 10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - (935\/(-121) - -9)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 14. Let n be 1\/(8\/(-6)*(-3)\/148). Suppose -59 + n = -2*j. Let f(l) = l + 2. Let k be f(2). Let d(q) = q**2 + 5. Give j*d(a) + k*i(a).\nAnswer: 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c = -4*m + 24001, 18004 = 3*m - 4*c. Suppose -5*w + m = 15*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1682, -3285, -4884, -6479, -8070, -9657, -11240?\nAnswer: -12819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2307*j + 17504 = 70565 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -173, 3, 2 in increasing order.\nAnswer: -173, 2, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120*102\/2448*-1*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Let q(d) = 1 + w*d + 1 - 10 - d. What are the prime factors of q(11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80 + 2*w + 65*w**3 + 0*w + 7 + 54*w**3 wrt w.\nAnswer: 357*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 618461.31.\nAnswer: -618462.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -168928, 2, 0 in descending order.\nAnswer: 2, 0, -1, -168928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1165, 1747, 2341, 2947, 3565?\nAnswer: 4195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, -5, 0.2, 1980, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 28\/59509 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*k + 15. Let d be k\/14 + 126107\/7. Suppose 0 = -p - 4*u + 6012, -3*p = 2*u + 3*u - d. What is p rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3924 = -4*w - 4*i, -100*w = -99*w - 5*i - 975. Calculate the greatest common divisor of w and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v. Let f(w) = 5*w - 25. Let y(c) = -c + 6. Let m(z) = 6*f(z) + 25*y(z). Let x be ((-1)\/(-2))\/((-4)\/40). Determine x*m(o) - 6*n(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**2*u**3*z**3 - 3*o**2*u**3*z**2 - o**2*u**3*z - 49*o**2*z**2 + 196578*o*u**3*z**3 - 5*o*u**3*z + 7*u wrt z?\nAnswer: -12*o**2*u**3 + 1179468*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 0*a**4 + a**3 + 0*a**6 + 3 + 3\/7*a**7 + 0*a**5 + 0*a**2 + 0*a. Find the third derivative of x(r) wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0086 (b) 2 (c) 3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 3*b - 6*b**2 - 2*b. Let n(h) = 14*h**2 + 30*h - 6. Let c(t) = -23*t**2 - 55*t + 11. Let a(k) = -6*c(k) - 11*n(k). Determine a(d(u)).\nAnswer: -576*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-2)**2 + -3.\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 372301785883.955 and -0.3.\nAnswer: 372301785883.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.085 - 0.021. Let s = z - 0.238. Let r = 0.074 + s. Sort r, 3, 1.9 in ascending order.\nAnswer: r, 1.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 3:21 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - ((-16)\/(-4) + -15). Suppose -2*x + 818 - 2249 = -5*s, 3*x = -t*s + 1441. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(2*j**3 + 0 + 0)*(2 + 1 - 1).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1660 = -0*s + 4*s - 4*w, 0 = 3*w + 12. List the prime factors of s.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4017 and -1.2.\nAnswer: -4018.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*1 - (1*sqrt(187))\/sqrt(11)) + (sqrt(17) + sqrt(68) + 4 - 2*sqrt(136)\/sqrt(8)))**2.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10)\/h*h**(5\/3)\/h assuming h is positive.\nAnswer: h**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-120)*-8*(-1)\/(-8)*-2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 3. Let r be y(-3). Let o(l) = -1 + 0 - r*l**2 + 12*l**2. List the prime factors of o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 48 = 6*f - 2*f, 8 = b + 5*f. Let v = -12 - b. Solve u - 8 = v*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/1620)\/(37\/(-296)*10)?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -3849\/37. Which is the third biggest value? (a) 4 (b) 2\/11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -208, 20, 3, -1154.\nAnswer: -1154, -208, 2, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-8)\/(-1088)*17 - 651\/24)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*n**5 - 20*n**4 + 245*n**3 - 90*n**2 - 100*n + 40 = 0 for n.\nAnswer: -2, -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*h = -118*h - 3*w, -12 = -5*h - w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12228 and 58\/74259?\nAnswer: 302679684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 1)*(4 - 2 + q + 0)*(4 + 2 - 3)*(-9 - 2 - 6) in the form g + z*q and give z.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*d = 123 + 43 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-2*a + a + 0*a)*(0*a**3 + 4*a**3 - 2*a**3).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(605)*2*-4)**2 + -3.\nAnswer: 1056*sqrt(5) + 154886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.124 from -25830.\nAnswer: -25825.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.17 + -7.83. Let k = a - -9. Sort -3, 2, -1, k.\nAnswer: -3, -1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 16*c - 29*c + 191*c = 3700 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2025, -4056, -6091, -8130, -10173, -12220, -14271?\n\"Answer: -2*x**2 - 2025*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 14*j - 247. Let o be l(-23). Let r = o - -581. Solve -6*u + 0*u - r = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377023775 divided by -3660425?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/(1833\/(-6721)*22\/4).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 60 = 0. Suppose -5 - 4 = 3*o. Let h = o + y. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072403077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 23 = -t. Suppose -4*n + t = 3*i, 0 = -i + 2*i - 4. Let x = -25 + 41. Solve -x = -4*k - n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d - 100 = -37*d. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1067337*c + 1067344*c + 0 + 0.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -236, 4\/35, -77?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u**2 + 9*u + 539. What is the remainder when a(0) is divided by 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 52 = -23*v, -1183*v - 4*l + 22 = -1178*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 681, 1000, 1539, 2304, 3301, 4536?\nAnswer: 6015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1081*g*s**3 + 3*g*s**2 + 5*g*s + 984030*g wrt s.\nAnswer: 3243*g*s**2 + 6*g*s + 5*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 - 69068*d + 2385194312.\nAnswer: (d - 69068)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12*1\/(-45))\/((-2)\/5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -8)*3\/63. Sort -74, 4\/5, t.\nAnswer: -74, t, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1698 - 874. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 5. Suppose 7104 = 172*u + 20*u. What is the lowest common multiple of u and j(5)?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 439646 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 125.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25537?\nAnswer: 25537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 149470483, 149470488, 149470497, 149470510, 149470527, 149470548?\n\"Answer: 2*l**2 - l + 149470482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1994*c**3 - 7*c + 19926 with respect to c.\nAnswer: 5982*c**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792488*u + 396249*u + 396247*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*a**5 + 50*a**5 - 19*a**5)*(1 - 1 + 3 + (-2 - 2 + 5)*(5 - 2 - 2)).\nAnswer: 44*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*(-476)\/544*8\/(-14)*7\/(-1).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4457.2 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b03 (base 13) to base 5.\nAnswer: -1143020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15154136.\nAnswer: 2, 1894267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*-4*(-2)\/56\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-2460)\/14)\/(8\/(-28)). Suppose 7*s + c - 2596 = 0. List the prime factors of s.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + 0*c)*(1869 - 939 - 1843*c**2 - 930).\nAnswer: -1843*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p\/p**(-1))\/p))**(-29)*(p**(-2)\/p)**(-38))\/(p**2*p**(1\/2))**(4\/15) assuming p is positive.\nAnswer: p**(253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -44.77. Let u = -306 - -304.77. Let o = u + x. What is the smallest value in -2\/37, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322012 (base 4) in base 8?\nAnswer: -7206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 + 0 = -w, -3*f - 5 = -4*w. Suppose 2 + 198 = 4*c. What is the common denominator of c and (53\/w)\/1 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29\/307, 1, 2\/7, -1.2, -6 in decreasing order.\nAnswer: 1, 2\/7, 29\/307, -1.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.73977 * -0.194.\nAnswer: 3.82951538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3242 a factor of 330673613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 1. Suppose -64 = 38*d - 54*d. Let c(g) = g - 2. What is d*c(l) - 3*t(l)?\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {s: 12, c: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 7387 in ascending order.\nAnswer: -5, 0, 7387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 69 - -1*(4 + -1). Suppose -8 = 5*f + z. Let x be (-25)\/(-4) - (-4)\/f. Solve x = -2*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1208, -1138, -1022, -860, -652, -398, -98?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 - 2*s**4 + 7*s**4)*(7*s - 2*s + 25*s) + 2*s**5 - 2*s**5 - s**5.\nAnswer: 59*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from slllllssssllcllscs.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:41 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + sqrt(42)*-5*5)\/(-1*sqrt(6)*-2) + -5.\nAnswer: -12*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i - 21 = 0. Let o be i\/(-4) - 2\/8. Suppose 2*f = -0*d + 5*d + 18, 0 = o*f - 5*d - 30. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (43 + 3 + -82 + -31)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 2*l**5 + l**4 + (5*l**4 + l**4 + l**4)*(l + 2*l - l).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*4*(2 - -1). Suppose t = 3*t + f. Let x be t\/(-30) + (-2)\/10. Solve x = -3*c + 8*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-3 - 1)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 8:38 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 1. Suppose -38 = -t - 14. Suppose -3*o + 4*c = 82, 5*o - c + 84 = -30. Let a = t + o. Let q(k) = -4*k + 6. Calculate a*q(z) + 10*x(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 153745157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25480148.\nAnswer: 2, 6370037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995089.8 centuries to millennia.\nAnswer: 99508.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(8 + -6)*-3*(-14)\/21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 - -86. Which is the fourth biggest value? (a) -5 (b) n (c) 1\/2 (d) 70 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpxhpxxxxhphxh. Give prob of sequence pph.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*f = -43*f + 192 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110101000 (base 2) in base 9?\nAnswer: 4714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 34\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 55*x - 361. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-40)*(-175)\/(-10). Solve 1 = t*m - 6*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*-4*sqrt(125) + 5 + (sqrt(5) - (6*(sqrt(320) + sqrt(5)) + sqrt(5))))**2.\nAnswer: -2040*sqrt(5) + 34830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -a346540?\nAnswer: a34653b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167.66 * -20.\nAnswer: 3353.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12283\/30 + -2459\/6. What is the nearest to m in -1\/27, -0.1, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.964 years in millennia?\nAnswer: 0.583964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j**3 + 9*j**2 - 2*j. Let w(m) = -14*m**3 + 18*m**2 - 5*m. Let c(s) = 5*v(s) - 2*w(s). Find the third derivative of c(z) wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7035 and 20887719?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t\/(t**(-1)\/t))*t**7*(t**(2\/5))**(-5\/16) assuming t is positive.\nAnswer: t**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v, 2*x - 14 = -0*x - 4*v. Let y = 172 - 167. Suppose -5*d = -y*b + 15, 0*b + 4*b - x = -5*d. Let i(o) = 6*o + 1. Give i(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5740301 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*i + i + 28, -3*p = 4*i + 7. Suppose -p = -x + 7. Let z be (40\/25)\/(4\/x). Solve 0 = -2*t + 5*c + 19 + 4, z*t = -5*c - 29 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549 a factor of 532591332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -5438, -0.11 in descending order.\nAnswer: 5, 0.5, -0.11, -5438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1023 divided by 5\nAnswer: -1023\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*y = 5*y + 40, -5*l + 4*y + 99 = 0. Let u be 6\/(-21) + (-4)\/(-14). Suppose 3*s - l + 1 = u. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237 + 237.07. Let q = c - -0.93. Which is bigger: -0.17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -15 + (1 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216975212 by -85222.\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4274*o**2 - 2. Let l(k) = 188*k. Calculate m(l(t)).\nAnswer: 151060256*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17\/7, 4, -33, 2\/3 in descending order.\nAnswer: 4, 2\/3, -1, -17\/7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:38 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/200*(-4)\/14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:30 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(19\/4)*p*p*p**(-2\/57)*p\/((p\/p**(-1\/8))\/p)*(p\/p**(-15))\/p)**(4\/33) assuming p is positive.\nAnswer: p**(10301\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/147 (b) -7 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((25\/(-8))\/((-10)\/20))\/7 and -127\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12320 and 480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*s + 2*s**2 - 6*s**2 - 55*s - 3*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/6 + 5*h**3\/6 + 9*h**2\/2 + 8*h. Let r(k) be the first derivative of j(k). Give r(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.118 * -5\nAnswer: 0.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b4 (base 15) in base 4?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f**2. Let b be h(1). Suppose q - b = -4*t + 128, -2*t = 2*q - 282. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 9*q - 32. Suppose 2*r = -5*v + 4, q*r + 5 = -5*v - 3*r. Solve -12 = -2*m + 3*o - 2*o, 1 = m + v*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*r - 17728, 2*r - 3*h = 4855 + 6970. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 375 (b) 0 (c) -0.1 (d) 6\/5 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8206.689 minutes in seconds?\nAnswer: 492401.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 times 2875?\nAnswer: 1578375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o*r**3 - o*r**2 + 28*o*r - 2*r**3 - 52*r**2 - 398*r wrt r.\nAnswer: 6*o*r - 2*o - 12*r - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3 = -3*t, 0*a - 4*a - 2*t + 20 = 0. Suppose -47 = -a*p - 11. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64789 - -116160. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/68 - 523\/17. Let t = w - -30. Let l be (-143)\/(-130) - 3\/5. What is the smallest value in t, 2\/9, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 - 16. Let k = 59 + i. Let q = -68 + k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 26*m**2 - m + 7. Let z(a) = -27*a**2 + a - 6. Suppose 53 = 5*h + 78. Let d(r) = h*w(r) - 4*z(r). What is the second derivative of d(c) wrt c?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36102.173 to the nearest ten.\nAnswer: -36100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 8*c. Determine a(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13 - 4*y**3 + 258 + 19*y**3 + 165*y**3 wrt y?\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (3 - 4\/2). Solve -z = a - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwewwwwwewewwwwew. Give prob of sequence weew.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 377280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*h + 0*h = 23, 12 = 4*h. Let s(n) = -n**3 - 6*n**2 - 2*n - 2. Calculate the remainder when c\/(-7) - 124\/(-7) is divided by s(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8. What is the smallest value in x, -1, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-33) - 2\/(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695) - -3*sqrt(2695)*2)\/((sqrt(5) + sqrt(40)\/sqrt(8)*1)*-2) + 4.\nAnswer: -49*sqrt(11)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:39 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (216\/20 + -12)*40\/(-3). Suppose -u - 1046 = -8*n + 6*n, 0 = 4*u + t. What are the prime factors of n?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -738 divided by -6.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 - 3 = 0, -3*p - 3*b = 6. Suppose n - j + 12 = 5*n, 2 = -3*n + p*j. Suppose -n*o - o = -9. Solve 7 - o = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3655912 microseconds to minutes.\nAnswer: 0.00000003942652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 2168593?\nAnswer: 13011558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 8*h**2 - 9*h + 4. Let z be w(9). Is (z - 325\/15)\/((-1)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 322 or 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-2))\/((-1)\/2). Suppose 3*l - 4004 = y*s + 5588, 5*l + 5*s = 15960. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)\/s*s**(-5\/4)*(s\/(s**(-1)*s))\/(((((s**10*s*s*s)\/s)\/s*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562594 bigger than 1562595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -40113 (base 5) to base 2\nAnswer: -100111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1216) + -2)*-6 + -2.\nAnswer: -48*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 406786440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -529, -719, -863, -961, -1013?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.9368 milligrams in micrograms?\nAnswer: 462936.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1331, -51, 0.4, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 + (-481)\/52)\/(4\/16). Solve g*h + 14 = -2*d + 4*d, 0 = -2*h - 4*d - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + 1*sqrt(343) + (sqrt(343) - (-2 + sqrt(343))*-6) + (-1 + sqrt(343) + -1 - (sqrt(343)*-2 + sqrt(343))*-5) + 1)**2.\nAnswer: -672*sqrt(7) + 5632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24288029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15250 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 (base 10) in base 13?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-8 + 9 - 0) - (411 + -436)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppgpgppigip. What is prob of picking 3 p?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 3031946*b - 6063896.\nAnswer: (b - 3031948)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 6*f - 4 = -17*d, 2*d + 3*f + 24 = -7*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -472501855 > -945003709\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4634015ml in litres?\nAnswer: 0.0004634015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(9 + (-1 - 0))\/(-2). Suppose 4*d = -s*n + 2196, 5*d - 2*n = 699 + 2046. Does 61 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(-21)\/(-14)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*v = 4*h + 857*v, 12 = -5*h - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, o: 6}. Give prob of picking 2 o and 2 p.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 203, 5, 0.3?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/79 (b) 1 (c) 3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-13064)*4640\/(-870).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5567554 by -64739.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {o: 1, w: 11, e: 3, a: 5}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 16 + 8*c + 13.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - -3 - 1425\/105 - -7. Which is the second smallest value? (a) t (b) 2\/7 (c) -182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.067736*-0.6\nAnswer: 0.0406416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17243, 17241, 17239?\nAnswer: 17237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/8 - 21\/84)*0. Suppose -5*z - 3*f + 1 = -20, 5*z = -4*f + 18. Solve m = z*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(1\/5)\/d)*d**(-5)*d*d**(-2\/13)*d*(d\/((d\/(d*d**3))\/d*d))\/d)**(-6\/13) assuming d is positive.\nAnswer: d**(-1032\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-270)\/24 + (-408)\/32\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803\/9699 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206792 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -db + 1cd?\nAnswer: e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 35, 59, 91, 131, 179, 235?\n\"Answer: 4*w**2 + 4*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*p**3\/5 - 15354*p**2\/5 + 81896*p\/5 + 383496\/5 = 0. Calculate p.\nAnswer: -1102, -3, 58\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -i - s + 4, -i - 1 = 4*s. Suppose y + 4*y - 28 = -2*l, 12 = i*l. Suppose 4*a + 4*p = -48*a + 252, -21 = -3*a + 3*p. Solve 6 = a*k - y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24742157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**5\/150 + 3*u**3\/5 + 92*u**2. Factor o(v).\nAnswer: -2*(v - 3)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:34 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - 3*s**4 + 2*s**3 + (-6*s**3 - 8*s**3 + 7*s**3)*(-2*s - 34*s - 54*s) as h + a*s**3 + d*s**4 + k*s**2 + l*s and give d.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27278071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 2.05713?\nAnswer: 18.51417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 3:55 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a70 - 3c?\nAnswer: 11a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2632 and 1816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1868*58.\nAnswer: -108344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 26139.\nAnswer: -26138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9568899.\nAnswer: 3, 139, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.121 + 0.221. Let z = 80 + 6. Let d = 2148\/25 - z. What is the nearest to p in 0.3, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8475, 8552, 8629?\n\"Answer: 77*f + 8398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -4)*((-4 - 16) + 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - y + 30. Let q be z(0). Suppose 0 = 6*t - 114 + q. What is the highest common divisor of t and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 6*h + 21. What is the second derivative of -81 - 15*u**h + 81 - 13*u wrt u?\nAnswer: -90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from niiyiiininiynsnnts?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -3*k**7\/14 + 19*k**3\/2 - 24*k**2 + k. What is the first derivative of i(p) wrt p?\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (7 + 3 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43348?\nAnswer: 2, 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(1100) - -4*(sqrt(1100) + -3 + sqrt(1100)) - 1*(1 + sqrt(1100))))*2)**2.\nAnswer: -5120*sqrt(11) + 281856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from hkqqhhyhyyhqhy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1180 and -31\/7230.\nAnswer: 853140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6)*(1 + -1). Suppose -3*y + a + 1 = n, -y + 5 = -a - 4*a. Suppose y = -4*k + k + 1689. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-12*2\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.088 in -1\/4, -0.05, -1\/3, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700113.48 rounded to the nearest 1000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 242*p + 6 + 1 - 6.\nAnswer: 242*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*g - 7*g = 359, -4*g = 4*a - 280. Suppose -5*f - a = -y, -f = 2*f + 3*y + 39. Let k(d) = 24*d - 4. Let j(z) = 5*z - 1. Determine f*j(v) + 3*k(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/632 and 11\/9960.\nAnswer: 786840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12 - 53 = 2*y, 2*y = 4*u - 242. Suppose 2*l + 336 = 14*l. Calculate the remainder when l is divided by (-6)\/14 - u\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5347611575 to the nearest integer?\nAnswer: 73127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 0.1 (c) -3 (d) -90 (e) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 10 = 3*j + 21, -3*j = -d + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 245356330 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/5579403 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -450? (a) -0.108 (b) 3\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -3, 5, 3119 in increasing order.\nAnswer: -3, 5, 37, 3119","meta":{"dup_signals":{},"source":"comparison__sort_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: Express (5 - 2*w - 5 + (3*w - w + w)*(3 - 2 + 2))*(1 - 1 + 2 + (55 + 321 - 74)*(0 - 4 + 5)) as p*w + v and give p.\nAnswer: 2128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1289\/13 + -99. Which is the closest to -0.03? (a) -5 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 5929725*h\/2 - 2964862.\nAnswer: -(h + 1)*(h + 5929724)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -51 (c) 3 (d) 1.153 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175961400.3s in weeks?\nAnswer: 290.94146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1927?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1802 + 1801.8. Sort 5, 3, -0.33, r in descending order.\nAnswer: 5, 3, r, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2431\/9 not equal to -269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*y - 350 + 1364 = -381 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 13*x + 16. What is h(-13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eevc when four letters picked without replacement from veeaacedacdeda?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*143\/(-33)*171\/(-11362).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5 - 340*w**4 - 11082*w**3 - 115128*w**2 - 254664*w = 0. Calculate w.\nAnswer: -131, -18, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - ((-55)\/33 + 8\/12). Sort -53, 1.2, f in ascending order.\nAnswer: -53, f, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7286, -6683, -6082, -5483?\nAnswer: -4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 3*s**2 - 3*s - 6. Let o be n(-3). Solve 4*p - o = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5\/3 - 179*z**4\/3 + 49*z**3\/3 + 179*z**2\/3 - 15*z = 0.\nAnswer: -45, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -218.2 times 66.5?\nAnswer: -14510.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4417, 6025, 7633, 9241, 10849?\n\"Answer: 1608*k + 2809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46668517 to the nearest integer?\nAnswer: 6831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23268?\nAnswer: 2, 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16125452 by -17.\nAnswer: -948556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/218034 or 1?\nAnswer: -31\/218034","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {c: 2, q: 1, b: 1, r: 11, a: 1}?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 305364029381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*9\/6*-2*1321890\/(-44063)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 14*w. Let t be j(14). Suppose t = 6*n - 5*n. Let q(c) = c + 5. Let p be q(-5). Solve b - 5*s + 9 = p, -3*b + 3*s - 3 = -n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2896*f - 37809. What is q(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -64600012*w + 12. Let j be -2 + 8\/6 + (-30)\/(-18). Let h be t(j). Round h to the nearest 1000000.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9653 - 9592. Calculate the remainder when 6707 is divided by z.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (6 - (-29 + 34 + 34)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/521 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*m + 260 = 176*m. Solve 13*a + 58 = -m for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2475744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 59*m + 160. Let y(h) = h + 32. Let b(f) = -3*s(f) + 15*y(f). Let z(t) = 4*t**2. Determine b(z(g)).\nAnswer: -648*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 292 - 155d?\nAnswer: -12cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 9 + 6 + -7. What is the remainder when 3 is divided by (12 + 2)\/7*(v - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -92*d - 1642. Calculate the lowest common multiple of 42 and q(-20).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 8*k - k)*(-k - k - 2*k)*(-25 + 25 - 36*k**3).\nAnswer: 576*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 40 = 4*h - 4*w, h + 1 = -w. Suppose -258 = -h*o - 2. Calculate the greatest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 9*r. Which is the nearest to -2? (a) -1\/7 (b) -5 (c) r (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0 - 2*s**3 + 27*s - 3\/4*s**5 + 0*s**4 + 0*s**2. Find the second derivative of u(d) wrt d.\nAnswer: -90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2082366, -4164741, -6247116?\n\"Answer: -2082375*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 9:29 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 - 116?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t - 7. Let w(n) = 9*n + 8. Let l(y) = -3*c(y) - 4*w(y). What is the units digit of l(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59, 218, 479, 842?\n\"Answer: 51*g**2 + 6*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmmffkfffm. What is prob of sequence mmf?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 1. Let o be y(-1). Suppose 0 = o*b + r + 3*r, -b - 6 = -5*r. Let t(c) = 31*c + 93. Let u be t(-3). Sort b, 3, u in decreasing order.\nAnswer: 3, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 + 570. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p*q**2*x**3 - 2*p*q**2*x + 2*p*q*x - 8*p*x**3 - 48*q**2*x**3 + q*x**2 - q*x wrt q?\nAnswer: 2*p*x**3 - 4*p*x - 96*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.45 + -4.450201. Round c to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -17 in descending order.\nAnswer: -4, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -6*o**3\/11 - 884*o**2\/11 + 54*o + 296\/11 = 0.\nAnswer: -148, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -38*x + 16*x - 29*x**2 + 22*x. Let y(c) = 2*c**2. Calculate g(y(k)).\nAnswer: -116*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985430?\nAnswer: 2, 5, 98543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - l + 1698 = -646, -2*m = 3*l - 935. Let v = 680 - m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 15*g**2 + 0*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**6\/45 + p**5\/90 + p**4\/9 - p**3\/9 + 85*p**2\/2 - 48*p. Let y(d) be the first derivative of z(d). Factor y(t).\nAnswer: -2*(t - 1)*(t + 1)*(4*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 5*g + g + 1. Let s be v(-1). Suppose -s*y + 6*y = 24. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**(-20)\/w)\/w)*w**(6\/19) assuming w is positive.\nAnswer: w**(443\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016494066 rounded to 7 decimal places?\nAnswer: -0.0001649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 2*f - 50. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -v - 4*n + 4, -4 = n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 y when four letters picked without replacement from ynywwyy.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106768 = 1890*u + 4783*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10001111001?\nAnswer: -10001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 12309007?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-52)*(-104)\/(-156).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 156900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 2 - ((3 - 12) + 2) - -18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (14 - -4 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 602295 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 + 77 + -8 + -97?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*l - 92, 3*l + 15 = 6*l. Is v\/(2\/5*-1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2178) + sqrt(2178)*-3)\/(sqrt(81)\/(sqrt(9)*-3)))**2.\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 2053*o**3\/3 + 421*o + 1. Let b(f) = -6*f. Give r(b(j)).\nAnswer: -24636*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -4*j**4 + 4*j**3\/3 - 10. What is the third derivative of h(s) wrt s?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22535 plus 7.8291?\nAnswer: -22527.1709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -24. Sort n, -1, -2 in descending order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 - (-3 - -11)) - (-131 - -127)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = -0. Suppose 0 = -q + u + 4. Suppose -q*t = -5*z - 100, 5*z + 1 + 3 = t. Calculate the remainder when 47 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 10, -29 = -4*z - 4*x + 3*x. Let a be -8*(-6)\/2160*z. What is f in a*f**2 + 2\/15*f**3 + 0 - 2\/15*f**4 - 2\/15*f = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 26*p - 45. Is l(31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 13, b: 5}. Give prob of picking 2 b and 1 f.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.335 in -1\/33, 5, 4?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -375, -376, -377, -378, -379, -380?\n\"Answer: -f - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*p)*((1 - 3 + 3)*(2 - 2 + 2*p) - 1 + 1 - 3*p) + (-2*p + 5*p - 2*p)*(6*p + 4*p - 3*p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 21049*d - 21059*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/10)\/((t**(-23)*t)\/t) assuming t is positive.\nAnswer: t**(229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -12) + 6 + -1 - -9 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o + 3 = 0. Let w be 6\/(-2) + o + 6. Suppose 3*l + 0*l - 27 = w. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-3)\/(-3)) + -12. Let k be (-8)\/x - 7\/(-3). Suppose w - 15 = 2*m, -k*w = -0*m - 2*m - 25. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5 = 9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51729, -103455, -155177, -206895, -258609, -310319?\n\"Answer: 2*s**2 - 51732*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1\/8, 5, 31\/3, -0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h\/(h*h**8))\/h))\/(h*h\/(h**(-2\/59)*h)))**40 assuming h is positive.\nAnswer: h**(18800\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1985 divided by -1985.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -423*m - 3739 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*o - 8 = 2*o, w = 5*o + 17. Solve -3*j + 2 = -w*j + t, 4*t + 17 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/18 - 19*x**3\/9 - 6*x**2 + 26*x. Factor l(n).\nAnswer: -2*(n + 1)*(n + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -106.24. What is the biggest value in 5, -2, u, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -152, -171, -172, -155?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 2*g**2 - 3*g**2)*(5*g - 3*g + 0*g) + 42*g**3 - 18*g**3 + 34*g**3.\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v. Let m be -3 + 20\/6 - (-14)\/(-6). Let y(a) = 3*a + 1. Let w(h) = m*j(h) - 3*y(h). Let k(g) = -9*g - 6. Determine -4*k(b) + 7*w(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001514283 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**5\/3 - 65*c**4\/24 - 5*c**3\/2 + 7*c**2 + 7. Let m(q) be the second derivative of l(q). Determine k so that m(k) = 0.\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16\/(-6)*(-3)\/2 is divided by (-3)\/(-3) + (1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086592 take away 0.0135646?\nAnswer: 0.0730274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s + 1\/4*s**4 + 0*s**2 + 39*s**3 - 187 + 112\/5*s**5. What is the third derivative of x(a) wrt a?\nAnswer: 2688*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187445127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77395 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*z + o, -2*z + 2 = o + 3. Suppose 0 = -4*i + 2*h + 3*h + 28, 24 = z*i - 5*h. Solve 9 = i*n + s, 4*n + 3*s - 15 = 2*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*j**5 + 2*j**3 + 156*j**2 + 4*j - 664?\nAnswer: -1140*j**3 + 12*j + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12284, -49211, -110786, -197033, -307976, -443639, -604046?\nAnswer: -789221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((2\/28)\/((-111)\/37)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 2. Let o = 6.9999965 - i. Round o to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 27*z + 42*z - 9*z + 10*z. Let y(m) = -3*m**2. Give w(y(s)).\nAnswer: -210*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + (36 - -39) - (11 - 1) - (12 + -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -201 + 16. Let s = 55 + b. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26 - 5)*36\/14. Suppose 0 = -2*k - 4*k + d. Suppose 0 = -2*s + c + 190 - 62, -3*c - 260 = -4*s. Calculate the remainder when s is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/18 and 59\/195?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60500 or 2062?\nAnswer: 2062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 8497.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + -5. Let z be 4\/x + 2\/7. Suppose z*o - 2*o + 88 = 0. Find the common denominator of 13\/10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = 4*a. Let q(i) be the third derivative of 1\/12*i**4 - 8*i**2 + 0 + 0*i - 1\/6*i**3. Give q(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 83*z**3 - 28*z**2 + 88*z**3 - 4*z**5 + 133*z**3 - 276*z**3 + 12*z**4 - 72*z = 0. What is z?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99793.9 nanograms in tonnes?\nAnswer: 0.0000000000997939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*l + 9 = 5*r, -4*l - 6 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(5\/10). Let k = o + 2. Let d(h) = h**3 - h**2 - 2*h + 1. Determine d(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219\/7 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 0*w + 0*w + (-5 + 5 + 2*w)*(-1 - 4 + 3) - 3*w + 0*w + w - 2*w + 5*w - w + (-1 + 2 + 3)*(-3*w - 2*w + 2*w) + 0 + 0 - 2*w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(500\/12))\/((-18)\/(-60))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k*k**(-2\/13)*k)\/k)\/k))\/k*k**(1\/6))**20*(((k\/(k\/k**(-4\/3)*k*k*k)*k*k)\/k)\/(k*(k*k**0)\/k*k))\/((k\/k**(-1\/5))\/k*k**(-2)) assuming k is positive.\nAnswer: k**(187\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59172023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113513 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 87\/6 + 1\/2. Suppose -7*t = -2*t - l. Let s(r) = r**2 + 3*r - 4. What are the prime factors of s(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1600\/1073 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 20*y**2 + 22*y.\nAnswer: -2*y*(y - 1)*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -2, 28, 114, 274, 526?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*z + 34*z + 361*z.\nAnswer: 327*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 531842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62198 rounded to 2 dps?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 285213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 12 = 3*k. Let s = k - 4. What are the prime factors of (5 - -2)\/1 - s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4640*h**2. Let t(a) = 2*a. What is t(i(q))?\nAnswer: 9280*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4978310 - 5038878 = 452*a for a.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + (-95)\/10)*(-9 - -1). Suppose d*r + 3 = -21. What is the common denominator of 121\/6 and 2\/r + (-166)\/(-48)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -613 divided by -58.\nAnswer: 613\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186483 at most 2186471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + c - c)*(62 + 13*c**2 - 62).\nAnswer: 39*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 54214 times -1.51\nAnswer: -81863.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*a + 5 = 0, -2*p - a = -5*a - 2. Let y be (6\/p)\/((-1)\/10). Find the third derivative of o**2 + 11*o**3 - 13*o**2 + y*o**3 - 8*o**3 wrt o.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20 and -4002.\nAnswer: -4022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -20*j**3 - 1002*j**2 - 91*j + 321. Calculate v(-50).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 698*u - 6876. Let l be y(10). Calculate the greatest common divisor of l and 1716.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -652, -2563, -5728, -10141, -15796, -22687, -30808?\nAnswer: -40153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 194\/3 - 64. Which is the nearest to -0.2? (a) l (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 + 0.4. Let n = -6.7 + k. Let b = n - -9.50000047. Round b to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2201*j + 65595 = -9239 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 243394930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:17 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, j: 2, e: 2}. Give prob of sequence jej.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001000100110101 (base 2) in base 16?\nAnswer: -51135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2 - 3 - 8*u + 0. Suppose -l = -0*l - 5*c - 26, -l = -c - 10. Let r(i) = -15*i - 2. Suppose -61 = 5*m - 6. What is l*r(y) + m*g(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 not equal to -1289\/96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2\/5851, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-199*v - 416*v - 33*v)*(2 + 2*v - 5*v + v)*(-4*v + 7*v + v) in the form g + t*v**2 + h*v + w*v**3 and give w.\nAnswer: 5184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 49*w = 53*w + 6, 31 = 5*c - 7*w. Solve 0 = 2*g, c*p + 15*g = 18*g + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3284*q*z**3 + 1598*z**3 wrt q.\nAnswer: 3284*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 52 = 38. Sort a, 2, 1, -3 in ascending order.\nAnswer: -3, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69*0.14\nAnswer: 9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37779689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3744 and 7371.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2 (c) -0.5753\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42168 divided by 6?\nAnswer: 7028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -91 - 212*n + 91 + (2 + 3 - 6)*(n + n - 5*n) as q*n + d and give q.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.2, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9888817681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-6)\/q)\/(q**(2\/17)\/q))\/(q**(-4)*q*q**(1\/4)))\/(q*q\/q**6*q*q*q**6*((q**(-2\/3)\/q)\/q)**(-11\/5)) assuming q is positive.\nAnswer: q**(-13499\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 17*d**5\/20 + 59*d**3 - 8*d**2 + 17*d. Find the first derivative of i(c) wrt c.\nAnswer: 102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 + -19.5. Let s = -22.9959 - v. What is s rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1961, 3908, 5855, 7802, 9749?\n\"Answer: 1947*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4*(sqrt(832) + -1 - sqrt(832)) - sqrt(832))**2 + sqrt(832)).\nAnswer: -3392 - 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1447630 by 723815.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*u + 477*u + 6618 = -10262 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 144 = -3*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 5*y**2 + 3. Let q(h) = 0*h**2 + 2*h**2 - 3*h**2 + 0*h**2 + 4*h. Let f be q(5). Let r be k(f). Which is smaller: 5\/3 or r?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1*6)\/sqrt(5))\/((sqrt(162)*-4)\/sqrt(9)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {p: 3, a: 3, g: 3, r: 3, z: 4}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 441 + -449 + 1 + 11 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -2*y**5\/5 + y**4\/6 - y**2\/2 + 5*y. Is l(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 0 - (-6 - -4). Suppose g*i - 2080 = -756. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/(-50))\/((-2)\/(-5)). Let c = 24 - i. Suppose 2*g - 92 = -3*b - b, -218 = -5*g - 4*b. Calculate the remainder when g is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 3)*(2*r - 3*r + 2*r) + (-1 - 5 - 1)*(-4*r + 2*r + 0*r).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 17*n**2 + 16*n**2.\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = 0, -19*z + 21*z = 3*x - 57. Suppose -x*l - 11 = -32*l. Let s(o) = o**2 - 5*o + 6. Let a be s(4). Solve a*r - l = n, -r + 5 - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2 - 908720*v - 23628072 = 0.\nAnswer: -26, 454386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 9*u + 1. Let l(h) = -2*h**2 - 2*h. Give -26*l(t) - 6*y(t).\nAnswer: 4*t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -10.33801, -1 in increasing order.\nAnswer: -10.33801, -1, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -64 (c) 9 (d) 2\/3 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*k**2 + 50*k**2 - 79*k**2 + 3*k + 33*k**2 - 17 in the form r*k + v + f*k**2 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43650943846 take away 6?\nAnswer: 43650943840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16*v - 11. Let z be t(-2). Suppose 20*n = z*n - 6. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - ((-2)\/(-9) - 14483077\/1449). What is the greatest common factor of 137 and f?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, -80, -212, -356, -512?\n\"Answer: -6*i**2 - 102*i + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1511981030 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 235 - 71. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -2\/27 (c) 1\/1961 (d) 2\/13 (e) -0.4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(18\/110)*6624\/5520\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5*a**3 + 3*a**3 + 4*a**3)*(-3*a + 2*a - a).\nAnswer: -4*a**4 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*n + n. Suppose -o = -2*m + 1, 6*m - 1 = 3*o + 2*m. Calculate the remainder when n is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20962 + 20985. Sort u, -5, -3\/7, -0.3, 0.3.\nAnswer: -5, -3\/7, -0.3, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7826210*s**2 - 30565416*s.\nAnswer: 15652420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 94? (a) -1\/4 (b) -3 (c) -0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -55026*z - 55019. Determine g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1488*28.\nAnswer: -41664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 1, -0.3, 384\/1385?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 6, f + 3*j + 2 = 7. Suppose 0 = -f*z - 14*z + 4100. What are the prime factors of z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1899429*k**3*p**2 - 12500*k**2*p**2 + 45*k**2*p - 2*p**2 - p wrt k?\nAnswer: 11396574*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 49 = 7*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2 - 94\/(-188)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -363\/7, -0.4 in increasing order.\nAnswer: -363\/7, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 + 6*p**2 + 7*p + 17. Let y(m) = 3*m**3 + 5*m**2 + 6*m + 16. What is -6*h(l) + 7*y(l)?\nAnswer: -3*l**3 - l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -8\/27*i**3 + 18 + 1\/3*i**4 - 4\/45*i**5 + 0*i + 0*i**2. Factor y(c).\nAnswer: -4*c**2*(c - 2)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 290172 and 0.0518.\nAnswer: 290172.0518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + 100001010000101010000?\nAnswer: 100001010000100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1954099949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2174*b - 2168*b + 6515*b - 2172*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -272 - 169. Let h = o + 509. Is 34 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 334*n + 807 + 3*n**3 - 59*n**2 + 5*n**2 + n**3 - 417. Let j(q) = q**3 - q - 1. Let f(o) = 2*j(o) - p(o). Find g, given that f(g) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 37. Suppose -18 = 5*u - 68. Calculate the greatest common factor of p and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 152709, 152714, 152719, 152724?\n\"Answer: 5*o + 152704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -4*q**6\/5 - 29*q**5\/60 - q**4\/12 + 13*q**2. What is the third derivative of z(k) wrt k?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 512, 193, -308, -985, -1832, -2843, -4012?\n\"Answer: c**3 - 97*c**2 - 35*c + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6685, 7001, 7461, 8011, 8597, 9165?\nAnswer: 9661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k*(k*k*k**5)\/k*k)\/k)*(k*k**(1\/2))\/k*(k\/k**6)\/(k**0\/k) assuming k is positive.\nAnswer: k**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 25. Let f be i(-5). Suppose -4*n - 3*o = -28, 2*o + f + 23 = 2*n. Solve d + n = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {c: 1, w: 2, u: 1, q: 3, v: 4, g: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2796)\/630 - 8\/60) + 4. Let g(r) = r**3 + 5*r**2 + 2*r - 3. Let u be g(-4). Which is the closest to 0? (a) m (b) u (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 770\/3 - 1543\/6. Let d = 2.99 + 0.01. Let m = 2.7 - d. Sort l, 0, m.\nAnswer: l, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 2*t**2 + 4*t**2)*((1 + 2*t - 1)*(-10*t + 2 - 2) - 4*t - t**2 + 4*t).\nAnswer: -21*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01263 - 0.98737. What is the nearest to -60 in 9, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*y - 18*y + 2 + 40*y in the form i*y + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(-2\/7)))\/r**(-2\/3))\/(r**(2\/5)*r)**26 assuming r is positive.\nAnswer: r**(-3887\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:52 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 50 = 10. Let i(f) = f + 17. Let s be i(z). Solve -3*a + a = -2, a = -5*o + s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271 - -83. Let r = w + 208. What is the lowest common multiple of r and 464?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1498 plus 3?\nAnswer: 3.1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169.3756 centimeters to nanometers.\nAnswer: 1693756000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in four fifths of a litre?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let j(c) = 53 + 73*c**2 - 116 + 63 + 28*c. Let y(o) = -j(o) - 4*m(o). What is the second derivative of y(l) wrt l?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + t**2 + 2*t**2)*(-4 + 2*t + 4) + (3*t + t - t)*(3 - 3 - 2*t**2).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((((-12)\/3)\/(-2))\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(3010\/4))\/(194\/(-485)).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/7 + 22*j**3 + 1632*j**2\/7 + 4680*j\/7 = 0. What is j?\nAnswer: -65, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143206 + 230087. List the prime factors of j.\nAnswer: 283, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1096883483026 less than 90?\nAnswer: 90.1096883483026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.8 (b) 2 (c) 0.1 (d) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1472 = 3*n, 3*n - 15*m = -10*m + 1454. What are the prime factors of n?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109664364 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {j: 4, t: 2, z: 10}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1138*k**3 - 3*k**2 - 2*k - 6. Let g(l) = l**3 - 2*l**2 - l - 3. Give b(j) - 2*g(j).\nAnswer: 1136*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 855, 3443, 7733, 13707, 21347, 30635, 41553?\nAnswer: 54083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (4*sqrt(325) + sqrt(325) + sqrt(325)))*-2)**2 - ((sqrt(1573) + 5*sqrt(1573))*1)**2.\nAnswer: -24128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:45 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-74)\/(-3))\/(2\/33). Suppose -3*v + 4*p + 235 = -0*v, 5*v = -p + c. Let q = v + -40. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-47)*g\/g**(3\/2)*g**4 assuming g is positive.\nAnswer: g**(-87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71666482001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175900996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3515 divided by -28690?\nAnswer: 37\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l + 1\/3*l**3 - l**2 + 1\/12*l**4 + 0. Differentiate z(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.16 + 2.04. Let x = -15.2 + o. What is the nearest to -0.2 in x, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1550 = 6*b. Calculate the highest common factor of b and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -d - 12, -4*d + 2*v - 18 - 66 = 0. Sort d, -0.5, -3\/2, -1.\nAnswer: d, -3\/2, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224010073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/324 and -37\/5900?\nAnswer: 477900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m, -4*d - 10*m = -11*m + 935. Let l = d - -785. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 - -7e?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 + 2 + (-8 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 + (3 - (-1 + 3)). Suppose x = 2*x. Solve -3*m + 2*b + x = -4, m - y = -2*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a - 3*d + 8*d + 5*d = -116*a - 140*a + 3005, 5*a + d = 77 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**2 - 4*c**2 + 2*c - 2*c**3 + 2*c**4 - 3*c in the form t*c + z*c**4 + g*c**2 + h*c**3 + k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, y: 7, q: 1, b: 7}. Give prob of picking 1 s, 2 y, and 1 b.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or 4\/21?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 - 3*y**3 + 3*y**2 - 4 + 2 - y**2 - 6*y**4 in the form w + l*y + a*y**3 + d*y**4 + z*y**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 6, p: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/44 and -15\/41944.\nAnswer: 461384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**6\/144 - b**5\/24 - 5*b**4\/16 - 25*b**3\/36 - 336*b**2. Let l(w) = 0. Calculate w.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(7 - (7 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 62.72, 3\/2, 2.95, 4\/7 in decreasing order.\nAnswer: 62.72, 2.95, 3\/2, 4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -81, -125, -169, -213, -257?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from phppsphsp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -13667737?\nAnswer: -13667740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {z: 7, f: 4, u: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/4847?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248812767, 248812766, 248812765, 248812764, 248812763, 248812762?\nAnswer: 248812761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or 143\/14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 + -85. Let i = o - 62. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/24 + 3 + (-33)\/(-9). Solve -k + q*k = -6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 795 + 476 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from oxouauoooaoqoaaoa?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 18*y**2 + 231*y + 213. List the prime factors of p(52).\nAnswer: 3, 53, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.6 - 14.5. Which is bigger: t or 6\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 14*f - 28. Let n be c(16). Suppose 5*q + n*a = 3*a + 59, -5*a + 64 = 4*q. Suppose 11 = 2*u + q. Are 0.1 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 925 + -877. Calculate the remainder when 228 is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, -196, -154, -3.\nAnswer: -196, -154, -3, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1065 + 534.1065. Let r = -533.5 + o. Which is the closest to 1? (a) 1\/6 (b) -4 (c) r (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 3738 = 3647. Put 5, 1, g in increasing order.\nAnswer: g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39 + -3a?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6*l**2 - 1)*(-36*l - 40*l - 10*l) to the form u*l + y + r*l**2 + i*l**3 and give i.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -45.6 greater than 398540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -237 + -828131.184\nAnswer: -828368.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -30. Let m = -36 - k. Calculate the highest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1743 (base 10) in base 15?\nAnswer: -7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -0.172?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2) + sqrt(36)\/sqrt(2) + sqrt(2) + -3) + -5 + -1)**2 + -1 + -4 + -1.\nAnswer: -450*sqrt(2) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 11. Let y be j(7). Suppose u + 6 = 3*a, -y*a + 2*a + 2 = -3*u. Which is greater: u or -0.07?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 3*q**2 - q. Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.8. Let w be 0\/2 - 2 - -1. Let g = -10 + 6. Which is the second biggest value? (a) v (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 - 83*j**2 - 2*j**3 + j**3 - 2 + 84*j**2 in the form a*j**3 + x*j**4 + k + o*j**2 + q*j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 78910513153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 186?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(300) + sqrt(300) + sqrt(300)*1))\/(sqrt(54)\/sqrt(2)*-2).\nAnswer: -sqrt(5)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 9 = -k - l, -8*k - 55 - 1 = 4*l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 33*j - 2. Let t = 0 + 9. Is h(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*6*4*(((sqrt(204) - (-1*sqrt(204)*2 - sqrt(204)))\/sqrt(12))**2 - (sqrt(153) + 5 + 0)).\nAnswer: -25629 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*i - 22315 = -2347 for i.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h + 3. Let d be 6\/(-6)*(-2 - -4). Let v(w) = 3*w + 2. Calculate d*g(i) + 3*v(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1069680, -1069693, -1069700, -1069695, -1069672, -1069625?\nAnswer: -1069548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6192 - 687. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**5\/7 + 136*w**4\/7 - 1284*w**3\/7 + 2176*w**2\/7 - 1024*w\/7 = 0?\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -1 - (-4 + -6 + 13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + (-107 - -68) + -148.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45321, -45440, -45633, -45900, -46241?\n\"Answer: -37*n**2 - 8*n - 45276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o + 6. Let r = -8 - -12. What is the lowest common multiple of r and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 163, 318, 471, 622, 771, 918, 1063?\n\"Answer: -x**2 + 158*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + (-3)\/51.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*sqrt(405)*1 + 2*sqrt(405)*1).\nAnswer: -63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 4*m**3 + 3*m**3 - m**2 + m**2 + m**3 + (1096*m - 1096*m - 31*m**3)*(-31 + 62 - 29).\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, d: 3, t: 3, l: 2, g: 7}. What is prob of sequence dccl?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800)*2)\/(sqrt(160) - (sqrt(160) + (sqrt(160) - -1*sqrt(160)) + sqrt(160))))**2 - (-1*sqrt(3025))\/(2*sqrt(5)*1).\nAnswer: 20\/9 + 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -193504?\nAnswer: 193505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000113819 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b - 190. Let n be p(-64). Solve -t = 3*d + 10, -8*t + n*d + 18 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5 - 30*u**4 + 681*u**3 - 432*u**2 - 3780*u = 0. What is u?\nAnswer: -21, -2, 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 141, 279, 413, 543, 669, 791, 909?\n\"Answer: -2*m**2 + 144*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3, -i = b - 3*b - 9. What is the lowest common multiple of (-50)\/15*(-2 + b) and 2*9 - (0 + 0)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*j**3*v**2 - j**3 - 2*j + 36*v wrt v.\nAnswer: 146*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*p - 0. Let r be ((-30)\/p)\/((-15)\/20). Suppose -4*q - 15 = -d + r, -3*q = 3*d - 30. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 s when four letters picked without replacement from xsoqo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -14 + (107 - 91) + 46 + 0?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-212)\/(-6))\/(62\/279) + -9. Solve -12*y + t = 210 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301665 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((50\/(-4))\/5)\/(9 + -9 + -5). Let -1\/2*w**2 + 1\/2*w + o - 1\/2*w**3 = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -328723 - 6*w**2 + 4*w**4 + 0*w**2 - w - 2*w**3 + 328729 as m + t*w**3 + a*w**4 + c*w + i*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 8*m - 225. Let w = m + 56. Which is the closest to w? (a) 3 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.023 - 0.074. Let l = -1.051 - d. What is the fourth biggest value in 6, -0.5, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 21 + 37 + 19 - r. Let a be z(10). List the prime factors of (3 - a)*(-171)\/2.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 6*o + 5. Suppose 5 = u, 11*n = 12*n - u + 7. What is m(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 19*r**2. Let g(i) = -22000*i. What is y(g(m))?\nAnswer: 9196000000*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 33*w**2 + 229*w + 8307. What is k(-32)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + 0 + (-26 - -31).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixb when three letters picked without replacement from bbebbbibx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10)\/g)\/(g*(g\/((g\/((g*g**0\/g*g)\/g))\/g))\/g*g))**43 assuming g is positive.\nAnswer: g**(-559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75193955.\nAnswer: 5, 29, 518579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*b - 20 = 0, -10*p - 22*b + 11*b = -2*p - 14*b - 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*2*1\/(-5). Let a = 2 + g. Let k(r) = r - 10. Let u be k(12). Solve 4*h - 5 = -a*h - 3*l, u*h + 8 = 2*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.027 + 29. Let w = l - -0.0270092. What is w rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.059031 and -595440.\nAnswer: -595440.059031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = 2*k - 3*k + 17*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -32*j + 8. Let c(g) = -g - 3212. Give f(c(w)).\nAnswer: 32*w + 102792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -101*r**2 + 1 + 64*r**2 - 3. Let q(h) = 2*h**2. Determine q(p(l)).\nAnswer: 2738*l**4 + 296*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 5. Is g(9) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**4 - 6*k**3 + 177*k**2 - 576*k + 540 = 0.\nAnswer: -10, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*x - 59552, -t - 18*x - 14883 = -21*x. Which is smaller: -14888 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16772.53um in meters?\nAnswer: 0.01677253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 5) to base 3.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 = 2*i, i - 2*t = -0*i. Let s(x) = -6*x**2 - 2*x. Let z(l) = 7*l**2 + 2*l. Let v(k) = -5*s(k) - 4*z(k). What is the units digit of v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2*x + 1228, -7*b = -11*b - 5*x + 825. Solve -206*l + b*l = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 720, 1444, 2172, 2904, 3640?\n\"Answer: 2*m**2 + 718*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 27 = 4*g, -11*g + 7*g - 4*t = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 4, 3, 134 in descending order.\nAnswer: 134, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 20*h**2 + 8*h - 11. Let v be q(2). Suppose o + 3*d - 48 = 0, -10*d - v = -2*o - 5*d. What is the remainder when o is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 150*r + 2362. Determine a(65).\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -162017433 divided by 101?\nAnswer: -1604133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + j**2 - 3*j**2 + (-2 + 2 - 2*j)*(-8*j + 8 - 8) + 4*j**2 + 4*j**2 - 4*j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a - 3. Suppose 0 = 3*n + 3*x - 24, n - 5*x - 2 = -n. Let q(k) = k + 1. Determine n*q(f) + 2*b(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -598.\nAnswer: 7176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3168.9 - 3315. Round o to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i - 6. Let j(y) = 22*y + 11. Let v(n) = 11*f(n) + 6*j(n). Let m(o) be the first derivative of -1\/2*o**2 + 0*o - 168. Determine v(m(r)).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v - 21. Let a be f(-9). What is the common denominator of 3\/3 - (-70)\/(-6) and a\/99 + (-12)\/(-18)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83660351 to the nearest integer?\nAnswer: 9147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-18)\/(-3) + (-7 - -6) and 66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -492 - -489. Let j(m) = m**3 + 2*m**2 + 7. Give j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10125\/250 - (-13)\/(-2). What is the greatest common divisor of l and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40809.98 nanometers in centimeters?\nAnswer: 0.004080998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d = -36 + 4 - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32e158 (base 15) in base 4?\nAnswer: -21100200311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -23) + -1*3. Let b be 18\/20 + (-8)\/v. Let u = b - -1\/6. Which is greater: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 5 + -13 + -5 + (8 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 2. Let w be b(-2). Suppose -a + 3*a + 2579996 = w. Let p be -1 - -3 - a*1. Round p to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**2 + 5*v. Let k(n) = -n + 2. Let c be k(-3). Let m(s) = 4*s**2 + 3*s. Determine c*m(g) - 3*z(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -27. Do d and -29\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52441, 40347, 28253, 16159, 4065, -8029?\n\"Answer: -12094*y + 64535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 1, 5, -55, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/8 and -119 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0 - 2*k)*(-4*k - 2*k + k)*(-12*k + 12 - 12).\nAnswer: -120*k**3 + 120*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -19*l**4 + 9*l**2 - 24. Let y(c) = -5*c**4 + 2*c**2 - 6. Let u(h) = -2*d(h) + 9*y(h). What is the first derivative of u(j) wrt j?\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1616 times 8\nAnswer: -12928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - -26. Let j = w - 91. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1944 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -15. Let h = -150 - -155. Suppose 11 = 2*t + h. Solve -5*r + 25 = -5*n, -4*n = -5*r + t + i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -6 - (-1 - -1 - 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 212311201?\nAnswer: 212311133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2002)\/273)\/(4\/(-2382)).\nAnswer: 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 3971?\nAnswer: 3963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -72?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Suppose t*w - 2*f - 4 = -2, 3*w = 5*f + 13. Let b(m) = -2*m**2 + 2 + 0 + 674*m - 677*m. Determine b(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60014.\nAnswer: 2, 37, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 145751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1633921*k**3 - 1566096*k?\nAnswer: -9803526*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 3*w**2 - 18*w - 2. Let f be r(6). Let i(d) = -3*d - 5. Let p be i(f). Which is the closest to 0.6? (a) 5 (b) -0.05 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = l + 5*s, -5*s - 17 - 2 = -l. Calculate the remainder when ((-4)\/(-1) - l)*(-11008)\/(-640) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r - 63*r - 75*r - 2207*r**2 - 13*r.\nAnswer: -2207*r**2 - 165*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:13 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 39*z**2 - 133*z - 63. Calculate f(-35).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 446*n - 458*n + 3*n**2 + 22 - 4. Suppose z - 6 = -0*z. What is the least common multiple of z and u(8)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 20 = -12*p. Let f be (p - -4)\/(-4)*-1. Is 0.01 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 3:33 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1293870 and 446335?\nAnswer: 5015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -46 * 4\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 24 = -0*m. What is the derivative of -4*s**2 + 4 - 5*s**2 + m*s**2 - 5*s**2 wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 323?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let w(b) = -b**2 + 594. Determine w(f(v)).\nAnswer: -4*v**4 + 594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 14 - 154 = 5*a, 3302 = -2*a + 7*a + 2*x + 3494 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (20 - (1 - 0)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*d = -4762 + 4282 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 1, t: 3, i: 5, j: 2}. Give prob of sequence jrt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 84*y - 84*y)*(-11 + 7 + 2 + 5*y).\nAnswer: 15*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*m = 63*m + 36*m + 52290. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-i - 3*i + 2*i) + (-3*i + 4*i - 2*i)*(2 - 17 + 6).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5 + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*b + 6*b**3 - 3*b**3 - 15*b**3 - b**2 to m*b**3 + i*b + k + x*b**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b = 5*z - 95, 4*z = -2*b + 52. What is the greatest common factor of 30 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 - 12 - (2 - 2\/1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 201246337 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**3*s**2 - 778*o**3*s - 428*o**2*s**2 + 2*o**2 wrt o?\nAnswer: -6*s**2 - 4668*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d - 3. Let y be j(-2). Let u = y - -4. Calculate the least common multiple of 6 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**4 + 7 - 7 + (-3*q**3 + 2 - 66*q + 66*q)*(1 - 2 + 3)*(q + 2*q - 4*q) in the form b*q**3 + x*q + r*q**4 + k + o*q**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1)*(-3 - 6 + 0)*(47 + 14 + 0)*(-2*n + 0*n + 0*n).\nAnswer: -4392*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32292815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 12217, -4, -0.044, 4, -0.3, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10362684 + 10362686.0999987. Let y = k + -2.1. What is y rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:04 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vydylyb. Give prob of picking 1 v and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19328 rounded to 3 decimal places?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.2, -279?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*s + 15*s + 65*s**2 - 33*s**2 - 31*s**2 in the form l + h*s + a*s**2 and give h.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125850159, 251700319, 377550479, 503400639, 629250799?\nAnswer: 755100959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*3\/(-9)*-1. Suppose 0 = -u*r - 10, -4*r - 21 = -2*o + 43. What is the highest common factor of 88 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/2 - -1)\/2. Suppose m - g + 6 = 0. Sort 0, -1, m in increasing order.\nAnswer: m, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 9*z + 98. Give j(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.4. Let f = 11.8 - 12. Let g = f - -0.14. Is p bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -1257?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 231, 557, 1003, 1569, 2255?\nAnswer: 3061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cutuuuutuuucuuuuut?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvuuvvvvuv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25979 - 25978.8. Which is the closest to r? (a) -22\/13 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 26*g**3 + 126*g**2 - 270*g + 216.\nAnswer: 2*(g - 4)*(g - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + c**3 + 0*c + (2*c**2 - 1 + 1)*(-c - c + 0*c) + (3 - 2 + 4)*(-c**3 + 0 + 0).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3433, 3431, 3429, 3427, 3425?\n\"Answer: -2*h + 3435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 20*r + 22*r - 38*r + (6 - 1 - 4)*(-2*r + 0*r - r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-8)\/6)*2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/23 + 256*f\/23 + 2176\/23.\nAnswer: -2*(f - 136)*(f + 8)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 19 + 18)*(-1 + 2 + 0)*(4*d + d - 4*d).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q - 12 = -4*m, 5*m = 2*q - 13. Suppose 7 = r + q. Suppose 3 = -3*w - r, 0 = -p - 4*w - 5. Solve -p*i = -i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-247)\/(-19))\/78\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 13. Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*6\/(-2))\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 * -0.31.\nAnswer: -0.0837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4834 and -139.43?\nAnswer: 674004.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -23*v + 97. Let t be j(4). Let m(c) = c**3 - 3*c**2 - 2*c - 30. Calculate the remainder when 299 is divided by m(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/1 - (-10)\/(-1). Let l be (-12)\/a*7*10. Suppose -5*j + l = -0*j. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 18*n**2 - 7*n**2 + 0 as w*n**2 + d*n + l and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiiifiriforhriif. What is prob of picking 1 i and 3 r?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 32 = -2*b, 3*b - 58 = 2*m - 24. Let w be 10\/35 + 32\/m. Let z(q) = -2*q + 3. Is z(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13151\/5 - 5102203\/1940. Calculate the common denominator of c and 29\/28.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 6*n - 11*n. What is the remainder when 37 is divided by 4\/((-48)\/64 + n\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -117 in -20, -4, 58?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 12:13 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/2233?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 21*k**3 + 295*k**2 + 131*k + 1675. What is a(-14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -330544 smaller than -330542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 10*b + 6. Let n be p(-7). Let g = -15 + n. Let z(r) = r**2 - r - 7. What is the remainder when z(6) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 9 + 0*j**2 - 83*j - 11\/3*j**3. What is the first derivative of l(u) wrt u?\nAnswer: -22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 4. Let g(j) = 2*j**2 - 3. Let m be g(2). Which is the second smallest value? (a) m (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0 - 1 - 4*k)*(k + 3*k - k).\nAnswer: -3*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.55 + 0.35. Let w = -0.6 - 2.4. Let i = -2 - -1. Which is the third biggest value? (a) i (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2)**2 + sqrt(704)*-1.\nAnswer: -8*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1755 = -726*o - 423 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(20\/16*-6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11)*-1 + sqrt(11) - (-2 + 2 + sqrt(11)))**2 - sqrt(77)\/(sqrt(700) + sqrt(700)*-2 - sqrt(700)).\nAnswer: sqrt(11)\/20 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v**3 - 126*v**2 + 286*v - 69. Determine y(-16).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20925, -20949, -20973, -20997, -21021?\nAnswer: -21045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*n + 275*n = 150. What is the greatest common divisor of 438 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 4. Let z = p + -8.982. What is z rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1)*(2 - 1)*-1. Suppose -9 = s - 4*g, 0 = 6*g - 2*g - 12. What are the prime factors of y\/s*1032\/(-16)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2 = b, 4 = -6*c - 757*b + 753*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1027 and 442?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 + 14*d. Let i(g) = 20*g**2 + 69*g - 1. Determine -2*i(u) + 11*o(u).\nAnswer: 4*u**2 + 16*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57\/2 - -89\/3. What is the common denominator of j and 59\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d - 2*d + (11 + 4*d - 11)*(-3 + 4 + 1) - 4 + 4 - 4*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91, -86, -69, -34, 25, 114, 239, 406?\n\"Answer: r**3 - 2*r - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 19 - 1 = 0. Suppose -l*k = -52 - 18. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 2*f - 2*f**3 + 3*f**2 + 2*f**3. Let i be u(1). What are the prime factors of i*(-236)\/(4\/1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 36*r**2 + 54 - 19*r**2.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 842, 6691, 22562, 53465, 104410, 180407, 286466?\nAnswer: 427597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77 take away -59?\nAnswer: 58.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.827 + 6.9. Let j = p - 17.273. Round j to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -1, 37, 127, 287?\n\"Answer: 3*z**3 - z**2 - 14*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {c: 2, v: 2, l: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 13) to base 15\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69949 divided by -2.\nAnswer: 69949\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 427237 to the power of 1\/2, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**3\/6 + k**2 + 2*k + 3. Let t(c) be the first derivative of p(c). Differentiate t(d) with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 113002 (base 5) to base 3\nAnswer: 12122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339757?\nAnswer: 11, 67, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 11) in base 7?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82993*h**2 + 577*h**3 + 83182*h**2 - 166175*h**2.\nAnswer: 577*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) 0.2 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 54473 - 3*v + 54471 + v**2 + 5*v**3 + 63*v**3 in the form u*v**4 + i*v**2 + m*v**3 + n*v + r and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/540 + k**5\/270 + k**4\/18 + 610*k**2. Determine v, given that d(v) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 12. Let a = -1988 + 1976. Calculate t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 127*r**2 + 132*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = 3*z. Suppose -2*a = -3*f - 34 + 11, z*f = -a - 6. Let q = 128 - 125. Solve 0 = a*j - 5 - q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -453\/7. Let f = -92.01 + 84.01. Which is the closest to 0.1? (a) f (b) y (c) -0.3 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 280*u + 12006. What is o(-43)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -12*p - 1. Suppose k + 10 = -3*u - 1, 3*u + 15 = -3*k. Let w = u - -2. What is the units digit of i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**(-25)*(l**11\/l*l)\/(l*l**(-11)) assuming l is positive.\nAnswer: l**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 (base 12) in base 5?\nAnswer: -11132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -32. Suppose -10 = -y*s + s. Solve -p = -s*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -y - 4*c, -5*y - c = -5*c + 1. Suppose 764 = y*w + w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/21 + 93808*m**2\/7 + 938030*m\/7 + 7035100\/21 = 0 for m.\nAnswer: -140702, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124393831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (11 - 9 - (0 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/5 + 1383*m**2\/5 - 122293*m\/5 - 633759 = 0. What is m?\nAnswer: -1465, -21, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -361.3 + 347. Let y = 9.3 + g. Which is smaller: y or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1904 - -2506. Round n to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + ((5*3*sqrt(10))\/sqrt(5) - (-3 + sqrt(18) + 2)))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 - -60463?\nAnswer: 60354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 3a?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1439*j**2 + 8*j - 7. Does 20 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173324419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -105. Put -5, -12, 2, d in decreasing order.\nAnswer: 2, d, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22781)\/4796*24\/1900?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 499229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3439, 21.94, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1)*(-8 + 9 - 8)*(-410 + 81*p + 410) as l + u*p and give u.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1813, 2839, 3867, 4897?\nAnswer: 5929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i + 4*i + 2*i)*(2*i + 2 - 2)*(0 - 260 - 913 - 55).\nAnswer: 12280*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 4. Let x be k(0). Let i(w) = 8*w + 9*w - 8*w - 12*w + 6. Determine i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 16. Let s = 2.6 + -2.8. Let q = -51.4 + 51. What is the fourth biggest value in s, -3, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*x, 8*f - 3*x + 31 = -24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*b = -5*u + 80*b - 2, -5*u + 5*b = 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -46 - ((-88 - -131) + -85).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233622891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - -65. Let p = 511 - 6241\/12. Find the common denominator of (z\/10)\/((-12)\/10) and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2064751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = 4*k, k = u + 3*u + 8. Suppose k = y + 4*o - 6, -6*o = y - o - 8. Let l = 6 + y. Solve 3*t + t + 6 = -5*b, 2*b = -l*t - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -414*p + 2928. Determine a(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (320898\/22341)\/((-4)\/22).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*b + 59*b + 8016 - 8016.\nAnswer: 283*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 78 = 2*l + 75, l = 38*u + 38 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)*c*c*c**17*c*(((c**(-18)\/c)\/c)\/c)\/(c*c**(-2\/21)))**(1\/24) assuming c is positive.\nAnswer: c**(-139\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 15927.54.\nAnswer: 1592.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*j + 41880, -13*w - 69829 = -18*w - 3*j. Suppose 10*d + w = 14*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2544 and 24?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 572\/8 - 3\/(-6). Suppose 7*w - f = 488. Let g = w - 10. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249627431?\nAnswer: 249627431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 4, h: 2, j: 12}. Give prob of sequence hcj.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + 2*y**2 - y. Calculate o(3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:34 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*u - 32*u + 3657. Let z = u - -1780. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1631, -12664, -42607, -100916, -197047, -340456, -540599, -806932?\nAnswer: -1148911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(102) + (-3*sqrt(102)*1 - sqrt(102)) + sqrt(102))\/((sqrt(6) - sqrt(384)*-6)*6).\nAnswer: -3*sqrt(17)\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1127\/2228 + -209021\/168214. Let j = 2\/151 - k. What is the smallest value in -0.03, j, 0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1790000 and 107\/1074000.\nAnswer: 5370000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 39\/5*p**2 - 73\/5*p**3 - 2\/5 + 1\/5*p + 7*p**4 = 0.\nAnswer: -1\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52764 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:39 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37073883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**4\/4 + 7*l**3\/3 + 3*l**2 - 15*l - 4. Let f be g(8). Let h = f - -62. What is the remainder when h is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215866135 divided by 43173227\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7300810 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -23) + (1857 - 1871)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15368 = 4*a - 12*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-188.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/120 + u**5\/6 + u**4\/6 - 3*u**3\/2 + 10*u**2. Does 29 divide d(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 12*v**2 - 13*v - 3. Let r(z) = -z**3 + 12*z**2 - 13*z - 4. Let s(m) = 5*i(m) - 6*r(m). Is s(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40612 and 306436?\nAnswer: 3370796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 1\/10 (c) 2\/7 (d) 4 (e) 269\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9314209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 318 and 87043490?\nAnswer: 261130470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3408639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/425 and 32\/245.\nAnswer: 20825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1681050 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -245 + 11. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**5\/60 + 7*r**4\/12 - 29*r**3\/6 + 13*r**2. Let u be q(4). Solve d + 4*a + 8 = 0, 5*d + a = -2*a + u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 15*l**2 - 34*l + 67. What is the thousands digit of o(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 20 = 4*j, -48*j - 200*s - 284*s = -488*s - 176 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09667 and 4.\nAnswer: 4.09667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(30)\/(-3*sqrt(6)) + sqrt(5)))**2.\nAnswer: 256*sqrt(5)\/3 + 2624\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 215249075*w - 46332164288355625\/2.\nAnswer: -(w + 215249075)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 9:18 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a + 1d?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2)\/(-1) + -1. Suppose u - 5 = -5*c + 41, u + 4 = v. Suppose d + 4*d = c. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*d - 3*s = -347*d - 5*s - 30, 17*d = 4*s - 129 - 11 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 6 + 9. Let t be i - 1 - (-44)\/(-21). Suppose -6*a = -4*a. What is the nearest to a in t, 0.4, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 1157 + 1160 - 2335 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 14*g - 88. Suppose 0 = l - 5*l + v - 13, 0 = -4*l + 3*v - 15. Let q(u) = -14*u + 2. Let k be q(l). What is the greatest common factor of k and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672099717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289584 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/727 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 2:15 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-38)\/133)\/((-4)\/7). Which is the third biggest value? (a) k (b) 0 (c) 185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1933371*j + 1035208.\nAnswer: 1933371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (-14)\/2*(-6)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a day?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*v + 7670 + 7774 = 0. Solve 23*a = -v*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by -54.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1963737 and 9252?\nAnswer: 7854948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 26*i + 80 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26593 (base 10) to base 16.\nAnswer: 67e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1102 = -91*f + 8382. What is the remainder when f is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 126165*z - 26494652. Determine n(210).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**5\/5 - p**3\/3 - 6. Find n such that m(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.0541 (b) -17 (c) -0.1 (d) -1189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13647 (base 9) to base 10\nAnswer: -9277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*(-2)\/((5\/30)\/((-527)\/(-372)))?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - -32.8. Let d = -29 + v. Let q = -4 + -1. Which is the biggest value? (a) d (b) 1\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3, 2, -2\/3, -1.391?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2003*d*h*n - 965454*d*n + 2*d*p + h*n - 271*h*p**3 - 2*n*p**3 with respect to h.\nAnswer: -2003*d*n + n - 271*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -417397248*a**4 - 218809*a**2 - 88*a - 4?\nAnswer: -10017533952*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 2025047218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, j: 3}. Give prob of sequence jj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -804708.04 - -804713.9400109. Let m = k + -5.9. What is m rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*b)*(0*b + 0*b - 2*b) + 2*b - 2*b + 9*b**2 + 35 - 52*b**2 - 35 + 161*b**2.\nAnswer: 122*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 divided by 11587?\nAnswer: 920\/11587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630982225?\nAnswer: 3, 5, 29, 1209647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -515*p + 495*p + 11240. Calculate the remainder when p is divided by 88.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8459 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62021, -62023, -62025?\n\"Answer: -2*b - 62019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 24. Let k be v(14). Let y = k + 99. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 5*f**2 + 5*f + 1. Let l be y(4). Suppose -l*s + 3 = -17. What is the lowest common multiple of 9 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*g - 69. Suppose -b = 4*p - 1, -2*b - p + g = -5*p. Solve 0 = b*v + 2*o + 28 - 6, -2*v - 6 = -2*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 10:37 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/7 + ((-1)\/1 - 3). Let j(n) = -n**3 + n**2 + n + 1. Let l(u) = -5*u**4 - 59*u**3 - 131*u**2 - 121*u - 36. Let a(o) = f*j(o) - l(o). Factor a(i).\nAnswer: 5*(i + 1)**3*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3\/8))\/a)\/((a*(a**(-2)*a)\/a*a)\/a)*a**(-11)*a**(1\/22) assuming a is positive.\nAnswer: a**(-843\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.5. Suppose -5*y = -5, 5*y + 5 = 24*x - 19*x. Let r be x\/(12\/(-5)) - (20 + -21). Sort r, u, -0.1.\nAnswer: u, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130322 (base 4) in base 7?\nAnswer: -23223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 236*q**3 - 3*q**2 - 30*q + 157. Is f(4) a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 17. Let y = -7\/10 - -1\/5. Let d = 0.1 + -0.3. What is the biggest value in d, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -22. Calculate the smallest common multiple of 35 and s.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r - 2. Let l be v(3). Let a = -7 + 3. Put a, -5, l in descending order.\nAnswer: l, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**4 + 2360*z**3 + 293475*z**2 + 10835140*z - 11130980 = 0?\nAnswer: -301, -86, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 35*i - 103. Calculate m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32508 + -194995\/6. Which is the nearest to -2\/5? (a) -2\/9 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5928, -5929, -5930, -5931?\n\"Answer: -m - 5927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -126, -203, -302, -423, -566, -731?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1709 divided by -1.\nAnswer: -1709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25794 + -15098. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 2557500.\nAnswer: 2557500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 16, 3*y + 4*t - 4 - 9 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 5*m**2 + 6*m + 4. Let p(a) be the second derivative of a**5\/4 - 5*a**4\/12 + 7*a**3\/6 + 5*a**2\/2 + a + 2. Give 7*b(d) - 6*p(d).\nAnswer: -2*d**3 - 5*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(27)*-3)**2 + 5.\nAnswer: 54*sqrt(3) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1696 by 106.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31\/(-124) + (-53)\/(-4). Solve -p = -x - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1501 rounded to 1 dp?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in 4, 5, -174541?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*o + 60 = 0, -2*m = -65*o + 63*o + 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1590 + 1590 + 1750*r.\nAnswer: 1750*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10 = h, -2*h + 7 = -3*d - 13. What are the prime factors of 94\/h - (-14)\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80891999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-2 - -147) - 2. Calculate the common denominator of -2 + 1 + 244\/32 and 628\/i - 2\/(-13).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3\/5 + 33413*s**2\/5 + 72216277*s\/5 - 4815161 = 0. What is s?\nAnswer: -8203, -2935, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f**2 + 598*f + 4267. Give h(-7).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 62. Suppose j = 2*p + 30, h = 3*j - 5*p - 135 + 50. What is the smallest common multiple of 8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -27*z**3 + z**2 - z - 1. Let h(j) = -j**2 - 14*j - 1. Let i be h(-13). Let n be i\/(-8) - (-1)\/2. What are the prime factors of u(n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 + 218 + (0 - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 10, -4, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -2*h - 52, -3*h - v = 62. Suppose 5*k - 3*t = -66, -3*k + t - 67 + 21 = 0. Let c = k - h. Solve a = 2*a + c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 less than -0.09?\nAnswer: -721.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 + 5. Determine f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and -6614.9724.\nAnswer: -992.24586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 99.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -0.118, -7?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11590 and 168970.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -3, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - 4631c3?\nAnswer: -4631b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/13 - 122*q**2\/13 - 512*q\/13 - 40 = 0 for q.\nAnswer: -2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11670.24102 rounded to the nearest one hundred?\nAnswer: -11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, -1, 5, -3, 53579.\nAnswer: -22, -5, -3, -1, 5, 53579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21009, -84026, -189057, -336102, -525161?\n\"Answer: -21007*z**2 + 4*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 561.287511 - -1\nAnswer: 562.287511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 7 - (-15 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:06 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -123.307.\nAnswer: -124.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239864 + 20*i + 239920 + 76*i.\nAnswer: 96*i + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 h when three letters picked without replacement from {h: 6, m: 1, t: 7}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.885949m to nanometers.\nAnswer: 885949000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4 + -16)\/(-5))\/(11 + -1). What is the nearest to 0.2 in m, -3, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.054456865 * -10.\nAnswer: -0.54456865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*c + 2*c, -2*w - 4*c + 336 = 0. What are the prime factors of w?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/162 and 24 - 19 - (0 - (-107)\/20).\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21736052*j*u - 141387*j + 3279 wrt u?\nAnswer: 21736052*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -1084792\nAnswer: 542396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*m**4 + 10*m**4 - 5*m**4)*(2*m + 2*m - 3*m)*(-1 + 5 - 2).\nAnswer: 46*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:04 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**3\/6 + 5*a**2\/2 + 4*a. Let q be 13\/5 + (-4)\/(-10). Let t = q - 3. Determine f(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 - -336. Suppose -b = -7*g + 5*g - 3*z, -3*g - 5*z = -222. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11964 + 11999. Solve -l - 8*c + 6*c = -6, -5*l = -3*c + r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35, 1 in descending order.\nAnswer: 35, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l - 17. Let o be w(-16). Let y = -30 + o. Let z(m) = -7902*m + 2. Let j be z(y). Round j to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**3 - 2*t**4 + 8*t**3 + t**4 - t**4 - 1 - 6*t to q*t**3 + d*t**4 + k*t + c + n*t**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:04 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/8, 525, -2, -4, -33\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c**2 - 16*c**2 + c**2 + c**2.\nAnswer: -29*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - d**2 + 6. Let b be z(0). Let w = 6 + b. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 - q**4 + 8*q**4)*(-3*q - 4*q + q) + (-2*q + 2*q - q**4)*(-2*q + 2*q + 2*q).\nAnswer: -32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 7 = -3*j + 5*y, y = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 (base 14) in base 16?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, v: 4, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -1. Let f = -0.02 + y. Let q = 0.14 + f. Round q to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:11 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 - 5*b. Let s(i) = -3*i**2. Determine u(s(j)).\nAnswer: 45*j**4 + 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 1066. Let l(o) = o - 181. Determine p(l(b)).\nAnswer: 3*b - 1609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1 + 5.6. Sort m, 5, 0.06, 3 in increasing order.\nAnswer: m, 0.06, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6\/(((((f\/f**(5\/3))\/f)\/f)\/f*f)\/f))\/((f*f**1)\/f)**(-1\/15))\/(f**(-4\/5)*f\/(f\/((f*f**(-5)\/f)\/f*f))*(f**(-1))**(-6\/25)) assuming f is positive.\nAnswer: f**(1147\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-17819\nAnswer: 5345.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54403 - 63083 = -201*i + 90549. Calculate the lowest common multiple of 9 and i.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12*q + 1144. Suppose 4*o - 53 = q. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198472 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26842867.7 + 0.01701?\nAnswer: -26842867.68299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 1 = -3*m, 5*n + 2 = 6*n - 4*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-1) + (0 - 0). Let h = r + -6. Differentiate s**2 - 5 + 3 - h*s**2 - 2*s**2 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37028, 36995, 36962, 36929, 36896?\nAnswer: 36863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346858538 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248 or 250?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 4*k. Let q = -5.521 + -0.479. Which is the third biggest value? (a) q (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/60 + l**4\/12 - 2*l**2. Let d be r(2). Solve 5*k + 5*u - 1 - 24 = d, 4*u = 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37033.\nAnswer: 29, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 1. Let m(b) = 9*b + 19. Give m(i) - 4*y(i).\nAnswer: i + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 8. Let i = z + -1. Let k = i + 9. Sort -2, k, 0.3 in decreasing order.\nAnswer: k, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148080*p - 148073*p - 154 = 0 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**9*k)\/(k**(-2)\/k))**46 assuming k is positive.\nAnswer: k**736","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -311084 divided by 27\nAnswer: -311084\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00145735918 rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6487 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3878, 4823, 5768, 6713?\nAnswer: 7658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-228)\/190 - (-62)\/35.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3842*q - 231*q - 1613*q)*(3 - 3 - 2*q).\nAnswer: 11372*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 9521 - 3086. Let r = 1022 - q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = -2*s - 0, 0 = 5*a + 2*s - 4. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 13. Let f(z) = -z - 7. Let i(u) = 5*f(u) - 3*t(u). Let j be i(2). Suppose j*y = 4*y + 12. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+0.12866\nAnswer: 0.02866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11785 is divided by 1617.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 - 2*h**2 - 8*h. Let v(b) = 3*b**3 - b**2 - 5*b. Let x(a) = -5*u(a) + 8*v(a). What is l in x(l) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 396801*a**2 - 10*a - 1971 wrt a?\nAnswer: 793602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 35) + 2 + 0 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12974.75 + 0.4\nAnswer: 12975.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/12 - 43\/42. What is the third smallest value in -0.4, v, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -750.63513045704?\nAnswer: -750.93513045704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -8. Suppose 6*y + 55 = h*x + 2*y, -x = y - 11. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535279694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 0*p - p + (2*p + 2*p - 3*p)*(-5 + 1 - 3))*(49878 - 19*p**3 - 49877 - 5*p**3) as s*p**4 + z + l*p + g*p**3 + i*p**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17530715*i**3*k + 4*i**2*k**2 + 30*i*k**2 - i*k - 148*i - 5098*k**2 wrt i?\nAnswer: -105184290*i*k + 8*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.76 and 507627609157.\nAnswer: 507627609155.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 7 + 2)*(1 + 3 + 0) + 1 - 2 + 0)*(-3*q + 4*q + 0*q)*(5 + 1 - 4) to the form l*q + x and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790428941.\nAnswer: 11273, 70117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60253, 60213, 60177, 60145, 60117?\n\"Answer: 2*w**2 - 46*w + 60297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23226*w**2 + 11635*w**2 + 11603*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -6185a?\nAnswer: 6185a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20131*o**2 - 4*o + 4. Let r be w(6). Suppose 535304 = -n - r. What is n rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 356945346*v + 292110747?\nAnswer: 356945346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 44*n. Let p(s) = -6551533*s. Give p(i(r)).\nAnswer: 19654599*r**2 + 288267452*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 618\/11. Sort 0.5, p, -0.3, 2\/15 in descending order.\nAnswer: 0.5, p, 2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -178, 2, 5, 0.5, 4 in ascending order.\nAnswer: -178, -0.3, 0.5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 7 - 19 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(2\/(8\/12*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from pbpulbqqpuqp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-19 - -20) + 1 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 8*y + 5. Let a(c) = 6*c**2 + 15*c + 11. Let k(p) = 3*a(p) - 5*v(p). Is k(-8) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6907365, 6907376, 6907385, 6907392, 6907397, 6907400, 6907401?\nAnswer: 6907400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*y - p - 0, -12 = -4*y - 4*p. Suppose -h - 2 + 1 = 0. Sort h, -2, y, -3.\nAnswer: -3, -2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83625359 rounded to the nearest one hundred thousand?\nAnswer: -83600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 21. Let m be j(19). Solve -u - 4 = -m*z, u - 3 = 4*z - 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 2. Let j be x(7). Let f be 4\/3*j\/(-6). Let r be 0\/(-2) - 0\/f. Is -2\/9 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5445*k**2 + 27390*k + 34445 = 0. Calculate k.\nAnswer: -83\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:11 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 5*y - 10, -3*v - 17*y + 5 = -15*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 22*u = -5. Let p(g) be the third derivative of 1\/672*g**8 - 1\/420*g**7 + 0*g**4 + 0 - g**2 + 0*g**3 + 1\/120*g**u - 1\/240*g**6 + 0*g. Factor p(m).\nAnswer: m**2*(m - 1)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93902068 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000596714689 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -6 - (0 - (4 - 8 - -13)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1864.1 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562438.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*i - 20 = -i, -2*i = -4*c - 10. Is 2 a factor of 1\/c - (-63)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200 (base 5) to base 4.\nAnswer: -2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 9. What is r(-17)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + (-92)\/(-22)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1075 - 444603?\nAnswer: -445700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.5, -2\/21, -3, 0.01, -4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19871, -5, 4, 156 in increasing order.\nAnswer: -5, 4, 156, 19871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 8*c**3\/3 - 25*c**2\/2 + 7*c + 4. Is j(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 - (-1)\/(-2). Suppose -16 = -4*l - 4*w, 20 = -g*l + 5*l - 3*w. Suppose -232 - 276 = -l*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1944\/216 - 17\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209) - sqrt(209)*-2 - sqrt(209)))\/(sqrt(132)\/(sqrt(24)\/sqrt(2))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a6 + 221657?\nAnswer: 221361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqd. Give prob of picking 1 q and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbbbbbbbaaabbababa. What is prob of picking 3 b and 1 a?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/3 - 23*z\/3 + 8 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 + -32. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**4 - 5*y**2 + 4. Let d(h) = 2*h**3 - 4*h**2 + 3*h - 2. Let j be d(2). Let n(s) = -2*s**4 + 11*s**2 - 9. Let g(b) = j*n(b) + 9*l(b). Factor g(t).\nAnswer: t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7816576 and 8?\nAnswer: 7816576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 5 + 2*b**2 - 6 + 11*b**4 + b - 9*b**4 to the form o*b + p*b**2 + a*b**4 + k*b**3 + x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/6)\/(-1 - (-2)\/6). What is the greatest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14268 - 1017*r**3 + 1975*r**3 - 998*r**3.\nAnswer: -40*r**3 - 14268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 614 and 2.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -279, -598, -1129, -1872, -2827, -3994?\n\"Answer: -106*n**2 - n - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -898 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 345582364*o**3 - 777*o**2 + 109005?\nAnswer: 2073494184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + (43 - -43) - 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1344 + -570. Solve -773*r = -p*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -67.4. Let k = -2.6 - l. What is the closest to -1 in 0.2, k, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2057)*1 + -5 + sqrt(2057))**2.\nAnswer: -33012 + 880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 613 - 188. Let u = a - -250. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, z: 1, g: 1, o: 1, l: 1}. What is prob of picking 1 t, 1 g, 1 z, and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*s = 6*u - 96, -s = -u + 19. Calculate the lowest common multiple of u and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2049959242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*k - 17 = 0, 3 = t - 2*k + k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2\/13 (b) -0.4 (c) 0.4 (d) 590 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1602 + -1497. What is the remainder when m is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-15))\/(2\/(-20)). Let y be (-6)\/v*(-24)\/81. Factor -y*k**2 + 0 + 4\/9*k.\nAnswer: -2*k*(k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -175, -173, -171, -169, -167, -165?\n\"Answer: 2*t - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/17 or 4\/5?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 400756161 > 400756162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 9*f + 3*f**2 - 6*f)*(-14*f - 24*f + 48*f + 2).\nAnswer: 30*f**3 - 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 104, 107, 112, 119, 128, 139, 152?\n\"Answer: o**2 + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18553 (base 14) in base 8?\nAnswer: -167755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)*w**(3\/10) assuming w is positive.\nAnswer: w**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 83.\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (120\/10)\/(-204)*-1\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53952522?\nAnswer: 2, 3, 13, 47, 14717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 5:37 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -26041574*o. Let y(r) = 4*r**2. What is w(y(z))?\nAnswer: -104166296*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 1, d: 1, f: 1, u: 1}. Give prob of sequence dzu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from ydtguuy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45425 - 11398. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 43. Let z = -18.1 + x. Which is the second smallest value? (a) z (b) -9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 0, -5, 980?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -t - 10422, -t + 4*t = -6. What is a rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1543100 + -20?\nAnswer: -1543120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 10 - 8*l + 9*l + 10. Let q(s) = 2*s**2 + 940*s + 1. Determine w(q(m)).\nAnswer: 4*m**2 + 1880*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59378*f**3 - f**2 - 59383*f**3 - 10*f**2.\nAnswer: -5*f**3 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 - 2264454*i**2 - 4528905*i\/4 - 566113\/4 = 0. Calculate i.\nAnswer: -566113, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 8*y**2 + 7*y + 5. Let h(k) = -k**2 + 13*k - 15. Let c be h(11). Is z(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*a = 22933, 39143 - 4698 = 3*t - 2*a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 201025097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 2*o + (0 + 0 + 2)*(63*o + 3*o + 9*o))*(5*o - 5*o + 3*o**3).\nAnswer: 444*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - 2*h)*(h - h + 2*h)*(-19 - 2398*h + 19 - 762*h).\nAnswer: -6320*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*s - 7*g - 53, -3*s = -g - 37. Let y(n) be the third derivative of 0*n - 7\/3*n**3 + 0 + 1\/24*n**4 + 61*n**2. Calculate y(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/17)*n*(((n**7\/n)\/n)\/n)\/n assuming n is positive.\nAnswer: n**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 32 = -3*u, 4*o + 3*u - 22 = 2*o. Let p = -68 - -65. What is the third smallest value in o, p, 2\/21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, -87, 2 in descending order.\nAnswer: 11, 3, 2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10118530 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68462264 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -32. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*k**2 - 25*k**2 + 49*k**2 + 27*k**3.\nAnswer: 27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = v - 25, -5*a - v + 2 - 27 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33708, 4, 5, 0 in increasing order.\nAnswer: 0, 4, 5, 33708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 2*g + g)*(g + 3*g - 2 + 0*g).\nAnswer: -8*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010296909 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 - -77. Suppose 2*v = -0*k - 4*k - 111600012, -h*v + k - 111599997 = 0. Round v to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/640 and (-6)\/2 + (-22659)\/(-1092)?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18490)\/(-125) + 14\/175. Calculate the greatest common divisor of 32 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 99 = 3*c, -6*k - 199 = -5*c - 3*k. What is the greatest common factor of 57 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 75*i**2 - 204*i**2 + 279*i**2 - 72*i.\nAnswer: -2*i**3 - 72*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.892 - 0.108. Let f = o - -37.6. What is f rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 213648 + 213687 = 4*d, 6*d - 18*z = 702 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 569 + -2852\/5. Which is smaller: m or 1\/29?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 38 = -5*b, 4*b + 2 + 2 = 0. Calculate the remainder when 290\/9 - 4\/18 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6421 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.1, -1, 433, 0.2 in ascending order.\nAnswer: -1, -0.7, 0.1, 0.2, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 130. Let k(i) = -2*i**2 - 5*i + i**2 - 1 + 2. Let w be k(-5). Sort 4, w, u.\nAnswer: w, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1658, 237, 4?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.008 (b) -4 (c) -2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.1. Let x be (12\/(-52))\/((-1)\/((-2)\/3)). Put x, m, 2\/11 in ascending order.\nAnswer: x, m, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*k + 25, -4*k + 3*v + 0*v = 15. Let m(a) = a**3 - a**2 - 11*a + 2. Let r be m(k). Solve g = -3*q - 8, 3*g = -2*g - r*q - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65.932482 - 733.929312. Let j = 668 + v. Round j to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 18 + 6. Suppose -2*p - 40 = -h, -a = -h - 2*p - 3*p. Calculate the highest common factor of h and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxu when three letters picked without replacement from kubbx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1559.4 and -12.6.\nAnswer: 19648.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukkukkuuuuuukkuuuku. Give prob of sequence kuku.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/24 and -101\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*(-2)\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8617?\nAnswer: 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -62, -136, -230, -338, -454, -572, -686?\n\"Answer: t**3 - 19*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*f)*(69*f - 2*f - f) as d + c*f + p*f**2 and give p.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 101?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((252\/98)\/((-45)\/(-42)))\/(66\/(-825))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 2*d - 21. Let y be (-95)\/15 + (-1)\/(-3). Let b be l(y). Suppose 0*j = -j + 2*a + 64, 0 = -b*a + 6. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-2) + -19)\/((-36)\/(-33) + -1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5 + 5 + 7*y + 14 + y**2. Let k be n(-4). Solve 0 = -h + k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**3 - 2*r - 2. Let d be h(-1). Suppose -10 = -5*i + d. Solve -i*x + 15 = -5*o, 3*x = -4*o - 18 + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 77\/(-11) + 8 + (-20)\/5. Let h(m) = -9*m**2 - 16*m + 4. Give h(d).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2 - 1868*g - 603504 = 0?\nAnswer: -254, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 3*i + 4. Let u be n(-4). Suppose -3*t - 5*k + 10 + 3 = u, 2 = -2*t + 2*k. What is the third derivative of -t - 2*d**4 + d**2 + 1 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, 4444, 11928, 22376, 35782, 52140?\nAnswer: 71444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 198*k - 587. Determine t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52955519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.442 - -0.242. Is 5.63 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -76 - 8. Suppose -4*a - a = -31010. Suppose -x*o + a + 2678 = 0. What is o rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 1. Let x be i(-4). Suppose -17 + x = -2*y. Let z(a) = y*a**2 - 2*a**2 - 5*a**2. Let q(g) = g**2. Determine z(q(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 139928.93907 - 139927. Round l to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1562*w - 6*w**4 + 513*w - 1867 + 931 - 5*w**2 + 936 wrt w.\nAnswer: -72*w**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8839.736ms?\nAnswer: 8839736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1720*c - 2492*c + 2138*c)*(0 + 1 + 0 + (3 - 2 + 1)*(-1 - 1 + 1) + 3 - 1 - 3 + 9 - 17 - 43) in the form z + x*c and give x.\nAnswer: -72398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 84. Let g(u) = -u**3 + 5*u**2 + 7*u - 4. Let w be g(6). Suppose -3*h = w*h - 90. What is the highest common divisor of h and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2064 and 258?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4966909.81 to the nearest one thousand.\nAnswer: 4967000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4249760 by -20.\nAnswer: -212488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -64. Let p = 9.5 + x. Which is the fourth biggest value? (a) -2\/17 (b) p (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 64\/12)*15\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/5 - 149*o**2\/5 - 584*o\/5 - 116 = 0. What is o?\nAnswer: -145, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/2666358 and 13\/36693.\nAnswer: 7999074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 15220*u\/7.\nAnswer: -2*u*(u + 7610)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.04309 times -1\nAnswer: 0.04309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(121)*4)\/(sqrt(77)\/(3*sqrt(7))))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/7, 23\/4, -1\/6 in decreasing order.\nAnswer: 23\/4, 2\/7, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 4*o**3 + 16*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (0 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -8*l - 12. Suppose -h = l*h. Solve -4*s + 5 + h = 3*y, -3*s = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 6 = 4*x. Let w be (-15)\/(-6)*6\/x. Suppose w*r + 27 = 87. 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 y be (2\/(-10) + (-3)\/(-15))\/(-2). Suppose 0 = -2*n + 93 + 71. Suppose y*s = -s + n. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 10) in base 11?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 53*t - 714. Let p be a(15). Solve -84*v = -p*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72 + 148 - 61)*(-2 + l**2 - l**2 + 5*l**4) to the form c*l**3 + y*l**2 + r + u*l**4 + x*l and give u.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -54600689441.\nAnswer: 54600689441.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 4, -9, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-393)\/1245 - 8\/(-20). Let b = 270670015\/1494 - 1086977\/6. Let z = b - g. What is the common denominator of -46\/3 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40893, -81800, -122719, -163656, -204617, -245608, -286635, -327704?\nAnswer: -368821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 42) + (17 - 19).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 6, n: 1, k: 3, l: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 309251507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1919 divide 48403566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8747*-37\nAnswer: 323639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.71 and 1057837386.\nAnswer: 1057837385.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/82 and -39\/2?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 - 53 + 21 = 23*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 + 124 + 124*s - 242.\nAnswer: 124*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33512849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**6\/120 - 7*y**5\/60 + y**4\/6 + y**3\/2 + 54*y**2 - 2. Suppose -3*w + 24 = -0*w. What is the tens digit of b(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -631633\/4 or -157907?\nAnswer: -631633\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108590265 * -8.\nAnswer: -868722120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(4*6\/80). Let o be (6\/l)\/(2\/30). Let w be (-1)\/(-2)*(-7 + o). Calculate the greatest common factor of 7 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -539, -1097, -1655, -2213?\nAnswer: -2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*n**2 + 1\/2*n**4 + 0 + 69\/2*n**3 + 0*n.\nAnswer: n**2*(n - 1)*(n + 70)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73255\/12 - -6109. Find the common denominator of k and 4\/(-6) + 854\/372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-16)\/4 - -2). Which is the biggest value? (a) y (b) -7 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2200 + 2168 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.2. Let q = 0.02 + -0.01. Let f = 0.49 + q. What is the third smallest value in -0.3, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051046 is divided by 581.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 46. Calculate the greatest common divisor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + m + 1. What is the least common multiple of q(0) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2640 and 3387178080?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32692 is divided by 73?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8795005 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i - 4. Let l be h(-3). Let t(p) = 3*p + 12. Let u be t(l). Suppose -8*x + 3*x + 5 = u. Which is smaller: -3\/8 or x?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3067*l**2 - 3066*l**2 - 3063*l**2 - 3060*l**2 - 3066*l**2 - 12 + 15320*l**2.\nAnswer: -2*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*v**4 - 214421*v**2 + 2*v - 6927259 wrt v.\nAnswer: -68*v**3 - 428842*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (11 - 6) + -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 4 - sqrt(20))**2 - sqrt(20).\nAnswer: 78*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2326, 2329, 2332?\n\"Answer: 3*d + 2323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325374277?\nAnswer: 12659, 25703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 2\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 25*x + 2. Let h(m) = 13*m + 1. Determine -7*h(j) + 3*s(j).\nAnswer: -16*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/126 and 86\/3003.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:18 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22090033 divided by 4\nAnswer: -22090033\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b**2 + 210*b - 69 = 0. What is b?\nAnswer: 1\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5 + 228*r**4 - 1512*r**3 + 216*r**2 + 13284*r - 20412 = 0.\nAnswer: -63, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131273198.\nAnswer: 2, 3, 11, 59, 179, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**3 - 15*j**2 - 286*j - 10. Let r(n) = 7*n**3 - 19*n**2 - 286*n - 12. Calculate -4*r(y) + 5*t(y).\nAnswer: 2*y**3 + y**2 - 286*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/3 + 18*v - 26\/3.\nAnswer: -2*(v - 13)*(2*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -0.1243279?\nAnswer: 2.8756721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100100\/(-200))\/(275\/(-50))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 5507689481?\nAnswer: 5507689484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 281\/2*(-3 + 19). Suppose 1500 = 2*u - 0*t + 4*t, 0 = 3*u + 5*t - i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 2*i**2 + i**3 + 0 - 1\/10*i**5 + 4*i + 0*i**4. Factor s(c).\nAnswer: -2*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 1\/5, -1045, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -1 + 0\/(528\/24) - -97.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2018, 2017, 2016, 2015, 2014?\n\"Answer: -a + 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.8449*-1.\nAnswer: -34.8449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -7*d**5\/120 + 4*d**3\/3 - 4*d**2. Let b(r) be the first derivative of i(r). Is 14 a factor of b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2\/7)*j)*j*j**(2\/9)\/j*j)**(-36)\/((j**0*j)**(16\/3)\/(((j\/(j*j*j\/((j*j*j\/(j\/(j**(-6)\/j))*j)\/j)*j*j))\/j)\/(j**6\/j))) assuming j is positive.\nAnswer: j**(-1567\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1911\/(-390))\/(-49)*64\/(-48)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 17\/308, -0.1 in descending order.\nAnswer: 17\/308, -0.1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-63)\/(-14) + -6 + (-3)\/2. Let m(k) = 11*k - 6. Calculate m(x).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/12 - b**2\/4 + b\/4 + 6. Factor s(r).\nAnswer: (r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, -208, -686, -1482, -2674, -4340, -6558, -9406?\nAnswer: -12962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 10 - 6. Suppose -v*c + 17*c - 94 = 0. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t**3 - 499064*t**2 + 34084 wrt t?\nAnswer: -9*t**2 - 998128*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*v - 330. Let w = -27 + v. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 19*m + 11*m**2 - m - 8*m.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1*p)\/p**(-2\/11)*p**3\/p*p**3\/p*(((p**(-2\/15)*p)\/p*p)\/p)\/(p*p\/(p*p\/(p\/(p*p**(-2\/3)*p))))*(p*p**(-4)*p)\/p*p**(2\/9) assuming p is positive.\nAnswer: p**(2279\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2619.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 338 and 910?\nAnswer: 11830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.0455 - 0.0455. Let u = -2.2 + 3.2. Which is the closest to -1\/3? (a) h (b) -7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211201201010 (base 3) to base 11.\nAnswer: -286151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:39 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -5.995.\nAnswer: -0.2398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 23 - (-3 + 0)) + 11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 264333276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28034 = 10*p - 5006. Suppose p = 7*q - 2611. What are the prime factors of q?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 69485.92 years?\nAnswer: 69.48592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 21. List the prime factors of 355\/n + (-8)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1669\/8640 - -25\/192. What is the common denominator of t and 103\/360?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:16 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcc when three letters picked without replacement from cmmmmcmcmmcmc.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1392*b**3 - 739*b**3 - 185*b**3.\nAnswer: -2316*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -56?\nAnswer: 65\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -12 + -2 + 2. Let k = -0.9 - -5.9. Let u = k - 5.8. What is the second smallest value in u, v, -2, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 times -26830?\nAnswer: 9122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/18*2\/8\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*l + 180*l - 9 - 6 - 2*l**2 to k*l**2 + c + a*l and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 37 = 53. Let f be (-10)\/w + 5\/18. Find z such that 0 - f*z**2 - 1\/2*z + 1\/2*z**4 + 1\/2*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 459*w + 16959. Give t(-26).\nAnswer: 5025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 61. Let s = -11.7 + q. Round s to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 635745665 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2 + 25*g + 180 = 0. What is g?\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27636.18 milligrams?\nAnswer: 27636180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18611, 37237, 55863, 74489, 93115, 111741?\nAnswer: 130367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617711360 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 165*o**2 + 39*o + 52. Let l be t(-5). Calculate the greatest common factor of 66 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j + 2 - 2 - 57*j + 28*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.128307149?\nAnswer: 0.0384921447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16422, 16771, 17118, 17463?\n\"Answer: -g**2 + 352*g + 16071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145197?\nAnswer: 3, 13, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -40. Let t be (-6)\/(-21) - (-19)\/(-7)*l. Suppose 0 = 4*y + 12, -m - 4*m + t*y + 19 = 0. Solve -2*w + 5 = 3*x + 3*w, 4 = m*x + 3*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2739*r**2 + 593*r - 593*r.\nAnswer: 2739*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 o when three letters picked without replacement from {l: 5, o: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27816 and 608?\nAnswer: 111264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d0520 (base 14) in base 13?\nAnswer: 146a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 526175 and 32380.\nAnswer: 2104700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1708642779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 31861 = 77849. What are the prime factors of x?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v + 47. List the prime factors of z(5).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3783 + 2176 - 7894)*(4*m + 2*m - 5*m) as p + x*m and give x.\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 1, x: 4}. Give prob of sequence bx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.33287mg to kilograms.\nAnswer: 0.00009133287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, m: 17}. What is prob of picking 4 m?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -5\/2, 9.23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -25*t + 14*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3347, 31 in descending order.\nAnswer: 3347, 31, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - 12 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-13) + (-12)\/(-78)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*12\/(-84))\/(-6*5\/14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = 9. Suppose -2*h + z + 23 = 0. Solve -2*o + h = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939518606 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 6*z - 5. Let n be a(5). Does 3 divide n\/(-5) + 36 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m + 3*m + 4*m. Let d(k) = 33*k**2. Determine u(d(o)).\nAnswer: -66*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**2 - 27*a + 10. Let c(g) = 17*g**2 + 57*g - 20. Calculate 6*c(p) + 13*y(p).\nAnswer: -2*p**2 - 9*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502710 divided by 12890.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622*l = 618*l + 208. Let t be 4\/18 + (-2100)\/(-27). Calculate the greatest common divisor of t and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6 = -a. Let m(p) = -p**3 - 4*p**2 - 2*p - 3. Let i be m(a). Let z(h) = -5*h + 4. Is z(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.5 - 32.5. What is the nearest to 1.1 in -1\/4, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 4*r**4 - r**4 - 5*r**2 - r**4 + 5*r**2 + (-2 + 2 - r)*(-1 + 1 + r**3) + 5*r**2 - 2*r**4 + 7*r**2 + 0*r**4.\nAnswer: -3*r**4 + 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3786 - 1699964\nAnswer: -1699964.3786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 1 - k - 3*k)*(-2*k + 0*k - 3*k)*(0 - 3 + 5).\nAnswer: 20*k**2 - 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2399433?\nAnswer: 14396598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 + (77 - 59).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 215*i - 80. Let t(s) = 643*s - 211. Give 8*c(f) - 3*t(f).\nAnswer: -209*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 4*d + 10. Let c(g) = -g + 1. Let q(n) = 4*c(n) - r(n). Let k be q(0). Let b = -3 - k. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1069 - 1634. Let p = -560 - j. Solve 5 + p = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -64.999999937. What is i rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8764.5 - 8177. What is t rounded to the nearest ten?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1859764773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.4816185 + 12.48. What is i rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f + 66. What is l(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 25.9. Which is the closest to 1\/4? (a) 4 (b) u (c) -2 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + -3.4. Let d be ((-27)\/(-594)*33 + 17\/(-6))\/((-24)\/8). Which is the nearest to g? (a) d (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128643444?\nAnswer: 2, 3, 43, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*m + 3, 5*f - 2*m = 2*m - 50. Let y(c) = c**3 + 7*c**2 + 5*c + 5. What is the units digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251740 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.6*-2.07.\nAnswer: -94.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -0.06, -7, 7425, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 29*v - 64. Let c be (3\/(-2))\/((-2)\/4). Let p(f) = 8*f**2 - 59*f + 128. Let n(w) = c*p(w) + 5*b(w). Factor n(i).\nAnswer: 4*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 338296.\nAnswer: 9133992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvre. What is prob of picking 2 r and 2 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846 = 27*z - 711 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93464 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24518694 by 3.\nAnswer: 8172898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/22530 and 131\/30750.\nAnswer: 23093250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149 + -84. Suppose 4*u - w = 3*h, -u = -0*h - 5*h - 12. Let t(y) = y**2 - 18*y + 24. What is the units digit of t(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138707333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8567009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 1. Let i(m) = 48*m**2 + 16. Let n(h) = -2*i(h) - 32*r(h). Let j(q) = q**2. Give j(n(b)).\nAnswer: 1024*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 10:53 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 19432995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 0.2, -0.02, 20, -19.7, -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 4*k**2 - 3*k + 2. Let a(l) = l + 3. Let j be a(-6). Let o be z(j). Let p = -4322\/5 - -864. What is the closest to 1 in o, p, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + 4*m**2 - 7*m + 5. Let i(w) = -w**3 + w**2 - w - 1. Let u(s) = 3*s**3 - 2*s + 5. Let o(v) = -2*i(v) - u(v). Give -3*c(y) - 5*o(y).\nAnswer: -y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 7) in base 13?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239 + -103. Find the common denominator of -19\/100 and (m\/30 + 1)*(-6)\/(-8).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -8.68\nAnswer: 2.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 18*d - 4. Let n(g) = g**2 - 94*g + 1262. Calculate the remainder when p(4) is divided by n(78).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:11 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let a(l) = 2*l**2 + 13*l + 4. Let b(p) = -4*p**2 - 27*p - 9. Let q(j) = -9*a(j) - 4*b(j). Calculate u(q(i)).\nAnswer: -4*i**4 - 36*i**3 - 81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6636.47476 rounded to the nearest 10?\nAnswer: -6640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519533056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/11813000 and -29\/150.\nAnswer: 35439000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2919 and 3344201?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-1)\/((-9)\/(-6))). Let f(a) = -7*a - 9. Calculate the least common multiple of f(w) and 11 - (-2)\/4*-2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276447500 rounded to the nearest 100000?\nAnswer: -276400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - k - 1. Let v be (-8)\/(-10) + 1\/5. Let g(j) = 8*j - j - 21*j - 3*j**2 + 9*j + 2*j - 2. Determine v*g(r) - 4*x(r).\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 8 - 5. Suppose -w*x + 8 = -1. Solve -2 = x*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 113 = -x + 5*x + 3*t + 148, 4*t = -28 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:45 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q + 1. Let d be h(-5). Let a(x) = -x**3 - 5*x**2 - 5*x - 3. Calculate the lowest common multiple of a(d) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/(v\/v**4)*(v*v**5)\/v*v**(1\/2)*v)\/(v**3\/v**(2\/13))**(-3\/11) assuming v is positive.\nAnswer: v**(4083\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1)\/sqrt(10) - (sqrt(7) + (sqrt(112) - sqrt(7))**2*3)) + (-1*((sqrt(28)*-1)\/sqrt(4) + sqrt(7) - sqrt(7)))**2.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.017 in 0.07, 0.22, -0.1, 4, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -25810 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 40, 72?\n\"Answer: 32*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6961 - -3.5961. Let t be (8\/130)\/((-6)\/(-15)). What is the biggest value in t, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -26892.\nAnswer: -2151.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 = 4*r - 17, -a = r - 3. Let i(s) = 11*s**2 + 15*s - 48. Let x be i(-3). Solve -2 + 4 = g + y, y - x = -a*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 20 = -s, -2*s - 9146 = -24*l - 9166 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11222 (base 3) to base 13.\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15169 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8ab + 3b46?\nAnswer: 3257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -360.5 and -5809.\nAnswer: 2094144.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3142 + 411. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 116. Let i(h) = -2*h**2 + 4. Let d be i(0). Suppose a + a = u + 253, -d*u = -a + 137. What is the highest common divisor of a and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in -2, -5, 0.022, -1, 3\/214?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1596 and (-276)\/(-6) - 7*(-12)\/(-21).\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512437621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20.649 - 1977\nAnswer: -1997.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(30)*-4)\/(sqrt(72)\/sqrt(108)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663 + 7*a**2 - 658 + 1321 - 3*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 133*c**2 - 176*c + 3108. Is i(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 - 7.84. Let p = -4276 + 12827\/3. Which is the closest to p? (a) u (b) -4\/9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b7c9 (base 13) to base 8.\nAnswer: -241315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 11 (c) -2 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*d + 410*d - 197*d = -36 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -5, 6, -2 in descending order.\nAnswer: 6, -2, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g. Let k(p) = 13*p**2 - 18. Let y(q) = -12*q**2 + 21. Let s(m) = 7*k(m) + 6*y(m). What is s(v(w))?\nAnswer: 2299*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 50.4806 kilometers?\nAnswer: 50480600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - a13?\nAnswer: -a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 13*q**2 - 20659. Let x(c) = -12*c**2. Calculate m(x(j)).\nAnswer: 1872*j**4 - 20659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19777.11 nanograms in tonnes?\nAnswer: 0.00000000001977711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3535956 + -1.354. What is l rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5015, -10034, -15055, -20078, -25103, -30130?\n\"Answer: -x**2 - 5016*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3080908354 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 5952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 15*o**2 + 23*o - 419. List the prime factors of h(14).\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1190 and 80.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 10 + 34*m - m**3 - 34*m as t*m + g*m**3 + y + p*m**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2025 and 11016?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a + 5 = -2*g, 4*g - 3*a = -7. Let k be (g\/(-6))\/(1\/(-6)). Let m = k - -10. Calculate the greatest common factor of 48 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 68. Calculate the remainder when i is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 7691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2, -77, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 - (-6 + 9)) + 9053.\nAnswer: 3, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 6*o**2 - 4*o + 3. List the prime factors of v(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:27 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, c: 10, n: 1, t: 1}. What is prob of sequence cdcd?\nAnswer: 105\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(-2*1\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -52*n + 12. Let b be i(3). Let c = b + 147. Suppose -4*p - 4*v = -2472, -c*p = -0*v - 4*v - 1826. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-32))\/(((-2)\/(-14))\/((-9000)\/1050))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 78. What is the lowest common multiple of x and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -22*b + 27*b + 6 + 170*b**2 - 167*b**2. Let s = -10 + 17. Let k(t) = 6*t + 4*t**2 + 51 - 23 - 21. Determine s*z(o) - 6*k(o).\nAnswer: -3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d = -51*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r, 3*n - 18 = -4*r. Suppose n*i = i. Let d(z) = 0*z + z**3 - 5 + 4 - z. What is d(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-87)\/9396 - 1\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 354 + -51336?\nAnswer: -50762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49683*h**2 - 51367*h**2 + 101046*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 125 - 18*u + 11*u - 121. Calculate t(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -2746, -10092, -24880, -49708, -87174, -139876?\nAnswer: -210412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7708*q. Let n(u) = -39*u**2 + 38*u. Determine n(d(w)).\nAnswer: -2317117296*w**2 - 292904*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-323)\/(-17)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.005? (a) 0.4 (b) 4 (c) 0.243\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b - 6*b + 4*b - 16*b + 20*b - 3*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110111101 + 100?\nAnswer: -1010110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**3 - 10*j**2 - 2*j**3 + 2*j**3 + 3 - 2*j**4 + 10*j**2 - 2*j**2 to u + a*j**2 + c*j + r*j**4 + y*j**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 838\/3 - 278. Which is the nearest to 3\/11? (a) -0.5 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + 4*c - 5*c)*(c + 0*c + 0*c + (0 + 3 - 1)*(-c - c + 3*c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 10*v - 6. Let f be s(14). Let r = -46 + f. Suppose -p + 72 = 2*k, 3*p - r = 2. Calculate the highest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 2, w: 4}. What is prob of sequence wkw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.3833l in millilitres?\nAnswer: 572383.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34681889*b**2*c + 71*b*c + 4*b - 26*c + 86 wrt b.\nAnswer: -69363778*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4bc + 1b6?\nAnswer: 6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -19. Let x = 25 - b. Let y = -46.000002 + x. What is y rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coy when three letters picked without replacement from {c: 8, o: 4, y: 2}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + b + 47. Let h be f(0). Which is smaller: 46 or h?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 43604510?\nAnswer: 43604510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 7*k**2\/2 - 494. Let j(i) = -15*i - 2. Calculate j(b(o)).\nAnswer: -105*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.5, -4, -1.33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24499 is divided by 175.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 88\/66*(-6)\/(-52). Put -0.4, 4, j in ascending order.\nAnswer: -0.4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.28 - -0.02. Let k = -0.018196 - -0.278326. Let w = k + y. What is w rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124.6 + 125. Sort 11\/4, f, 4, -2\/13 in ascending order.\nAnswer: -2\/13, f, 11\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 11. Suppose 0*n + n - 44 = -5*p, -5 = -g*p. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 73556*r**2 - 95*r - 1606. Let c be p(-14). What is c rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.517 + -1.117. What is the closest to -1 in -2, 1, q, 2\/41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 13 = -2*v - 2*o, -17 = -5*v + 2*o. Suppose -2*c + 20 = v*c. Let f = 27 - -1. Calculate the highest common factor of c and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -228\/7 + 6\/7*f**2 - 58\/7*f = 0?\nAnswer: -3, 38\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, 0.2, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*((sqrt(13) - (sqrt(26)\/sqrt(288))**2) + ((3*sqrt(143))\/sqrt(11))**2).\nAnswer: 6*sqrt(13) + 16931\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79941562 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 28*m**2 - 131*m + 9. Calculate j(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i**2 - 124*i**2 - 60*i**2 - 163*i**2.\nAnswer: -320*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + 1 + sqrt(153))*2 + -1 - -4*(sqrt(17) + sqrt(68)*1)*4)*5)**2.\nAnswer: 3000*sqrt(17) + 1530025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 25 + -45 + 28 - (-72 + 1 + 3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.237 - -0.043. Let i = o - 0.18. Let k = -1.95 + -0.05. Sort 4\/3, 0, i, k in increasing order.\nAnswer: k, 0, i, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1809 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - ((-8 - 1) + 10)) + (3 - 6 - 0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 252*a**3 - 2724*a**2 - 8928*a - 9024.\nAnswer: 3*(a - 94)*(a + 2)*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p + 5*p**4 - 3*p**4 - 2*p**2 + p**4 - 5*p - 6*p**3 to the form d*p + s*p**3 + x + h*p**4 + r*p**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*r - 23 = 3*r, 2*y - 25 = -3*r. Suppose -y*n - n = -36. Suppose f - 33 = -c, 4*c + 167 = n*f + c. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11130 and 645010.\nAnswer: 13545210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*y = 43, -5*j - 3 + 36 = 3*y. Let m(l) = l**3 + 5*l**2 + 2. Let r be m(-5). Solve r*k = -1 - j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899395?\nAnswer: 5, 7, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 24416\/(-2219) + 5. Do 1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(297) - (-5*(sqrt(297) + 2*sqrt(297) + sqrt(297)) - sqrt(297)))\/(sqrt(12)\/sqrt(4)*-6 - 3*2*sqrt(3)).\nAnswer: -33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + (-84)\/(-16). Let o be (3 + -2 + -2)*1. What is the third biggest value in o, i, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1. Let z(d) be the first derivative of -4*d**2 - 10*d - 1145. Give 10*q(f) - z(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l - 9. What is the units digit of b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94382.716 + 94898.715654. Let y = f - 516. What is y rounded to 5 dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -33. Let i be u - (-5)\/(10\/(-6)). What is the highest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2. Suppose 3*o = 6*o - 6. Let v(m) = 3*m**o + 1 - 1. Calculate w(v(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*n + 2142 = -204*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23673924 and 44156?\nAnswer: 165717468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxx when three letters picked without replacement from xxv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*t - 1296 = 527*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c. Let t = 623 - 623. Suppose -4*l = -t - 12. Solve l*y = -c*y + 5*p - 31, 4*p - 18 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-182868)\/30)\/(-7) - (-3)\/15. Suppose b - 692 = k. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7564422 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/(-12)*(-1)\/(-5). Let z = f + 1. What is the nearest to 2 in z, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1160\/1044)\/(155\/3906).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*y - 130 + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + 174\/24. Let p = a - 4. Let l be (1\/2)\/(p\/114). What is the highest common divisor of 209 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*z - 313 + 2929 = 1353*z - 360*z. Suppose -8*r + 82\/3*r**z + 0 - 53\/3*r**3 - 5\/3*r**4 = 0. What is r?\nAnswer: -12, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74368362007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 303 or 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:13 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1440 and -169\/21600.\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 37. Calculate l(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 90\/4185*31 - 1\/6. Which is the nearest to p? (a) -2\/3 (b) -7 (c) 11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/9 + 2594*k\/3 + 7780\/9 = 0. Calculate k.\nAnswer: -3890, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -40. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:21 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 1969.\nAnswer: -68915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 9. Let g be (6\/(2 + -1))\/2. Let v be g\/(-9)*-3*7. What are the prime factors of r(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vetxbmeb. What is prob of sequence bme?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2716690+-21213.2\nAnswer: -2737903.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -175, -354, -533?\n\"Answer: -179*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 398634 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -17. What is the smallest common multiple of w and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231045387 to the nearest integer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let v be y - 3\/(6\/(-14)). Solve v = -5*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*y + 8995 = 0, t + y = 3928 + 5069. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288502.\nAnswer: 2, 67, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 17 - 86 = 0. Suppose j + 2*v - 258 = 0, -2*j + 358 = u*v - 157. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2. Let z(i) be the third derivative of -i**4\/24 + 28*i**3\/3 - 194*i**2 - 3*i. What is y(z(d))?\nAnswer: -4*d**2 + 448*d - 12544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -51?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 - -339. Suppose -77 = -4*p - 77. Suppose p = -9*n + g + 613. What is the remainder when n is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-5)\/5*2\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/519655 and -28\/219606203?\nAnswer: 1098031015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121856, 243745, 365634, 487523?\nAnswer: 609412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + 1454\/13. Which is the closest to -2? (a) v (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3946.253ml?\nAnswer: 3.946253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15702107 to the nearest integer?\nAnswer: 3963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 83*y - 1. Suppose 5*q - 22 - 13 = 0. Let h be u(q). What is the remainder when h\/16 + (-2)\/8 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 118*v - 1. Let j(b) = -b**2 + 6*b. Let s(k) = k**2 - 8*k. Let y(t) = -8*j(t) - 6*s(t). Calculate o(y(p)).\nAnswer: 236*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*c + 10411, -19682 - 21977 = -4*d + 3*c. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -74191473\nAnswer: 5\/74191473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1147 by -2016.\nAnswer: 1147\/2016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6633.74 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 365\/730 - 2\/((-16)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 25*f**2 - 190*f + 1638. Determine q(19).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knoooonooookoo. What is prob of sequence koo?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 24. Let y = 63 + -134. Let t = 67 + y. Which is greater: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x - 5. Let w(u) = u**2 - 12*u + 52. Let o be w(12). Let k(j) = -59*j + 219*j - 51*j - 2 - 54*j - o*j. What is -4*f(c) + 9*k(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 - 1959720*j - 2240293112400.\nAnswer: -3*(j + 2286340)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9836979550 rounded to the nearest one million?\nAnswer: -9837000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 4 - (0 + -3). Let v(y) be the third derivative of -y**4\/8 + 7*y**3\/6 - 16*y**2 + y. Calculate v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1632*r**5 - 4132*r wrt r?\nAnswer: -32640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(((z*z**1\/z)\/z)\/z)\/z*z)\/((z**(-8)*z*z)\/z))\/(z**(-1\/3)\/(z**(-7)*z))*((z*z**(-1\/6))\/z**(-7))\/((z*z**9\/z)\/z**(5\/2)) assuming z is positive.\nAnswer: z**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - a**4 + 2*a**3)*(-7381 + 7383 - 52*a + 239*a).\nAnswer: -187*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 g, and 1 u when four letters picked without replacement from {y: 1, i: 3, g: 2, r: 1, u: 5, m: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 12*u**2 + 14*u + 17. Let x be k(-13). Suppose -3 = 3*p + x*q - 47, 3*q = -3*p + 48. Let m = -25 + p. Let w(h) = -h - 4. Give w(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395842726 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + s + 61 = 0, 0 = 11*f - 34*s + 38*s + 164 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 0*l = -2*l + 12, 5*l = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9525 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyyg when four letters picked without replacement from kgggykky.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675090 by -39.\nAnswer: -17310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2801701 + -47642008\/17. Let q = b - -1545\/2. What is the common denominator of q and 402\/(-45)*15\/20?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(128\/8)\/(-112)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t - 44. Let w(l) = -2*l + 9. Give 2*c(m) + 11*w(m).\nAnswer: -4*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(sqrt(133)*3 - sqrt(133)))\/(-3*sqrt(252) + sqrt(252) - sqrt(7)).\nAnswer: -60*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*-1*(2 - 3). Let j(u) = u - 2. Let k = 8 - 4. Let l be j(k). Put 4, l, f in increasing order.\nAnswer: l, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 135\nAnswer: 4\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 338 in -0.2, 2\/25, -3, -336, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 820.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3141 in 3, -0.3, -1\/3098, -4, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 13*u - 8*u - 12040, 3*x = 0. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/12 + 2*a**3\/3 + 7*a**2\/2 - a + 2. Let o(t) be the first derivative of r(t). Determine o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:09 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + (sqrt(684)*-1)\/sqrt(12) + (sqrt(57) - ((sqrt(57) - sqrt(57)*-1) + sqrt(57))*-6))\/((sqrt(3024) + -2*sqrt(3024))\/sqrt(7)).\nAnswer: -19*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 3*f**2 - 4*f - 6 - 5*f**2 + 5*f**2 + 6*f**2. Let u(h) = -h**2 - 7*h. Let g = -2 + -4. Let z be u(g). Determine l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3101*c = 3109*c - 128. Solve -15 = 13*k - c*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 500 = 4*c. Let b = -235 + c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -2)\/(-10 + (-145)\/(-15)). Solve 0*l**2 - 1\/9*l**4 + 1\/9 - 2\/9*l + 2\/9*l**a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4646972534 to the nearest integer?\nAnswer: 68169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 40*a - 114. Give j(0).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*v - 21970, -2*i - 5106 + 27074 = 5*v. List the prime factors of i.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 76. Solve 0 = -v*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(14) + sqrt(14)))\/(sqrt(1225)\/sqrt(7)) - ((sqrt(1440)*-1)\/(sqrt(125)*-2))**2.\nAnswer: -72\/25 - 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149 - 86 - 2*t + 19 + 48 + 538 to the form l*t + v and give v.\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:07 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 + 14*s**2 + 11*s + 4. Let v(a) = 7*a**3 - 29*a**2 - 28*a - 10. Determine -7*c(n) - 3*v(n).\nAnswer: 14*n**3 - 11*n**2 + 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -17876*f - 10461. Is i(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46.93 + 47. What is the third biggest value in 1\/4, l, -5, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -74. What is the least common multiple of n and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 2, b: 5}. What is prob of picking 4 b?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 u when four letters picked without replacement from iiicciciurrir.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/4 (c) 0.05 (d) 10 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -835 - -989. Let g(k) = -2*k - 301*k**2 + l*k**2 + 149*k**2. Give g(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 753 - 447. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 53*t - 20. Is f(8) a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2283918l?\nAnswer: 228.3918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhvq when four letters picked without replacement from mvqhqhmvqqqvv?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-64))\/(6\/152). Let k = h - -7\/2. Find the common denominator of -74\/3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -616*p**2 + 1260*p**2 + 95*p**2 + 2848*p**2 + (p + 4*p - 6*p)*(-3*p + 2*p - p).\nAnswer: 3589*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/4)\/(r**(-1\/12)\/r)*r**(5\/7)\/(r\/(((r\/r**1)\/r*r)\/r*r)) assuming r is positive.\nAnswer: r**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39453347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (7 - 2)) + -3 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/(-7) - (-2)\/(-7). Let x(y) = 3*y**2 - 2*y - 1. Let d = 7933 - 7916. What is the remainder when x(p) is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14062 < 11304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2. Let a(y) = -31721*y. Give d(a(l)).\nAnswer: 2012443682*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692061.\nAnswer: 7, 17, 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(72)\/sqrt(6)) - sqrt(70)\/(4*sqrt(10)).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204629464 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-31840)\/(-56) - 5 - 4\/7. Let h = -3379\/6 + x. What is the biggest value in h, 20, 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351836636?\nAnswer: 2, 79, 7442521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.474034 + -132406?\nAnswer: -132166.525966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 6:47 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -97, -12, 2\/25, -4\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 0*a - 62*a**2 + 0 + 5\/3*a**3 + 3\/10*a**5 - 1\/8*a**4. Differentiate z(l) wrt l.\nAnswer: 36*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44289?\nAnswer: 3, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + 1185\/45)*(-1)\/(340\/72).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 = -0*k, -3*k + 5 = p. Let m(b) = -2*b**2 - 3 - 7*b + p*b + 4*b - 5*b**3 - 2*b. Let w(c) = -6*c**3 - 3*c**2 - 4*c - 4. Give 4*m(g) - 3*w(g).\nAnswer: -2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 269113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 834631*u + 834629*u - 49, 7*u + 159 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -399, -455, -555, -711, -935, -1239, -1635?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 + 1\/3*b**3 + 10*b + 0*b**2. Let r(c) = 2*c - 5 + 5. What is g(r(l))?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 39?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = 4*p, -4*f - 10 + 5 = -p. Let l(b) = -3*b + 4. Let o(v) = 2*v - 4. Give p*o(z) + 4*l(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34d0 (base 16) to base 5.\nAnswer: 413040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18 - 7 - 18*w**3 - 4*w**3 - 3 wrt w?\nAnswer: -66*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**9)**(-38)*(r*r*r**(-2\/11))\/(r*r**(-2\/9)*r) assuming r is positive.\nAnswer: r**(-37616\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**2 + 2161739*q - 3392830.\nAnswer: 4*q + 2161739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 134 = 2*b, 2*x - 2*b = 40 + 86. Let s = -33 + x. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 11.\nAnswer: -43\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-5)\/(11 + 4)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324739, 324833, 324929, 325027, 325127, 325229?\nAnswer: 325333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760315 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11987 - -11931.395. Let r = m + 55. Round r to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118.92 + 119. Let x = k - -0.12. Sort x, -1, 1, 0.3.\nAnswer: -1, x, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131303311102 (base 4) to base 3\nAnswer: 112201000110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 673*i - 263*i - 359*i**4 + 1000*i wrt i?\nAnswer: -4308*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-129)\/344)\/((0 - -2)*3\/2). What is the third smallest value in -2\/7, -0.3, -0.2, -2, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - 4*x**2 - 7*x + 8*x - x**2 in the form u*x**3 + r*x**2 + k*x**4 + v*x + p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 7:25 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 3*b**2 + 3. Let h be d(-3). Suppose 0 = -h*j + j + 10. Let k be 1\/4 - (5 - 1)\/16. Solve -2*n = 3*n + 2*r + 7, -j*n + 2*r - 23 = k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.5 - -8.5. Let w = -1 - -0.4. Suppose 42*f = 38*f - 4. Which is the third smallest value? (a) w (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-60)\/40)\/(-1 + 15\/24). Solve -2*v + 8 = 0, j - 2*j - s*v = -16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -0.06, -0.08, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, g: 6, r: 4}. What is prob of sequence jjgg?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2471171*i - 14827031. Determine a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -459 + 742. Let i = n + -143. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -80*l. Let u be i(1). Suppose 7*j - 38 = -297. Let k = j - u. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose -3*d + 3*p - 24 = 0, -5*p = k*d + 1 - 9. Suppose 68*g = 199 + 141. Put 3, d, g, -5 in descending order.\nAnswer: g, 3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 4. Let l = o + 1. Let h = 303\/2 + -153. Put h, l, 1 in increasing order.\nAnswer: l, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**7\/2520 + x**6\/720 + x**5\/720 + x**3 + 4*x**2. Let i(m) be the first derivative of b(m). Factor i(k).\nAnswer: k*(k + 1)*(2*k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 33?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3294, 0.2, 2\/3, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5451, 10904, 16357, 21810, 27263, 32716?\nAnswer: 38169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) + -1)**2 + sqrt(180) + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 106834 - 60839 = 5*s, -5*h = -s - 838317. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from pnospppppsts.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15687603, 15687582, 15687561, 15687540, 15687519?\nAnswer: 15687498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3) + (-8 - (-29 - -9))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 88.15, 3, 1\/6, 1\/3, 1\/4 in descending order.\nAnswer: 88.15, 3, 1\/3, 1\/4, 1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21679, 86171, 193477, 343597, 536531, 772279?\nAnswer: 1050841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 3*h**2 - 4*h - 1. Let y be x(4). Suppose 0 = -4*u + 625 - 205. Let w be ((-15)\/u)\/((-2)\/7). Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*b + 14. Suppose b*i = 4*i + 10. Suppose 2*v = 4*q - 20, 4*q - 20 = -0*v + 4*v. Sort -4, q, i in descending order.\nAnswer: q, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + -3 + 12 + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21134 - 10375 = 371*h for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27310678 and 60774.\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -10. Let i be (-1 - r\/6)*(-24 + 12). Suppose i*c + g = 6*g + 208, -5*g = -3*c + 161. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176683227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 3. Suppose 0 = -2*q + 2 + 4. Suppose -4 + q = y. Let k be x(y). Solve -5*o - 12 = -k*p + 4, 0 = 3*p + 3*o + 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.16, -0.0771?\nAnswer: -0.0771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 15. Suppose -4*b - 24 = -2*j, -4*b = -j - 3*b + d. Solve -3*i**2 + j*i**3 - 4*i**2 - 9*i**2 + 12*i = 0 for i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(13)*-2*4)**2*-4 - 4*((sqrt(13) - (sqrt(13) + 0)) + -5)).\nAnswer: -3309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15 (b) 2 (c) 1 (d) 0 (e) 29.411\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 8*b**2 - b + 7. Let f be q(8). What is the least common multiple of 5 and (f\/(-1))\/(-1)*-2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 704, -227, -1524, -3187, -5216, -7611?\nAnswer: -10372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i\/(i*(i\/(i\/((i\/(i*i**(-1\/4)))\/i)))\/i))\/i)\/i)\/i**(2\/31) assuming i is positive.\nAnswer: i**(85\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (0 - 2) - -6. Let p be (63\/(-12))\/((-3)\/32). What is the greatest common factor of g and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 110*u + 7. What is the remainder when n(3) is divided by 234?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 26.9921. Round p to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 b, and 1 i when three letters picked without replacement from {c: 1, i: 1, b: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 520935479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 113029*l**2. Let y(k) = 126*k**2. What is y(v(f))?\nAnswer: 1609719909966*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p + 77. Let u(m) = 16*m - 153. Give 7*s(g) + 4*u(g).\nAnswer: g - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbddbbbbbbdbbb. Give prob of picking 3 d.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 5. Let g be y(5). Suppose g = -3*d - 15 + 57. Let x = 110 - 75. Calculate the greatest common factor of d and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - 1)*3\/(-6). Let r = s - 4. Which is greater: 3\/7 or r?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 38\/7 (b) -5 (c) -2 (d) 55 (e) 2 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 971 + 41 = 4*y. Let g = -94 + y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 22. Let j be l(9). Suppose -f = -2*i - 1649, j*f - 2*f - 3322 = -4*i. Suppose f = c - 0*w + 2*w, -4*w - 3310 = -2*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - t = -17*t - 35. Let q(c) = -c - 1. Let y(i) = 2*i + 9. What is t*q(r) - y(r)?\nAnswer: 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 89 = 4*a, 91 - 8 = 4*a - 5*k. Let i = a + -17. Suppose 23 - 8 = i*d. What is the closest to 0 in 0.1, d, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11003123113 (base 4) to base 8.\nAnswer: 5033327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/4)\/(-2))\/((-2)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3020504592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23\/2, 0.4, 0.3?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189689394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 307170 and 210?\nAnswer: 2150190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*(12\/2)\/18*-15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 176202*-0.113\nAnswer: -19910.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0 - (-2 + (12 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.545285 millennia to years.\nAnswer: 545.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -62.36, -2, 4, 28, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 559.533 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-5 - 9) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98\/3 - -32. Which is the biggest value? (a) 2 (b) 1\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 0. Let q be -2 - p*(-1 + 2). What is the second derivative of i + i**q - i + 2*i - 5*i wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1786565, 1786522, 1786449, 1786346?\nAnswer: 1786213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/(n**(-5\/3)*n))*n**5*n*n**13*n**(-7) assuming n is positive.\nAnswer: n**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1007, 2152, 3431, 4850, 6415?\nAnswer: 8132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3334, 1\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 5 - -6 - (10 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 169, 32, 149.3, 0.5, 0.04 in increasing order.\nAnswer: 0.04, 0.5, 32, 149.3, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 374*u**2 + 17670*u - 17298 = 0. What is u?\nAnswer: 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-8)\/c)))\/c**(-9)*(c*c**(-1\/4)\/c)**(-2\/13)*(c\/(c*c**(-2\/5)*c*c))**(-15)\/(c\/(c\/(c\/c**(-4)))*c*c**0) assuming c is positive.\nAnswer: c**(469\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*c + 17, 2*k - 26 + 0 = 4*c. Solve -3*q + v = -15, 0*q = -3*q + 2*v + k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 21*d - 42. Let t(b) = -b**3 - b**2 + 96*b - 36. Let h be t(9). Calculate r(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414400 and 1344.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10*g**2 + 115*g + 5554. What is k(30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 - 1622\/8. Let x = s + 321. List the prime factors of x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 606173000 to the nearest 1000000.\nAnswer: 606000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 2532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64598.47m to nanometers.\nAnswer: 64598470000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 132939 (b) 635 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 241, -0.3, 5, -3\/5 in ascending order.\nAnswer: -5, -1, -3\/5, -0.3, 5, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**7\/2940 - n**3 + 2. Let q(d) be the third derivative of v(d). Let q(j) = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/41782 and 55\/182.\nAnswer: 292474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86.807 + -0.193. Let i = z + 87.00264. What is i rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:36 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 16, h: 4}. What is prob of picking 2 h?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**3 - 5199600*l**2 = 0.\nAnswer: -2599800, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 5*j + 0*j**2 - 7\/3*j**3 + 32. Let o(i) = -5*i**2. Calculate h(o(w)).\nAnswer: 70*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/3 (b) 162\/7 (c) 4\/73 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(13) + (sqrt(13) - sqrt(13)*-2))**2.\nAnswer: 24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 y, and 1 u when three letters picked without replacement from syysysuyssyusss?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -503*b**2 - 130*b**2 + 269*b**2 - 431*b**2 to the form o*b + a*b**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*n**2 + 346*n**2 - 147*n**2 + 162*n**2 + 294*n**2.\nAnswer: 556*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*z + 0*z - 9*z + 0*z - 3*z + 0*z - 5 + 5 + 2*z + (5 - 1 - 2)*(0*z + 5*z - 4*z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q**(1\/6)\/q*q)*q))\/q**(-3\/2))**29*(q**1*q\/q**(-2\/9))\/(q**(-2\/5)*(q*q*q**(1\/2)\/q)\/q) assuming q is positive.\nAnswer: q**(-679\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 159173.438 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 22*c**3 - 14*c**2 - 12*c.\nAnswer: 2*c*(c - 1)*(c + 6)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-20 + 40 - (8 - -73)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7550580 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -139, -234, -367, -538, -747, -994?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-126) + 150\/(-54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + (-9 - (-8 + (4 - 17)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 39 = 74 - 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182 - 142 + 49)*(-4*b - 8*b + 4*b).\nAnswer: 2200*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91.5 - 503219844.88.\nAnswer: -503219753.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03644 - -0.12096. What is k rounded to 3 dps?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/14 + (-365125)\/(-889) is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6215521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -970782.6 * 0.114\nAnswer: -110669.2164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) - (5 + 25068064\/(-12)). What is j rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i - 3*i + 2*i + (4 - 4 + 2*i)*(2 - 5 + 0) - i - 2*i + 2*i in the form r*i + u and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1571 - 1568. Solve 2*y - 1 = -2*l + y, -z*l = -4*y + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from jeedeseeeedeeddejdbe?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r - 4*r**3 + (4*r**2 + 4*r**2 - 5*r**2)*(0*r + 3*r - 4*r) + 2*r**3 + 1 - 1.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 6. Let i(o) = 2*o**2 + 3*o + 3. Let b(n) = -5*n**2 - 10*n - 10. Let q(f) = r*i(f) - 3*b(f). Let s(y) = -y**2. Give s(q(v)).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8436 equal to -44.009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-14) + 246\/(-14))\/(66\/(-63030)). Calculate the highest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 768 - 863. Let s be (-7)\/((-315)\/t) - -2. Which is the fourth smallest value? (a) 0.1 (b) -15 (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 815293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 3*o - 72, 12*o - 97048 = -5*f - 96956 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.046 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*-2)\/(sqrt(6) + (sqrt(6) - -2*sqrt(6)*4)) + 3 + (-3*(sqrt(1088) - (-1 + sqrt(1088) + -1))*6)**2.\nAnswer: -2*sqrt(17)\/5 + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/7 (c) 106\/3 (d) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2\/6 + 155*k\/6 - 145\/3 = 0 for k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/1 + (-2)\/2. Let z be u\/(-3) + 10 + -1. Suppose -2*g = 3*g - z. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/78*666)\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 + 0*n**2 - 3*n**2. Let v(a) be the second derivative of 13*a**4\/12 - 7*a - 2. Calculate s(v(u)).\nAnswer: 338*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + 76. Sort 2, u, -3.\nAnswer: u, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/1482*(-8)\/(8\/(-9))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 - d**3 - 41*d + 23*d - 3 + 22*d. Give t(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 22. Let w be o(7). Let y = -18 + 19. Is w greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -6. Let v = y + -2. Which is the closest to -1? (a) 0.6 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10587 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 22*s = -9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15\/1802 - -3469\/16218. Put -4, 1\/6, t, -0.1, 21 in decreasing order.\nAnswer: 21, t, 1\/6, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(91) + (sqrt(91) - (sqrt(91)*2 - sqrt(91))*6 - sqrt(91)))\/(-3*((-3*sqrt(42))\/sqrt(6) - sqrt(7))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1916*v**2 + 37*v - 196. Let y(z) = -383*z**2 - 7*z + 36. Give 2*b(m) + 11*y(m).\nAnswer: -381*m**2 - 3*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -2, -3, 4, 431?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 207*g**2 - 17*g + 8853. Calculate a(-103).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4.6311859?\nAnswer: -4.6311859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 24 = 66. Let f(y) be the third derivative of 0*y + y**2 + 0 + 0*y**4 + 1\/6*y**3 - 1\/20*y**w. What is the first derivative of f(r) wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/308 - 177\/308. Let l = 61 + -550\/9. Let j be ((-5670)\/147 - -27) + 6*2. What is the closest to -0.7 in m, j, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 + -63. Let p = q - 54. Which is the second biggest value? (a) p (b) 0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 7*q + 6. Let r be u(-6). Suppose -s + 5*w + 201 = r, 3*s + 2*w - 637 = -0*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3 - 15. Does 11 divide 273\/11 + l\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.88 - 14. Let p = 1.72 + y. Let f = p + -1.758. What is f rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000014318355 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 897\/253 - 24\/44.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -93, -117, -141?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.085 + -54.915. Let f = g + 52.6. Is -1 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 2 - (12 - 22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 51800 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -164542 and 1008789086.\nAnswer: 1008624544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -6 - -8) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -58, -1, 0.1, -9\/5, 0.35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 128, 1\/4, -0.227?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1693497 to 3 dps.\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3632 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 14*i**2 + 7*i + 21. Let h be g(-14). Let s = -74 - h. Differentiate 21 + s*y**2 - 4*y**2 - 6 with respect to y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 + q**2 - 215*q + 427. What is g(2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*(sqrt(847) + -1*sqrt(847) + -1) + (sqrt(847) - (sqrt(847) - (sqrt(847)*-2 + sqrt(847))))*-5 + sqrt(847) + 4*1*sqrt(847)))**2.\nAnswer: 7920*sqrt(7) + 762444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -11. Let y be b\/(-3)*27\/(-2). Suppose -64 = -2*i + y. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485.026m to kilometers.\nAnswer: 0.485026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 115?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(2\/25)*f)\/(f\/(f*f\/(f**(2\/13)*f))))\/(((f\/(f**(-10\/9)\/f)*f)\/f)\/f)**2)**37 assuming f is positive.\nAnswer: f**(-157583\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/19))**40 assuming f is positive.\nAnswer: f**(-40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2774435*d**2 + 3617338*d**2 + 3343057*d**2.\nAnswer: 9734830*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 12502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272 - 280 + 552 + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 4*r - 4. Let f be a(-2). Let m(p) be the second derivative of f*p**4 - p**2 + 2*p + 1\/20*p**5 + 0 + 0*p**3. Differentiate m(s) wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*-1*-4 + 1*(sqrt(14)\/sqrt(2) + 0).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55963, 54998, 52375, 47266, 38843, 26278?\nAnswer: 8743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4745 is divided by 4735?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u = 3008 + 1580. Solve -103*d + u = -597 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5104 + 5164.59. Let t = 82 - 20. Let r = g - t. What is r rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c38 (base 14) in base 3?\nAnswer: -10022212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5796)\/(-96) - 6\/16. Calculate the highest common divisor of d and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*w + 17 = 0, -8*i - 2*w = -12*i + 14. Let q(c) be the second derivative of 0 - 20*c + 1\/6*c**3 + 1\/12*c**4 - 17\/2*c**i. Determine q(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one quarters of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 607720127 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 2, -1, 1, 11 in descending order.\nAnswer: 11, 2, 1, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (1 - -16) + 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 71*v + 1. Let w(m) = 3*m**2 + 147 + 61*m**2 - 286 + 139. Determine w(s(z)).\nAnswer: 322624*z**2 + 9088*z + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1297679\/30 + 43252. Suppose 0 = 10*p - 12*p + 30. Calculate the common denominator of 1*((-101)\/p + 4) and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2487 - 1600. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(20)\/sqrt(4) - sqrt(40)\/(-1*sqrt(8)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -5, 9\/80, -4 in ascending order.\nAnswer: -5, -4, -1, 9\/80, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3*k**2)*(8*k + 2*k - 54*k) in the form v + w*k + z*k**3 + x*k**2 and give z.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + x + x)*(-x + 3*x - 3*x) + (281*x - 4404 + 4404)*(-5*x + 2*x + x) to t*x**2 + v*x + s and give t.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2. Let z(m) = 11*m. Let p be (-54)\/(-10) + 8\/(-20). Let g(n) = -7*n. Let i be 38\/5 + (-4)\/(-10). Let h(w) = i*g(w) + p*z(w). Determine b(h(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119642 and 1468.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 2*n**2 - 2*n - 5. Suppose -13*d + 52 = -0*d. What is q(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 144 = -59*l. Sort 3, l, 5, 28 in ascending order.\nAnswer: l, 3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21221 - 302301?\nAnswer: -330122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - 2\/((-2)\/1). Let x = v - 6. Let y(c) = c**2 - 4*c + 5. Calculate the remainder when 9 is divided by y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 13, j: 1, z: 1, b: 1, h: 2}. Give prob of sequence mz.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 + 149*j**2 + 82*j + 612. Let p be a(-74). Solve -15*b - 55 = p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210663 and 4361?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {i: 6, w: 1, n: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 times 2\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7264926*h**3*u**3 + 2*h**3*u + 2*h**2*u**2 + 4*h**2*u - h*u**3 - 30885 wrt h?\nAnswer: 43589556*u**3 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 392 = 2*p - 6*p, -2*b + 5*p = -392. Let o = -187 + b. Suppose -26 = h - 125. Calculate the greatest common divisor of o and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 10:46 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.5. Let o = m + 0. Let i = o - -1.8. Is 1\/10 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/320*(-8)\/(120\/(-25))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 25737424.\nAnswer: 128687120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, z: 2, s: 2}. Give prob of sequence zess.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 421 + 34*t**3 - 7*t**3 - 214 - t**2 - 208 to y + p*t + q*t**2 + v*t**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4152 greater than -4152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205)*1 - sqrt(45))\/(sqrt(72)\/(2*sqrt(8))) + ((0 + sqrt(20) + 1)*-5)**2.\nAnswer: 112*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*q - 3*q + 4*w, -4*q + w = -9. Let d be 1\/(-1)*-2 + -2. Solve d*f - q = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 67 - 5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 416*d**3 + 25392*d**2 - 391040*d + 1767200.\nAnswer: 2*(d - 94)**2*(d - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*c - 18, 2*c + 2*c = -j + 18. Suppose 211377 + 140623 = c*d. What is d rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232 = -7*h - 1316. Let d be h + -4 + 4 - 4. Calculate the least common multiple of d\/(-26) + (-6)\/39 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 12*w**2 + 26*w - 106. List the prime factors of l(-17).\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.01543 hours to microseconds.\nAnswer: 21655548000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.5 (c) -2 (d) 2\/19 (e) -1.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*u**6 - 13*u**2 + 14*u**2 - 42 + 0*u**6 wrt u?\nAnswer: -960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.06 - 0.06. Let a = -2.042 + 0.042. Sort -0.5, a, w in descending order.\nAnswer: w, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 11*t - 4*p + 168 = 0, -4*t + 2*p = -144. Let c = 39 - t. What is the third biggest value in 0, 2, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 11:05 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 15) in base 13?\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * 62398.\nAnswer: 3244696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 366\/2069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 0*n + n**3)*(n - 841662 + 843719 - 3*n) as i*n + a + g*n**2 + j*n**3 + u*n**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1246184, 2492370, 3738532, 4984658, 6230736, 7476754, 8722700, 9968562?\nAnswer: 11214328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 7826?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -3\/7, 6\/7, 20?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*g - 28*g + 16 - 24*g to the form s + k*g and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (2511\/(-513) + (-10)\/95). Solve 2*p + 2*i = -10, 6*p + i + z = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632464 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 0.5 (c) 17 (d) 101 (e) 2 (f) -5.4 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25511 - 163?\nAnswer: -25674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 62*f**3 - 49*f**3 + f**2 + 2 - 2 - 12*f**3 in the form c*f + v*f**3 + t + p*f**2 and give v.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/(-161) + 4\/14. Let q(x) = x**3 + 2*x**3 + 2*x**3 + 5 + 8*x - 6*x**3 + 7*x**2. Let d be q(8). Which is the nearest to 0? (a) h (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/263? (a) -0.3 (b) 5 (c) -0.5 (d) 0.4 (e) -0.18 (f) 0.052\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4767075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 - 2*i**2 + 4*i**2 + (i + 4*i - 2*i)*(0 + 0 + i) + (-2*i + 4*i - i)*(6*i + 0*i - 2*i) - 4 + 4 + 11*i**2.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -51. Differentiate -y - 46*s**2 - 14 - 2*s + 7 wrt s.\nAnswer: -92*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113832 divided by -744.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 5, 0.01, -0.116?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -21. Let r(f) be the first derivative of g + 0*f - 1\/2*f**2. Let n(q) = -q. Calculate r(n(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -0.01. Let s = 0 - q. Which is the nearest to -2? (a) 0.5 (b) s (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50778 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28812, -57616, -86420?\nAnswer: -115224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 take away 814190?\nAnswer: -813208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o + 2. Let h(p) = -10*p + 68. Let d be h(6). Let n(c) = -28*c + 221. Let u be n(d). Give x(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 10. Let s(t) = -6 - 3 + 0 - 2*t. Calculate the remainder when s(-7) is divided by b(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 160, 4*g = 2*h - 398 + 326 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9606*j**2 + 2*j. Let x(z) = 3*z. Calculate x(f(i)).\nAnswer: -28818*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23345 + 1?\nAnswer: -23344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 5*q**4 - 10)*(-3*q - 6*q + 3*q) + (1 - 1 + q**2)*(2*q**3 - 1 + 1).\nAnswer: 32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145 + -1240?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6912 + 12121. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 71.74906cm?\nAnswer: 0.7174906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 193.445 * 663\nAnswer: 128254.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(700) + -3)*-3)**2 + -5 - (6*(-2*sqrt(567) + 4 + sqrt(567) + sqrt(567))**2 + -5).\nAnswer: -540*sqrt(7) + 6285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483968823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*g = 2*k - 18, 0 = -2*k - 2*g + 44. What is the lowest common multiple of 12 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/9*(3 + 0). Let b be f\/(-8) - (-6)\/(-8). Let n = 2 + b. Let v(r) = -r - 1. Determine v(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -57\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, s: 2, v: 2, u: 2, c: 1, r: 1}. Give prob of sequence rc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -24, 13, 2\/69, -3, 0.11?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2186637, -4373289, -6559943, -8746599, -10933257, -13119917, -15306579?\n\"Answer: -w**2 - 2186649*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 17*h**2 - 16*h + 13. Let w(i) = -i**3 - 11*i**2 - 3*i - 17. Let s be w(-11). Calculate the remainder when 75 is divided by x(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 193, 291, 389, 487, 585?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1164597566 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37352833 or 37352830?\nAnswer: 37352833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.09 (b) -1\/4 (c) 0.01 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/((sqrt(225) - sqrt(225)*1) + sqrt(225) + sqrt(225) + sqrt(9) + sqrt(9)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3428213853?\nAnswer: 3, 151, 7567801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/19 - 24458*d**2\/19 - 634894*d\/19 - 4124614\/19.\nAnswer: -2*(d + 13)**2*(d + 12203)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(5 + -3)\/2. Let b(u) = u**2 - 1. Let i be b(j). Factor -2*x + i*x + 4*x**2 + 1 - 2*x**2 - x**2.\nAnswer: (x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15881, -19442, -23003, -26564, -30125?\n\"Answer: -3561*b - 12320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2798365, -5596748, -8395131?\n\"Answer: -2798383*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, -3, 3, 0 in ascending order.\nAnswer: -283, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1957*y + 8*y**2 - 1894*y - 12*y**2.\nAnswer: -4*y**2 + 63*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*s + 2*s = -33, -2*x = s - 3. Determine o, given that -2\/7*o**3 + 0*o**2 + 0*o + 0 + 2\/7*o**x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56933?\nAnswer: 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69916, -140854, -211792?\n\"Answer: -70938*x + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 1)**2*2 + (2*(2 + sqrt(19)))**2)*-3.\nAnswer: -396 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.11 - -0.35. Let s = -0.24 + b. Suppose -4 = -4*r - 0*r, 3*t + 2*r = 17. What is the third biggest value in t, 0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 78*u - 782. Give m(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -7*c**4\/4 + 123*c - 1. Let l(p) = 4*p**2 + 1. Calculate l(f(k)).\nAnswer: 1764*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 151.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = w. Let k be 4\/(-16) + 38\/(-8). Let p = -1.2 + -2.8. Which is the closest to 0.1? (a) p (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 10. Let b be 1*v*-1 + -1. What is the third derivative of -w**6 + 0*w**b - w**6 - w**2 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5503271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 697.782 + -697. Round i to 2 decimal places.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 939*u = 937*u - 10. Let s be (-3)\/5*(120\/32 + u). Let 3\/4*b - s*b**3 - 3\/4 + 3\/4*b**2 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/17 + 16*r\/17 + 32\/17 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-384) - (165\/12 - -6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7456054.000528 + -7456162. Let c = x - -108. What is c rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-178*6\/(-8))\/(75\/(-60)*(-414)\/(-345)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/m**5)\/m)\/m)\/m*m*m*m**(3\/4)*m*m)\/(m\/((m*((m**1\/m)\/m)\/m*m)\/m))**(-6\/5) assuming m is positive.\nAnswer: m**(23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*t**4 + 496*t**3 - 127*t**2\/4 + t\/2 = 0. Calculate t.\nAnswer: -2, 0, 1\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 3529472?\nAnswer: 3529472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*k - 14, -2*u = 5*k + u + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1440773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 + 29.8. Round o to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32.99 and -62498.\nAnswer: -2061809.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36229698.79 rounded to the nearest 10000?\nAnswer: -36230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2. Suppose -5*n + 12 = 2. Let i(w) = w**2 + w**n + 3*w - 3*w. Give i(q(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 474, 947, 1420, 1893, 2366?\n\"Answer: 473*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:30 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4968*s - 4968*s - 31247*s**2.\nAnswer: -31247*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:30 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10300*t - 8. Let c(d) = 2583*d - 2. Calculate -9*c(r) + 2*k(r).\nAnswer: -2647*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 11*s - 32 = 0. What is the smallest common multiple of s and 34?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*2*1. Let w = 1 - a. Suppose m - 18 = -w*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 9*h**5\/4 - 15163*h**4\/4 + 51929*h**3 - 214020*h**2 + 220536*h + 60156 = 0.\nAnswer: -2\/9, 2, 6, 1671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 9. Put -1\/5, u, -4 in ascending order.\nAnswer: u, -4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 4999528919?\nAnswer: 4999528919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1574*s - 786*s - 41*s**3 - 20*s**2 - 785*s.\nAnswer: -41*s**3 - 20*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -e?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 231 - 928?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19246, 121, -2\/3?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -2457 (c) -44754\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7101382.\nAnswer: 2, 3550691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15153 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 9*o**2 + 165*o + 475.\nAnswer: -(o - 19)*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h - 1. Let v be d(-4). Calculate the greatest common factor of 15 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.39008 (b) 2\/15 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1922 + 0.01865187.\nAnswer: 0.21085187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50 - -51)\/(1\/2). Factor 1\/4*o**5 + 0*o**4 + 1\/4*o + 0 - 1\/2*o**3 + 0*o**r.\nAnswer: o*(o - 1)**2*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0558*-0.6.\nAnswer: -0.03348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 111\/4?\nAnswer: 111\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 2*u**2 - 33*u + 43. Calculate c(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4 - 1. Let k = 4222 + -4227. Sort k, -3, l.\nAnswer: k, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*l**4 + 2*l**3 - 95*l**2 - 13 wrt l?\nAnswer: 4656*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + -1. Let o = j + 46.8. Sort o, 12, 4\/3, 4 in decreasing order.\nAnswer: 12, 4, 4\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 185 - -81c0?\nAnswer: 8355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let u(o) = 3*o + 57. Give u(r(x)).\nAnswer: -3*x + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 4*z - 4*z)*(4*z - 1 - 2*z + 0).\nAnswer: -4*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvdc. What is prob of sequence vd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1523578 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2 - 4 - (-58 + 45)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 32. Put 2, -0.2, 1, a in ascending order.\nAnswer: a, -0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 21. Let t be n(7). Suppose 3*f = -o + 37, 3*o - 4*f - 168 + 5 = t. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16226*h**3 - 3*h**2 + 13181*h.\nAnswer: 97356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 5*h**5 - 5*h**5 + (426*h**3 - 3238*h + 3238*h)*(3 - 3 - h**2) - h**5 - 1 + 1.\nAnswer: -426*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**5\/60 - 5*x**4\/8 + 35*x**3\/6 - 42*x**2. Let l be y(15). Let a(i) = -23*i + 2 + l*i - 15*i. Calculate a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 8472 = -50*h - 477. Suppose -135 = -3*z - 2*z. Calculate the smallest common multiple of z and h.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 16 = -3*o, 13*o = 10*o + 5*w + 20. Suppose o = -129*q + 137*q - 3528. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/160 and 81\/1408.\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30749*z**6 + z**5 + 10*z**2 + z - 55.\nAnswer: -3689880*z**3 + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 58*w - 292. Give m(-24).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 3, 0 = 3*r - 3*k + 18. What is the biggest value in 3, r, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 6084*q**3 - 2092272*q**2 - 214640*q - 5504 = 0.\nAnswer: -2\/39, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 2*i - 2. Suppose 0*r + 3*r = 0. Suppose -18*v + 15*v - 9 = r. Let a be u(v). Solve 0 = -2*f + 3 - a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffoooffffofoo. Give prob of picking 3 o.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132 - -227. What is the remainder when q is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 2. Let l(d) = d + 22. Let j(n) = 2*l(n) + 22*p(n). Let u(z) be the first derivative of z**2 - 6. What is j(u(b))?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhjhnhnuu. Give prob of sequence unnu.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5117 <= 5127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*c**2 + 1\/2 - 3\/2*c - 1\/2*c**3.\nAnswer: -(c - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r*r**(2\/25)\/r))\/r**3*((r**5\/r*r)\/r)\/((r\/(r\/(r*r\/(r*r**(-3)))*r))\/r*r) assuming r is positive.\nAnswer: r**(23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*t - 37 = -h, 2*h = -3*t + 27. Suppose 2*z - 12 = h*z. Let a(r) = r**3 + 5*r**2 + 5*r + 4. What is the units digit of a(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/376 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/73816306 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 6736?\nAnswer: 6735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2. Let c(u) be the third derivative of 0*u + 0*u**4 + 0 + 0*u**3 + 104*u**2 - 1\/2*u**5. Determine k(c(a)).\nAnswer: 3600*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2897101.\nAnswer: -5\/2897101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 0 + 5\/2*l**3 + 2*l - 7\/2*l**2. Let t(q) = 85*q - 4 - 40*q - 37*q. Determine 6*d(k) - 11*t(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*k + 32*k + 14. Solve -3 + 1 = -k*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from mmmmgmmmmmggmmgg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 0.1 (b) -1\/3 (c) -22 (d) -2\/17 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6808\/(-518))\/((-2)\/(-7))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 273, 2142, 7217, 17100, 33393, 57698?\n\"Answer: 267*n**3 + n**2 - 3*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15772117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -2*u + 8*x + 5*x - 22, 82 = u + 13*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 - 3*n**2 + 4*n - 5. Calculate o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - (-30)\/40. Let p be 1\/(25\/(-10) + 2). Let z be h\/p + (-2)\/(-4). Solve g - 2 = -z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/24 and 79\/10544607.\nAnswer: 84356856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 16*q**3 - 49*q**2 - 5*q - 85. Let j(c) = -3*c**3 + 10*c**2 + c + 17. Let u(o) = 11*j(o) + 2*x(o). What is the tens digit of u(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1491, 5427, 11831, 20709, 32067, 45911, 62247?\nAnswer: 81081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6435 and 82\/2513511?\nAnswer: 12567555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + o**2 - 5*o - 5. Let d(s) = -s + 50. Calculate the remainder when d(0) is divided by c(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/9 (b) -286 (c) 29.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 2056*k - 391048. What is w(-252)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 265, 238, 189, 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (14 - 0) + 1\/(-1). Suppose b*l = 4*l + 77. Let o be ((-86)\/4)\/(l\/(-22)). Calculate the highest common divisor of o and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.281828019 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366850?\nAnswer: 2, 5, 11, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011110010011 + -1?\nAnswer: 10011110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -71*k**2 - 10*k - 36. Let u(p) = 212*p**2 + 28*p + 102. What is -17*o(w) - 6*u(w)?\nAnswer: -65*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12199321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-3) - (-9)\/(-27). Suppose k*z = z + 64. Suppose 0 = 2*r + 2*r - 36. What is the remainder when z is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11561*f = 11516*f + 1935 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7879 + -7877. Solve 5*l + 15 = 0, -16*f + 21*f = l - v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 32 = -31*m - 3. Which is the nearest to 8? (a) -2\/5 (b) -2\/7 (c) -9 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -10. Let r = 32 - k. Solve -b - r = -4*j, -2*j + 6 + 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*a**3 - 445*a**3 + 140*a + a**4 + 266*a**3 to the form i + j*a**2 + k*a**4 + h*a**3 + s*a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**23\/t**11)**(-2\/5) assuming t is positive.\nAnswer: t**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163614954*r**2 + 318677060 with respect to r.\nAnswer: -327229908*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -260493?\nAnswer: -260493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 + 8*q**3 - 15*q**2 - 4*q + 20 = 0 for q.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 6*n - 17. Let u = n - 3. Let f be 2\/4*5\/u. Sort 5, f, -1\/2 in descending order.\nAnswer: 5, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -5*sqrt(320)*2)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 - n**3)*(3 - 4 + 2 + (2 - 2 + 2)*(14 + 8 - 17)).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10093430 to the nearest integer?\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44872268, -44872269, -44872280, -44872307, -44872356?\nAnswer: -44872433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/15? (a) 4\/5 (b) -7\/6 (c) 51\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*2 + sqrt(119))*6 + sqrt(119))\/(sqrt(28)*1).\nAnswer: 19*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -2055, -7038, -16739, -32730, -56583, -89870, -134163?\nAnswer: -191034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2886 + -7?\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1008980 (base 10) to base 12\nAnswer: -407a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 7360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjg when three letters picked without replacement from {y: 1, j: 1, g: 2, e: 5}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.5938 - 0.8938. What is the fourth biggest value in 3, -2, 5, -6, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(-5*o + 0*o + 3*o)*(47 + 83 - 77) in the form w + r*o and give r.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 16*o\/3.\nAnswer: -o*(o + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 30 = -i - 4*s, -2*i + 3*s = 21. Sort i, 1, -7, -4 in ascending order.\nAnswer: -7, i, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = -3*i, 4 - 29 = -5*i + 4*d. Let p be -1 - (351\/(-52))\/9. What is the closest to p in 0.1, i, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b - 7689 = 66*b. Let n = 699 - b. Suppose 0 = 3*m + 35 + 10. Put n, 3, m in increasing order.\nAnswer: m, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -2001?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 5*f**2 - 2*f + 4. Let n be o(6). Let q = -39 + n. Let v be q + 9 + 2 + 0. Solve 2*w + 3*r - 2 = v, -5 = -3*r + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21871606 < 21871607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9329589 or -9329610?\nAnswer: -9329610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3659960.80725 + -0.26\nAnswer: -3659961.06725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 less than -0.0775?\nAnswer: 9.9225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 22 = -12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, s: 2, i: 2, f: 1}. Give prob of picking 1 f and 2 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -1813.54788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**3 - 3*v**2\/2 - 6*v - 20. Factor f(l).\nAnswer: 3*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -44*c + 46*c. Let s = -43 - c. What is the greatest common factor of 4 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956 is divided by 77?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1300))**2*-3.\nAnswer: -3948 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1*-4 + -3 - ((sqrt(2)*-1)**2*-2 + -2))*-1.\nAnswer: -3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1. Let n be o(6). Suppose x + 2*t = n*t - 11, 5*x + t = 9. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 113*d + 2. Let z be o(1). What is the hundreds digit of 4324\/z*1*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/3693 and -42\/308981?\nAnswer: 926943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 e when four letters picked without replacement from {u: 2, e: 4, o: 3, q: 1, w: 4}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 136. What is the smallest common multiple of 22 and a(46)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 44 = 3*x - 60, 0 = 3*x + w - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4323480569525 - -0.5?\nAnswer: 4323480569525.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 21*m**2 - 3*m + 43. Give y(21).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*f*z**3 + 2*f + 51*z**3 - 3 wrt f?\nAnswer: 67*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 9*u**2 - 3*u**2)*((-2*u**3 - 4*u + 4*u)*(2 - 5 + 0) + 8*u - 8*u - 4*u**3).\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(-3 + sqrt(931) + -2*sqrt(931)*-3) + 1)**2*-3.\nAnswer: -684525 + 5880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 19 = 19. Let o(j) = -j**3 + 6*j**2 + 2*j - 8. Let l be o(6). Suppose l*f - 6 = -2. Solve -z - 6 + f = y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216704 (base 10) to base 3.\nAnswer: 102000021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by (-6)\/14 + (-45)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/16 + -31\/16. Let w = 199\/3 - 655\/9. Find the common denominator of z and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/16*-2 - 10\/(-4). Let o(m) = -m**2 - 7*m + 12. Calculate o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -52, -153.5, 1\/3, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 806 and 5566887?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*x**3 - 2134*x**3 + 1309*x**3 - 8*x + 409*x**3.\nAnswer: x**3 - 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + (-4 - -1) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**3 - 4*p**2 - 4*p + 1. Let s(t) = 6*t**3 - 4*t**2 - 3*t + 1. Determine 4*s(c) - 3*z(c).\nAnswer: 3*c**3 - 4*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 2:41 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 9:12 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 - 362\/(-4). Let n be (-3 + -2)\/(6\/(-12)). What is the highest common factor of n and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6*a - 80*a**2 + 24*a - 60*a + 2*a**3 + 28*a as p + t*a**3 + k*a**2 + y*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**2 - 1. Let d be j(1). Let q = 4 - d. Let o(v) = -v**3 + 2*v**2 + v. Let n be o(q). Solve -3*l - n*f = -5*f - 18, -4*f = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 5202*v**2 - 5235*v**2)*(-2*v + v + 2*v).\nAnswer: -33*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h = -32*h + 32*h + 45. Which is bigger: h or 7\/192?\nAnswer: 7\/192","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(1365\/10)*36\/(-8)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Let d be (-2 + 1 - w)*-4. Let y(l) = 12*l - 1. Is y(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 6*r**2 + 15*r + 14. Let d be b(10). Suppose 2*f + 1746 = 2*v + 4*f, 4*f = 2*v - d. List the prime factors of v.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 12. Let t be (-42)\/(-18) + (-4)\/(-6). Let n = j - t. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -32*r + 31*r + 2707, 2*r = 4*c + 5430. What are the prime factors of r?\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/5 (b) 4\/9 (c) 316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. What is the third biggest value in -1, p, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 17*h + 18. Let c be f(-14). Let g = 60 + c. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 26*m**2 + 187*m + 186. Let y be s(-1). Suppose -2*d - d = -2*n - 292, 0 = -5*n + 20. Calculate the greatest common factor of d and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1, -18, -107 in descending order.\nAnswer: 3, 1, -3, -18, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 3*y - 134. Calculate i(-15).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.56525 rounded to one dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, -5, 4, -4.\nAnswer: -22, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 20 (c) -1 (d) 4540 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -511 - -12.5611?\nAnswer: -498.4389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912136 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -3 - (-7 + -1). Suppose h - 10 + 1 = -3*k, -5*h + 6 = 2*k. Sort h, -1, d in decreasing order.\nAnswer: d, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -3062*a**3\/3 - 7421*a**2\/2 + 3391*a. Differentiate o(j) wrt j.\nAnswer: -6124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 5*13\/16)\/((-6)\/8)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 5:34 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/24 - 58\/(-6). Let w = u + -6. Solve 0 = -v - w - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 391?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-10) + 354\/1770)*((-302)\/(-6) + -1).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -17*i + 5. Solve 13 = -2*m + 6*m - i*o, -m + 22 = -5*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380574 is divided by 190007.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2406, -4845, -7284?\nAnswer: -9723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 36 = -10*r. Let i be 6 + (0 - r) - -1. Solve -5*y - 44 + 13 = -i*s, -2*s + 2 = 2*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12 = 0, 2*n = -y - n + 12. Let o(a) = a**2 + 5. Let q(c) = c**2 + 5. Let j(d) = 2*o(d) - 3*q(d). Give j(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*v + 136, 6*v - 5*a = v + 160. Let u be 3\/7 - 0 - v\/(-14). Solve u*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715780 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbqbqebhqebyedbheq. What is prob of sequence dbq?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146849.\nAnswer: 3, 11, 23, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-552)\/(-60)*-5*(-10)\/20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.52832 to two dps.\nAnswer: -29.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2391161 to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*l**3*w + 261*k**2*l*w**2 + k**2 - 8*k*l**3*w + 2*k + 27*l*w**2 wrt k.\nAnswer: -4*l**3*w + 522*l*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*1*(-2*sqrt(200) + -3 + 4))**2 + 1 + -3.\nAnswer: -400*sqrt(2) + 3223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from ujrujrujrru.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 5. Let f be b(0). Let d(w) = 3*w**2 + 62*w - 17. Let h be d(-21). Solve h*c = 3*c + f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4053.2681 rounded to the nearest 10?\nAnswer: -4050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -359 + 429 - 4*m - 2*m - 3272 to the form h + x*m and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16604 divided by 40.\nAnswer: -4151\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-112)*12*340\/(-17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 1.8. Let v = 0.7 + q. What is the closest to -2\/3 in v, -2\/9, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5\/4)\/c*c*c)\/(c*c\/(c*c*c*c\/c**(-3\/7)))*c*c**1*c*c**(-2\/15))**41)**(-33\/5) assuming c is positive.\nAnswer: c**(-955669\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 + 208. Let d(g) = 1. Let m(i) = -7. Let b(l) = d(l) + m(l). Let k(s) = s + 5. Give c*k(q) + 5*b(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/99 != 0.096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Suppose 4*x - 148 = f*x. Let w = -71 + x. Solve 2*l - w*l - 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -52291 and -52291 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 - (4 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100333550 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -236 + -548. Let k = n + 1371. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (381 + 1331 + 242 + 618)*(0*u + u**2 + 0*u) to j*u**2 + t*u + a and give j.\nAnswer: 2572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21766244.\nAnswer: 2, 41, 132721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/12 + n**3\/6 + 24*n. Let d(l) = l**2 + 3*l + 22. Let g(q) = -d(q) + 3*z(q). Differentiate g(i) with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -147, -224, -323, -444, -587?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 10*p + 16. Let d = 343 - 350. What is v(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 5. Let b be i(3). Let f(u) = 3*u**b - 18 - 2*u**2 - u + 18. Calculate f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -10*n + 11*n. Suppose -y - n*d = -1191, 0 = -0*y - 3*y + d + 3580. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d = -c - 47, c = -3*d + 145. Let y = -23 + d. Suppose -5*n + 0*n = -3*k + 32, 2*n - 4 = 0. Calculate the remainder when y is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 14*q**3 - 3*q**2 - 7*q - 6. Let o be h(-5). Suppose -17 - 1137 = 2*x. Let u = x - o. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*(-3 + sqrt(475)*4))**2.\nAnswer: -4800*sqrt(19) + 274000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 28. Suppose 5*i + 240*b - 8 = 244*b, 3*i + 40 = -4*b. What is the closest to a in 16, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let n(j) = -444*j. Calculate p(n(d)).\nAnswer: -197136*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254.95*-526.\nAnswer: -134103.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112*0.3.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k**5 - 5*k**3 - 5*k**2 + 5. Let j = 50 - 46. Let v(n) = 9*n**5 - n**4 - 6*n**3 - 4*n**2 + 4. Let b(f) = j*r(f) - 5*v(f). Factor b(i).\nAnswer: -5*i**3*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22034 - -22066. What is the remainder when 40765 is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 4, c: 1, u: 2, t: 1}. Give prob of picking 1 c and 1 u.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2199 divide 195724194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 3*l**2 - l - 3. Suppose -j = 2*j + 60. Let r be 2\/(48\/j + 2). Let s be 26\/(-10) + -1*(-2)\/r. Calculate d(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -401, -394, -385?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40680 and 6780?\nAnswer: 40680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (((-74124)\/(-377))\/12 - (-1 + 1))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4443116.\nAnswer: 2, 1110779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*t - 21, -5*t - 3*w + 122 - 101 = 0. Solve t = -6*z - 3 + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2608 + 59982\/23. What is the nearest to 2\/3 in -1\/5, 6, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.05401, -1\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = -d, -3*d - 2*h + 2 = 10. Let t = d - 5. Let p(i) = -7*i + 1. What is the tens digit of p(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0497607m to centimeters.\nAnswer: 4.97607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24633\/(-6545) + (-36)\/(-99) + 0\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -349*z + 2747. Calculate k(8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 847555179 + -59609\nAnswer: 847495570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 0.0541, -2, 0.1, 1, 0?\nAnswer: 0.0541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 - 8 - n - n - 3*n - 23. Let v be g(7). Calculate the highest common divisor of v and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 258 = 54*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4\/6 - (13600\/15)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -139*z**3 + 117*z**2 + 359*z - 1. Determine i(-3).\nAnswer: 3728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122210012 (base 4) to base 3.\nAnswer: -12112020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*g*x**4 - b*g*x**3 + b*g*x + 2*b*g + 2*b + 13*g*x**2 + 109*g*x wrt x?\nAnswer: -24*b*g*x**2 - 6*b*g*x + 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 95*g - 220. Determine b(-93).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 2*a + 3*a)*(-37 + 90 - 5*a - 32) to the form l*a + i + g*a**2 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqq when three letters picked without replacement from qqmqqmqqqmwmw.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 7*r - 6. Determine k(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430.939 kilograms in nanograms?\nAnswer: 4430939000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -719176?\nAnswer: -719171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4742821 months in millennia?\nAnswer: 0.000206190175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/7 (c) 0.1 (d) -2 (e) 2008 (f) 26 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2738, 2739, 2740, 2741?\n\"Answer: h + 2737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*6.356\nAnswer: 0.6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -540 + -3?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 + (-20)\/(-5). Factor -3*n**3 - 8*n**2 - 4*n**2 - 3 + 15*n**2 + c*n.\nAnswer: -3*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-104)\/24 - -1)\/((-4)\/(-6)). Which is the second smallest value? (a) 3\/5 (b) n (c) 0.05 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzplzvpfelfeeeve. What is prob of picking 2 p and 1 f?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*m = -8 - 26, 4*m - 23 = -x. What is the derivative of -2 + x*v**3 + 9*v**3 + 11 + 1 wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - 3*l**4 + (-l**2 + l**2 + l**2)*(-5*l**2 - l**2 + 4*l**2) - 8*l**4 + 5*l**3 + 59 - 3*l**3 - 61.\nAnswer: -13*l**4 + 2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 689*s + 4762. What is i(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -539750?\nAnswer: 539750.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in -3\/10, 2\/11, -0.17, 2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 9:13 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 20, 5*d - 23 = -m - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181 by -3.\nAnswer: -181\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -68642?\nAnswer: -3\/34321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 2 f when four letters picked without replacement from jfpupfppfpkkfspuppkf.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 18 = 7*x - 0*b + 94 - 7, -5*x = b - 24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + l = -7, 0*c - 2*c + 3*l = 0. Suppose 2*i = -c*i + 5. Let r(m) = 6*m. What is r(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34669 less than -331?\nAnswer: 34338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6fba08 (base 16) to base 13\nAnswer: 1694a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663117 is divided by 562.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 50445, -6309 in decreasing order.\nAnswer: 50445, 2\/5, -6309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -132, -254, -376, -498, -620?\n\"Answer: -122*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*x + 8*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 109*y**9\/126 - y**5\/60 - y**3\/6 - 2*y**2 + 120*y. What is the third derivative of a(b) wrt b?\nAnswer: 52320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187359*o*p - 3080*p + 10 with respect to o.\nAnswer: -187359*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1215 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22939\/39 + 1765\/3. Let i(f) = -f**3 + 10*f**2 + f - 10. Let g be i(10). What is the nearest to g in j, -1, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -110311220222?\nAnswer: 110311220223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2025*k**5 - 155*k**2.\nAnswer: -121500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 389 + -123. Let g = -266.4 + y. Which is the nearest to -1\/7? (a) -1 (b) g (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 - 5*p + 11 + 17*p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i, -4*r + 2*i + 10 = -7*r. Solve 3*h = -r - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1447101 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**6\/15 + 4*r**5\/25 - 4*r**3\/15 - r**2\/5 + 2. Factor b(q).\nAnswer: 2*q*(q - 1)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(sqrt(475) + -2) + sqrt(475)*-1*2)**2 - (sqrt(475) + -1 + sqrt(475)*2 + sqrt(475) + sqrt(475)*5 + -5)**2.\nAnswer: -8047 - 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2 = 8*d + u, 0 = 3*d + 5*u + 14. Sort -0.1, -0.3, d, -2\/7 in decreasing order.\nAnswer: d, -0.1, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 95*11*10*(-4)\/(-100). Suppose 9*r - w + 121 = 0. Let t be r\/(-6)*8\/4*-2. Calculate the greatest common factor of 198 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-240)*(-37)\/(2849\/198)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -104266135?\nAnswer: 104266143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 5, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16510 is divided by 3295.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24011542, -24011530, -24011518, -24011506, -24011494, -24011482?\n\"Answer: 12*z - 24011554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p**3 - 3*p**2 + 8. Let h be 33\/(-4) + 1\/4. Let k(u) = 7*u**3 + 2*u**2 - 5. Let q be 47\/(-9) - (805\/63 - 13). Calculate h*k(t) + q*i(t).\nAnswer: -t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-104))\/(42\/(-168)) + (-12)\/1430*14.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2))**(6\/11)\/(g*(g**8\/g)\/g*g\/(g*g**(3\/8))*g))**8 assuming g is positive.\nAnswer: g**(-527\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccgccdcccdcddccccdcc. Give prob of sequence dcgc.\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2521*a + 159. Let o(h) = -1801*h - 112. Give -17*o(j) - 12*p(j).\nAnswer: 365*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1572 by 131.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = -8*x + 3*x, 0 = -5*n + 5*x + 20. Suppose n*o - 29 = 11. Suppose -13 = -s + o. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -33*((-11 - -6) + (-65)\/(-15)). Solve 8 = 6*f - d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -790, -614, -438, -262, -86?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 310\/3 in 3\/2, 861, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308 divided by 308.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2. Let o(i) = -i**3 + 9*i**2 - i + 13. Let a be o(9). Let x be g(a). Solve 0 = 3*z - x - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 7*i**4\/24 + 1177*i**2. Let t(j) = -2*j**2. Determine p(t(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 44\/10 + 90\/150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14820 and 1.\nAnswer: 14820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48683431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (14 - 13)\/(1\/379)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 10*i**2 - 2*i**3 + 2 - 3 + 7 + 12*i. What is the units digit of s(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -359\/3 + 715\/6. Which is greater: o or -384?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 + 68 + -161 + (17 - 4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((3\/(-20))\/1). Suppose 4*c - r = 0, 2*n - 1 - 19 = 2*c. Solve -3*k - n = -6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 101*i + 600. Let y be m(-6). Let k(v) = 1. Let c be 4\/6 + 4\/3. Let a(o) = -o + 2. Give c*a(n) + y*k(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-42))\/(((-30)\/(-175))\/2)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r - 8 = 5*l, 2*r - 4*l = 22. Let f(q) be the third derivative of 0 + 4*q**2 + 1\/24*q**4 + 0*q + 5\/6*q**r. What is f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14430 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - ((-51)\/9 - -2). What is the third biggest value in f, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11253 + -11250. Which is the third smallest value? (a) -0.01 (b) -119 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-3*sqrt(209)*-4 - sqrt(209)) + sqrt(209) + sqrt(209)))\/(sqrt(110)\/sqrt(90) + -3*1*sqrt(11)).\nAnswer: -39*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 11*p**2 - p - 3. Let w = 692 - 1220. Let q = -539 - w. Calculate a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77474904 to the nearest integer?\nAnswer: 8802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 739452 divided by -28?\nAnswer: -26409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**8\/20160 - p**7\/840 + p**6\/120 - 2*p**5\/15 - 3*p**2. Let w(i) be the third derivative of m(i). Give w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 233935 and 21395140?\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*a + 12 = 0, 5*a = 5*m + 7*a + 6. Let y(u) = -u**2 + 3*u + 377. Let c be y(m). Calculate the highest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttv when three letters picked without replacement from vajvvtvtvwjv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 85*o**2 + 3*o - 33. Is g(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*u - 84*u - 307490. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 94. Calculate the remainder when g is divided by -4 + (4\/(8\/65) - 31\/62).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182\/37 or -5?\nAnswer: -182\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9091 is divided by 49.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 41 + 115 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 0)\/(-3)*1. Let i = -32\/119 + -2\/119. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + 6 + -19 + 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(0 + 3 - 2)*(0*a + 3*a + 0*a) + (0 + 3 - 2)*(-a + a - a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 t when three letters picked without replacement from {x: 4, t: 3, p: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*t - 77*t + 106*t + 3891 + 4026 = 0 for t.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9209 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -5. Let a = -3 - c. What is the lowest common multiple of a and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j = -14*j + 2244 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3 - 1029344*a**2 - 186*a - 501?\nAnswer: 6*a - 2058688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 2, m: 1, h: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*q**3 - 5 + 6 in the form j + u*q**2 + k*q + h*q**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1092237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 2:41 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175656*a**4*p**2 - a**4 - 2*a*p**2 + 36*a*p + 2*p**2 + 2*p + 180 wrt a?\nAnswer: -2107872*a**2*p**2 - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 20*a**3 - 5.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -17 in decreasing order.\nAnswer: 4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 10*m**2 - 9*m + 2. Let x be h(9). Suppose -1\/2*p - 1\/2*p**5 - 1\/2*p**4 - 1\/2 + p**3 + p**x = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5635 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 8) in base 3?\nAnswer: 10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -9) + (-1 - (1 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 217494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from bbbxbxbb?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 5*w - 8*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -2735.\nAnswer: 12\/2735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 13118128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 99*i**3 - i + 2. Let h be a(1). Suppose 12 = 11*u + h. Calculate the common denominator of -62\/3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**5 + 144*c**4 - 1647*c**3 - 6168*c**2 - 540*c + 8208 = 0. Calculate c.\nAnswer: -57, -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, g: 7, r: 7}. Give prob of sequence gz.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6940712413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:11 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239 - 112. Let b = -770 - -767. Let s(z) = -z**3 + 3*z**2 + 15*z + 34. Calculate the remainder when c is divided by s(b).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/((-150)\/3)*(-2)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -33.32?\nAnswer: 13.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1 + 2)*(82 + -87). Let q(h) = h**3 - 4*h**2 - 2*h - 21. What is q(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {a: 8, u: 4, q: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2145*a*c - 1631711*a*m**3 + 2*c*m**3 - 2*c*m**2 + 156*m**2 wrt m.\nAnswer: -9790266*a + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 27 + 20 = 86. Solve -2*a - 9 = -p, 0 = -n*a - a - 5*p + 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 38 - 6)*(-29*m + 17*m + 63*m)*(-2 - 3 + 7).\nAnswer: 3468*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.142 + -0.062. Let z = t + -1. Let i = z - 3.08. What is the closest to 2 in 4, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1549 - 3095\/2. Let r = 0.21 - 0.11. What is the closest to 1\/4 in y, -1\/3, r, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (88\/(-12))\/((-6)\/9). What is the derivative of 20*c - 3*c**4 - 9*c - x*c - 1 wrt c?\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = -10. Suppose y*h - 2*h = -3*k + 12, 0 = -4*h + 12. Let m(r) = -r**3 - 13*r**2 - 13*r - 5. Let j be m(-12). Solve j = -4*f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/98 at least 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4485.61 and 0.13.\nAnswer: -4485.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.8, 0.5, 2\/13, -2, -27\/6353, -0.3?\nAnswer: -27\/6353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x - 17 - 10 - 1 + 3 = k, -2*k - 4*x - 110 = 0 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 128*c + 90. Let m(v) = v. Let r(a) = -2*i(a) + 12*m(a). What are the prime factors of r(-4)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34936 + -11153. Suppose 0 = 3*h - 20*h + u. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6924 + 33?\nAnswer: -6891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-19)\/(-57)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 900 and 450?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 5*u. Let y be d(3). Suppose -t = t - y. Let m(h) = 29*h - 3. Does 21 divide m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:09 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**3\/5 + 306*w**2\/5 - 594*w\/5 + 294\/5 = 0. Calculate w.\nAnswer: 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 3)*(4*i - 3*i + 0*i) - 2*i - i + 0*i)*(757771*i + 9064*i**3 - 757771*i) to the form v*i**2 + f*i**3 + x*i**4 + t*i + y and give x.\nAnswer: -9064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177539 is divided by 44383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**6\/10 + 3*j**5\/20 - 13*j**4\/4 - 2*j - 2. What is the third derivative of g(c) wrt c?\nAnswer: -72*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1 - -2*13. Suppose l - g = -4*l. Suppose -a = -l - 4. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (550\/22)\/150*26?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8259876?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 6*o + 6. List the prime factors of n(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27114 - 27117. Let a = -0.3 - -0.8. Sort q, 5, a, 1\/5.\nAnswer: q, 1\/5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*x + 81*x + 13*x)*(-15*x + 2*x - 9*x) to the form w + q*x**2 + m*x and give q.\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 6 = 2*n. Let f(k) = 12*k + 4. Let a be f(7). Let p be 368\/a - 2\/11. Calculate the greatest common factor of p and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -38254180?\nAnswer: -497304340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (11 - -1)) + 9 - 3 - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-2) + (-17)\/6 and (-31)\/30 - ((-3)\/((-108)\/(-477)) - -13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 823 - 827. Put 3\/7, 0.1, q in increasing order.\nAnswer: q, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0469 times -0.3?\nAnswer: 0.01407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(30222\/(-85629))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**13)*n)\/(n**(-17)\/n) assuming n is positive.\nAnswer: n**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.89 - -0.39. Let x = i - 1.5. Which is the second biggest value? (a) -3\/4 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose -19*s + 23*s + 16 = g. Suppose 3 = -3*j - 2*j - 3*n, -2 = -2*j + 2*n. Sort j, s, -3 in decreasing order.\nAnswer: j, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 17*u**4 - 5*u**3 - 5*u**2 - 19*u. Let o(d) = 16*d**4 - 4*d**3 - 4*d**2 - 18*d. Let k(j) = -5*o(j) + 4*s(j). Find the second derivative of k(z) wrt z.\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 + -0.3. Let n = v - -2. Let z = 452 + -450. What is the closest to z in 1, n, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o**3 + 37*o**3 - 69*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 3, g: 5, d: 1, c: 1, f: 3}. What is prob of picking 1 l and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563632?\nAnswer: 2, 35227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 153085641.\nAnswer: 2602455897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86878530 to the nearest integer?\nAnswer: 9321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**4 - 733146*a - 1027769 with respect to a.\nAnswer: 4*a**3 - 733146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12485530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -120058808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/5015 and 59\/3205?\nAnswer: 3214615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 3, -3, -29 in decreasing order.\nAnswer: 13, 3, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbf when three letters picked without replacement from jfyffbfbbb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) - (-34)\/(-10). Suppose 3*r + 2 = -4*z + 12, -2*r = 4*z - 12. Put z, -2, u in ascending order.\nAnswer: u, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81.6 - 69.6. What is the smallest value in -2, s, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2169653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6921080 by -346054.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60140941771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 36 + 6. Sort y, -5, 5 in ascending order.\nAnswer: y, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2305372 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3981040?\nAnswer: 2, 5, 7, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let l(r) = -2*r - 9. Let a(w) be the third derivative of 1\/24*w**4 + 0*w + 2\/3*w**3 - 3*w**2 + 0. Let k(y) = -9*a(y) - 4*l(y). What is g(k(p))?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6917*-0.004.\nAnswer: -27.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 31770540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/((-7260)\/935))\/((-2)\/(-4))*15.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**6\/90 + o**5\/5 - 5*o**4\/9 - 7*o**2 + 4. What is w in j(w) = 0?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/12 - 802*r**3\/3 - 321602*r**2 - 4*r - 25. Factor p(n).\nAnswer: -(n + 802)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2136 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0, -0.02, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 3\/(3*-1). Suppose b - 3 = -m. Solve 5*c = 3*u + u + 18, 4*c - 4 = -b*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42530 + -42511. Suppose 3*b = 5*q - 29, 0 = 3*q - 2*b + 5*b - 3. Solve -q*v + 15 - f = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u**3)\/(u**3*u**(-2\/3)) assuming u is positive.\nAnswer: u**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 3*t**2 + t. Let p be m(1). Let d = -14 - -10. What is the smallest value in p, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(119) - (sqrt(119) - sqrt(119)*-1))\/sqrt(7))**2 + (5 + 0 + -2*sqrt(17))**2.\nAnswer: -20*sqrt(17) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-278 - -336) + -1 + (-43 - -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164124.\nAnswer: 2, 3, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/11))**(-45)*(t**(-14))**(-22) assuming t is positive.\nAnswer: t**(3343\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*a - 26*a - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 0*b**2 + 1\/3*b**3 - 9 + 0*b. Let z(i) = -10*i. Give z(c(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -126108014.39 and 0.\nAnswer: -126108014.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 1 + 3, 4*h + 4 = 4*k. Let w be ((-387994)\/28)\/1 - (k - 6). Let y = w - -13848. Calculate the common denominator of 101\/2 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 1216, 2618, 4570, 7066?\nAnswer: 10100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 20*d**2 - 42025343 + 2*d**4 + 42025343 + (3*d**3 - 4*d**3 - d**3)*(5*d + 2*d - 3*d).\nAnswer: -6*d**4 - 20*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145247466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 28 = 3*a + 21, -u = 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -30. Let k = 116 + i. Suppose -26 - 34 = -2*v. What is the highest common factor of k and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.6, 2\/45 in ascending order.\nAnswer: 2\/45, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -296e6 (base 15) to base 5\nAnswer: -13230231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 682\/196 + (-3442)\/(-168658)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -233*w - 1389. Calculate x(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 5. Let w be z(-5). Let f = 17 - 14. Find the second derivative of -6*r**5 + 2 + f*r**w - 2 + 4*r wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 2\/15*n**3 + n + 0*n**2 + 1\/50*n**5 + 0 - 1\/10*n**4. Factor t(v).\nAnswer: 2*v*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*(sqrt(114) + sqrt(114)*3)*3)\/((sqrt(72)*-4)\/sqrt(12) + sqrt(486)*2))**2.\nAnswer: 10944\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + t**2 - 4*t**2)*((1 - 2 + 2)*(1 - 2 - 1) - 4 + 3 + 0 - 7 + 3 - 8) to y*t**2 + c*t + x and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*c - 11339 + 11021. Factor 15\/2*d**2 + 5\/2*d**4 + 15\/2*d**c + 5\/2*d + 0.\nAnswer: 5*d*(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 4*n - 3. Let c(j) = -3*j**2 - 1277 + 428 + 424 - 3*j + 427. Give 5*b(a) + 6*c(a).\nAnswer: 2*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3107.4 + 3107. Do n and 3\/424 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18271 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 - 60. Let z be (r\/(-14))\/(-3)*7. Let a = 25 - z. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1\/4, 5, -22426, 0.4, 0 in descending order.\nAnswer: 5, 3, 0.4, 1\/4, 0, -1, -22426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 484*h**4 + 11790*h**3 - 35756*h**2 - 636032*h + 660480 = 0. Calculate h.\nAnswer: -6, 1, 16, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3)\/n)\/n**11*n\/n**(-10)*n*n*n\/n**9 assuming n is positive.\nAnswer: n**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.133 + -388.133. Let q = k + 388.5. Which is the closest to 1? (a) 3 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c - 1. Give i(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10)\/g*g)\/g**(19\/2))\/(g**8*g*g**(-18)\/g*g) assuming g is positive.\nAnswer: g**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -0.1, 2, 6\/29, -0.2, 54, 1682?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5901 a factor of 1245800971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7487 rounded to one dp?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {e: 1, b: 2, r: 2, h: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 4*h - 7. Let p be w(5). Let n be 1\/p*(1 - 11). Suppose -l - 208 = -n*q - 4*l, -3*q - 3*l = -126. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95 from -0.4.\nAnswer: -95.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/8*16\/(-8).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10404 = 4*c, -18*u + 23*u = 5*c + 17410. What are the prime factors of u?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3691813789 to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from {k: 4, q: 6, v: 7}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -8\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 697 or 698?\nAnswer: 698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 72*v - 559 - 376 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18144265*g**2 - 11339373*g?\nAnswer: 36288530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, g: 1, p: 7, j: 1}. Give prob of sequence jpu.\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -3, -80278.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38 minus 24774746?\nAnswer: -24774747.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -7. Let k = q - -3. Which is the nearest to 0? (a) 1\/4 (b) k (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -15*z - 11. Let p be 212\/26 - 14\/91. Let o(c) = -p*c + 2*c + 5*c. Let j(l) = -2*o(l) - u(l). What is the first derivative of j(d) wrt d?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (7 - (-5 + 16))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31172581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530302142 (base 6) to base 9.\nAnswer: 18375608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2111 (base 3) to base 12\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -350, -700, -1048, -1394, -1738, -2080, -2420?\n\"Answer: k**2 - 353*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-6)\/(-42))\/(-4*3\/(-168))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 19*l**2. Let f(o) = -3*o - 2. Let t(v) = 4*v + 3. Let g(c) = -3*f(c) - 2*t(c). Give j(g(q)).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 + 3. Let k(x) = x. Let d(w) = 3*k(w) + t(w). Let n(c) = 2*c - 8. Let r be n(6). Is d(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/13)\/h)\/(h\/h**14))\/(h**(-2\/9)\/h)**(-41) assuming h is positive.\nAnswer: h**(-4432\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 + 121.9. Sort n, 2, 2\/5, 7\/3 in descending order.\nAnswer: 7\/3, 2, 2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -119\/9. Let b = 256 - 257. Which is greater: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142 is divided by 54?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 271068 divided by 922\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 0*i + 0*i + (1 - 3 + 3)*(0*i**3 - 3*i**3 - i**3) to t*i**2 + l*i**3 + w + q*i and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkllklkkkkkllkkk. What is prob of sequence llk?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((2*-3*sqrt(84))\/(-4*sqrt(3)*5) + -4))**2.\nAnswer: -384*sqrt(7)\/5 + 7408\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:43 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 6:02 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/2 + ((-864)\/(-297) - 11\/(-121)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 3796d?\nAnswer: -3796c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/10 + 2\/(-5). Let q be 1\/((-2)\/6 + 0). Let i = 35\/24 - 17\/8. What is the biggest value in q, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -11. Let f = -1183 + 4733\/4. Which is the nearest to 1? (a) 0.1 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 6. Let y(j) = -1. Let p(u) = -1. Let h(l) = 2*p(l) - y(l). Let n = -333 - -339. Determine n*h(q) + s(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8971*q**2 + 18021*q**2 - 8950*q**2.\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0153, 0.2, 41\/5, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -339, -538, -737?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*z + 32 + 151, -2*z + 6 = 0. Calculate the greatest common factor of 18 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f - 3 + f - 3. Let w = -7 - -1. Let a be z(w). Solve 0 = n - a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673819506 a multiple of 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -16658*i**2 - 33314*i - 1. Give y(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -60711\/23470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154630, 154639, 154630, 154603, 154558, 154495?\nAnswer: 154414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/((-112)\/12). Let i = 1\/14 - 33\/70. Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**6\/80 - d**5\/60 + 13*d**4\/12 - 3*d. Let m(a) be the third derivative of h(a). Does 26 divide m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 56 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-6)\/q*q*q)*((q*q**(-7))\/q)\/q)\/(q**(1\/3)\/(q*q\/(q*q**(1\/2)\/q))))\/((q*q\/q**(4\/5)*q**(1\/3))\/(q**(4\/3)*q**2)) assuming q is positive.\nAnswer: q**(29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 263 = 2*k + 62, -5*b = -2*k + 207. Is 32 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.972 to 2 decimal places.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + -2)*(-10)\/(-10). Suppose 5*z - 2*z = 0. Solve z*a = -h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3706.9 + 3706. Which is greater: -0.16 or j?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 12 = 4*d - 6*d, 0 = 4*f - 2*d - 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 20116.13415 to the nearest integer.\nAnswer: 20116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4540, 7990, 9260, 7258, 892, -10930?\nAnswer: -29300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -534*l - 7. Let g(w) = -432*w**2. What is q(g(h))?\nAnswer: 230688*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20724)\/(-5181)*1\/8*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3273 and 61299.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d\/d**(-2\/15))**(36\/11) assuming d is positive.\nAnswer: d**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5314 - 5296. What is the second biggest value in g, 3\/4, 2, 2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 13 = 2*x, -7 = l + l + x. Suppose -c - 5 = 2*o, 0 = o - 2*o + 4*c - 16. Suppose -2*i - 11 = -7. Sort i, o, l in ascending order.\nAnswer: o, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 1) + (8 - -46) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1057770 and 169\/2115540.\nAnswer: 2115540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.11, 340488, -0.2 in decreasing order.\nAnswer: 340488, 0.5, 0.11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 340948130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1566935 and -0.06.\nAnswer: 94016.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 278*l**2 + 550*l - 1802. What is t(-280)?\nAnswer: 998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - 2 - 105\/119 and -37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110102200 + 2?\nAnswer: -1110102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86608286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 - 3529*d - 7078. What is m(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101011021221002022 + 10?\nAnswer: 101011021221002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001293414 rounded to 6 decimal places?\nAnswer: -0.001293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4171 greater than -29196\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7503 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 - 71. What is the remainder when t is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 - 5.6. Let j = 3.3 - 0.2. Let q = j + r. Which is the biggest value? (a) q (b) 5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 7 + 4)*(16 - 16 - 3*k)*(6 + 3 + 2)*(-1 + 1 - k**4).\nAnswer: 726*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*v + 4 = 0, 4*v = 5*k - 0*v + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20112332333 (base 4) to base 16.\nAnswer: 216fbf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 189\/(-27) + 2*3. Let t(u) = -773*u + 36. What is the tens digit of t(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5682971 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3273488752410201.9999674 - 3273489895407578. Let r = z - -1142997744. Let x = r - 368. Round x to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-16)\/x**26)\/(x**(-4\/13)*x)**45)**(-3) assuming x is positive.\nAnswer: x**(2853\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3107 - 3107.1. Is b < -4.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*u + 126, 0*u - 4*u + 161 = 5*r. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3300430130 - -32?\nAnswer: 3300430212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1945769984.\nAnswer: 2, 950083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198, -5\/2, 0.2.\nAnswer: -5\/2, 0.2, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*4\/(-1)*(367 - 366). Factor -4\/5*a + 0 + 12\/5*a**u.\nAnswer: 4*a*(3*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -39*a**2 - 60*a - 7. Determine k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 + 41. Let v be (-98349)\/(-9)*(-1 - d). Let h = -969669 + v. What is h rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**4\/24 + w**3 - 30*w**2. Let n(i) = 41. Let o(b) = -n(b) + 4*r(b). What is o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715639 is divided by 10202.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-50)\/15 + (16\/12 - 2). What are the prime factors of v\/22 + (-5 - (-3423)\/11)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -479*f**2*m - 44993*f**2 + 2503*f*m - 5*f + 28*m + 1 wrt f.\nAnswer: -958*m - 89986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1436 + -1436.2. Let l be 2\/(-4) + (-6)\/(-8). Which is the closest to l? (a) -4 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -57\/5 (b) -1687 (c) 2\/929\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -28*s - 44 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 567*p**2 + 28*p + 124. What is the thousands digit of x(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 9:18 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 461 = 10*p + m, -3*p + 2*m = -464. Calculate the highest common factor of p and 1540.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(231\/6))\/(-2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = 17*n + 22 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 + 135. Let w(n) = -n**2 + 12*n - 26. Let i be w(o). Does 8 divide (-48)\/(i\/(-3) + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - i - i)*(0*i**2 + 2*i**2 - 9*i**2) + 4*i**3 + 0*i**3 - 6*i**3 to the form s*i**2 + n*i + a*i**3 + z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207133\/20 - 10359. Let z = v + 13\/5. Which is the third smallest value? (a) 0.04 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-2\/13)))\/(h**(-1\/16)*h))**9 assuming h is positive.\nAnswer: h**(-2043\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2425051 and -0.3.\nAnswer: -727515.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 69*u - 6. What is j(-35)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 37*m - 20*m - 18*m. Let k(n) = 2*n. Give u(k(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z - 80*z = -229*z + 432. Factor 9\/7*m**3 - 9\/7*m + 6\/7 - 6\/7*m**z.\nAnswer: 3*(m - 1)*(m + 1)*(3*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 + 6*d**2 - 6*d. Let z(y) = -y - 6*y**2 + y**3 + 11*y**2 - 4*y**2. Give -s(p) + 6*z(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d - 477 + 477 + 118*d + 151*d.\nAnswer: 206*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.47885*5.7\nAnswer: 2.729445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3371*h + 212*h + 1328*h.\nAnswer: 4911*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 68, 131, 214?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlttytttlqtqtyxlxty. What is prob of sequence ly?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143747 is divided by 13004.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 - 9*n + 4. Let v(o) = 2*o - 1. Let d(a) = 5*v(a) + z(a). Give d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4041, 11327, 21879, 35703, 52805, 73191, 96867, 123839?\nAnswer: 154113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 2, g: 2, h: 1, r: 1, w: 1}. Give prob of sequence rsge.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:10 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*j + 2*f, 2*j = j - 2*f + 3. Let g be (-14)\/63 - 1010\/(-9). Calculate the common denominator of 4 and j\/((-100)\/g) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 + 31*j**2 - 34*j + 31. Let q(d) = -d**3 + 10*d**2 - 11*d + 10. Let p(b) = -4*m(b) + 11*q(b). Does 2 divide p(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/510 and 32\/935?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10001905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {h: 7, y: 2, l: 4, j: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 4, v: 4, w: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28760, -50, -5 in descending order.\nAnswer: 28760, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/14)\/(2505\/(-280560)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 46. What is f(27)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l + 14*l - 377 = 503 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9*j = 20. Let a = j - -17. Calculate the remainder when 24 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -27, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 15*h**2. Let o be (-16 + 14)\/(1 - 0). Let c(r) = -r**2 + 2. Let i(l) = -l**2 + 3. Let d(w) = o*i(w) + 3*c(w). Calculate d(f(x)).\nAnswer: -225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 153.367578 to the nearest integer.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 324 in 0.5, 6, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + 63 - (135 + -200 + 81)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/183 and -137\/12.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 96 + (3422736\/243)\/(-152)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 - 220.07. What is a rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21732694 to the power of 1\/2, to the nearest integer?\nAnswer: 4662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.988, 0.9, -0.2, 4 in descending order.\nAnswer: 4, 0.9, -0.2, -0.988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q + 32*q - 6*q - 159 = 0. Solve u + 30 - 9 = 4*g, -2*u + 2 = q*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*v = -30, 0*v + 16 = 2*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -517961*m. Let q(x) = 2*x**2. Calculate h(q(y)).\nAnswer: -1035922*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 1)*(-5 + 2*t + 5) + 0*t + 2*t - 4*t)*(-338*t - 320*t - 282*t) to the form x*t**2 + z*t + j and give x.\nAnswer: 3760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 7:18 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10017014, -10017005, -10016998, -10016993, -10016990, -10016989, -10016990?\n\"Answer: -b**2 + 12*b - 10017025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -34445 - 114*f + 33975 - 100*f - 31*f - 5*f**2 = 0.\nAnswer: -47, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 696\/(-96) + 7 + 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35464 by 143.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 0)*4\/(-6). Let k = 8 - 7. Suppose 2*f - 3*f = k. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212160 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 - 0.32. Let t = 14 + -14. Which is the second smallest value? (a) s (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*n - 26, -4*n - 3*y = 2*y - 38. Let l(v) = v**2 - v - 2. Calculate the least common multiple of n\/2*(-44)\/(-33) and l(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t + 3. Let w(r) = -r**2 - 2. Let p(q) = 6*b(q) + 5*w(q). Suppose 25*m + 127 = -23. What is p(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 + (0 - 1 - (-21 + -57 + 24))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = 0. Solve p = -2*t - 5*t + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1269, -1274, -1279, -1284, -1289?\n\"Answer: -5*z - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 44. Let n(s) = -19*s - 23*s + f*s. Let k(w) = w - 36 - 5*w + 36. Calculate k(n(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q + q + 0*q)*(-2 + 4 + 0) + 34*q - 18*q - 3*q + (2 - 5 + 1)*(8*q - 47*q + 7*q))*(1 + 1 + 1).\nAnswer: 219*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1)\/w)**(3\/2)\/(w**(2\/11))**22)**(-1\/25))**(-21) assuming w is positive.\nAnswer: w**(-231\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166646.43 months to centuries.\nAnswer: 138.872025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + -2*sqrt(2448)*-5 + 5*sqrt(2448)*-4 + 5))**2.\nAnswer: -960*sqrt(17) + 244816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -41048*n**2. Let k(j) = -16*j**2. Give m(k(o)).\nAnswer: -10508288*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 383 + -392 + (28 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-9))\/(2\/24). Put n, -2, 8 in increasing order.\nAnswer: n, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 1128785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2918 + 4177. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + n - 14. Determine d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2585*o - 19 = 2604*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4843 = 5*f, 7 = -4*z + 3. Suppose 12*k - 8*k = f. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 219 = 342*h. Let j be (-2 - -2) + (-4)\/5. What is the nearest to h in j, -3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -5*r - 12, 3*c = 4*c + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -615.2641?\nAnswer: 618.2641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a + 308*a**2 - 82*a**2 - 89*a**2 - 111*a**2 to the form x + f*a**2 + s*a and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 268574 (b) 2\/19 (c) -0.3 (d) 0.026\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(17) - (sqrt(1088) + 1) - (-1 + sqrt(17)*-2)).\nAnswer: -5*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 2 + -109 + 110.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeef when four letters picked without replacement from {w: 3, z: 1, q: 10, f: 1, e: 2, k: 1}.\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 20 = 3*q. Let z be -1*(-11)\/(44\/8). Suppose -13*d + 11*d = 5*x + 6, 0 = x - z*d - 6. Sort x, 17, q in descending order.\nAnswer: 17, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 2:36 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16524807 * 1.2\nAnswer: -19829768.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:47 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((24\/4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13596 divided by -7\nAnswer: -13596\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10639824*r**4 - 15380201*r**2?\nAnswer: 255355776*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 7) + (383 - -1). Suppose 4*h = 417 + c. Suppose -h = -5*a - u + 96, -a - 4*u + 44 = 0. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + h**2 + (2*h + 3*h - 3*h)*(4 + 4*h - 4))*(15*h**2 + 7*h**2 + 54*h - 73*h).\nAnswer: 198*h**4 - 171*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7. Let m = -6 + o. Let k = 9.72 - 8.72. Which is the biggest value? (a) k (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 131*o**6\/120 - 65*o**4\/24 - 16*o**2. Find the second derivative of u(v) wrt v.\nAnswer: 786*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 823860 and 242160?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**5 + 15652*l**4 - 2745275*l**3 + 118023986*l**2 - 68738880*l - 46555488 = 0. What is l?\nAnswer: -3299, -2\/5, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esbfdwfsfwbeses. Give prob of picking 1 f, 1 b, and 2 w.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and 373.\nAnswer: 373.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 80 - 49 = -91 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0245? (a) 1\/2 (b) -18 (c) -3\/7 (d) -5 (e) 4 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 383, -75, 0, 1 in decreasing order.\nAnswer: 383, 1, 0, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = 4, 35 = 3*t + 5*x. Suppose -t*u - 6 = -256. What is the remainder when u is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o + 39663 = 11*o. Let i = -2593 - o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 30. Let p = n - 28.999924. Round p to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25686005, -51372003, -77058001, -102743999?\nAnswer: -128429997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 8) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.4. Let v = 0.16 + -0.26. Suppose 0 = -c - 0 - 5. What is the second smallest value in c, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 - 2*q + 3. What is the remainder when (-508)\/(-18) - 2\/9 is divided by n(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 u, and 1 y when four letters picked without replacement from {n: 2, v: 4, y: 3, u: 6, h: 2}?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - ((-5 - 1 - (44 + -41)) + 4)) + 19.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -12*k + 13*k. Let w = k - 60. What is the highest common factor of w and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 90, 242, 466, 768?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-14))\/1*(-8)\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 14*n - 45. Let l be a(8). What are the prime factors of (4 - l) + (1 - -1) + 235?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*l - 5*m, -6*m - 30 = -2*l - 4*m. Solve -b + 2*b = 3*o, -4*o - l = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/24)\/((-66)\/88).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10982 from 24080329118.\nAnswer: 24080318136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/4*2\/3. Suppose -3*u = 5*y + 8, 4*u - y = 6*u + q. Let b(p) = 860000*p**3 + p**2 + p. Let t be b(u). Round t to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-13 + (-135)\/(-18))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021563538 rounded to six decimal places?\nAnswer: -0.002156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122293, -122291, -122305, -122347, -122429, -122563, -122761?\nAnswer: -123035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:29 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 55. Let u be d(12). What is the third derivative of 11*c**2 + 18*c**2 - 3*c**2 - u*c**4 wrt c?\nAnswer: -1608*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(77\/(-84))*2\/6. Suppose -4*s + i + 23999995 = 0, -5*s + 8177298 = x*i - 21822722. What is s rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -15*g**3 + 95*g**2 - 19*g + 17. Determine s(8).\nAnswer: -1735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b + 604. Let z be o(0). Suppose z = 3*u - 5*f, 3*u - u - 3*f - 401 = 0. Suppose -213 = -14*p + u. Calculate the remainder when p is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2) - 0 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 + 2*z**2 - 8*z + 3 + 4*z**2 + 0*z**2. Let y be a(8). Solve -2*i - y*t = -22, 4*i + t + 2 = 26 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(10)\/sqrt(5) + sqrt(2) - sqrt(2)) + (sqrt(10)*3)\/sqrt(5).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -113 (b) -1\/2 (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueyeo. Give prob of sequence uoy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3473 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 4002426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2478744 and 256.\nAnswer: 79319808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*(((k*((k\/(k\/(k*k*k**15*k*k)))\/k)\/k)\/k)\/k*k*k)\/k)))\/(k*k**(2\/11)) assuming k is positive.\nAnswer: k**(174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/12 + 2*z**2 - 8*z. Let t(x) be the first derivative of l(x). Let a(d) = -22*d**2. Calculate t(a(j)).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:26 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -277\/315 - -5\/63. Let s = 235 - 2113\/9. Which is the nearest to s? (a) u (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/60 + k**4\/24 - k**3\/6 + 2*k**2. Suppose -2 = -a - 0*a. Let c(d) = -d + 4. Let g be c(a). Determine r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n + 903*n**3 - 10*n - n**2 + 18 - 8.\nAnswer: 903*n**3 - n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 2*q**2 + 2. Let w(b) = 2*b**2. Calculate w(c(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1035\/10)\/((-3)\/(-6)) is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v**3 - 151*v**3 - 22*v**3)*(-5*v**2 + 4*v**2 - 4*v**2).\nAnswer: 955*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from {s: 5, v: 4, w: 6}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gppqppqugqqppg. What is prob of picking 1 q and 1 p?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-432)\/90)\/(-24))\/(11\/((-6765)\/9))*-6?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -43194*i - i**3 + 3 + 3*i**3 + i**3 + 43193*i - 9*i**2 as g*i + u*i**3 + x + l*i**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhv when three letters picked without replacement from hvvvhhvvhhhh?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 20 = -i, 5*i + 6*p - 25*p + 61 = 93 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 33*r**2 - 185*r - 85. Determine u(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234 + 236. Suppose -3*o + 2*o = 0. Suppose 39 = -5*q + 49. Solve g*f + q = -o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**3*(z**(-1)*z)**(-3\/26)*z\/z**(-2\/3)*(z*z\/z**(-5))\/z*(z**7\/z)\/z*z\/(z\/(z**0\/z)) assuming z is positive.\nAnswer: z**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(132)*4)\/sqrt(12).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-24))\/((-3)\/24)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*j**2 + 3062*j**2 - 5*j - 2593*j wrt j?\nAnswer: 6030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98137*u**5 - 2*u**2 - 929*u + 3 wrt u?\nAnswer: 5888220*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8125 - 0.8625. Put 0, -0.9, 2, 3, k in descending order.\nAnswer: 3, 2, 0, k, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32 - b**2 + 1115*b**4 + 5*b**2 - 4527*b**3 + 4527*b**3 wrt b?\nAnswer: 26760*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 41 = -3*p, p = -p + l + 9. Let f = -5 + p. Let c be 2 + 2\/(0 - f). Let z(r) = 4*r + 1. Give z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 80, 2, -1 in decreasing order.\nAnswer: 80, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -1.85.\nAnswer: -0.2035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2591 + 2592. Let x(j) = -j**2 + j + 1. Let u(b) be the first derivative of 0 + 2*b**3 - 2*b**2 - 1 - 5*b + 0*b. Calculate o*u(i) + 4*x(i).\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46*b**2 - 78*b**2 + 34*b**2 - 1 + 6*b)*(3 - 5 - 5) to the form w + o*b**2 + g*b and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 106\nAnswer: -17\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -436 + 435. What is the nearest to q in -0.5, 267, -1\/5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150572 or 2\/5?\nAnswer: -150572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + i**3 - 4*i**2 + 3*i**2 + i. Let v be n(2). Let r(y) = -3*y + 2. Calculate r(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 12 - ((3 - 0) + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 423.4? (a) -2 (b) -6 (c) 3 (d) 0.081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = 2*m. Let p be (6 - (m + 3)) + -4. Suppose 1 = -p*i + 7, -i = -4*w + 58. Solve 0*h - w = 3*h - 3*l, 5*l = -5*h - 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t + 47. Determine u(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6312, 24779, 55542, 98601, 153956?\n\"Answer: 6148*w**2 + 23*w + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19693927 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*q - 9, -7*p + 4*p + 9 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 36. Suppose 8*y - 35 - 1429 = i. What are the prime factors of y?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eepeepqepmqemmgp. Give prob of picking 3 p and 1 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 11) in base 3?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -90.\nAnswer: -31\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5612812 bigger than 5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/60 - 56*s**5\/15 - s**4\/12 + 81*s**3\/2 + 619*s**2. Find the second derivative of d(v) wrt v.\nAnswer: 12*v - 448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1910467\/11 <= -173679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d - 1 + 0*d + 4*d - 17*d to the form t*d + p and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 165444622*u\/5 - 6842980737180721\/5.\nAnswer: -(u + 82722311)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11484 - -11654. Let n(j) = 8*j - 6. Let u be n(5). What is the highest common factor of c and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -170? (a) 4 (b) -5.07 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 215*x. Suppose -3*q - q = -8. Let w be z(q). 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 remainder when 1865131 is divided by 196?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 10:14 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, 12, 56, 120, 210, 332, 492?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Suppose 0*t = -f*t + u - 11, 18 = -3*t + 4*u. Sort 5, -1, t in descending order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 358 - 355. Solve 3 + m = 2*c - 4*q, 5*c + 1 = 2*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36 - 66*105\/385) + (1 - 0). Suppose -j - 2*j = -15, 2*z = -j - 1. Put z, -2, q, -1 in ascending order.\nAnswer: z, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 32 + 15 - 50 as p*f + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82 - -3?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8450573 millilitres in litres?\nAnswer: 0.0008450573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -343 - 1311041?\nAnswer: -1311404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -981*a**2 - 277*a**2 - 3111*a**2 - 554*a**2.\nAnswer: -4923*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 29 - 54. Solve -5*a = -2*j - 2*j + 3, -21 = k*j + 2*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*u - 345*u - 361*u = -276 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-18 - (-30 - 13))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9)\/((-4)\/(-9))*14. Suppose 3*h + 0 = -d. What is the second biggest value in h, -0.5, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(25))\/sqrt(5) + sqrt(5) + -1*sqrt(20) + 3.\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-5)*(2477475\/484)\/(-315)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5775856 - -5248.6?\nAnswer: -5770607.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38528*-411.3\nAnswer: -15846566.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-6))\/(2\/120*-4). Let r(j) = -j**2 + 26*j - 8. What is r(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148\/583 + 54\/53. Calculate the common denominator of -103\/12 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 13. Let t = 1.2 - 8.7. Let n = y - t. Which is the third biggest value? (a) 0.3 (b) -3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1624*s**3 + 2061*s**3 + 3*s - 2*s.\nAnswer: 3685*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 47 = 4*u - 23, -2*a = u + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661329.\nAnswer: 71, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/130 or 1?\nAnswer: -7\/130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/19))\/b)\/b)\/(b*b**29) assuming b is positive.\nAnswer: b**(-590\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*n + 2980 = -2660. What is the remainder when 719 is divided by n?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*g - 4 - 2*g)*(2*g - 6*g + 2*g).\nAnswer: -6*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.7919618?\nAnswer: -0.23758854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180345 is divided by 13753?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8 - 1\/2. Suppose g*l = 3*l. Suppose 1\/2*a**2 + l*a + 0 = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 9*f + 94. Let s be b(-15). What is the remainder when 40 is divided by 2 + -75*s\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -4 - (37 + 1). Let a = b - -50. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecqk when four letters picked without replacement from {e: 2, k: 1, c: 4, q: 9}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -12*a + 9 - 2*a**2 + 23*a**2 + 21 - 10*a + a**3. Let o be j(-22). Factor 35*h**2 + 65*h - 5*h**4 + 0*h**4 - 3*h**3 - 6*h**3 + o + 4*h**3.\nAnswer: -5*(h - 3)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55\/4 of a meter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 79 + 3*n - 81 + 15*n**2)*(-n**3 - 3*n**3 + 3*n**3).\nAnswer: -15*n**5 - 3*n**4 + 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15 = -8*j, 0 = -5*z + 2*j + 281. What is the remainder when z is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f + 3. Let h be i(3). Suppose 0 = 3*n + 4*n - h. Solve -3*q - 3 = -n*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871*z + 240663 = 13333*z - 195507 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from {o: 7, x: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*l + 24, 4*l + l - 5*c - 30 = 0. Suppose 5*n = l - 0. Suppose n = -a + 3, 5*i - 5*a = 0. What is the nearest to i in 5\/4, 0.1, 4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/158 (b) -6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 3*t**2 + 4*t - 2. Let b(l) = -l**2 + 19*l - 5. Let n be b(17). Suppose d + n = 25. Give s(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 6}. What is prob of sequence qqv?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37607372 - 25810175. Suppose -3*x + 6802839 + l = 0. Suppose 2*n = -3*a - 6199991, -4*a = -n - n - x. Round n to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 153 - -3?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/((-80)\/(-72))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxubrbrur. What is prob of sequence rr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5073, -5081, -5137, -5277, -5537, -5953, -6561?\n\"Answer: -6*u**3 + 12*u**2 - 2*u - 5077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g - 80. Give w(29).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**2 + 4*q - 1. Let j be i(3). Let v = j + 419\/6. Let c = 1 + -1.4. What is the closest to 2\/9 in -0.5, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44099?\nAnswer: 11, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 2*t. Let c(n) = n**3 + 5*n**2 + 6*n. Let w be c(-3). Let j be z(w). Solve -5*y - 2 = g, -2*g = -j*y + 4*y + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878790.2 weeks in minutes?\nAnswer: 8858205216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 124, 1, 6432, -0.5.\nAnswer: -0.5, 1, 5, 124, 6432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w. Let y(t) = t + 6. Let c(l) = 3*l + 13. Let g(p) = 6*c(p) - 13*y(p). Give h(g(v)).\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(17) + 5 + -3.\nAnswer: -4*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -26.1\nAnswer: 7.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 9. Let n = 18 + -17.9. What is the third smallest value in n, -5, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmlglllmgllmmllgmg. What is prob of sequence mml?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19581 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 2:49 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0\/(6 + -5))\/(-1))\/2. Sort u, 94, -2 in decreasing order.\nAnswer: 94, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 24. Let k = 11 - g. Calculate the highest common divisor of 16 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = k + 262*j - 264*j, -5*k = -22*j + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 16 = -2*b, 95*b - 12 = 91*b - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11671019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 4632?\nAnswer: 50952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140303 (base 15) to base 4.\nAnswer: -3222333321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*h**2 - 642*h**3 - 275*h**2 - 35*h**2 - 123*h**2 + 131*h**3 wrt h?\nAnswer: -3066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158 + 158.0000169. Round u to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 14*m + 18. Let q(n) = 4*n**2 - 15*n + 19. Let c(l) = -6*j(l) + 5*q(l). Let w be c(-6). Is 50 a factor of (w*-1)\/(-2 + (-297)\/(-150))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 1343 + 7223 = 0. Let h = 260 - s. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -65, -136, -227, -332, -445?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a15c (base 13) to base 6.\nAnswer: 1031025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - l - 33 = 0, 3*l = 5*b + 9 - 59. Solve -2*g - 3*v - 16 = 0, -8*g = -b*g - 3*v - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 77286 = -21*i. What are the prime factors of i?\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 15 + 6)*(5 - 7 + 1)*(1 + 3 - 11)*(-3 - 4*a**4 + 6*a**3 + 3*a**4 - 2*a**3) to the form i*a**4 + s*a + v + b*a**2 + n*a**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/5)\/(1 + 36\/(-40)). Suppose -10*n + r = -16*n. Let p(f) be the second derivative of -f**4\/6 - 2*f**3\/3 + f**2\/2 - 3*f. Determine p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10383539 is divided by 87.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 567669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10)\/(2537\/(-27907))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + 0.35. Put h, -2, 0.2 in decreasing order.\nAnswer: h, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -25\/4, 825\/7, -1?\nAnswer: 825\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 2e1?\nAnswer: -2e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2364 divided by -394\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 491*f + 14. Let o be v(4). Let r = -1211 + o. Suppose 0 = -5*c + 138 + r. List the prime factors of c.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250602964?\nAnswer: 2, 62650741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 664 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.96027 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 8475?\nAnswer: 8475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/37, 3, 3\/5, 0?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from ddhddwdddhdddzdsd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/3123 and -15\/14061481?\nAnswer: 126553329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-6)*4\/(-8)*-3. Let j be s\/11 - 54\/(-2). What is the greatest common factor of 252 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1, 1\/3, 3073, -3\/5 in increasing order.\nAnswer: -1, -3\/5, 1\/3, 2\/3, 3073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6)*21\/(-7))\/(-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*m*v + 170*j*m + 291*m*v with respect to v.\nAnswer: -j*m + 291*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 5*w - 4. Let m(s) = -s**2 - 4*s - 4. Let a(y) = 6*m(y) - 5*z(y). Let g(l) = -4*l**2 + 3*l - 15. Let f(u) = -22*a(u) + 6*g(u). Factor f(o).\nAnswer: -2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*u**4 - 77*u**4 + 247*u**4)*(-4*u + 3*u - u).\nAnswer: -390*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2 - 2 - 6*g + g**2 + 7 - 1. Let r be w(5). What is the derivative of -y**2 - y**2 + 0 + r wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170730 divided by 70.\nAnswer: -2439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11894094193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 bigger than -2\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - 0.01. Let s = -5.12 + o. Let y = -3881\/2 - -1941. Which is the third smallest value? (a) y (b) s (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221200111122210 + 10?\nAnswer: -221200111122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13713.\nAnswer: 3, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 12. Suppose -5*d - 2*g + 30 = 0, -5*d = -4*d - 3*g - 23. Calculate n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 0.05, -6, -61, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 14*n + 22. Give x(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 3*h + (1 + 1 + 0)*(-8*h - 2 + 2))*(2 + 4 - 2).\nAnswer: -52*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g + z - 9, -3*g = -4*z + 6. Suppose -b = 3*b. Suppose b*k - g*k = -26. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-8))\/(((-105)\/(-28))\/15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 17180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l = -33*l - 156. Calculate the highest common factor of l and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4760 and 425?\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 830319282*a*j + 2*a - 5853571 wrt j?\nAnswer: 830319282*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 236 (c) 7 (d) -1\/8 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r + 0*r + 3*r + 23*r. Let v(p) = -3*p**2. Give d(v(u)).\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1, 118, -7.\nAnswer: -7, -4, -1, 2, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 467792 and 8960016.\nAnswer: 116480208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23555 is divided by 291.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76777449 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9 - 4 - 345*n + 341*n - 5.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*f - 1581, 2*i + 67 = 3*f + 694. Let -16*v + 4*v**4 - 12 + 6*v**3 - 5*v**4 - 315*v**2 + i*v**2 = 0. What is v?\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let h(r) = -5*r**2 - 23*r**2 + 9*r**2. Determine h(a(k)).\nAnswer: -76*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-12)*((-207)\/690)\/(1\/5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112514, 225849, 339184, 452519?\nAnswer: 565854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -43. Suppose -z + 25 = 4*y, 0*y + f*y = 3*z. Suppose 4*h + z*h - 1458 = 0. Calculate the greatest common factor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22240? (a) 1 (b) -19 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 345?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 19. Let a be (-42)\/14 - 2*3. Let c be i(a). Which is bigger: -0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1519891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/20)\/13*4\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5830076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000275585689 rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 2:19 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338028308?\nAnswer: 2, 84507077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*r + 5029 = -3*r, 0 = -5*a - 4*r + 25181. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffvv when four letters picked without replacement from vfvfffffgffffg?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*q = 74, -3*q + 96 = -0*n + 3*n. Let s = n + -3. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(4\/13)\/x)\/x)\/x**19)\/(x**(-7)*((x**(-1\/3)\/x)\/x)\/x))**(-4\/5) assuming x is positive.\nAnswer: x**(1616\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 5*r + 26. Let h be 1\/3 - r\/(-6). Suppose -5*m + 0 = -5, 0 = -h*k + 5*m + 15. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, and 1 e when three letters picked without replacement from exyccpxpcpyepppyx?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 9. Suppose 27 = 3*z + q. What is the lowest common multiple of z and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -17*p**2 + 884*p - 63. Let n be o(51). Calculate the highest common factor of n and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417572.\nAnswer: 2, 104393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.272783191 rounded to four dps?\nAnswer: -0.2728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 9*a**2 - a + 19. Let n = -65 + 56. List the prime factors of s(n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.668 and 55284931.\nAnswer: 55284927.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/4))**(-31) assuming g is positive.\nAnswer: g**(155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 19*o = -g - 18, g - 12 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10418 (base 10) to base 7\nAnswer: -42242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*b - 100*b = 4785. Suppose -b - 291 = -33*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 900 + -868.53. Let j = i - 33.2. Let n = -1.7423 - j. Round n to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 3. Let h(z) = z**2 - 8*z - 7. Let k be h(9). Let t(w) = w - 1. Let b(o) = k*c(o) - 4*t(o). Calculate b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - (5 + (-16 - -7))) + 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1752.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*v - 3 + 2 + 1 to the form w*v + t and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w, i + 19*w - 659 = 23*w. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6335079 and -15.\nAnswer: 95026185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 4*d**2 - d**2)*(-1 + 2 + 0)*(2 - 3 + 0 + (-1 - 1 + 0)*(-1 + 4 + 1) + 4 + 1 - 2).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 28626 = 3*c, 0 = -5*c - 19 + 4. Let o = a + -4962. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*l = 5*q - 17, 0 = -5*q + l + 26. Suppose -3*d = -q*d + 4. Factor 4*u**5 - 2*u**5 + 36*u**3 + d*u**5 + 24*u**4.\nAnswer: 4*u**3*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 79234.2 meters?\nAnswer: 79234200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 1 - 1)*(4*y - 5*y + 4*y) + (2*y + 3*y - 3*y)*(-25*y + 15*y - 27*y).\nAnswer: -71*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2. Let a(i) = 17 + 7*i**2 - 17 + 0*i**2. Calculate a(x(y)).\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 291\/924 - (-9)\/(-36) and -31\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0 (c) -369 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 97750622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -123. Let u be (-64)\/(-160) + (227\/(-155) - q). Let p(s) = -s + 10. Let m be p(10). Which is greater: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x*x*x*x*(x\/(x\/(x**(8\/5)*x)))\/x*x*x*x**(-2\/23)*x*x\/((x**(-3\/7)\/x)\/x*x*x) assuming x is positive.\nAnswer: x**(12833\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -48 (b) 0 (c) 3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 21 - 38 - -8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4768 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283635 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (29469\/133)\/(-11)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 5:10 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138 (base 13) to base 15.\nAnswer: e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from ccyyy?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1497 divide 152638611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 10*o**2 - 4*o + 3. Let m be j(-5). Suppose 88 = 4*g - m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:23 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 45. Let p(o) = o**3 - 5*o**2 + o - 6. What is p(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - j**2 + j + 1. Let r(v) = 15*v**3 - 20*v**2 - 3*v - 3. Let n(x) = -3*f(x) - r(x). Find the third derivative of n(s) wrt s.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 23 = -d - 2*n, d - 40 = 4*n. Calculate the highest common factor of d and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)\/(2*sqrt(275)) - sqrt(49)\/(sqrt(126)\/sqrt(2) - sqrt(7)))*5)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 1\/8*l**3 + 0*l**2 + 5*l + 1\/48*l**4 - 2. Let t(b) be the first derivative of s(b). Factor t(v).\nAnswer: v*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**2 - 29230*z - 2476800 = 0.\nAnswer: -5760, -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -30. Let w = -0.3076 - -0.1076. Put -2\/15, w, n in ascending order.\nAnswer: n, w, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(8) + sqrt(32)) - (sqrt(420)\/sqrt(588) + sqrt(35)))\/(sqrt(700) + 3*sqrt(700) - (sqrt(84)\/(sqrt(12)*3) + sqrt(7) - sqrt(7))).\nAnswer: -sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 - 7*i**2 + 1 - 6*i - 15*i**2 + 72*i**2 + 80*i**2.\nAnswer: 148*i**2 - 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Give j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-1 - -1)\/(-1). Let b(z) = z**3 + z**2 - z. Let t(q) = -5*q**3 - 2*q**2 - 2*q. Let f(u) = w*b(u) + t(u). Find the third derivative of f(g) wrt g.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -163*p - 4074. Calculate f(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -268.79131.\nAnswer: 107.516524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*o = 1 - 5, -5*n - 4*o + 5 = 0. Let l = 5 - n. Suppose 30 = -2*r + 4*r + 4*u, -l*u = 20. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117721.14656 - 1?\nAnswer: -117722.14656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a week in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzzzzzh.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 14.9. Let y = v - 3.9. Let h = 37 - 42. Which is the nearest to y? (a) 1 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1557*m**3*n**3 - 23*m**3*n**2 + m**2*n**2 + 3*m**2 + 2*n**4 wrt n?\nAnswer: -9342*m**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 375113 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:06 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(84)\/sqrt(3) + sqrt(28))\/(sqrt(64)*-6).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k. Let d(m) = -10*m + 9*m - 25*m - 26*m. What is f(d(x))?\nAnswer: -156*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6278*i - 6282*i - 6285*i + 31405*i - 6279*i - 6283*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**4\/12 - 7*v**3\/6 + 4*v**2 - 2*v. Let m be 6\/14 + 477\/63. What are the prime factors of t(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 72*u + 25 = -26*u - 25*u, 5*u = 5*s - 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.45 and 9?\nAnswer: -31.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(7)*1)*-2)**2.\nAnswer: 16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, -3, 5, 4 in decreasing order.\nAnswer: 5, 4, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {u: 4, s: 3, g: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (36*21\/3150)\/((-2)\/15)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8439.576 micrometers to meters.\nAnswer: 0.008439576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 - -173. Suppose d*l - k = 2658 - 807, 6 = -2*k. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54120, 54121, 54122?\n\"Answer: f + 54119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1705 + -1705. Sort g, -5, -59, -2 in increasing order.\nAnswer: -59, -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47822, -47794, -47718, -47570, -47326, -46962?\nAnswer: -46454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5601851199.\nAnswer: 3, 7, 88918273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.277917*-39.\nAnswer: 322.838763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = 3*q, -2*q - 2 + 14 = 4*i. Let v(l) = l**3 + 9*l**2 + 4*l + 9. What is the remainder when v(-6) is divided by i\/3*-1*(-225)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12703176 divided by 69.\nAnswer: 184104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 2*q**2 - 3*q + 2. Let g be a(-3). Suppose -v - g*v = 0. Suppose v*s = 5*s + 5. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 3 in descending order.\nAnswer: 3, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3883 and 92470.7.\nAnswer: 96353.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {z: 4, f: 6, l: 3, q: 1, o: 4, t: 1}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 + 2*y**2 + y - 2. Let n be t(1). What is the units digit of (4\/(-16))\/(n\/(-144))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 30*x**2 - 50*x - 165. Let w be t(28). Which is smaller: 80\/19 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (-1 + sqrt(891)*-1 + (-2*sqrt(891) - sqrt(891))*4)**2) + -3 + 1.\nAnswer: -150581 - 234*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**3 + 21*r**2 - 25*r - 29. Let y(f) = 2*f**3 - 10*f**2 + 12*f + 14. Let g(o) = -3*s(o) - 7*y(o). What is g(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:16 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/15, 0.1, 2\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21707*j - 21224*j + 2266*j.\nAnswer: -40665*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 9*u + 3. Let b be f(6). Let r(w) = w**3 - 22*w**2 + 22*w - 25. Let h be r(b). Let k(a) = a + 1. Determine k(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32351)\/(-68)*(2 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 9. Let t = n + -24. Calculate the remainder when 307 is divided by t.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g + w - 246 + 527 = 201, -2*g = 4*w - 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -48102.0015?\nAnswer: 48102.2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -14. Suppose -7*p + 6*p + 9 = q. Suppose 0 = r - 5*n + p, 4*r - 60 = -3*n - n. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 387*g + 16101 - 7200 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.065 - -2.135. Let d = m + -0.07. Which is the nearest to -0.1? (a) -0.1 (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*r = -0*r + 21, 5*h - 24 = -3*r. What is the derivative of -5*b - h*b**2 - 102 - b**2 + 94 wrt b?\nAnswer: -8*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnnnwonnnwnwnw. Give prob of picking 1 w and 1 n.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/5 - 4539*i**3\/5 - 3554197*i**2\/5 + 4539*i\/5 + 3554198\/5 = 0.\nAnswer: -3533, -1006, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42564 * -12.\nAnswer: 510768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -29. Let z be ((-1)\/m)\/(2\/(-12)). Which is the closest to -0.1? (a) 0.1 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 524797484 by -4.\nAnswer: -131199371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6021.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -22*j + 1. Let q(f) = -91 - 89 - 21*f - 92 + 271 + 42*f. Calculate -5*q(b) - 4*z(b).\nAnswer: -17*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-81)\/(-15) - (-4)\/(-10). Suppose -8 = 4*l, 4*l = -p*b + 722 - 190. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 5:20 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n = -41 + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*r + 15730 = 5*h + 76*r, -3*h + 5*r + 9438 = 0. Calculate the highest common factor of 195 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 84?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 1:15 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 4*t**5\/15 - t**4\/6 + t**3\/2 + 8*t**2. Let m be c(1). Suppose -3*y = -8*y - m. Which is smaller: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**6\/15 + 263*v**5\/20 + v**3\/3 + 1369*v**2\/2 + 10*v - 24. Find the second derivative of g(l) wrt l.\nAnswer: -24*l**2 + 1578*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, y: 2, z: 3, g: 8}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 47\/29130952?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -244*h*r**2 + 8*h*r + 16*h - r**2 + 2937 wrt r?\nAnswer: -488*h*r + 8*h - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1 + 2*y)*(396*y - 598*y + 393*y).\nAnswer: 382*y**2 + 191*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 7, l: 3, i: 3, w: 2}. What is prob of picking 1 i, 1 l, and 1 w?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 46 = 2*x, x + 3*x = -3*b + 104. Suppose 5*f = 2*a - 1, 2*f = a + 6*f - 33. What is the remainder when x is divided by 2*(1 + a\/2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 98*g + 78*g - 39*g)*((5 + 4 - 16)*(2 - 2*g - 2) + g - 4*g + g).\nAnswer: -708*g**2 - 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1025*r*v**2 - 98*r*v - 2*r - 23*v**2 + v - 105 wrt v?\nAnswer: -2050*r - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13246956 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1058307 - -0.06.\nAnswer: -1058306.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 115, 280, 543, 922, 1435, 2100?\n\"Answer: 3*r**3 + 22*r**2 - 2*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*o - 23, -18*y - 3*o + 9 = -15*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29401 + -289?\nAnswer: 29178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d**3 + 24*d**2 + 12168*d + 6221076?\nAnswer: -12*d**2 + 48*d + 12168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-28)*16954\/6055.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*h**3*z**4 - 316*h**3*z**2 + 10*h**2*z - 405*h*z**6 - 3*h*z**2 wrt z?\nAnswer: 600*h**3*z - 48600*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1056\/144*1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 12597998*x**2 - 19838687902000*x - 19838700500000.\nAnswer: -2*(x - 3149500)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 + q**2 + q**2)*(q + 4 - 4) - 2*q**3 - 203*q**2 + 203*q**2 as s*q**3 + d + h*q**2 + n*q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (56\/(-32))\/((-1355)\/(-16)). Let i = w - 338554\/9485. Let u = -36 - i. Which is the third smallest value? (a) 5 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3767 + 3797. Solve -512*y = -507*y - v for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = f - 23, -2*l - 4*f - f + 13 = 0. Let h(g) = -2*g + 1. Let t(s) = s. Let y(r) = -3*h(r) - 7*t(r). What is the units digit of y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -4. Suppose 33 = 322*l + 33. Solve -z - 5*b - 1 = -6, -u*z + 5*b + 25 = l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15425251 (base 7) in base 9?\nAnswer: 2713851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 453962*j**4\/5 + 62506161736*j**3\/5 + 18444414816*j**2\/5 + 1814203872*j\/5 + 11896416.\nAnswer: 2*(j + 137690)*(61*j + 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h = 18. Let s be (1 + h\/6)*-4. Does 8 divide 1*s - (-8 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 3*q - 36. Let l be y(5). Find the third derivative of 46 - 14*x**4 - 8 - l + 7*x**2 + 0*x**2 + 224*x**4 wrt x.\nAnswer: 5040*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 4*r**2 - 3*r + 2. Let j be i(-3). Suppose 3*q - 40 = -j*q. Let d = 2 - 8\/5. Is d > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4022333 - 0?\nAnswer: -4022333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34068 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let d(v) = 9*v - 8. Calculate d(r(u)).\nAnswer: -9*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2352 + 2?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 434 + 448 = 15*c + 285, 0 = 11*x - 3*c + 1 + 72 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**7\/2520 - n**6\/144 + n**5\/24 + 5*n**4\/4 + 16*n. Let r(h) be the third derivative of c(h). Give r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 44*q**3 - 360*q**2 + 784*q - 544.\nAnswer: 4*(q - 2)**3*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)\/(17 - 20)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699158875 a multiple of 3137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(sqrt(1053)*-1 + sqrt(1053) + 4 + sqrt(1053))*4 + 3 + 2)**2.\nAnswer: 11880*sqrt(13) + 154657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23930*z - 23944*z + 481*z**4 - 474*z**4 + 3*z**3 - 5*z**2 in the form l*z**3 + w*z + o*z**4 + c*z**2 + a and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 6*s**2 + 6*s - 7. Let f be n(-3). Solve -f*k + 3*v = -1 - 0, 0 = -3*k + 4*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:51 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 23 = -l - i, 0 = 4*l - 5*i + 13. Suppose -l*q = -2*q - 211. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-71)\/2)\/((25\/(-10))\/5). Let v = 73 - w. Solve 3*n - 4 = v*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(209) + sqrt(209) + (sqrt(209) - -1*sqrt(209)*-1))\/(sqrt(11) + (sqrt(11) - sqrt(704)*1) - (sqrt(11) + (sqrt(66)\/sqrt(6) + sqrt(11))*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**3 - 1124*s**2 - 217*s + 17. Let m(t) = 2*t**3 + 3*t**2 - 3. Let g(k) = h(k) + 3*m(k). Find the second derivative of g(d) wrt d.\nAnswer: -12*d - 2230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (-18 - -19) - -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -89847 and -1176216.\nAnswer: -1266063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.04042.\nAnswer: -0.04042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 5*t - 1376 = 17*q, 5*t - 1416 = -4*q. Suppose -1115 - q = -6*u. Calculate the greatest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23079479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Put 1418, -1, -18, -2, -3 in ascending order.\nAnswer: -18, -3, -2, -1, 1418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = -2*u + 9139. Let d = u - 473. Calculate the highest common factor of 6 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 0. Suppose 0 = 6*y - 12 - 42. Let c be y*(-1)\/(-45) - (-1)\/5. What is the biggest value in -0.08, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let k(h) = -2*h**w - h + h**3 - h**2 + 0*h**3. Let q be k(-2). Solve -5*s = -4*z - 29, 0 = -z + 2*s - s - q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*g**3 + 3240100 - 3240100.\nAnswer: -70*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.5 + -19. Let q = 141\/742 - 5\/106. Let h(g) = -g - 1. Let y be h(3). Sort k, q, y, -1 in increasing order.\nAnswer: y, -1, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5114493.\nAnswer: 3, 47, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u - 16. Let d(x) = 2*x - 3. Let b(n) = -14*d(n) + 3*y(n). Let z be b(9). What is the highest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/2 of a hour?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -229*s**3 + 6467. Let i(t) = 3*t. Determine i(w(j)).\nAnswer: -2061*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2880) - 2*sqrt(2880))*6)**2 - -5*(1 + sqrt(20) + -5))*-5.\nAnswer: -518300 - 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-115)\/(-1)*1*-1. Let v = -68 - z. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 5*y - 11. Let s be u(-7). Find the third derivative of 11*v**2 + s*v**4 - 12*v**2 - 8*v**2 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4))**47\/(a\/a**7*a*a\/(a**0\/a)) assuming a is positive.\nAnswer: a**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 10*q**2 - 24*q + 28\/3*q**3 + 0 + 2\/5*q**5 + 4*q**4 - 2\/15*q**6. Find h such that g(h) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 6*t = 30, 149*g + 5 = 149*g - 5*t for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3270 is divided by 298.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -22. Calculate the least common multiple of 3 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -11 - 20 - (-19 + -3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-19)*((-49)\/7)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10a371 (base 11) to base 13\nAnswer: 61744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 8966.\nAnswer: 62762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1034256 and -19.\nAnswer: 1.9650864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -267.25196 to the nearest integer.\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + z + 10 = 0, 2 = -p + 4*z - 5*z. Let s be (p + 1)*1\/(-4). Let t = -2 - -1. Do s and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 19*z - 4. Let d be c(5). Let x = d + -19. Suppose -24 = -5*g + 3*v + 22, v = 3*g - 26. Calculate the highest common factor of g and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20381 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 - -0.66.\nAnswer: -95.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 105541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*d + 10. Suppose -p + 8 - d = 0. Let y be ((-45)\/(-20))\/(p\/16). Calculate the highest common divisor of y and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154161 divided by -9\nAnswer: -17129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 28 + -1 - -16) + -75?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 170?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-11 + -2 + -7 - -15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*g**3 + 0*g + 2\/5*g**4 + 0 + 38\/5*g**2.\nAnswer: 2*g**2*(g - 19)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 99 (b) -1\/7 (c) 14 (d) -0.4 (e) -1 (f) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26153634, -26153632, -26153630, -26153628, -26153626?\nAnswer: -26153624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.115 - -1.363. Let i = j - 1.2. What is i rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2695 and -43\/2695.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1134*n - 1616*n**5 + 1045*n**5 + 1375*n**5 wrt n.\nAnswer: 16080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 27*w - 14. Let j be b(-14). Is j less than 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-36)*(-120)\/75?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17725 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -4*d. Let u be (d - -2) + (-21)\/3. Suppose -r = -3*k + 4, -6*k = -10*k + 4*r + 8. Sort -4, k, u.\nAnswer: u, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = -0*f. Suppose 2*a + a = -5*x + 13, -3*a - 37 = -5*x. What is the closest to 2\/7 in a, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.976 + -0.024. Is -1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 100.15, -4, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 1.1. Let d = 3.06 - 0.06. Let o = 2.6 - d. Which is the closest to -1? (a) o (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 7. Suppose 0 = 16*y + 76464 - 76144. Let d(f) = f**3 - 5*f**2. Let w(l) = l**2. What is y*w(s) + z*d(s)?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqo when four letters picked without replacement from {o: 9, q: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 44, 25, 6, -13?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-4)\/8 - (-162)\/(-36). Let v = 211\/714 - 1\/102. Sort -1\/3, 1, v, h in decreasing order.\nAnswer: 1, v, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(((-1)\/5)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*c**3*h**2*x + 229*c**3*h**2 - 8*c**3*x + 20*c**2*h*x + 2*c**2*h + 55*c**2*x - 3*c + 12*h**2*x wrt c?\nAnswer: -810*h**2*x + 1374*h**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (-5 + 2*sqrt(1539)) - 1*sqrt(1539)*4)**2 + 5 + (2 + (sqrt(1539) - (-3 + sqrt(1539)))*-1)*-1.\nAnswer: -450*sqrt(19) + 38506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05193 + 663.\nAnswer: 663.05193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 933034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 57, 48, 39, 30, 21?\n\"Answer: -9*m + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2722 - -4490. Find the common denominator of 1 - s\/(-1392) - (3 - 0) and -143\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/5 of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 284 and 442756?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 0.486, -5\/2?\nAnswer: 0.486","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1595*p**2 + 1492*p**2 - 103 + 103.\nAnswer: 3087*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 3*s - 4*s**2 + 13 - 2*s - 4 - 2*s**3 as j*s**3 + b*s + p + k*s**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(175)*-2 - sqrt(175)) + -2)**2*-1.\nAnswer: 120*sqrt(7) + 3158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) -0.2 (c) -2156 (d) 4.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 6. Let p be d(12). Let w(l) be the third derivative of 1\/96*l**4 + 0*l + 1\/120*l**5 + 0*l**3 + 0 - l**2 + 1\/480*l**p. Factor w(j).\nAnswer: j*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccxx when four letters picked without replacement from {x: 2, c: 8, h: 5}?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p - 1991. Let c(n) = 3*n + 999. Determine 5*c(l) + 2*z(l).\nAnswer: -3*l + 1013","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 12:04 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7339 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64 + (-10)\/((-15)\/3). Suppose 5*u = -0*i - 2*i + g, -3*u = 3*i - 36. Differentiate 21 - u*p + 14*p + 8*p wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88924 is divided by 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 8*o + 3. Let t be d(8). Suppose w + 1 = -n - 0, -23 = -2*w + t*n. Suppose -5*p = 3*u - 10, 0 = -5*u - p - w*p + 30. Solve -3*j + 4 = u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*b + 85 - 50, -5*b - 20 = -2*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 1:04 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 85 in 24768, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 467 (b) -5 (c) -2\/11 (d) 0.5 (e) -3 (f) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83434 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**2 - 5 - 1 + 2*y + 4 - 3*y**2 in the form g*y + h + m*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 284\/(-639) - (-1)\/((-9)\/(-6))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 238 - 217 = 0. Solve 8*j = n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*10 - (16 - 18). Suppose -n*h + 8*h = -316. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -99, 5, 4.\nAnswer: -99, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63285 + 63284.9974027. Round f to five dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 25*d + 92. Which is the smallest value? (a) -26 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 190*f + 768. Calculate l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 p when four letters picked without replacement from {a: 2, p: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 2. Let i(v) = -119*v + 35. Let k(r) = 35*g(r) + 2*i(r). Let d be k(-2). Let q = 12 + d. Does q = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q. Suppose 2*l - 3*k - 11 = 0, 4*l + 4*k - 4 + 12 = q. Let r(t) = 23*t**3 + 2*t**2 - 1. Is r(l) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516 = -135*x + 264*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11681, -11680, -11679, -11678, -11677, -11676?\nAnswer: -11675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 139, 133, 125, 115, 103?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 0*q - 66. What is the hundreds digit of -4 + q + 522 + (0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s - 2. Let m be x(-4). Let w be ((-9)\/m + 1)*-10. Put -5, w, 4 in increasing order.\nAnswer: -5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l + 2. Let o = -71 + 73. What is r(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -139. Calculate the common denominator of (-1 - r)\/(-16)*1032\/430 and 99\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 89660900.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8246043 to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*z + 71 = 0, 2*x = 56*z - 930 - 80 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/10 - n**4\/4 + n**2. Let w(c) be the third derivative of -c**5\/60 + c**4\/24 - c**2. What is -2*m(x) - 14*w(x)?\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -2) + (53 - 43 - (-4 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 7?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 128 = b - 12, -b - 228 = 5*f. Let i be (-29)\/87 + f\/(-174). What is the third smallest value in i, -2\/9, 1, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45187216, 45187217, 45187218?\n\"Answer: t + 45187215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*a - 3*o + 42, -7 = -a - 3*o. Let t be (-2)\/a - 213\/(-12). Calculate the greatest common factor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10*l**(-2\/9)\/l)**(-12) assuming l is positive.\nAnswer: l**(-316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (217 - 3 - 1) + -6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Suppose 0 = j*p - 48 - 6. What is the remainder when p is divided by 9\/(-6)*14\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121596331963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -49.465 times 31\nAnswer: -1533.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -273.5, 2, 5, -336 in ascending order.\nAnswer: -336, -273.5, 0.08, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3268 times 0.2?\nAnswer: 653.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 2, r: 1, p: 1}. What is prob of sequence erf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21955399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1. Let f(y) = y**2 - 5. Suppose -4*i = -3*i - 10. Let n(p) = i*j(p) + 2*f(p). Let b(x) = 15*x. What is n(b(q))?\nAnswer: 450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 198*w**2 + 974*w + 1626. Determine l(-193).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*((-288)\/(-20) + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3 = 2*r + 1, 5*j = 3*r + 6. Find the second derivative of 2*d - 3*d**4 + 0*d + j*d**4 + 0*d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (-13 - -17 - -23)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4271423 - 4601*p - 4271423 + 4604*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 470477.8621 to the nearest one thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3 (c) -2\/7 (d) 5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 112*r**2 + 106*r + 559. What is s(111)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 159 + 183 = 4*j + 141*f - 153*f, 0 = -2*j + 2*f + 56 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -248.7*-0.06\nAnswer: 14.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7606375613.\nAnswer: 47, 53, 64969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvv. Give prob of sequence pv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -21*t + 12. Suppose 17 + 3 = -4*k + 4*b, 25 = -t*k + 5*b. Sort k, -6, -1, 2 in increasing order.\nAnswer: -6, -1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 109188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2\/3, 5, -4, 2\/7 in increasing order.\nAnswer: -4, 2\/7, 2\/3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + 2*sqrt(133)*-2)) + -3*sqrt(133)*-1)\/(2*(3*sqrt(847) + sqrt(847))).\nAnswer: 7*sqrt(19)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 880?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21141*f - 21604*f + 9260 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 6. Let z(n) = n**2 - 5. Let j(i) = 5*p(i) - 6*z(i). Let t(a) be the second derivative of -a**3\/3 + a. What is j(t(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 111\/12 + 2\/(-8). Suppose y*q - 2*x = 769, 4*q = 4*x + 477 + 143. Let n be (4 + -3)*104 - 2. What is the highest common factor of n and q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Suppose h*k + 6 = 15. Let t = 45 + -38. Solve 3*i + 2 = 4*n + 3, k*n - i + t = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2750621 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 - (-1 + -2)*(20 + -19) is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -49*k - 546. What is the remainder when i(-14) is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4579227 and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 563 - 713 = 0. Factor -32*b**2 - 6 - 9 + 2*b**3 - 13 - 4*b**3 - a*b.\nAnswer: -2*(b + 1)**2*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - x + 2. Suppose 6*u - 49 = 53. Suppose 0 = -m + u - x. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 11.19.\nAnswer: 11.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*q + 27*q + 2 - 77*q + (-4*q + 5*q - 2*q)*(2 - 1 + 1).\nAnswer: -13*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7231?\nAnswer: 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*(-6)\/27 - 187\/(-612) and -85\/166?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-84)\/140 - 3\/(-5). Let x(v) be the second derivative of -4*v + a*v**2 + 1\/42*v**4 - 2\/21*v**3 + 0. Factor x(b).\nAnswer: 2*b*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-396)\/(-33) + -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 3*o**2 + 150*o**3 - 10*o**3 + 82*o**3.\nAnswer: 222*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12*n - 104. Calculate the remainder when z(-10) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 7*g**2 - 7*g + 5. Determine u(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*b**2*j**2 + 1234*b**2 - 38*b*j - 5*j**2 + 141151 wrt b?\nAnswer: 34*b*j**2 + 2468*b - 38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lla when three letters picked without replacement from {a: 1, k: 4, l: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4669955902 to the nearest integer?\nAnswer: 68337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 20*b + 20. Calculate o(20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503 is divided by 103.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 8220.\nAnswer: 73980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.405566 times 4\nAnswer: 1.622264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((11 - (-1 + 17)) + 0 + 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 511 = -3*d + 216, 0 = -2*d - 7*o + 513. What is the remainder when d is divided by 43?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*m - 50 = 187, -3*w + m = -222. Suppose t = -2*t + w. Suppose 5*s = -0*s + t. Solve s*h + 5 = -0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250 (base 7) to base 12.\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:54 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*r + 202*r = 360*r + 11082 - 3153 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-27)*21\/70.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -30. Suppose b = -b + n. Let m(u) = 0 - 5 + u**2 + u - b*u. Give m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15497 bigger than 15497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 429 = -3*p - 436, p + 2*y + 14 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1200, 2406, 3612, 4818, 6024, 7230?\nAnswer: 8436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 1. Suppose 5*b + 3*f - 8 = 0, -2*f = -7*b + 2*b + 3. Calculate i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q + 3. Let p be 11 + -10 - (-4)\/(-2). Is 16 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 158307483 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201705, -403408, -605111?\nAnswer: -806814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(13) - -6*sqrt(117) - 3*(sqrt(13) - (-1 + sqrt(13)))) + -5)**2*-4.\nAnswer: -18968 + 1064*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**3 - 39547960*g**2 - 158191924*g + 197739880 = 0.\nAnswer: -5, 1, 9886994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 + 20*f**2 + 21*f - 93. Let o be x(7). Which is the nearest to -6\/11? (a) -2\/9 (b) -0.3 (c) o (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*s + 28 = -2*o, 2*s = -o + 16. Suppose 4*y = s*y - 1848. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 1. Let u = -0.131 - 3.869. Let b be (-78)\/(-144) + (2\/3)\/(-1). What is the nearest to b in u, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -2*x - 7*x. Calculate the greatest common factor of 8119 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:19 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8092 + 7525 = -27*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -806, 3, 4 in descending order.\nAnswer: 4, 3, -2, -806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 19*o - 1. What is r(19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/6*(-1230)\/1435. Solve 225*i - 5*k = 224*i, 4*k = x*i + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0183 * 2\nAnswer: 0.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -297. Suppose -2*l + 210 = 5*h, l - q = -0*l + 4*h. What are the prime factors of l?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - 4*u)*((13*u - u - 2*u - 2*u + 4 - 4 + (2*u + 0*u - u)*(0 - 2 + 4) + 2*u - 3 + 3)*(1 + 2 + 1) + (0*u - u + 4*u)*(0 - 9 - 4) + 3 - 2*u - 3).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -72. Let x be 18\/(-15)*1*10\/(-4). What is the third derivative of t*p**6 - 17*p**2 - 4*p**4 - x*p**6 + 4*p**4 wrt p?\nAnswer: 3240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 8*s + 12. Suppose 13 + 23 = 4*h. Let i be w(h). Suppose 3*o - 19 = -4*d, d = 5*o - i*d - 21. Calculate the highest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8. Suppose 2*t - 4*k = 0, m*k - 4*k + 24 = 4*t. Solve t*p + 0 = 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491aa (base 13) in base 2?\nAnswer: -100000110010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74a3 (base 15) to base 11\nAnswer: 175a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2222 = 184*y - 1274 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 - (-2 + -1))*-3. Let s be (-1)\/(-4)*-2*0. Suppose s*m + v = 3*m. Calculate the smallest common multiple of 8 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38a1 (base 13) to base 10.\nAnswer: -8074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f + 26. Let o = 57 + -57. Calculate the remainder when 75 is divided by p(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*z**2 - 1187*z + 129*z**2 + 127*z**2 - 793*z - 326700 - 384*z**2.\nAnswer: -3*(z + 330)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 888982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4bd7e (base 15) to base 2.\nAnswer: -111011001111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/(2\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -101*h**4\/6 + h**3\/6 + 49*h**2 + 233*h. Differentiate i(f) with respect to f.\nAnswer: -404*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:54 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88657, 88651, 88645, 88639?\nAnswer: 88633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x + 38 = 3*g, -10 = -3*g - 5*x. Let o be -1 - (-7)\/(7\/g). Solve -4*v - 7 - o = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1141 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 8*d**2 + 468*d. Let f be s(26). Solve -5*v = 4*m - 2, -19 = -3*m + 5*v - f*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 + a?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(189))\/sqrt(9))\/sqrt(3).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -105457*i + 213457*i - 99340*i as g*i + q and give g.\nAnswer: 8660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15686.5*0.07\nAnswer: 1098.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.9 + 16.4. Which is the closest to 0.1? (a) p (b) 0.4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 2*p**2 - 4*p - 1. Let g = -14 - -16. Suppose -5 = -g*i + 1. Determine z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 - 8*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1632 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 + -4 + 6. Let u = 10 + -7. Find the second derivative of 3*d**u - 4*d**3 - 4*d - 3*d**3 + 6*d**s wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19406 + -15637. Calculate the remainder when i is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nknknknn. What is prob of picking 2 k and 1 n?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02835 - -6.97165. Let w(y) = -y**3 - 5*y**2 + 6*y - 4. Let f be w(-6). What is the closest to 2 in 0, l, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85? (a) 2\/9 (b) 3\/5 (c) -1 (d) 1 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3, 2\/63, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1214, 4847, 10908, 19403, 30338, 43719?\n\"Answer: t**3 + 1208*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 192 = 4*c - 0*l, 4*c + 3*l - 188 = 0. Let h = c - -12. Suppose -h*o = -65*o + 210. Calculate the greatest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -104, 194, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:00 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*f = -0*i - 5096, 0 = 3*i - 3*f - 5103. Suppose n + i = 5*c - 3*n, 0 = c - 4*n - 340. List the prime factors of c.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3366.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:08 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9006 divided by -11.\nAnswer: -9006\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -13*w - 5*j + 2297, 3*j - 3059 = -4*w. Let d be w\/(-86) + 34 + -25. Is d >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-6)*(-6235)\/172 and -71\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 128453520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2764, 8, -2, -4, 4, 1, -3 in increasing order.\nAnswer: -4, -3, -2, 1, 4, 8, 2764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2988 + -26822\/9. Calculate the common denominator of m and ((-33)\/(-22))\/((-4)\/18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**4 + 1376*q**3 - 2*q**2 + q - 911 wrt q.\nAnswer: -48*q + 8256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-12)\/16*(-6)\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**17)**(-17) assuming c is positive.\nAnswer: c**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/40 + w**5\/60 + 15*w**2. Let b be x(-1). Suppose -b*y + 71000 = -2*y. Round y to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12*l + 33. Let c(o) = 3*o + 8. What is -21*c(h) + 5*q(h)?\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-5) + 2*(-3)\/(-6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 2, g: 1, t: 1}. What is prob of sequence kt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**3 + 244*c**2 + 273*c - 26. List the prime factors of r(-59).\nAnswer: 3, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*q**3 - 24*q**3 + 6*q**3)*(16*q - 8*q + 15*q + (0 + 1 - 2)*(0 - 4*q + 0)) to the form k*q + f*q**4 + a + x*q**2 + o*q**3 and give f.\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*g + 19486, 0 = -2*g - 5 + 13. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 29*s**2\/3 - 224*s\/3 + 196\/3.\nAnswer: -(s - 14)**2*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*(-42)\/216)\/(167\/(-56) - -3). Which is the fourth biggest value? (a) -0.2 (b) 5 (c) m (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + v**2 - v + 1. Let j(p) = -9*p**3 + 6*p**2 - 4*p - 13. Give 6*f(o) - j(o).\nAnswer: 3*o**3 - 2*o + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -389 <= -390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216 - 404*x**2 + 404*x**2 + x**3 + 5*x - 216 to the form z*x + p*x**2 + f + a*x**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = 5*t - 2*k, -3*t + 25 = -5*k + 185. Let f be ((-75)\/t)\/((-30)\/(-4)). What is the closest to -1\/3 in f, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02902952719 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -696*f**2. Let q(h) be the first derivative of -1\/2*h**2 + 0*h - 121. Calculate q(u(d)).\nAnswer: 696*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11.3 (b) -10 (c) -19 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i + 6 = 0, -2*i + 12 = -4*o. Put o, -40, 2 in ascending order.\nAnswer: -40, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + (8 - 11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1319*s + 2674*s - s**2 - 1355*s. Let h(a) = 407*a**2 + a. Determine z(h(w)).\nAnswer: -165649*w**4 - 814*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -8. Suppose -h*r = -6*r. Suppose r = 3*a - 1881 - 1326. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*t - f = 800, -5*t = -4*t + 273*f - 278*f - 10 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 1430 - 1303 = 307. Calculate the remainder when g is divided by 89.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -17) + (16 - (6 - 3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.53 + -1.53. Is -64 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 43*k + 33)*(12*k**3 - 2*k**2 + 2*k**2).\nAnswer: 516*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -156 - (49 + (-56 - 1) - -2).\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = n - 9 - 23, 0 = 4*n + a - 137. Suppose 16*f - 29 = n. Solve 2*h + 8 = -3*w + 1, f*h = -2*w - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120727 - -120731. Factor 1\/2*c**s + c - 1\/2*c**2 + 0 - c**3.\nAnswer: c*(c - 2)*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 1 = -5*h. Let r = -0.3 + 0.5. Which is the nearest to h? (a) -2\/17 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226.187 + -0.5\nAnswer: -226.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -121669.049*-4\nAnswer: 486676.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -17*s + 1. Let m be p(2). Let o be ((-2)\/(-1))\/(3\/m). Let b = o - -31. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2116.6 to the nearest 10.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 3:11 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1182 * 108182\nAnswer: -127871124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**4 + w**3 - w**2 + w. Let m(y) = 32*y**4 - 3*y**3 + 3*y**2 - 4*y + 2. Let g(k) = -m(k) - 3*n(k). What is the second derivative of g(d) wrt d?\nAnswer: -348*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, r: 6, x: 1}. Give prob of sequence bb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u - 1. Let n(l) = l - 12. Let w be n(u). Suppose -2*p = 10, 0*s - p = 5*s - 15. Sort s, w, -1 in ascending order.\nAnswer: w, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/15 or 280367\/3?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -221*f + 5562 + 85 + 541 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145297626 + 0.4.\nAnswer: 145297626.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1259 equal to -6296\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 2\/7 (b) 101\/4 (c) 8 (d) -4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27866535?\nAnswer: 3, 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*i + 68*i - 105 = 0. Solve 24*n = i*n + 18 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38644 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 0*i**2 + 5*i**2 + 4*i - 2*i**4 - 17*i**3 + 13*i**3 to the form r + u*i**3 + n*i**4 + v*i + b*i**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*h + 3\/4*h**2 + 0.\nAnswer: 3*h*(h + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286112651 to the power of 1\/2, to the nearest integer?\nAnswer: 35862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7878, -7877, -7876, -7875, -7874, -7873?\n\"Answer: u - 7879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2\/(-33))*1. Suppose -8 = 5*p - b. Suppose -5*d - 2*v + v + 29 = 0, -3*d - 5 = -p*v. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 5*i + 10 = 0. Let d(h) = -h**3 + h**2 + 2*h - 1. What are the prime factors of d(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 + -51 + 0 + 1 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 12*r + 396. What is the greatest common factor of 132 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6138 divided by 9?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 35*w + 4*w**3 - 37*w + 0*w**2 - 2*w**2. Let q(v) = -8*v**3 + 5*v**2 + 5*v. Give -5*j(b) - 2*q(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 7*c - 3*z = 40, 4*c + 3*z = -35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6150204*k**4 - 3605300*k**2 wrt k?\nAnswer: 147604896*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -12 - (-3075)\/235. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 at most -1089\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16094 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626*s + 4*h - 12 = -1628*s, 0*s = 4*s - 2*h + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, j: 11}. What is prob of sequence jjgj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 155, 149, 97, -25, -241, -575, -1051, -1693?\n\"Answer: -4*y**3 + y**2 + 19*y + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**3 + 2676*a**2 - 2680*a = 0.\nAnswer: -670, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Suppose 17 = 4*o - 4*a + h, 2*a = -4*o + 16. Calculate the remainder when 27 is divided by (o + 9\/(-3))*14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2203*i + 6602*i - 2055*i - 2119*i + 4725 = 0 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 10 + 3399\/(-132)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3202 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + sqrt(180)*4)**2 + sqrt(180) + -4).\nAnswer: -5760 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(4\/3)*x\/x**(-4))\/(x*x*x**5*x*x)**(2\/59))**17 assuming x is positive.\nAnswer: x**(16133\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 2*y**3 + 3*y**3)*(-131*y**2 + 745*y**2 + 1547*y**2).\nAnswer: 6483*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 152?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 18*c = 16*c + 28, -5*c = -25. Solve -5*m + 3*h + 3 = -z*m, 0 = m - 5*h - 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 164.\nAnswer: 1\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2956893?\nAnswer: 3, 985631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2 + 2*u + 2*u + 2 - 2 + (-1 + 2 - 3)*(u - 3*u + 0*u) + 1174 - 24*u - 1174 + u + 0*u - 2*u.\nAnswer: -17*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 5*v - 5*v)*(-v**2 + 0*v**2 + 5*v**2).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146192.\nAnswer: 2, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.7782 - 12.7782. Let k = 8\/33 - 2\/99. What is the third smallest value in -3, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10084 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-7) + 1298\/42. Let z = w - 32. Let i = 172.18 + -172. Which is the second biggest value? (a) -0.5 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 21*j + 172. Let m be u(-8). Find the third derivative of -m*f**4 - 23*f**3 - 29*f**4 + 23*f**3 - 47*f**2 wrt f.\nAnswer: -792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2818 divide 6024884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 526\/56 + (-1)\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.23 in 0, 4, -0.3, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-7.93.\nAnswer: 111.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/4 + 2*j**3 - 2*j**2 - 23*j + 10474. Determine q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2. Let g(k) = 109*k - 4. Let x(z) = -7*z - 1. Let y(n) = g(n) - 4*x(n). Give u(y(b)).\nAnswer: -56307*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 284144 and 14866992.\nAnswer: 877152528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1105\nAnswer: 4420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 + 33. Is 11 a factor of (19\/5 + -3)\/((-1)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 13 + 7. Let v = a - -15. Suppose 17 + 5 = -p - 5*k, -v*p - 4*k = 5. Solve -p*o = 3*n + 12, -1 = -2*o - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l = -21*l - 18. Solve 2*h - 9 = -5*o + 10, -3*o - 3*h + l = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*w - 159, 0 = 4*w + 33 - 21. What is the remainder when 83 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4863 is divided by 448.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 6. Let k be (-20)\/(-2)*(31 - 3). Let m = k + -234. What is the highest common divisor of m and l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -6. Suppose h*r - 14 = 2*a, 5*r = 2*a - 3*a + 35. What is the third derivative of 5*y**3 - 5*y**3 + 2*y**2 - 2*y**r wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h + 3. Let g be h - (-1 + 0)*1. Let v be 19\/4 - 70\/40. Is v greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 + 2*i**4 + 0*i**4)*(-1 + 2 - 3)*(158*i + 204*i - 281*i).\nAnswer: -162*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*n**2 + 24*n**2 + 67*n**2 + 8*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 75?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + -6.86. Let w = -0.015 - 0.485. Which is the nearest to 0? (a) f (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/20)\/((-6)\/24))\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0*p + 1\/12*p**5 + 25\/24*p**4 + 27*p**2 - 1\/24*p**6 + 0 + 5\/2*p**3. Solve c(k) = 0 for k.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 7 = 25 + 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**7\/210 - 583*f**5\/60 + 181*f**4\/6 - f**2 - 220. What is the second derivative of w(q) wrt q?\nAnswer: -12*q**2 - 1166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*l**3 - 24*l + 202*l**3 + 24*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = -3*j + 4*j + 2*y, -5*j + 1221 = -3*y. Let c = 131 - j. Is 499\/(4*-1*4\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 + 4*z + 3. Is q(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 20.7?\nAnswer: 6.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-48))\/(5\/12))\/(76\/20)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -357 - -367. Suppose 0 = -q*u + 13186 - 986. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 417 = -2*l - 89, -127 = -y + l. Calculate the greatest common divisor of 96 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -1.8316.\nAnswer: -5.8316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 4 + 18 - 1)*(-3 + 3 - 1)*(-4 + 0 + 2).\nAnswer: -12*a + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*x + 117*x - 2345 = 332*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 2 + 5)*(-5*c - 10*c + 16*c) + (-12 - 11 + 8)*(0*c + 5*c - 2*c))*(-3 - 2*c**3 - 2*c + 3).\nAnswer: 94*c**4 + 94*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s**3 - 3*s**2 - 6*s - 2. Is y(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.3 + 0.5.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.027, -45, 2, -7, -1\/8 in decreasing order.\nAnswer: 2, 0.027, -1\/8, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1900) + sqrt(1900))*-4 + 0)*-1)**2.\nAnswer: 640*sqrt(19) + 121616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/(-26))\/(-1*3\/6). Let k(r) = -3*r**3 - 3*r**2 + r - 3. Let u(b) = b**2 - b + 1. Determine h*k(g) - 3*u(g).\nAnswer: 3*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 5:13 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 310223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 2 - 0)*15\/3. Let l be (-14)\/(5\/m*-5). Are l and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/312768 and 19\/6568128.\nAnswer: 6568128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s + 65 + 31 - 127 + 31 - 5*s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let y = -71 + 66. Let m(w) = 6*w - 5. Suppose 28 = 9*q - 16*q. Let i(d) = -5*d + 4. Let o(p) = q*m(p) + y*i(p). Give o(r(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 485*k - 1. Let w(u) = -5*u - 631. Calculate w(b(o)).\nAnswer: -2425*o - 626","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1440)*1)\/(sqrt(72)*2*6))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.8. Let n = 0.37 + 0.03. Let b = n - y. What is the second smallest value in b, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 divided by 15?\nAnswer: 146\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*l - 309872 - 490857 = -85068. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87 or 91449\/1051?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2195 - 2286. Let m = 94 - 93.7. Sort b, m, 2\/11, 1\/5 in decreasing order.\nAnswer: m, 1\/5, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 30*y - 1. Let f be z(1). Let q = 64 - f. Let o be (-2 - q)\/(-1) - 2. Solve 10 = 5*t + o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*z + 444*z - 225*z - 4080 = 0 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-320)\/(-8))\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 172*i**2 - 356*i - 180.\nAnswer: 4*(i - 45)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/16359 and 86\/49875?\nAnswer: 2044875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + 12 + 3 + (33 - 51)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 2)*(-2 + 2 - 1)*(-131*x**4 - 14*x**5 + 131*x**4).\nAnswer: 56*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2800 and 800.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2523\/4 + 5085\/8. Let i = -32097 + 1283573\/40. Let p = v + i. What is the common denominator of 7\/10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2184*j - j**3 + 2*j**3 - 2*j**3 - 2184*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:45 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 222894192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-6))\/(8544\/12816)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 62\/(0 + 1 + 1). Suppose d = 2*m - 2*d - 1, 2*d - i = -5*m. Let q(h) = -h + 13. Let g(b) = 6. Determine m*g(f) - 2*q(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-188160)\/(-168))\/280)\/(4\/30).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 10 in descending order.\nAnswer: 10, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, -4, 32.64 in decreasing order.\nAnswer: 32.64, 4, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 235 + 112. List the prime factors of b.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 41 - 11 = 0. Let -1777 + 82*w**2 + 5*w**3 + 1717 - f*w - 22*w**2 = 0. Calculate w.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, 12, 32, 50, 60?\n\"Answer: -n**3 + 8*n**2 - n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmbwqmgj. Give prob of sequence wwm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 930 = 8*p. Calculate the remainder when p is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3, -3*z - 4*r + 0*r + 2430 = 0. Let t = 816 - z. Solve 4*i + 12 = 2*d, -t = d - 2*d + i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 19*t**2 - 100*t + 128.\nAnswer: -(t - 32)*(t - 4)*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 6*j**2 + 4*j - 3. Suppose -4*d - 6*t + 21 = -3*t, -2*d = -5*t + 9. Suppose d*f = -0*f + 18. What are the prime factors of z(f)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/154)\/(-9*(-2)\/(-14)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189.9 + 208. Let n = z - 18.3. Which is the nearest to -2\/3? (a) n (b) 0 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2*(-54)\/1728?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -5, -187.237, -10.\nAnswer: -187.237, -10, -5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.29 less than 0.067371?\nAnswer: -100.222629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*q**6 - 5334*q**4 - 45*q**3 - 902866104*q**2?\nAnswer: 10440*q**3 - 128016*q - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149*z**3 - 1166 + 1166)*(-z + 2*z - 7 + 6)*(2*z - z + 2*z) + (-z**3 + 3*z - 3*z)*(0 + z**2 + 0) - z**5 - 2*z**5 + z**5.\nAnswer: -450*z**5 + 447*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*t - 2, q - 5 = -5*t + 3*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**5 + 564*v**4 + 19436*v**3 - 42436*v**2 - 742944*v + 2258368 = 0?\nAnswer: -71, -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(45\/(-24))\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78476 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-20)\/(-5) - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-1565818\nAnswer: 93949.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**(-2)*b*b)\/b)**(-18)\/(b*b**(-3\/8)*b**(-8)))\/((b\/(b*(b**(-2\/3)*b*b)\/b*b))\/b**(1\/8)*b**(-1\/2)\/b*b**(2\/9)) assuming b is positive.\nAnswer: b**(-71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 8 - 2. Let n(f) be the third derivative of f**4\/24 + 2*f**3\/3 - 2*f**2. What is the units digit of n(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48 and -47\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64759 or 64758?\nAnswer: 64759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x - x**2 + x + 5 - 7*x. Let h = -2 - -6. Calculate b(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(4\/(-20)))\/(11 + -2 + -7). What is the nearest to -2\/3 in 0.1, s, 1.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 7) to base 2.\nAnswer: 1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8797 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -21*b**5\/5 + 2*b**2 - 59*b + 56. What is the second derivative of r(m) wrt m?\nAnswer: -252*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6806 + 1771 = 19*f - 72*f. Calculate the least common multiple of f and 355.\nAnswer: 6745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*z - 141*z - 219079*z**3 + 219075*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:18 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 4. Let j be f(-2). Let x = -10 + 10. Suppose j*t + 0*t - 18 = x. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 33*r**2 + 53*r + 1. Is l(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide -1 - (-2827)\/3 - (0 - 54\/81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 3. Let r be g(-10). Suppose -2*j = 3*s - r, -4*s - 9 = -s. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 0. Let x = 6 - q. Let k = x + -0.4. Round k to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 13. Let j = -1.3 - -6.3. Let d = o - j. What is the nearest to -1\/2 in -1, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*102\/816*1032?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 q when three letters picked without replacement from qqxbqqbxb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -15*q**5\/4 - 1915*q**4\/4 - 19010*q**3 - 222090*q**2 + 613700*q - 179180 = 0.\nAnswer: -62, -34, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((u\/(u\/((u\/((u*u*u**(-2\/35))\/u))\/u)))\/u)\/u)\/u*u)\/u)\/u*u*u*u*u\/(u*u*u**(-35)))\/(u**18\/(u*u**(-3\/7))) assuming u is positive.\nAnswer: u**(512\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31784, 42451, 53116, 63779?\nAnswer: 74440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 4*v + 12*v**2 - 24*v**2 + 11*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/87, -2, 4, 0.234, -3\/4, -0.6, -0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5208, -7024, -8840, -10656, -12472?\nAnswer: -14288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -284101 (base 10) to base 7.\nAnswer: -2262166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -16*v + 28*v. Suppose -v*z - 96 = -3*m + z, 3*m + z - 84 = 0. Is m smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6617 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 626 + -226. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, k: 1, v: 4, s: 4, y: 1, z: 4}. What is prob of picking 1 k and 1 y?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*w + 5 = -86*w. Suppose -6*r + 25 = -w. Let a(d) = -d**3 + 11*d**2 - 9*d - 5. Let n be a(10). What is the greatest common factor of n and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, j: 1, v: 2, r: 1, k: 7}. What is prob of sequence kvjv?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 1273350.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14531 + 1051*o**2 - 7266 - 7265 + (1 - 1 - 2*o)*(-3*o + 0*o + 2*o) - 3*o**2 + o**2 + 3*o**2 in the form k*o + w + i*o**2 and give i.\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3934 + 2.3934. Which is the closest to 0.07? (a) 2 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, -3*q = -y - q. Let l(u) = u + 223. Is l(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-150\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 4 + 2*d - 2*d - d. Is k(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*y**3 + 566*y**3 + 352*y**3.\nAnswer: 1395*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -240.4 - -210. Let y = o + 30.6. Which is the smallest value? (a) -2\/23 (b) 23 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 516959 + -516957.999996. Let t = b - 1. Round t to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 40, -4, -7625 in decreasing order.\nAnswer: 40, -4, -6, -7625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -13. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*t - 8. What is the smallest value in -5\/6, t, -1\/7, 2\/9?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14192 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -939 divided by 167\nAnswer: -939\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/5, -3679, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 52. Let c(l) = 2*l**2 - 15*l + 17. Let s(r) = -r**2 + 7*r - 8. What is y*s(a) + 6*c(a)?\nAnswer: -a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 54*a**2 - 243*a - 324.\nAnswer: -3*(a + 3)**2*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/8*2 + 3. Find the second derivative of -3*p**4 - 4*p**2 - 11*p**3 + a*p + 12*p**3 + 4*p**2 + 2 wrt p.\nAnswer: -36*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 2402421151?\nAnswer: 2402421131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 27*a + 341 = -6*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 194810 and 752675.\nAnswer: 16558850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -192130?\nAnswer: -1\/96065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c3542 (base 15) to base 6.\nAnswer: -113452042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.14 + 0.17. Let v = 0.9811 + d. What is v rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.014 + 0.086. Which is the second smallest value? (a) -0.08 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*i**2 + 104*i**2 - 9 - 53*i**2 - 87*i**3 wrt i?\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 9 = -2*c, -2*c = 5*b - 21. Suppose -6 = -2*s, -3*s + s = -z - b. Suppose 82 = z*t - 29. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60822*z**2 + 15*z + 1964?\nAnswer: -121644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 21 (c) -4\/19 (d) 0.3 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5\/9 + 7168*i**4\/9 + 937850*i**3\/9 - 21500*i**2\/9 - 2799232*i\/9 + 1875712\/9 = 0?\nAnswer: -3448, -136, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 2*a - 3. Let p be c(-3). Suppose 5*b + 33 = 2*y, -8*y + 3*y + b = -94. Let d = y + p. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34111363 (base 7) to base 8.\nAnswer: 13227110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2419 - 2419 + 2*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*4\/(-16))\/((-30)\/16)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.1 in -0.27, -0.06, -2.5, 1, -1.12?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3220\/(-63))\/92)\/((-4)\/((-72)\/(-195))).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 5*r + 103 = 0, r = 9*h - 14111 + 7058 + 7064 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1705.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1511*y = 1513*y + 5*k + 3, -4*k - 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + 1626\/12)\/((-5)\/(-10)) is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*1 + 0 + (sqrt(7) + 0 + sqrt(7))**2.\nAnswer: 3*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/13, 2\/309 in ascending order.\nAnswer: -4, -2\/13, 2\/309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h. Let r(a) = 140*a - 85. Let m(y) = -8*y + 6. Let g(c) = -c + 1. Let w(s) = 3*g(s) - m(s). Let j(i) = -6*r(i) + 170*w(i). What is x(j(n))?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1405 - -1279. Is -127 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 6*m**2 + m + 6. Let x be v(6). Let u = -1 + x. Solve 4*a + 3 = u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 103 (b) -3\/14 (c) -0.1 (d) -2\/5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 + (2 - 1 - 3)*(9 - 1 + 0))*(69 + 69 - 129)*(3*k**3 - 2*k**3 - 2*k**3).\nAnswer: 162*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5355242 - 2?\nAnswer: -5355244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.277 rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 529 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -88, -202, -362, -568?\n\"Answer: -23*k**2 + k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -284 - -268. Let k be n\/(-120) + (-788)\/(-30). Which is greater: k or 26?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1834\/(-262))\/(54\/24*(-4)\/(-3))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29928462167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = 130. Suppose 2*u + 0*u - 166 = -4*x, -u + 4*x = -n. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -414, -625, -838, -1053, -1270, -1489?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 90, 311, 678, 1191?\n\"Answer: 73*z**2 + 2*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/63 and -4 - (-98 + -2)*6\/56?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -809 - -5\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let c be (-2)\/(-4) + (-18)\/4. What is the second smallest value in c, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -45. Let h(u) = 9*u**4 - 2*u**3 - 11*u**2 - 2*u - 2. Let m(f) = f**3 + f + 1. Let z(p) = w*h(p) - 2*m(p). Find the third derivative of z(g) wrt g.\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (49\/7)\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.953 and -3.\nAnswer: -2.859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/9)*j**(-1\/6)\/j*(j\/j**(-1\/2))\/j**(2\/9))**3)**(-2\/27) assuming j is positive.\nAnswer: j**(-4\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 821107916 a multiple of 2582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -19*j**2 + 1. Suppose 12 = -0*i + 4*i + 4*c, i + 4*c + 9 = 0. Let s = 8 - i. Give k(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*j**3 + 133 + 6*j**2 + 23*j**3 + 3*j**3 - 133.\nAnswer: 244*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1930 and 5350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11001 (base 2) to base 14\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + 4 + (-8 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2063350.\nAnswer: 2, 5, 29, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdoppm. Give prob of sequence mpo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34723654*g**5 + 1675*g**2 + 1066*g + 3?\nAnswer: -2083419240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m + 1. Let s(q) = -10*q - 2. Let a(g) = 4*s(g) + 11*t(g). Suppose -3*k + 13 = -c, -c = -3*c + 4*k - 22. What is the units digit of a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002215 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/36, 3.4, -3530.6, -4?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848 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: Is 10 a factor of 525\/12 + (-4)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h - 46*h + 20*h - 7119*h**3.\nAnswer: -7119*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - w**4 - 2*w**2 + 10)*(-w + 6*w - 3*w).\nAnswer: -2*w**5 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 450 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -131*a - 1047. Determine v(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -bd?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*w = -1163, 5*i - i = -4*w + 940. Calculate the greatest common factor of i and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478431617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 13 + g + 13 - 22*g to the form r + f*g**3 + s*g + d*g**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.813472 minus -478.619?\nAnswer: 479.432472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 12, 2*s + 29 = -3*s - u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*(-170)\/204.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3059 and 8694?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 0.1 (b) 8 (c) 2\/11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 318, 2, -3 in decreasing order.\nAnswer: 318, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.888007 nanograms to milligrams.\nAnswer: 0.000009888007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -4*w. Suppose -2*j + 0 = 2. Put w, j, 1 in ascending order.\nAnswer: j, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -10*m + 5*m. Let i be (-55 + -5)*(-2)\/m. Let f be (6\/15)\/(3\/i). What is the third smallest value in 5, f, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24181 is divided by 7973?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Let k = -6 + c. Let y(u) be the second derivative of -u**4\/6 - u**3\/6 - u**2 - 129*u - 1. What is y(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 24088 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3404 + 19206 = 1677*u - 24346 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/((p**(-2\/31)\/p)\/p)*p)\/p*p**(-36))\/(p**(-18)\/p**(-26)))**8 assuming p is positive.\nAnswer: p**(-9904\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229568418 to the nearest integer?\nAnswer: 15152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626 = g + 3*j, -59*g + 56*g + 5*j + 1822 = 0. Which is smaller: 617 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/9 - 646*b**3\/9 - 15494*b**2\/9 - 1650*b = 0.\nAnswer: -297, -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8111.1547 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3246 equal to -3245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 319*z - 4. Let s(d) = 1. Determine -h(i) - 4*s(i).\nAnswer: -319*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -40 (b) 4 (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81491 - -81728.708. Round n to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/(-207))\/(10515\/32246).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, f: 3, m: 2, z: 3, c: 1, i: 1}. What is prob of picking 1 m, 1 a, 1 f, and 1 i?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (650\/(-200))\/(1\/(-4)) and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*y + 76 = 0, 5*b - 2*y - y + 203 = 0. Let a = -17 - b. Suppose w = -2 + a. Calculate the highest common factor of w and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.1, -1\/3, -7\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 210 + 362. Suppose -i = -4*z - 14. What is the remainder when z is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from vtttvtplvptttvvpv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/152 and -49\/120.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 9311 - 2331. Suppose -4*t - 1487 = 5*w + f, 2*t + 1154 = -2*w. What is w rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 108*b**2 + 2. Let u(t) = 2*t. What is u(s(l))?\nAnswer: 216*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4 - 60*f**3 + 368*f**2 + 1536*f - 4096 = 0.\nAnswer: -4, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/5 - (-1)\/5. Let z = -5 + o. Let h = z + 3. 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: What is the first derivative of -160*o**2 - 66?\nAnswer: -320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 2125438?\nAnswer: 2125439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 105274242 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372833663.\nAnswer: 372833663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 2*v - 4*v - 8*v**2 - 6 - v**3. Let q be 15\/(-255)*-17 + (-10)\/2. Let m be r(q). Calculate the highest common factor of m and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 12, 3*n - 5*n + 16 = r. Suppose n*h = h + 150. Factor -8*d**3 - h*d - 7*d**3 + 9 + 36*d**2 + 3*d**4 - 3*d**3.\nAnswer: 3*(d - 3)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q = -32*q - 85. Suppose 3*o - q = -2*o. Which is the third smallest value? (a) 3 (b) o (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 27.73397.\nAnswer: -11.093588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/21, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/105*(3\/16)\/(867\/1156).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63479433 is divided by 1007610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -108. Suppose -a + 2*s = 3*a - 24, -2*s = 5*a - 12. Calculate the remainder when g is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/(-924) + (2 - 9\/4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3091\/3 + -1027. Determine m, given that 2 - 10\/3*m - p*m**2 + 4\/3*m**4 + 10\/3*m**3 = 0.\nAnswer: -3, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 499 + -508. Which is the smallest value? (a) -5 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, -10, -11, -12, -13?\n\"Answer: -o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 3:06 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86589 is divided by 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8665.39ml to litres.\nAnswer: 8.66539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-4184*v - 4205*v - 2521*v + 442*v).\nAnswer: -10468*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 6*a**2 + 3*a - 5. Suppose 3*m + c + 14 = 0, -3 = m - 0*m + 2*c. Determine l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 + -117 + -96 + (1 + 0 - 31 - 2)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -8) + 13 + -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -230, -404, -578?\n\"Answer: -174*q - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-2700)*30*99\/12\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2332 and 0.009413.\nAnswer: -21.951116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -4, 16, -351, -10 in decreasing order.\nAnswer: 16, -0.9, -4, -10, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 4*w**2 + 6*w - 7. Let h be i(3). Suppose -3*a = -4*y - h*a + 1819, 2*a = -5*y + 2290. What is the greatest common factor of y and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = 4*y, -2*y + 2*r + 26 = 6*r. Suppose -2 = 4*q - 3*q, -q = h + y. Let x = -2.5 - -0.5. Put h, x, 5\/3 in ascending order.\nAnswer: x, h, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-28) + (-414)\/(-7) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*h - 45 - 63 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(704) + 5 + sqrt(704)) + sqrt(704) - sqrt(704)) + (sqrt(704) + -1 + sqrt(704))*3)**2.\nAnswer: 2304*sqrt(11) + 101520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcwnq. What is prob of picking 1 n, 1 q, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 143*k - 1294. Is g(-97) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.24, -2, 0.2, 8, 32\/11?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(288)*3)**2*3 + (3 + (2*sqrt(192))\/sqrt(6) + sqrt(32))**2.\nAnswer: -15255 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 2*j + 4. Let t be w(3). Let n = -1 - 1. Let y be -2 + n + (-3)\/(-1). Is y less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (sqrt(76) - (-2*sqrt(76))**2) + 5 + (sqrt(76) + -1 + sqrt(76) - sqrt(76) - sqrt(76)) + 4)*2 + 0.\nAnswer: -3010 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 8 - 4)*((-1106*m + 41*m**2 + 1106*m)*(0*m - 3*m + m) + (4*m + 5*m - 4*m)*(2*m**2 + 2*m**2 - 3*m**2)) as x*m + h*m**2 + f*m**3 + r and give f.\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 9*l + 211. Let d(i) = -3*i - 52. Let o be d(l). Solve o*f = -5*t + 23, -t + 1 = 4*f - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020222012 - 102?\nAnswer: -1020222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97932.87 rounded to the nearest 100?\nAnswer: 97900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -10 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*x**2 - 11*x**2 + 5*x**2 + 21*x**2 to a + c*x**2 + t*x and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*t - w, 5*t - 2*w = -5*w + 32. Suppose 2*l + 4 = -0, t*c = 4*l + 16. Solve 3 = 2*x - 5*y + 18, -5 = c*x + 5*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) 4 (d) 0.382 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 20. Suppose 4*g = c + y, 14 = 2*g + 3*g - c. Solve 4*v - 5*f = 6 - 34, v - g = -f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.9125 (c) 1\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 + 114*n**3 - 1138 + 2332 - 1192 - n in the form q*n**3 + v + i*n**2 + j*n and give q.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 155 = -3*q. Let g = 35 - q. Let p = -6\/13 - -25\/26. Which is the nearest to p? (a) 1\/4 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 1, e: 3, n: 7}. Give prob of sequence ne.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -efda (base 16) to base 14\nAnswer: -1853c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.92, 3.5, 1181 in ascending order.\nAnswer: 3.5, 3.92, 1181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9329 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 490 - 282. Suppose 40*f - 2474 = -794. Calculate the remainder when v is divided by f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*87\/29.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 6 + 141*t**3 + 0*t**2 - 3.\nAnswer: 141*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*t + 1063, 2*x = -5*t + 1459 - 143. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16362 + 1a9?\nAnswer: -16186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 less than or equal to 321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -8\/27269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15*(-10)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from sssasaaaasss?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * -2.003.\nAnswer: 2.4036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 57, 29, -25, -111, -235, -403, -621?\n\"Answer: -b**3 - 7*b**2 + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5115 + 5112. Sort -1, b, 132, 4.\nAnswer: b, -1, 4, 132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -85*o - 1. Let t(u) = u - 1. Let k(m) = -2*m**2 + 6*m - 6. Let a(s) = k(s) - 6*t(s). Give f(a(w)).\nAnswer: 170*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.46 + -3.298. What is i rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t + 2772 = 28*t. Is 11 a factor of (2\/(-4))\/((-2765)\/t - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**3 + 21*s**3 - 53*s**3 + 18*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.065 (b) 10 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 333, 0.7, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/171 and -28\/381.\nAnswer: 21717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 922\/13 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -413.74779 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2032680*q**2 - 5311453?\nAnswer: -4065360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0615741 and 0.64278?\nAnswer: 0.7043541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4129, 5 in decreasing order.\nAnswer: 4129, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2553559993 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + s**2 - 5*s - 5. Let g be v(-2). Let h(i) = 1 - 1 - 23*i. Is h(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39313793 - 0?\nAnswer: 39313793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 11011?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6342 + -78?\nAnswer: -6431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + o - 1. Let z(d) = d**3 - d**2 + 1. Let c be z(-1). Let y be 1*(2 + -3) + 2. Let h(a) = -10 + 10 + a. Give c*h(r) + y*f(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vccv when four letters picked without replacement from vsvcvscvc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 1)*(-28)\/5. Let f = u - 20. What is the least common multiple of 22 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 0*l + (3 + 1 - 2)*(l + 0*l - 2*l) - 2*l + 0*l - l)*(0 - 2 - 1) + 0 + l + 0.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 438590393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 141, 276, 405, 528, 645?\n\"Answer: -3*o**2 + 144*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) 0.2 (b) -3\/7 (c) 5 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5.4. Let y = -0.4 + 0.2. Does y = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/11)*h**(-10)*h)**(-20\/7)*((h\/h**(-3\/5))\/h*h\/(((h**(-2\/9)*h)\/h)\/h))**(-1\/58) assuming h is positive.\nAnswer: h**(4688221\/200970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = 4*b, -5*y + 22 - 2 = -5*b. Suppose -3*g + 18 = -3*n, 0*n = -4*g - 4*n + 8. Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a**(-21)\/a)\/a)*a*((a**(-1)*a)\/a)\/a*a*((a\/(a\/((a*a**(1\/6)*a)\/a*a))*a*a*a*a)\/a)\/(a\/((a**(2\/5)*a)\/a)*a) assuming a is positive.\nAnswer: a**(827\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.1934513 rounded to 3 dps?\nAnswer: -61.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, x: 6, o: 5, d: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 23677*m. Let h(r) = r. Give p(h(d)).\nAnswer: 23677*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72186593107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -4\/3, -1\/4, -1\/3, -25, -0.2, -0.04?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**4\/4 + 2*y**3 + 7*y**2\/2 + 2*y + 14. Let p be c(7). Solve -p*a + 27 = -3*a - 5*w, -4*w = 5*a + 30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7302535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216436 by -5.\nAnswer: -216436\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 4, -59, 3, 6, 45 in descending order.\nAnswer: 45, 6, 4, 3, -2\/15, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -0.5, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5 - (-10 - (-7 + 2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -347 + 357. Solve 6*a = m*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 * 225\nAnswer: -22950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6444 - 3058. Is p\/((-4)\/(3 - 5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:01 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 9) + 5 + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 2. Let c be l(-5). Sort -6, 0.1, c in increasing order.\nAnswer: -6, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/30)\/((-15)\/(-42))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160 - 55. Suppose 0 = 2*d + 3 - w. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 i when three letters picked without replacement from {b: 2, f: 3, i: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 5:48 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1055464 from -0.5780829.\nAnswer: 1055463.4219171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 i when three letters picked without replacement from {o: 8, p: 2, i: 5}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2202 and ((-2)\/20)\/(338\/(-3718)).\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 67. Suppose 13 = -4*m + 61. Let f be (-22)\/m - (-1)\/y. Put f, 0.4, -0.5 in descending order.\nAnswer: 0.4, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/120 - 8*y**5\/15 - 35*y**4\/24 - 17*y**3\/3 - 15*y**2 - 2*y. What is the remainder when i(-31) is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-27 + (0 - ((11 - (23 - 13)) + 12)))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3256 is divided by 1139?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4112, 4071, 4026, 3977, 3924, 3867?\n\"Answer: -2*a**2 - 35*a + 4149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594883.488 rounded to the nearest 10000?\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-23 + 33) + -13 + 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349547060 a multiple of 1195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 168 = -0*l. Let k be ((-1)\/(-2))\/(2\/l). Suppose 67 = 2*u + 5*f, -31 = -u - 2*f - 0*f. What is the highest common divisor of u and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3067\/137115 - 3\/1385. Let k = -2.668659 + -0.331341. Sort k, 6\/11, i in decreasing order.\nAnswer: 6\/11, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/102 - 16\/3. Let i be 20 - (-5 + -5 - w). Solve 0 = 2*t - 3*c - i, 0 = t - 3*c + 7*c + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - 20 - (-494)\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7783 is divided by 1550.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 15*u + 6. Let y(c) = -1. Let m(b) = -o(b) + 2*y(b). Is m(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**2\/2 - 17. Let w(g) = 22*g**2. Give w(y(x)).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)\/w*w*w**7*(w**1*w)**(-23))**(4\/31) assuming w is positive.\nAnswer: w**(-158\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 99.72308ml?\nAnswer: 0.09972308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 5, 43, 52 in decreasing order.\nAnswer: 55, 52, 43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/13, 1, 2\/15, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:40 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 41106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 425449 and 28261?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23004257\/857269 - 2764\/103. Is 0 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-29790)\/240)\/(1\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -756 divided by 4.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003588 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-15)\/(-20))\/(-2 + 5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 4 = 18. Let j be 1*2\/(-7)*-3. What is y in -10\/7*y - 2\/7 - a*y**2 - j*y**3 = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 45*f**4\/8 - 55*f**3\/6 + 476*f**2 + 1. Let a(b) = 5*b - 2. Give -165*a(z) + 6*j(z).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25747 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*v - 33*v - 272280000. What is v rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 130\/4*(-11 + (12 - 45\/25)). Let v(m) = -4*m**2 + 3*m + 9. Let y(s) = -17*s**2 + 13*s + 37. What is g*v(l) + 6*y(l)?\nAnswer: 2*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967*j = 4325 + 41528 + 19903 for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146165, 292544, 438913, 585266, 731597, 877900?\nAnswer: 1024169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765765613.\nAnswer: 563, 3136351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7 = 35. Let m = t + -2. Solve -2*h + 14 = -m*k, -6*h + h + 8 = k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64549886 + 9531.\nAnswer: 64559417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46200\/2310*(-2)\/(8\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in -5, 10, 0.7209?\nAnswer: 0.7209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose -2*i = -3*i + a. Solve -5*n + 10 = -i*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from huuh.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*u + 106*u - 20186 + 2231 = 0 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13137 is divided by 1642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(2\/11))\/v*(v*v**(-2\/13))\/v)\/((v**(-4\/5)\/v)\/v*v**23))**49 assuming v is positive.\nAnswer: v**(-684432\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.2. Suppose -22 = 5*u + y - 1, 2*y = -2. Let t be ((-88)\/18)\/u + -1. What is the third smallest value in q, -5\/3, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 1:42 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4.992 - 3174\nAnswer: -3169.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -1 - 1 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 36bb415?\nAnswer: 36bb413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1025 + 632. Let m be (-1)\/(390\/q + 1). Let c = 164 - m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*b*p**4 + 24*a**3*b*p**2 + 2*a**2*b**3*p - 1133*a*b**3*p**4 - 22*b**3*p**2 wrt p.\nAnswer: -48*a**3*b*p - 27192*a*b**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 0, i + 3*h + 2*h - 24 = 0. Let n be 2\/4 - 41\/(-2). Let z = n + -12. What is the remainder when i is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17880.78 to the nearest 100.\nAnswer: -17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddkdddkdkddddd. Give prob of sequence ddd.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289*t - 5*t**2 + 1103*t**5 + 3 + t**6 + 3*t**2 - 31*t - 1102*t**5 + 495*t**3 wrt t?\nAnswer: 120*t**3 + 60*t**2 + 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.329.\nAnswer: -1.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {y: 1, p: 2, o: 1, x: 2, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 5*d = 24. Which is smaller: 14 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 5:08 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5 + 486*t**4 + 984*t**3 = 0. Calculate t.\nAnswer: -2, 0, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 185*n**2 + 1141*n - 43389. Determine y(180).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 2*g)*(4 - 3 - 6) + (g + g - 3*g)*(1 - 2 + 3) + 2*g - 3*g + 0*g + 2*g + 4*g + 3*g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**5 - 399*b**3*t + 11*b + 5*t wrt b.\nAnswer: -20*b**3 - 2394*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrf when four letters picked without replacement from {r: 7, f: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 15767 = -4336. Suppose 5*c - 7*c + s + a = 0, -3*c - 4*s = -740. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15 = -4*r, -k + 2*r = 1 + 4. Let w(d) = 2*d**3 - 3*d**2 + d - 18. Let s be w(k). What is the greatest common divisor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -50, -60, -50, -14?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-7 - -2)) + 5 + -9 - (-14 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 24*l + 3. Let o be a(12). Solve 0 = -o*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.81 + 2.80789. Round v to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**8\/1680 + k**7\/840 + k**3\/2 - 3*k. Let r(v) be the second derivative of y(v). Let r(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (-1 - (2 - -25) - 14)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 + 105. Solve s - m = 2 + y, 0 = -2*s + m + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197031*h**3*i*v**3 + 7*h**2*i*v + 11233*h**2*v**3 - h*i*v**3 wrt h.\nAnswer: 1182186*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/585*2\/3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 4 - 2*i - 4 - i + 3 - 2*i**4 to the form c + u*i**2 + t*i**4 + m*i + s*i**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:03 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 4737*q - 195881. Calculate u(41).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 - 442*x - x**3 + 860*x**2 + 440*x + 127*x**2 - 4*x**3 in the form w*x**2 + z + u*x**3 + o*x and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*i + 5)*(3 - 7 + 2) - i - 2*i - 2*i + (-1 + 1 - i)*(2 - 1 - 2) + 2 - 2 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 94*s - 2214. Calculate d(-54).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11307 is divided by 9046?\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 12*g + 12*g + (0*g + 0*g - 2*g**2)*(1 - 2 - 1))*(g - 3 + 3).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*j - 536*j + 7568 = 1328 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -6. Let i = -4 - y. Let z = -4580 + 4576. Which is the biggest value? (a) z (b) i (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 3. Let k = 2 - 4. Let f = k + 1.6. Sort -3\/7, g, f.\nAnswer: -3\/7, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27\/21*((-280)\/(-15))\/8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/34)*c*c*c*c**(-3\/5)*c assuming c is positive.\nAnswer: c**(593\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 700608 and 218940?\nAnswer: 3503040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449431.9ml to litres.\nAnswer: 449.4319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 7*n - 3. Let g(s) = s**2 + 1. What is -4*g(c) - v(c)?\nAnswer: -2*c**2 + 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/25 (b) 3\/7 (c) 0.5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -88484, 1\/5 in descending order.\nAnswer: 6\/7, 1\/5, -88484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/9, 1.6, -2\/9?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 12) in base 13?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2254 and 440314.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -316.848?\nAnswer: -316.848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, p: 2, d: 2, i: 1, t: 3}. What is prob of picking 2 d and 1 i?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134187.\nAnswer: 3, 44729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 7*u - 3*l = 11, -2*u - 1 = 5*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5\/3 + 2765*d**4\/3 + 11006*d**3\/3 - 104858*d**2\/3 + 55211*d - 24849 = 0.\nAnswer: -2761, -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96391*t - 96391*t + 4*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26083*u = -1171418 - 394949 - 76862 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - 2*i)*(3 - 3 + 3)*(0 + 0 - 3).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 243 divided by -81\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*x - 9*c, x - 18*c + 8 = -12*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 3 (c) -2 (d) 257 (e) 31 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1b0 (base 15) to base 10\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 8, -0.1, -2\/9, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-6)\/(-766))*(-14 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 736 - 740 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 16*r**2 - 18*r + 7. Let g be m(15). Let z = 61 + g. Let c be (z - -2)*1 - 3. Calculate the highest common divisor of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64c73 - 17a?\nAnswer: -6500d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2607*g - 151698 - 96295 - 36202 = 65143 for g.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -28. Let i(x) = x**3 - 6*x**2 - 5*x + 26. Let m be i(7). Do b and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*a**2 - 1 + 25*a**3 + 1 - 45*a**2 + a - 133*a**3 wrt a?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*f + 6, 0 = -4*n + 4*f + 24 - 0. Suppose -4*k = -4*j - 20, -j = -0*j + n*k - 15. Solve 3*y - 4*d = -3, -3*y + j*y + 2*d + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -101. Let x = a - 70. Sort 1, x, -3 in ascending order.\nAnswer: -3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c - 10*c - 3*c - 11. Suppose 4*j - 4*z + 52 = 0, 5*z + 10 = -5*j - 15. Let b be x(j). Solve -b*i + 2*i + 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/884430 and 23\/2511.\nAnswer: 7959870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5295342.\nAnswer: 2, 3, 13, 29, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1110, 1113, 1112, 1107?\n\"Answer: -2*z**2 + 9*z + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, -3\/8, 25250 in decreasing order.\nAnswer: 25250, 0, -3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -793 - 629. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213469844 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -11, -28, -61, -116, -199?\n\"Answer: -c**3 + c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-84)*2\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-21) - 116\/(-3). Let t be -9 - 62\/(-7) - 520\/(-14). Let z = i - t. Calculate the smallest common multiple of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1268.23 - 1257. Let q = z + -11. Put -3, q, -0.2 in decreasing order.\nAnswer: q, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -351*l**2. Let d(r) = 162*r - 5. Let m(i) = 259*i - 8. Let o(c) = -8*d(c) + 5*m(c). Calculate o(w(q)).\nAnswer: 351*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*j + 70*j = -10683. Suppose -5*s + 17921 = 4*r, s + 3*r - j = 8*r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.519 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -4 (c) -2\/13 (d) -3 (e) -0.66\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -28344?\nAnswer: 28339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1683 + 1682. What is the nearest to -2\/17 in -0.2, -5, s, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*n**2 - 74*n**2 - 79*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20673*d**3*s**3 + 52*d*s**3 - 1543176*s**3 - s**2 + s with respect to d.\nAnswer: -62019*d**2*s**3 + 52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 24 = -0*v. Let t(h) be the first derivative of -2\/3*h**3 - 101 - 7*h + 11\/2*h**2. Let s(l) = -l**2 + 6*l - 4. What is v*t(z) - 11*s(z)?\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*g + 413*g + 31*g + 0 + 0 + 3*g + (3 - 1 - 1)*(-4 + 4 + g) + 3*g - g + 0*g to the form y*g + o and give y.\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2234 divided by 2.\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:25 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 470256 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 338739.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1476.1329 microseconds to minutes.\nAnswer: 0.000024602215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q + 2. Let h be n(0). Find o, given that -26*o + 5*o**h + 12*o - 16*o - 2*o**2 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 2. Let p be q(2). Let t(g) = -23*g + 3. Let w be t(0). Solve c - 9 = w*s, -s + p = -3*c - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 4*r**2 + r. Let t = 37 - 25. Let x(k) = k**3 - 13*k**2 + 13*k - 9. Let v be x(t). Determine y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 34368, -3, 0, 2 in descending order.\nAnswer: 34368, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4819, -9744, -14677, -19636, -24639, -29704, -34849?\nAnswer: -40092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00199264 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013147?\nAnswer: 349, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010101111110110000110 + -1?\nAnswer: -111010101111110110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2631 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - (840\/20)\/((-2)\/23) is divided by 81.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*s + 67270, 10 - 4 = 3*s. Let j be 6725\/z + (-3)\/6. Let r = 501227\/40368 - j. Calculate the common denominator of r and 29\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*k + 21744596 = -37*k + 81*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 967 divided by 6\nAnswer: 967\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918 + 7\/((-70)\/90) is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1120 and 1040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4750 + -2459. List the prime factors of x.\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -1\/12*l**3 - 1\/24*l**4 + 90*l**2 + l - 1\/120*l**5 + 0. Factor x(z).\nAnswer: -(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*i = -8218777 + 41261643 - 190950185. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 636 + -627. Let c(k) = -26*k + 235. What is the smallest common multiple of 181 and c(x)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 68 = 5*b, -3 = -b + 3*f + 1. Suppose -3*s - 5*z = -95, z - b = -3*z. Suppose -27*q + 8 = -s*q. Solve -x = m + 4, 2*x + 0 = q*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36190, -71811, -107436, -143065, -178698, -214335, -249976?\nAnswer: -285621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 3*x + 3. Let h be p(2). Let s be 2\/(-7)*h*1. What is the third derivative of -7 + 0*k**s + 7 + k**3 + k**2 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6895 - 6896. What is the second smallest value in 2\/3, 3\/2, y, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 22 + -3 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.89? (a) 1\/6 (b) 1 (c) 41 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88.000000406 - 88. Round j to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 105741022 and 4?\nAnswer: 105741018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5212539+55510\nAnswer: 5268049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*b - 503*b = 10768 + 10644 for b.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 150*q**2 + 156*q - 304.\nAnswer: -2*(q - 76)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i**3 + 0*i**4 + i**4 - 12*i**3 + 2*i + 2*i + 2*i**2 - 6*i to b*i**4 + v*i**2 + d*i + c*i**3 + t and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -12642\/222559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11193, -28401, -45609?\n\"Answer: -17208*m + 6015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 11) + 16 + -5 - 22\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:34 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1916678, 3833205, 5749754, 7666337, 9582966, 11499653?\nAnswer: 13416410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -42625 divided by -155\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*m + 2. Let t = 65 + -57. Suppose -4*y - t = z + z, 8 = -4*y + z. Is y at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/42)\/((-2)\/236). Which is greater: -60 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178.66 or -3843?\nAnswer: -3843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1192092 and 2904?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/6 + 25\/18. Which is the closest to 2\/43? (a) -2 (b) -2\/15 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 8680?\nAnswer: -1\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/5)\/(3\/(-135)) 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 131156.\nAnswer: 2, 32789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -5 (b) 3270 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20352 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25057699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (4 + (0 - -8))) + 0 + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193.2317 - -194.7317068. Let v = b - 1.5. What is v rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 12, -3, -12, 2, -3\/7 in descending order.\nAnswer: 12, 2, 1.2, -3\/7, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-5)\/(-40))\/((-3)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59\/3 - -20. Suppose -22 = 4*p + 2*a, 2*p + 1 + 13 = -2*a. Let z be (-1 - 0)\/((-3)\/2). What is the closest to z in s, -3, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -78.1. Let h = 82 + -174. Let y be 2\/4*-15*h\/115. What is the nearest to -2 in l, 4\/7, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -42, -30, -18?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99) + sqrt(99)*2)*3 - sqrt(99)*-1*-3)\/(sqrt(900) - (-5*sqrt(900)*2 - sqrt(900))).\nAnswer: 3*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2 - 495700*t + 30714811250 = 0.\nAnswer: 123925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(-1\/4)\/((f\/(f**(1\/11)*f))\/(f\/f**(-4\/7))) assuming f is positive.\nAnswer: f**(845\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:51 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17317 - 6483. What are the prime factors of o?\nAnswer: 2, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 8*m = 6. Suppose 4*f = 3*f - m, -r = -4*f - 65. What are the prime factors of r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101*-1248265\nAnswer: 126074765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -4\/105*f**7 - 1\/10*f**5 + 0*f**6 + 0*f**4 + 0*f + 0 - 9*f**2 + 0*f**3. What is the third derivative of p(c) wrt c?\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 10. Suppose 2*d = -4*v + 1416, b*d = -2*v + 2025 + 1507. Suppose -2*k + d = -0*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011011011 - -11?\nAnswer: -1101011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52133 + 522376. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8149 is divided by 1027?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45839, -366690, -1237571, -2933498, -5729487, -9900554, -15721715, -23467986?\nAnswer: -33414383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0646 and 11.\nAnswer: 0.7106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208027 is divided by 113.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 45 = c, -a + 4*c = a. Find the first derivative of 4 - a + 3*f + 3 wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29335539 and 8.\nAnswer: 234684312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597695 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1236)\/(-27398)*(-56)\/(-30))\/4?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000000000111011001010 (base 2) in base 3?\nAnswer: -201201220221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*n - 32, -n + l + 26 = -3*n. Is (4652\/(-6))\/(8\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8239704\/(-3703))\/(-264))\/((1*-2)\/(-28))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42886560421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/3)*j**0)**(2\/53))**46 assuming j is positive.\nAnswer: j**(184\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 18 + 13*d + 18.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -5*f. Let y = 5 - f. Suppose 0 = -3*h - p + 2, y - 3 = -2*h - p. Solve 2*m + h*m = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34*(240\/480)\/(2\/(-4)*1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395263566 a multiple of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*d - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46 - -2254?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2930 + -2858. Solve -u + 13*u = -s for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*p + 155 - 141, 4*i = 3*p - 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95.85 + 0.85. Let y = h + 99.1. Let t = -3.7 + y. What is the closest to -0.4 in t, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/28*(154\/(-48) - 7\/(-3)). What is the second smallest value in n, -31, 7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i + 0*i - 5*i)*(1 - 2 + 0)*(-130 + 282 + 79)*(-i**2 + 4*i**2 - 2*i**2) in the form u*i**2 + l*i**3 + a*i + c and give l.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(0 - (-4)\/(-9634)). Let j = c - -7522. Suppose 5*o + 0*o = j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f = -3*d + 184, 479*f = 5*d + 484*f - 40 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*i**3 - 72*f**2 + 605*f*i**2 + 242*f - 78*i**3 + 370*i wrt i.\nAnswer: 18*f**2*i + 1210*f - 468*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -3.5. Let r = 5 + q. Let i = -13 + 14. Which is the closest to i? (a) 1\/3 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o - 5*o + 17*o to y + q*o and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9485\/91)\/(-5) - 8\/52.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/56)\/(425\/(-1190)*-8)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-3)\/3 + -3). Solve g = s*g + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and 1.1?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(270)*2*3)\/sqrt(9))\/(2*sqrt(12)\/sqrt(2)*-3).\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1190830 and -42\/85.\nAnswer: 20244110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -65907\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**3\/3 - c**2 - 2*c + 2. Let j(q) be the first derivative of y(q). Suppose -20*u = -16*u - 12. Determine j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*y**3 - 1 + 1 - 55*y**3.\nAnswer: 78*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*c**3*k**3*m**3 + 2735*c**3*k**3 - c**2*k**3*m**2 - c**2*k**2*m**3 - 5*c*k**3*m**2 - 2*c*k*m**3 + 56*c - 6*k*m**3 wrt c.\nAnswer: 222*k**3*m**3 + 16410*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 2\/9*v**3 + 4\/9*v**4 - 2\/9*v**2 + 0.\nAnswer: 2*v**2*(v - 1)*(2*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (1 + -3))\/2. Suppose -15*o + 797 + 4003 = t. Determine k so that 38*k**2 - 144 + o*k + 400 + 62*k**2 = 0.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 2*b**2. Let g = -59 - -61. What is r(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4990348947?\nAnswer: 3, 23311, 71359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 - -23) + -46 + 43 + -12 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/15 + 14718\/(-55). What is the least common multiple of 24 and (-4221)\/m*(-64)\/(-6)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v + 2. Let m(g) = -160*g + 65. Calculate 195*a(t) - 6*m(t).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4462253 is divided by 1334.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 1470.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-225))\/(1\/3)*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -2113, 0, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = f + 704, 0 = -g - 3*f + 5*f + 183. Is g a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 5, w: 3}. What is prob of sequence xw?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.266208 milligrams in nanograms?\nAnswer: 4266208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o\/(o*o*o**(5\/3)\/o*o)))*o)\/(o\/o**(2\/23)))\/(o**(-2\/41))**(-1) assuming o is positive.\nAnswer: o**(-4607\/2829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 10 (c) 9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3770 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4687295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5140 and -2.9.\nAnswer: 14906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6600)\/7)\/((-3)\/21). Round g to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-12))\/(208\/(-468)). Let i = -25 - -33. Solve -8*p = -d*p + i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -29, -3, -6 in increasing order.\nAnswer: -29, -6, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/376 in -1, -0.3, -0.4, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.818 - -5.618. What is the second smallest value in 2, 13, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3454091789 to the power of 1\/4, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**2 + i**2 - i**2 + (0*i - 2*i + 3*i)*(-2 + 2*i + 2) - 13*i - 2 - 302*i**2 - 275*i**2 + 564*i**2.\nAnswer: -18*i**2 - 13*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 21*g**3 + 961*g**2 + 14935*g - 17. Let w(y) = 7*y**3 + 322*y**2 + 4979*y - 6. Let u(i) = 6*l(i) - 17*w(i). Find the second derivative of u(k) wrt k.\nAnswer: 42*k + 584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/135 and 71\/2114.\nAnswer: 285390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z**2 + 31*z - 11. Let v(y) = -7*y**2 - 16*y + 5. Let d(c) = -3*n(c) - 5*v(c). Let f(m) = -1. Let w(s) = d(s) - 6*f(s). Solve w(t) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + -2012110210110011?\nAnswer: -2012110210110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3035 + -1?\nAnswer: -3036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -786881*d + 1312581.\nAnswer: -786881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55094 and 5677290?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -245, -557, -1003, -1589?\nAnswer: -2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-4 + (-2 - -7))) + (-8 - -19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c + 24*c = -37015. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1276847 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 302 = 19*d. What are the prime factors of d?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835592097.\nAnswer: 47, 79, 494369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*s**4 + 24*a*s**3 - 2*a*s - 7*s wrt s?\nAnswer: 24*a*s**2 + 144*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.346 - 4.646. Let h = -5 + 4.5. Let x = 22\/21 + -12\/7. What is the second biggest value in x, p, 0, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -85*c**2 + 3*c + 121. Let m(l) = 254*l**2 - 8*l - 363. Let r(x) = -8*i(x) - 3*m(x). Find the first derivative of r(f) wrt f.\nAnswer: -164*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 - 1227306*x**4 - 33135804*x**3 - 298217862*x**2 - 894647025*x = 0. What is x?\nAnswer: -409075, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-2*j + 0*j + 0*j) - 2*j - 2*j + 7*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2217711023 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 + 47091496011?\nAnswer: 47091496010.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 28*c + 31*c + 2 + 4 + 4.\nAnswer: 3*c + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 814\/(-2) - (2 + 1). What is r rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 165?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/17 + 12440*o\/17 - 19344200\/17 = 0?\nAnswer: 3110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j = 69*j - 140. What is the lowest common multiple of 372 and j?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -364? (a) 0.5 (b) -2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 a when three letters picked without replacement from {a: 11, v: 1, n: 7}.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)\/2 - 5\/2. Let u be ((-4 - -3) + 1)\/s. Is -1\/195 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 351*i**3 - 353*i**3 + 97)*(1 - 4 + 1) to m*i + y*i**2 + c*i**3 + q and give q.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2207*s**3 - 2*s**2 - 25*s - 90. Let o be p(-4). Round o to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.3. Let b be (-44)\/(-6) - 6\/(-9)*1. Let w be (-105)\/(-108) + b\/(-36) + 0. What is the closest to j in -0.1, w, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 36, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.8 + -10. Let z = d - 1.7884. What is z rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -686425 by -5.\nAnswer: 137285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:38 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2 - x**2 + 0*x**2 - 6 - 6*x. Let j be k(-4). What is the highest common divisor of 36 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58772 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(540) + -1*sqrt(540))*2 - sqrt(540))\/sqrt(12)*-6.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 44 = -4*z, -3*n + 223417 = -z + 223353 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19076399.\nAnswer: 19, 227, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and -1043727.\nAnswer: -1043727.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-6) + 2062\/12 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let u be k(1). Let n be (-4)\/(-1*(u - -4)). Suppose -16 = 2*w + 2*w, -n*z = 2*w + 10. Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(924\/18))\/(3\/(-10))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 12730*l**2 + 20313776*l - 181794312.\nAnswer: 2*(l - 3178)**2*(l - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11391457 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/9)*g**(-2\/3)\/g)**(-1\/24) assuming g is positive.\nAnswer: g**(7\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 223*o + 109. Let n(v) = -446*v - 216. Let g be (-1)\/(-2)*(-104)\/26. Let r(w) = g*n(w) - 5*j(w). What is the derivative of r(t) wrt t?\nAnswer: -223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70553356 from 71.\nAnswer: -70553285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2120.012+0.0442211\nAnswer: -2119.9677789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Suppose r + a = 3. List the prime factors of (-6)\/((-4)\/(1 + r)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 0.4.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 + 148 = -11*t + 115. Put 3, 2, -4, 1, t in decreasing order.\nAnswer: t, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 124 = -2*s, -2*v = -0*v + 8. Suppose -l - 7*p = -11*p - s, -l = 3*p - 24. What is the smallest common multiple of l and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u**2 + 3588*u - 4320 = 0.\nAnswer: -360, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.07 + 2.66. Let f = -2.41 - k. Which is bigger: 53 or f?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 638, 2495, 5582, 9893, 15422?\n\"Answer: -i**3 + 621*i**2 + i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 40*f + 146. Let o be p(4). Solve 5 = s + o*j + 7, 0 = s + 5*j + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -108*k - 226. Let w be u(-7). Solve 529*m = w*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2 = 0, 4*o - 1 = -8*h + 3*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three sixteenths of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 + 29110074*a - 145550445 = 0. What is a?\nAnswer: -9703363, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 5*m**8\/336 - m**7\/42 - m**6\/24 + m**5\/12 + 8*m**2. Factor p(g).\nAnswer: 5*g**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -11*k**4\/7 + 301573*k**3\/7 + 904796*k**2\/7 + 603212*k\/7 = 0.\nAnswer: -2, -1, 0, 301606\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104391790 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/32*(-80)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 210 - 2\/(5 - 4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 60*w**2 + 60*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 0.2, -2\/9, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.42 and -170.98.\nAnswer: 242.7916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/15 - 8236*c**4\/3 - 212220914*c**3\/15 - 846908168*c**2\/5 = 0. What is c?\nAnswer: -10289, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590*q - 9186472 = 4837828. List the prime factors of q.\nAnswer: 2, 5, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*n**4\/5 - 759492*n**3\/5 + 489226*n**2 - 524760*n + 187400 = 0. Calculate n.\nAnswer: 1, 10\/9, 4685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*o = -2, -3*s + 2*o + 8 = -7*s. Sort -1, s, 3.\nAnswer: s, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}