diff --git "a/data/dm_maths/full_data/10427_11255.jsonl" "b/data/dm_maths/full_data/10427_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10427_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t be 8 + (-2)\/((-12)\/18*-1). Let o = -6 - -21. What are the prime factors of 1\/t - (-342)\/o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 104\/24 + 3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5485981ms?\nAnswer: 0.0005485981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuesuuubjujbbeuuueu. What is prob of picking 1 i and 1 j?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 147, 136, 119, 96, 67?\n\"Answer: -3*f**2 - 2*f + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 772651 = 772631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:02 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-9)\/((-6)\/2). Suppose 2*f + 2*f - 20 = y. What is the smallest common multiple of -2 + ((-8)\/12 - 102\/(-18)) and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*0.1.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14)*c*c\/(c*c*c*(c**7*c)\/c*c))\/(c\/(c**(-1\/10)*c)*c**(-8)) assuming c is positive.\nAnswer: c**(-151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025750958 rounded to 5 decimal places?\nAnswer: -0.00258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 5*h + 43. Let n be o(0). Suppose -a + 5*y = -1218005, -44*y - 4872001 = -4*a - n*y. Round a to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3809 - -1.4809. What is the nearest to -1 in k, -0.5, -0.3, 12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*d + 366 - 390, -4*z + 4*d = 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 589.7, 0.6?\nAnswer: 589.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -794*m + 805*m + 88 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1310432402 - 4?\nAnswer: 1310432354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 60 = 7*z. Is z at most as big as 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/826 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 309653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1128 divide 1109977391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1)\/1 + 20. Let n = 56 - o. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11*z - 796. Let m be a(-72). Sort 139, 8, m.\nAnswer: m, 8, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -59*w - 214 - 1045, -146 = 2*w - 3*l - 89 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14679, 14720, 14859, 15144, 15623, 16344, 17355?\nAnswer: 18704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*l = -13, 0*t - 3*t = -5*l - 20. Suppose 2*w = x + 21, 3*w - w - 41 = t*x. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6220192987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -501.775262 + 540.7752543. Let v = 3.08 - 42.08. Let c = v + x. What is c rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*q + 61*q**3 + 7*q - 57*q**3 as b*q + s + a*q**2 + g*q**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13305 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + b + 152. What is the greatest common divisor of b and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/9 - 4*o + 16 = 0.\nAnswer: 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.1969281 rounded to 1 dp?\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -167*r**2 - 417*r + 11104. Determine g(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-203460954)\/10 - (-16)\/40. Let p = s + 5146095. What is p rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*y + 120 = 0, -3*b + 3*y + 72 + 3 = 0. Let h = b + 43. What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:17 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 + -9.4. Let s = 6.5 + a. What is the nearest to 0.1 in -3, -16, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/3*(-150)\/(-20750)\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7405 (b) 4\/3 (c) -0.28 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + (-91 - -89) + 11 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 12. Let h be (-9)\/3*(-85)\/(-30). Let v = a + h. What is the fourth biggest value in 0.4, v, 3\/4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.43 + 65.57. Let m = 66.999942 - g. Round m to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 160*l + 162*l = 164, 82 = -x - 16*l for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52460 and 29240?\nAnswer: 1783640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -2 + 0)*10556\/(-377).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -191985, -192015, -192045, -192075?\n\"Answer: -30*c - 191955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4843317, 4843305, 4843273, 4843209, 4843101, 4842937, 4842705, 4842393?\nAnswer: 4841989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -59. Suppose 2*f + 4 = 5*j, v*j + 9*f - 4*f + 10 = 0. Suppose -a + 5*a = j. Solve 4*w + a*w + 12 = 3*b, 0 = 3*b + 5*w + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 505734 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**7\/105 + 47*l**6\/540 - 41*l**5\/135 + 13*l**4\/27 - 8*l**3\/27 - 90*l**2. Find t, given that u(t) = 0.\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135 - 133)\/((-60)\/66)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-8)\/(-20))*-20. Solve 3*n = -4*k - n + o, -2*k - 4*n = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-1 - 2)\/(-3)). Let g be 1 - (-3)\/(6\/(-14)). Let p = q - g. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-96) + (-676)\/(-1248). Factor 1\/4*r**2 + 0 + x*r**3 + 0*r - 3\/4*r**4.\nAnswer: -r**2*(r - 1)*(3*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 2*q**4 + 4 - 3 - q - 2*q**2 - 4*q**3 - 2 in the form n*q**3 + i*q + b*q**4 + s + t*q**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 522470700 to the nearest one million.\nAnswer: 522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-1)\/(-90)*6*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68))**2 - (-4*(sqrt(17) + 2))**2.\nAnswer: -64*sqrt(17) - 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10201220000011201?\nAnswer: -10201220000011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 10*d**2 - 12*d - 11. Calculate o(-7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.9 and 24?\nAnswer: 10.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 + 200. Calculate the smallest common multiple of 48 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 - 2. Let j be p(1). Let v = -2 + j. Solve 5*c + 4*z = 17, v*z - 8 = -5*c - z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Calculate the remainder when 10 is divided by c*1 - (-6 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 - 17 = 0. Let b(q) = 2*q**3 + 3*q**2 + 2*q - 3. Let s(t) = 4*t**3 + 5*t**2 + 3*t - 5. Give n*s(r) - 5*b(r).\nAnswer: 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from mmyvvyybyymmmiyb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 58 + 14. Let g be (0 - 3)*3\/(27\/l). Suppose 0 = -4*v - 20, 44 = g*d - 3*v - 143. Calculate the smallest common multiple of d and 2.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 19*j. Let g(m) = 902*m**2. Give r(g(c)).\nAnswer: 2440812*c**4 + 17138*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/6)\/(4\/18). Let a(l) = 2*l**3 + 3*l**2 - 2*l - 3. Let u be a(2). Let x = u - z. Calculate the greatest common factor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(5))**2 + sqrt(5) + sqrt(5))*-6 + 0 + sqrt(45).\nAnswer: -30 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58103337889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2845 is divided by 717?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.1, 2\/3591, -2\/7.\nAnswer: -2\/7, -0.1, 2\/3591, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.808 + 0.192. Which is the third biggest value? (a) 0.5 (b) i (c) 9 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/19 in 7, 33, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100001110011 + 11100?\nAnswer: 101100010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 22*j - 43. Let q be c(-19). Suppose 0 = q*d - 216 - 50. Calculate the highest common divisor of 38 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800*q**3 - 1599*q**3 + 794*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 = -3*m, 4*m + 2*h + 2*h - 4 = 0. Let o be (-3)\/(m + (-36)\/(-8)). List the prime factors of 11\/(o + (-28)\/(-12)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 27*a**3 + a**2 - a. Let o be n(1). Suppose 6*h = -4108 + 4126. Let x(p) = 0*p + 2*p**h - o + 26 + p + 0*p**3. Calculate x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100322320 - -221311?\nAnswer: 101210231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l + 5*l**2 + 65*l**2 + 2*l**3 - 526 - 109*l**2 wrt l?\nAnswer: 12*l - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57127003 a multiple of 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.9 (c) -0.2 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -5*n + 3*p - 191, -5*p = -15. Solve -q - n = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14014 and 195559?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*p = -x - 15, -37 = -5*x - 3*p. Suppose 2*t - 4*n - 16 = 0, -n + 28 + 12 = x*t. Is 7 a factor of (-1 - -3)\/(t\/104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 12*4\/4. Let f = t - -18. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6090\/(-116)*1\/10*(2 - 144\/28).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 - q + 2*q**4 + 0*q)*(-2*q + 2 - 2).\nAnswer: 4*q**5 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2133*j**4 + 18*j - 320566 wrt j?\nAnswer: 8532*j**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/119883?\nAnswer: 7\/119883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32277*h + 32298*h - 96937*h + 32210*h.\nAnswer: -152*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 17*k**4 + 6*k**2 + 2*k - 4. Let q(n) = -16*n**4 - 8*n**2 - 3*n + 4. Let a(c) = 3*q(c) + 4*z(c). Find the second derivative of a(t) wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - z**2 + 0*z**2 + 3*z**2)*(2*z - 2*z - z)*(7 - 8 - 2) to g*z + d*z**3 + v + u*z**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*g - 61*g + 5921226 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31345 = -4*j - 5*c, 0 = 4*c - 13 - 7. Does 50 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*c**4 - 12*c**4 - 16*c**4 - 48*c wrt c?\nAnswer: -684*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 127. Calculate w(34).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -4*y. Suppose 2*q = 5*k - 29, -k + y = q - 1. What is the units digit of ((-12)\/q)\/(3\/39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1134 - -110036?\nAnswer: 111203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*9\/(-30)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*y = -3*y - 395, 2*b - 5*y - 385 = 0. Is b a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -100*x**3 - x**2 - x - 1. Is 33 a factor of p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*i**2 + 684*i - 146*i**2 + 4 - 346*i - 338*i.\nAnswer: 250*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -553, -556, -561, -568, -577, -588, -601?\n\"Answer: -k**2 - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203838 is divided by 8484.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 - 133. Let h be 10*(t\/(-5))\/6. Let y be (-3)\/((-10)\/(-8) - 2). Sort 2, h, y, -3.\nAnswer: -3, 2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/18)\/((-1)\/18). Suppose -3*b = b - w. Solve 0 = j - 4*u + 13, -5*j - b*u - 17 - 2 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/4)\/((-2)\/(-164)) and (-1)\/(-2)*(-50)\/(-3)*(-144)\/(-64).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 598000 divided by -1150\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**6 + 5*h**4*j - 168*h**3*j - 2*h**2 - 13*h*j + 3*h wrt h.\nAnswer: -120*h**3 + 120*h*j - 1008*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7143807427 to the nearest integer?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + -12 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 21*d**3 - 308*d**2 - 3*d + 54. Calculate the lowest common multiple of 352 and p(15).\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 8*x + 2. Let r be o(-4). Solve -r*d + 4 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let p = 53 - 52.77. Let j = p - 0.13. Which is the smallest value? (a) o (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 520?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 11:32 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 140 = -3*g, -3 = -2*r + 7. Let d = g - 26. Differentiate d*j**2 + 0 + 2 - 13*j**2 with respect to j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i - 6122 = 6*i + 5*c - 6580, -5*i + c = -120 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83 + 5?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3826875 and 725?\nAnswer: 110979375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -1 - (56 - 61).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 22.4 (b) -2\/11 (c) -8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + -b?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10 and -12464677?\nAnswer: 12464667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19999 - -20001. Factor 5\/2*m**3 + 29\/4*m**n + 8*m + 3 + 1\/4*m**4.\nAnswer: (m + 1)**2*(m + 2)*(m + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*j + 140*a**2 + 54*a*j - 12*j wrt a?\nAnswer: 2*j + 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*g + 904 + 480 = 217 - 1199 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 - -887277397?\nAnswer: 887277396.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4 + 118*g**3 + 671*g**2 - 142*g - 3360 = 0.\nAnswer: -112, -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - 1. Let z = 24 + o. Suppose -2*f = 2*t + 10, 0 = -3*t + f + 4*f + z. Which is the closest to t? (a) -5 (b) -2\/3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70952966921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5 + 16\/5*g**3 - 4\/5*g**4 + 16\/5*g - 24\/5*g**2 = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 673865 and 8289?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34337\/8 + -4302. Let w = 805 + -2473\/3. Calculate the common denominator of o and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -658, -1990, -4000, -6688, -10054?\n\"Answer: -339*j**2 - 315*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2971.\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 1237656?\nAnswer: 1237648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -1.8501\nAnswer: -1.8501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11)*(j**(-3\/10)\/j)\/j)\/(j\/j**(13\/6))**18 assuming j is positive.\nAnswer: j**(2077\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 6*c**2 + 8*c + 18. Calculate a(-8).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1197, 2383, 3569, 4755?\nAnswer: 5941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 10:55 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 18. Solve z - a = -3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7635 by -509.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*k**4 + 21*k**3 + 12*k**2 + 78*k**2 - 19*k**4 + 45*k**4 + 80*k + 19*k**3 + 25.\nAnswer: 5*(k + 1)**3*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 82*o - 84*o + 2, -13 = -3*d + 2*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235507232*c + 2759*c**3 + 235507232*c.\nAnswer: 2759*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -60, -1\/10, -4\/9?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-101)\/(-9) + 2\/(-9). Suppose -5*t = -m + 1. Solve r - 2*r**t + 5*r + 5*r**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101 and -49265.\nAnswer: 4975765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 17. Let n be l(-8). Let u be (n - 8\/(-4)) + -4700003. Round u to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 5*d. Suppose -3*i - 3 + 21 = z, 0 = 2*z - 6. Give h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**4\/24 - 17*c**3\/6 + 307*c**2\/2 - c - 137. Let t(m) be the first derivative of a(m). Calculate t(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utueeubevtetei. What is prob of sequence vu?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9037543481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 8*r - 3. Let w be z(-9). Let h be w\/15 + -2 + 2. What is the nearest to h in 0.2, -13, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 513.9 + -514. Suppose 15 = -4*w - w. Which is the nearest to -2? (a) q (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -251\/3 - -83. Let s = -0.072 - 0.028. Let u = -0.1 + 4.1. Which is the nearest to s? (a) d (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 995 and 615905.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrr. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/1088? (a) 11 (b) 2\/19 (c) -2\/9 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.003 - -0.503. Suppose -4*j + 12 = -2*j. Suppose -f - 1 = -3*s - j, 0 = 4*s - 4*f + 4. Which is the closest to 0? (a) s (b) w (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.42? (a) 18 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 20. Suppose -2*a + 61 + h = 0. Solve -2*w - 16 = -6, a = 3*l - 5*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 321139850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4 - (-70)\/20). Which is smaller: m or -43\/19?\nAnswer: -43\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 + i - 4. Let c(p) = 9*p**2 - 3*p + 8. Determine -2*c(h) - 5*j(h).\nAnswer: 2*h**2 + h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(200 - 94 - 1717*z - 106) as y + o*z and give o.\nAnswer: -3434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*f**3 - 149*f**3 + 69*f**3 + 7*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 34*y + 154. Let o be i(11). Solve 0 = -9*b + 40 - o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*g = -523*g + 619*g + 74048 for g.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5\/4 - 6*r**4 + 18*r**3 - 51*r**2\/2 + 69*r\/4 - 9\/2 = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28140, -5, 14, 1.\nAnswer: -28140, -5, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144150 (base 8) to base 9.\nAnswer: -77334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 528 - 549. Let o = 12 - 9. Suppose -2*s - 16 = -6*y + 4*y, -4*s - o*y = -3. Sort h, -0.1, s.\nAnswer: h, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167291051 and -79.925?\nAnswer: 167291130.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -111, -1, 2, -34 in increasing order.\nAnswer: -111, -34, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n + 4*m + 68, -4*n - m - 82 = 0. Is 1\/(-2) + (-90)\/n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 21.49947ml?\nAnswer: 0.02149947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/672 and -73\/528?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 5*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1726 at most -1704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0) + 2*3. Suppose -8*m + 20 = -3*m. Let o = 6 - m. Solve 0 = -c - 0*c - q + j, 0 = -2*c + 3*q + o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*t + 28 = 0, j + 16 = 3*t + 2*t. Suppose 3*m = -4*a + 7*a + 48, -j*a = 2*m - 44. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0 + 4 = 0. Let h = 3 - s. What is the highest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/54 and (-908)\/(-168) - (-4 + 7)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 5:50 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6445020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(252))*1)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 0*f - 9*f)*(-41 - 8 - 24 + 18) to the form d*f + v and give d.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 2:32 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/6)\/((-115)\/92). What is the second derivative of -v*q + 38*q**4 + 35 + 18*q**4 + 2*q**3 - 29*q**4 - 6*q**3 wrt q?\nAnswer: 324*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:09 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 52 + 25*i**2 + 91)*(-i - 3*i + 12*i)*(-3 + 1 + 1).\nAnswer: -200*i**3 + 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 533362372 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/34569 and 25\/3841.\nAnswer: 34569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 4, 3 in decreasing order.\nAnswer: 4, 3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let y(v) be the third derivative of v**2 + 0*v - 1\/4*v**4 + 0 + 0*v**3. Give y(x(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5403, 5820, 6237, 6654, 7071?\n\"Answer: 417*m + 4986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73565085 and 330.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 52*m + 571. Calculate u(37).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-424)\/6 + 3\/((-18)\/(-4)). Let z = 73 + m. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -360*u - 4656. Determine v(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 5*i - 4. Let z(h) = -h**2 + 3*h + 2. Let r(t) = 8*t**2. Let x be r(-1). Suppose -7 - x = 3*n. Calculate n*z(k) - 3*y(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56479.89 years to millennia.\nAnswer: 56.47989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/2 + 13\/4. Let n = 158849 - 158852. Which is the smallest value? (a) -5 (b) n (c) m (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 3*p - 3*p)*(0 + 3 - 2) + 13*p + 11*p - 6*p to j*p + y and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12615 and -2062820.\nAnswer: -2075435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*l + 1886*l + 578*l + 308*l + 225939 for l.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.01, 1\/3, -0.3, -1\/8, 14 in increasing order.\nAnswer: -0.3, -1\/8, 0.01, 1\/3, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 287, 276, 265?\n\"Answer: -11*j + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -35.7?\nAnswer: -17.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(4032) - sqrt(4032)*1 - sqrt(4032))**2 - (sqrt(252) - 1*(1 + sqrt(252)))**2.\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d**3 + d**2 - 1. Let b be o(1). Suppose -5*t + 8*t = 4*m - b, 5*m + 12 = -4*t. What is the units digit of (187 - (5 - 1)) + m + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -x - i, 0*x + 5*x - 87 = -i. What is the units digit of 5\/((-15)\/12)*(5 - x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546032 - 9*k**3 + 545999 + 11*k**3.\nAnswer: 2*k**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(1 + 4*u**2 - 1).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wffffwffqwfwfqff. Give prob of sequence qqf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25281743 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 17146*a = -17145*a - 16, 2*k - 296 = -29*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189630 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10211 (base 3) to base 15\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, m: 1, y: 1, g: 7, h: 3}. What is prob of sequence mh?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10198 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183 - -188. Suppose 115 = 4*x - 2*g - 57, 4*g + 218 = 5*x. Suppose -f*p + 122 = x. Solve -p = -m - 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 8*x**2 + 7*x + 5. Let w be u(-5). Let z(f) = -f - 5. Let j be z(-6). Suppose j = 2*l - 9. Calculate the greatest common divisor of w and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = 4*x - 13, -4*x - 2*z = 2. Let y be -3*(-5 - -5 - x). Solve 3*t - 3*v - 19 = v, 3*t + y*v + 9 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -u - 3 + 1, 0 = 4*z - 4. What is the nearest to 0.1 in -8, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**3 - 6*q**2 + 68*q + 27. What is the units digit of d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6142 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-63 - -104) + 63.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, v: 8}. What is prob of sequence vvv?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3732 and 56602?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*3.153\nAnswer: -9.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -540, -543, -546, -549, -552?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:35 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**8\/6720 + y**7\/480 + y**6\/90 + y**5\/40 + 124*y**3\/3 - 120. Let m(r) be the third derivative of j(r). Factor m(x).\nAnswer: x*(x + 2)**2*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84597 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 5*a**2 - a - 4. What is the remainder when 30 is divided by j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 43 + (5 - 25).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9433 + -9433. Let w(c) be the second derivative of -1\/20*c**5 + 1\/12*c**4 + 1\/6*c**3 - 1\/2*c**2 - 23*c + m. Factor w(o).\nAnswer: -(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d + 5. Let x(p) = 8*p - 5. Determine -3*x(a) - 4*z(a).\nAnswer: 4*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c - 4 + 4 - 3*c**2 + 4*c**2.\nAnswer: c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -2fa7?\nAnswer: 2fa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 27599.0695 to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m + 9*m + 94 = 56*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7439 - 5?\nAnswer: 7434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 - 24*j**4 - 44*j**3 + 240*j**2 + 400*j = 0. What is j?\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -16*y - 140. What is b(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) -2 (b) 1\/24373 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000133649101 to 7 dps.\nAnswer: -0.0001336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.3, 1.15483?\nAnswer: 1.15483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + y**2 + 3*y - 3. Let w = -3 + 5. What is the tens digit of j(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1008 and 1988?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -2\/11, 5, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**5\/12 - x**4\/12 - x**3\/2 - 352*x**2. What is r(-3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-31))\/c**(-25) assuming c is positive.\nAnswer: c**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001 (base 2) to base 11.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -659, -787, -911, -1031, -1147, -1259?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 61 (c) 106 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 8. Let g = -4206 - -4206.4. What is the smallest value in c, 0.3, g, 0.03?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 18 + 8*d**3 - 10 - 15*d**2 as t*d + c + z*d**3 + n*d**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 810\/243*3\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3940 - 6987 = -7*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7271997.\nAnswer: 3, 2423999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 345*k + 63*k + 255*k + 2*k**2 - 4.\nAnswer: -k**2 - 27*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.41504l to millilitres.\nAnswer: 15415.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21140805*c**3 + 6992936*c wrt c?\nAnswer: -126844830*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 11*x + 2. Give n(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 8*d. Suppose d = -5*x + 2*x + 6*x. Solve -f + 1 + 3 = 5*i, x = i + 4*f + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 306\/1190*(-15)\/9\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3311, -26565, -89693, -212633, -415323, -717701, -1139705, -1701273?\nAnswer: -2422343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a = -20. Let k(f) be the second derivative of -3*f**2 + a*f**2 - f**3 - 4*f - f**2 + f**2. Differentiate k(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:38 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 389*r + 2302. Let z be m(-6). Solve j = z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((39\/(-2))\/(-3)). Is -0.3 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5963706.39 rounded to the nearest ten thousand?\nAnswer: 5960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7791 and 15141.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-2*sqrt(10)) - sqrt(2)*-3*-4) + -1.\nAnswer: -25*sqrt(2)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) 4 (c) 3154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1.3 (b) 2\/11 (c) -1\/73 (d) 0.18 (e) 2\/3 (f) 3\/2954\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 15*m**2 + 10*m**2 + 2 + 13*m**2 to the form k*m**2 + q + o*m and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 30 = 0, 2*h = 674*p - 676*p + 69732. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - -4.07. Let o = 1.44 - 1.94. What is the smallest value in o, k, 3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 1 - (-7 + 7 - -2 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 10*x - 14*x - 8, 0 = -3*i - 4*x - 11. Solve -3*t + y + 0*y + 2 = 0, i*y = -3*t - 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -377.31 - -377.3. What is the closest to f in -1, -1\/5, -14, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7678 and 1344978294?\nAnswer: 7678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15*((-136)\/(-204))\/(4\/(-6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 369 = 4*p - 1441, 0 = -5*p - 5. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - m. Let i be t(1). Solve 3*u = 3*o - 3, 7 = -2*u + i*u + o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 28*o + 113. Let w be i(-23). List the prime factors of (-655*w\/(-6))\/((-5)\/15).\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23615b0 (base 12) to base 9.\nAnswer: 13783176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-6)\/((sqrt(128)*2 - sqrt(128) - sqrt(2)) + sqrt(2)) + 1.\nAnswer: -9*sqrt(7)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147774, 147843, 147904, 147957?\nAnswer: 148002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1333042\nAnswer: -5\/1333042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:06 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45270151 - 2?\nAnswer: 45270147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:31 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + b + 44 = 0. Calculate the highest common factor of b and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 4*r**2 + 5*r + 2. Give k(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*g + 29, 2*b - 6*b = 3*g - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 18*j = -135. Let s be (j + 41)*(0 - (-20)\/14). Solve 2*h + s = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177232031 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(-2 + -5*(sqrt(300) + 1 + sqrt(300) + sqrt(300))**2 - (-2*sqrt(300)*-2 - ((1 + sqrt(300))*1 - sqrt(300)))).\nAnswer: 2040*sqrt(3) + 81036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - 0) - (-9 + 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s + 9. Let i be (-2 + s)\/(1\/4). Put 5, 2, i in decreasing order.\nAnswer: 5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*p**2 + 26*p - 15*p - 11*p.\nAnswer: 449*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -4*s + 9*s. Let c(d) = s*d**2 + 3 - 3 - 12*d**2. Let g(u) = u. Give g(c(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4758.4 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k - 2*p, 3 + 3 = -2*k + 4*p. Let d = -598 + 600. Let z be (k + 0 - (-8003 - -2)) + d. What is z rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/6081 and -89\/75.\nAnswer: 152025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -50*u - 2. Let q be a(-4). Suppose -3*w + q = -4*w. Let z = 433\/2 + w. Calculate the common denominator of -89\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0 - 1\/6*j**4 + 0*j + 21*j**2 + 0*j**3. Let l(v) = v**2. What is z(l(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*h - 129*h = -20, 0 = 5*d - 4*h - 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4422*o - 3403*o + 4032*o to k + j*o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 5*w + 3*w + 79, -4*h + 213*w = 212*w + 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * -1929.\nAnswer: -71373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12 - 10*v + v**2 + 3*v - 3*v. Let u be g(8). Put -2, u, 4 in descending order.\nAnswer: 4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11631343 and 16130.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 389923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7775419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 81*x - 1 = 82*x, -2*x + 8 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0 - 1\/2*t**2 + 1\/6*t**3 + 2*t + 1\/6*t**4. Let x(m) = 4*m - 5*m - 3 - m**2 + 3. Determine -2*s(v) - 3*x(v).\nAnswer: -v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2*s**2*v**2 + 2*p**2*s**2*v + 5*p**2*s + p*s*v - 21*s**2 + 5*s*v - 5*v**2 wrt s?\nAnswer: -2*p**2*v**2 + 4*p**2*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20*q - 5. Let z(v) = -v**2 - 18*v - 44. Let o be z(-15). Let k be w(o). Let d be (18\/495)\/((-1)\/k). Which is the closest to d? (a) 1 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 - 360672?\nAnswer: -360672.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 79 - s - 14)*(25*s**4 + 5*s**4 + 23*s**4).\nAnswer: -53*s**5 + 1855*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 144*l + 1216.\nAnswer: -(l - 152)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6073\/7 + -867. Which is the closest to -5\/4? (a) p (b) 1\/2 (c) 3\/2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a5d + -20?\nAnswer: -a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmnnnnnmnnnnnm. Give prob of sequence mmnm.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*u**3 - 3494776*u**2 + 26721222 wrt u.\nAnswer: 21*u**2 - 6989552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-24)*(-10)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + (sqrt(1300) + -1 - sqrt(1300)) - ((sqrt(1300) - -1*sqrt(1300)) + -1 + sqrt(1300))))**2*6 + -2.\nAnswer: 9000*sqrt(13) + 1755148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -97*x**3 + 56*x**2 - 11*x - 13. Let z(k) = -48*k**3 + 26*k**2 - 5*k - 6. Determine -6*u(h) + 13*z(h).\nAnswer: -42*h**3 + 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20, 59, 124, 215?\n\"Answer: 13*g**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.2 (c) 17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 15 = -2*y, 0 = -12*y + 8*y + 45 - 53 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576415 = 47*v + 64635 - 482317. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36054 and 4006.\nAnswer: 36054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 274.49766 months?\nAnswer: 0.22874805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1216)*3 + 5.\nAnswer: 5 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 41328*b**2 - 110208. Let q(u) = 2*u**2 - 6. What is 18368*q(g) - t(g)?\nAnswer: -4592*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 4:27 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2488002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00137540694 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-2)*2\/(-3). Let z(m) = -5 + 33*m - 32*m - 6*m**2 + 2*m**2. Let n(d) = -5*d**2 + 2*d - 6. What is i*n(u) - 4*z(u)?\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-20))\/(2\/(-16)). Let c = 0.05 - 4.05. What is the biggest value in c, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*c - 9, -2 = -4*c + 3*n - 17. Let s(z) = z**2 + 8*z + 13. What is s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045600180 rounded to the nearest one hundred thousand?\nAnswer: 2045600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2. Let i(k) = -14*k**2. Give i(v(d)).\nAnswer: -56*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4))\/(g*g*g*(g\/g**(-17))\/g*g*g))**(4\/23) assuming g is positive.\nAnswer: g**(-68\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taqxxktl. Give prob of sequence ka.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -377*c - 177. Let i be b(-1). Calculate the highest common factor of i and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxhdddhhdddhsddyddy. What is prob of sequence dx?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124\/195 + 2\/65. Let j = 1008\/5 + -201. Which is greater: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14 + 13 - 2*1. Sort 2\/3, 1\/3, v, -0.5.\nAnswer: v, -0.5, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.94 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (3\/(-4) - (-9)\/12). Let c(v) = v**2 + 2*v + 196. Let y be c(g). Find the common denominator of (y\/20 - 4)\/((-66)\/(-5)) and 121\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - (-7 + 6 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 19 = -7. Suppose u*w = 4*q + 5*w - 35, 0 = -2*q + 3*w - 5. Suppose 0 = 3*m + 3*a - 369, -5*m - 3*a = -q*a - 594. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.72 + 3.2. Let a = o + 0.08. Put -2\/7, a, 2 in ascending order.\nAnswer: -2\/7, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 7*t - 9*t. Calculate the highest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7047833, -7047851, -7047885, -7047941, -7048025?\n\"Answer: -g**3 - 2*g**2 - 5*g - 7047825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 + 89 + 13)*(-16 - v + 16) as o*v + j and give o.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4294, 4275, 4224, 4129, 3978, 3759, 3460?\nAnswer: 3069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 5:39 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {d: 1, t: 1, k: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20890307 divided by -59\nAnswer: 354073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 6*z**2 - 9. Is 5 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -10. Suppose -j*g = -2*g - 10. Let v be ((-1)\/(-2))\/((-9)\/10 - -1). Solve v*t - g = -5*h, 0 = -t + 2*t - h + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 18. Suppose a - q - 1 = 0. Does 5 divide 92\/a*12\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 270 = 15*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5002970349?\nAnswer: 3, 13, 10559, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 - ((17 + 7 + -11 - -6) + -35).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 9, 76 = -4*i - k - 7. Let g be (i\/(-12))\/((-1)\/(-45)). Let t be (564\/(-9))\/(10\/g). What is t rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x + 100 = 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (6 - 4) - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8626158 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-6 - -4)\/8). Solve i*c + 6 = -2*c + 3*a, 4*c + 20 = -4*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160 (base 10) to base 7.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2604\/3720*-1*1*-2.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(4\/13)*x)**(-29)*x\/(((x**(-11)\/x)\/x)\/x)*x**(-3))**47 assuming x is positive.\nAnswer: x**(-22654\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)*p**(-4\/5)*p*p\/(p**(-2\/29)\/p)*p\/(p**(-3)*p*p) assuming p is positive.\nAnswer: p**(329\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0645 and 10.15.\nAnswer: 0.654675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4262451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*h + 205, -3*h + 5*h + 67 = y. Suppose -4*z = -2*z + 3*l - y, -3*z - 4*l = -105. What is the remainder when 110 is divided by (-12)\/(-10)*455\/z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -256*b**2*f + 147*b**2 - b*f + 4*b + 6*f wrt f?\nAnswer: -256*b**2 - b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 684. Let b = 1136 + v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 + 0.17. Let w = -5.982 + 1.858. Let j = -0.124 - w. Which is the fourth smallest value? (a) g (b) j (c) 0.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = 3*a. Let d be (3294\/8)\/(17\/16*4). Let f = d + -97. What is the nearest to a in -0.1, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 21. Let z be 3 - 0 - 5 - -82. Suppose 0 = 3*x + j*v - 3*v - 75, 2*v - z = -3*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -3, 1, -25.\nAnswer: -25, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 172*l**2 + 972*l + 991. Give t(-80).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/2654 and 77\/16.\nAnswer: 21232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 2, s: 3, y: 2, x: 4}. Give prob of picking 1 c and 1 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 2*k**2 - 5*k + 5. What is b(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3601.\nAnswer: 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*o + 131*o = 66. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 312995 divided by -5?\nAnswer: -62599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.2. Suppose 5*k + 228 = -k. Let h = k + 41. Sort h, v, -1\/4 in ascending order.\nAnswer: -1\/4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424021.5us in nanoseconds?\nAnswer: 424021500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/17))**(1\/4) assuming k is positive.\nAnswer: k**(19\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -970*a**3*r - 5*a**2*r - 4*r wrt a?\nAnswer: -5820*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54075 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 445 - 449. Which is the smallest value? (a) 10 (b) s (c) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 6:13 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -11*w**5\/30 - 25*w**4\/12 + 2*w**2 + 2. What is the second derivative of y(u) wrt u?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711*w + 707*w = -3*l - 18, 90*l - 3*w + 891 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -13. Suppose t = -0*o + 2*o + 4. Is o less than 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + w**2 - 2*w**2 + 0*w**2 - 7*w**2 + 6*w**2 + 331.\nAnswer: 2*w**2 + 331","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*y - 3*y + 6 = 0, 4*y + 4 = -2*j. Suppose -3869 - 10243 = j*n - w, w = -3*n - 21168. Let u = n + 1956. What is u rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**15)\/b**(-6\/5) assuming b is positive.\nAnswer: b**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*d + 27 = 0, 5*q - 2*d = 3*q + 2. Let i = -0.1 - -0.1. Let h be (-18)\/(-120) + (-6)\/15. What is the nearest to h in i, q, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30230 or 30229?\nAnswer: 30230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-8) + -7 - 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3\/611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40104 + 252240?\nAnswer: 332344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 10618.\nAnswer: -4, -3, 10618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-30)\/9*(-6)\/15*6 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 10. Calculate the remainder when z\/5 - (-404)\/10 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/(-75) + (-70)\/(-3) + 0. Suppose -h*o + o + 67342 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-210)\/60*(-540)\/21. Let i be (2 - 4)\/2 + 14. Let p = i + -3. What is the highest common factor of p and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.1. Let f = 3.91 - -0.09. Let w = -86\/95 - -4\/5. Sort w, g, f.\nAnswer: w, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7396252 to the nearest integer?\nAnswer: 2720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**3\/3 - h**2 - 2*h - 11. Is u(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 + 32*c**4 + 60*c**3 - 16*c**2 - 80*c.\nAnswer: 4*c*(c - 1)*(c + 2)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/3, 0.6, 1\/19.\nAnswer: 1\/19, 0.2, 1\/3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/3 + 254*z**3\/3 + 9532*z**2\/3 + 125296*z\/3 + 121472 = 0. Calculate z.\nAnswer: -73, -26, -24, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*f = -167*f - 21839 - 42533. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10120\/(-15))\/(-8)*3. Let q = z + -134. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1309560 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 10. Calculate the least common multiple of g and (2\/(-3))\/(20\/(-90)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -5*w - 171 - 820, -2*m + 37 = -5*w - 222 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 17 + 53. Suppose -5*x + 4*o + 5 = -16, -x + d = 4*o. What is the lowest common multiple of x and (6\/(-49)*-28)\/(48\/1176)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 426585.1787 + -426612. Let l = k - -26.98. Let d = -0.16 + l. What is d rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 <= -40837781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2 + 8*d - d - 4 + 1. Let k(z) be the third derivative of -5*z**4\/12 + z**3\/6 - 4*z**2. Give 7*f(a) + 5*k(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 23, -4, -5 in decreasing order.\nAnswer: 23, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*o - 7. Let b be (-134)\/o - (-8)\/12. Let q = -20 + b. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245367 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpcpmcpmcmcpmp. Give prob of sequence ppmm.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.4. Sort 4\/5, 0, j in decreasing order.\nAnswer: 4\/5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 4. Suppose 3*v - 18 = -2*c, -22*v - c = -21*v - 7. Suppose 52 = v*l + 88. What is b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -653*i**3 + 6*i**2 - 138*i*n - 56*i - 1217*n + 70949 wrt i?\nAnswer: -1959*i**2 + 12*i - 138*n - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3937, -3957, -4003, -4087, -4221, -4417, -4687, -5043?\n\"Answer: -2*v**3 - v**2 - 3*v - 3931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**3\/6 - 2*y**2. Let c = 10 + -6. Let z = -6 + c. Let o(h) = h + 7. Calculate z*o(t) - 14*g(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178132 by -89066.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 4. Let r be p(4). Suppose w - 4*t - 24 = 0, -r*w + 0*w + 16 = 4*t. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31170 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 + 3*v - 7. Let q(w) = w**2 - w + 1. Let n = -20 - -25. What is n*q(a) + y(a)?\nAnswer: 2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 30. Let b(p) = -1. Let v(h) = 6*b(h) - y(h). Does 6 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-31)\/62*28\/(-77). What is the third biggest value in v, 2.2, 2, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02465 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**5\/60 - 115*v**4\/3 - 105800*v**3\/3 - 4*v**2 - 334*v. Factor x(h).\nAnswer: -(h + 460)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424765.\nAnswer: 3, 5, 7, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bnnnqqqqnbbbnbn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let r be k(2). Let l be 24 + -1 + (-1 - 0). Let f be -2 + 1 + l + r. Solve -p + f = -3*v, -3*p - 7 = -6*p - v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 707\/(-77) - -3 - -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 smaller than 2324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -996 - 162. Let g = -810 - b. Suppose 3*k + 129 - g = 0. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91675, 183408, 275147, 366892, 458643?\nAnswer: 550400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 128\/3 in 0, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, -5, -7, 82 in descending order.\nAnswer: 82, 12, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043779 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (128712\/5536)\/(12\/(-32)*2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-10 - 0) - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2. Let v = 5 + -1. Let h(t) = -v + 9 - 4. Let u(c) = 5*h(c) + s(c). What is the first derivative of u(k) wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**5 - g**3 - g**2 - 1. Let x(v) = -170*v**5 + 4*v**3 + 4*v**2 - 107*v + 4. Let t(l) = 4*f(l) + x(l). Find the second derivative of t(y) wrt y.\nAnswer: -3320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = z - 4*x, 3*z - 8 = -2*x - 0. Is z > -70\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11419528*y**4 + 15485867*y?\nAnswer: -137034336*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i**2 + 12*i. Let n(x) = -10*x**2 - 9*x. Let u(t) = -3*b(t) - 4*n(t). Let a(z) be the third derivative of -z**5\/30 + z**2. What is u(a(y))?\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -3 (c) -1 (d) -1.8 (e) 48 (f) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*l = -1344 - 136 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 66*s**2 + 5*s + 24. Is b(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - 4.04. Let j = 5 + o. Let h = j - 1.3. Sort h, -0.2, -2 in descending order.\nAnswer: -0.2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 94, 212, 352, 508?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*m - 204*m = 289 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 35*w - 75\/2*w**2 - 5\/4*w**4 + 15*w**3 + 190. Factor z(t).\nAnswer: -5*(t - 7)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*v + 42 + 88 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 7. Let y be d(-7). Let q(p) be the second derivative of 1\/3*p**3 + 0 - 1\/10*p**5 + 0*p**2 + y*p**4 + p. Find l, given that q(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(1\/(-14)*-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 15*k + 12*k + 14 - 9 = 0, -k = 2*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d + 41. Let n(u) = 2*u - 6. Let s(z) = 15*n(z) + 3*v(z). Calculate s(-14).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23904\/1660 - (-98)\/(-70).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (144\/598 - (-44)\/(-286)) + (-2088360)\/(-460) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 3*x**2 - 17*x + 98. Determine f(-14).\nAnswer: 2492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23175.972703 - -23176. Round g to four dps.\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - i - 16, -20 = -5*p - 5*i. Suppose 0 = 5*m - 14 + 4. Suppose -3*k = m*j - 222, p*j - 4*k - 755 = -311. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 1088 = 3*z - 1116, -2*x + 4*z - 28 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27415, 27429, 27453, 27493, 27555, 27645, 27769?\n\"Answer: b**3 - b**2 + 10*b + 27405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l. Let x(c) = -3*c. Let v = -12 - -21. Let r(j) = v*x(j) - 4*o(j). Let h(k) = 6*k + 0*k - 10*k - 7*k. Determine r(h(n)).\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 4. Suppose -3*d = -k*d. Solve d*a = 3*a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d = 19*d + 2465. What is the remainder when d is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12094 is divided by 378.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -443, -660?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8978*s**2 - 5*s - 5. Let p be c(-4). Suppose -5*l - 3*k + p = -30225, 0 = 3*l - 5*k - 104360. Let y = l + -20580. Round y to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8484 and -2968757.\nAnswer: -2977241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0*s**2 - 2*s + 24 - 27 + 6*s**2. Let b be f(-2). Suppose 4*j - b = 7. Calculate the smallest common multiple of j and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 148. Let y be 1\/(-5)*(-5)\/(-2). Which is the closest to 2? (a) y (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2. Let y(q) = -5*q**2. Let i(o) = 2*o**2 + 14*o + 14. Let j be i(-6). Give j*y(l) + 14*s(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2536792*i**2*s - 1011*i*s - 5*i - 2*s - 91 wrt i.\nAnswer: -5073584*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*(-30)\/(-1))\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158937828 is divided by 923?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99506609.\nAnswer: 293, 339613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 - 48*d**4 - d**3 - 6*d**2 - 23*d + 3 wrt d?\nAnswer: 120*d**3 - 1152*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - 1858 = 11*m + 2*a - 1918, 11*m = 5*a + 33 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**3\/3 + 4*q**2 + 14*q - 8. Find the common denominator of (131\/4 - -7)\/(66\/(-4)) and d(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 25.67. Let u = -0.3508 - k. What is u rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdxxdxdddxddddxxxxxx. What is prob of sequence xdd?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9422243 = -12657757. Round k to the nearest 100000.\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5505567?\nAnswer: 3, 1835189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = i - 4. Calculate the remainder when 51 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48380486 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + -4 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:32 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266 (base 14) to base 13.\nAnswer: -2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841570 is divided by 145?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -30*x**3 - 4*x**2 - 10*x - 16. Let q be u(-6). Round q to the nearest one hundred.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/15)\/((k*k**(3\/22))\/k) assuming k is positive.\nAnswer: k**(-23\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 9. Suppose 4*n + 0*n - 16 = t. Let j = -7064 + 7067. Solve -w = -j*w - n*o + 10, -25 = -5*w + 4*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 256 = 0. Suppose 4*j + 0*j = s. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Suppose 0 = -d - s*d + 25. Solve 4*n + d = -11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (29 - -33)*(0 + 1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide (-174 + 0)\/3*-10 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74.2 - 2.8. Let y = 77.172 + a. Let p = -0.314 + y. What is p rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*d**2*k**3 + 34*d**2*k - 4438*d*k**2 + 279330*k**3 - 13*k**2 wrt k?\nAnswer: -1104*d**2 + 1675980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20685171?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4721385 litres?\nAnswer: 472.1385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11067 + 11061. Let w(j) = -j - 29. What is w(z)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(175)*-3 - (0 + sqrt(175) + 1))*5 + -2.\nAnswer: -7 + 350*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10*21554\/7020 - -30)*-6\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 + 9*m**2 + 3. Let z(x) = -5*x**3 - 17*x**2 - 5. Give -7*r(i) - 4*z(i).\nAnswer: -i**3 + 5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8100 divided by -270?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 837.9 in 12.2, -2, 3?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14230 (base 5) in base 6?\nAnswer: -5302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101700627 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -3, 3, 547.\nAnswer: -3, 2, 3, 4, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 700?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6406250 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 11:59 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 5, y: 1, f: 1, w: 1, q: 5}. What is prob of sequence qic?\nAnswer: 25\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 2*c**2 - 8*c + 10. Is 7 a factor of i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 1, l: 1, b: 2}. What is prob of picking 1 b, 1 o, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*l + 2 = -6*l, 3*l = -3*y - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1356815 = 15*t - 10*t, -7 = t. Round v to the nearest ten thousand.\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -859?\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 12\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91\/4 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u - 333. Determine v(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, -0.29, 1\/2, 0.03?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -12 + (-10 - 0) + -6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 37*i**2 - 43*i + 193. What is the remainder when 204 is divided by o(38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15825)\/(-3) - ((-45)\/9 + 6).\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.612 - -9.612. Which is the fourth biggest value? (a) k (b) -0.3 (c) 7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-5 - 4 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3589 plus -0.0329224?\nAnswer: 3588.9670776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 164, 82, -2, -88?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 20871?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -2 + 4)*-1. Calculate the common denominator of 7\/6 and 2*(f + 372\/176).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 57*s**2 + 31*s - 18. What is the tens digit of y(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -b - 2, o - 13 = -b - o. Solve -2*q = -b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*i = 1526, 2*t - 665 - 343 = -5*i. Let d = -202 + t. Suppose 81 - d = 11*v. Which is smaller: v or -41\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/7 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 22*g**2 - 22*g - 17. Let m be z(-21). Suppose -36*r = -37*r - m. Sort 5, r, -2, 2 in decreasing order.\nAnswer: 5, 2, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 - 184*x**2 - 135*x + 727. Calculate m(62).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2993, -3002, -3023, -3062, -3125, -3218, -3347, -3518?\nAnswer: -3737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29643421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 2*w - 2*w + 7. Let n be u(-5). What are the prime factors of n - -1 - (-24)\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-340)\/(-102))\/(1730\/51381).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060106 (base 10) in base 13?\nAnswer: -2b16a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 0*n**2 + 6*n - 3 - 2. Let a(z) = -5*z**2 + z - 1. Let p be a(-1). Let q be d(p). Solve -f - q*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:31 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 - -535. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/(-1170))\/((-10)\/(-52)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 4*f**3 + 14224 - 14199.\nAnswer: 2*f**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354218825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16208 - 3835 = -17*u. Suppose u*w = 1176*w + 162. Solve -60*p = -w*p - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 143.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g + g - 5*g + 1302 + 20*g.\nAnswer: g + 1302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 0, b + 4 - 19 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(75)*-2.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u = 38*u + 3*w - 2, 10*u - 4*w + 7 = 13*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*y - o, 81*y - 83*y = -3*o + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - (-116)\/(-36) - (-1736)\/36 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/4)\/1 - 435\/(-210). What is the nearest to -1 in 2\/9, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, t: 2, v: 3, i: 3, w: 3}. Give prob of picking 1 w and 3 v.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.5? (a) -0.07 (b) -0.026 (c) -1\/5 (d) -1\/3 (e) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 630733270 to the nearest one hundred thousand.\nAnswer: 630700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 4 + w + 0*w**2 + w**3 + 2*w**2 - 2*w**2. Let z = 4 - 6. Let g be -1 - 1 - z\/(-2). Calculate m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06816257825739 + -0.1\nAnswer: -0.03183742174261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105 - -101 - (-1716)\/430)*5?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a (base 12) in base 11?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-1)\/((-7)\/(-2))*(-525)\/(-180))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 3. Let h be r(3). Let t be 3\/(-18) - (-57)\/18. What is the third derivative of 5*d**2 - d**t + 0*d**h - 2*d**2 + 2*d**2 wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -41. Solve -14*l + 9*l = -o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 - -8) + (3 - (9 + -1)). Let l be (-3)\/(2\/((-20)\/(-3))). Let b = h - l. Sort 3, b, -1, 5.\nAnswer: -1, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1768470500?\nAnswer: 2, 5, 37, 109, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:12 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one eighths of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3205, -25648, -86553, -205150, -400669, -692340, -1099393?\n\"Answer: -3205*a**3 - a**2 - 5*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a = -22*a - 4*f + 10, -a + 5*f - 22 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((39\/(-12))\/(-1))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*j**3 - 20*j**3 + 3 + 44*j**3 to v*j + c*j**3 + i*j**2 + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*z + 36 = 229*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 11. Let f(s) be the second derivative of 0 - 1\/3*s**3 - 20*s - 3*s**2. Suppose -4*d - d + 20 = 0. What is d*x(v) + 7*f(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23131464*u**3 - 16*u**2 - 3087941*u - 3.\nAnswer: 138788784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 2. Let x be (-5 + 2 + -1)\/(-1). Suppose d - 4*d - 4 = -2*q, -5*d - x*q = 14. Determine w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**7\/126 - 3*u**6\/20 + 9*u**5\/10 - 107*u**4\/72 - u**3\/3 + 3*u**2 - 127*u. Suppose t(j) = 0. What is j?\nAnswer: -1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2695267.5 months to millennia.\nAnswer: 224.605625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.4216724us to days.\nAnswer: 0.000000000224787875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21244, -24728, -28212, -31696, -35180?\n\"Answer: -3484*k - 17760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1792947025.\nAnswer: 5, 71, 163, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 2*p. Let l(n) = -2*n - 40. Let u be l(16). Let b = u + 78. Let j be 33\/(-22)*(-20)\/b. What is k(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5 (c) -0.26 (d) 2\/13 (e) 76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -45399, -313 in descending order.\nAnswer: 2, -313, -45399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Suppose a*z = 7*z. Suppose -2*d + 6 + 2 = z. Solve d*p + 19 = -f, 4*f + f = -2*p - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 - 4*o. Let j(v) = -2*v**2 - 2*v + 3. Let i(f) = -5*f**2 - 5*f + 8. Let z(u) = 3*i(u) - 8*j(u). Let r(p) = 4*d(p) + 14*z(p). Factor r(h).\nAnswer: -2*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = i - 1, -4*m - i - 2*i + 2 = 0. Is -2\/2687 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 233 + -231. Solve -4*b + x*g + 3 = -3, -g = b - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 46*s**2 - 14*s - 4. Let i be t(-4). Suppose 5*w - 1112 = i. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-3 + 3 - o)*(-3 + 1 + 3).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -51*c**3 + 40*c + 72. Let s be w(-2). Suppose -376 = -10*q + 124. Calculate the greatest common factor of q and s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6346*s**2 - s - 4752*s**2 + s as n*s + j*s**2 + m and give j.\nAnswer: 1594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.1 >= 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + 46. Let j = v + -93.9. Let y = 4 - j. Which is smaller: -0.2 or y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3783*l - 2400 + 1591 = 2974 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -52*j - 1. Let f be u(4). Let c = f + 348. Suppose -3*i = 5*n - 346, i - c = -0*n - 2*n. List the prime factors of n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -400, 4, -24, 3, 294, -4 in decreasing order.\nAnswer: 294, 4, 3, -4, -24, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213008 is divided by 277?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101158 and 2967696.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*h + 2590, -2*h - 176 + 6658 = 5*s. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*j, 0*j = -3*b + 4*j + 20. Let m(q) be the first derivative of 1\/11*q**2 + 0*q + 2 - 1\/22*q**b + 2\/33*q**3 - 2\/55*q**5. Factor m(t).\nAnswer: -2*t*(t - 1)*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498 divided by -6.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 8307952.8 to the nearest ten thousand.\nAnswer: 8310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4049 + -4033. What is the greatest common factor of f and 1600?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -96, -3, -6, 24, 0 in descending order.\nAnswer: 24, 0, -1, -2, -3, -6, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 1\/600*r**6 + 11\/300*r**5 - 22*r**2 + 0 + 19\/120*r**4 + 3\/10*r**3 + 0*r. Factor d(a).\nAnswer: (a + 1)**2*(a + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4782053 and 9302970.\nAnswer: 2725770210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147767061*r**5 + 107354*r**2 + r + 9.\nAnswer: 8866023660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16472b - -16?\nAnswer: -164715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0.1, 29821, -0.5, 4 in increasing order.\nAnswer: -3, -2, -0.5, 0.1, 4, 29821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - d**3 + 2*d**2 + 35 + 2*d**3 - 35 + (1 + 2 - 4)*(-2*d**3 + 0*d**2 + 0*d**2).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let n(v) be the first derivative of 16*v**3\/3 - 8. Give n(f(g)).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -710139 at least -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/506 and 5\/414.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*b - 82*b + 438*b + b**2 to the form h*b**2 + f + n*b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b. Let d(a) = 7*a**2 - 33*a - 59. What is d(p(x))?\nAnswer: 343*x**2 - 231*x - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcfppdcfd. Give prob of sequence dcc.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*o = -40 + 18, 2*o = -4*l + 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 0*v**4 + 0 + 0*v**3 + 2\/5*v**5 + 4*v + 9\/2*v**2. What is the derivative of d(l) wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713300 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.09, 4, -44, -34?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-132 + 139 + -24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - -99. Suppose -4*s - 4*p + 464 = 0, 2*s - 5*p + 2*p - 247 = 0. Let u = 199 - s. Calculate the greatest common factor of u and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-9))\/(2\/3). Let b(t) = 2*t - 2. Determine b(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 48*x. Let d(m) = -1725*m**2 - 2*m + 15. Calculate i(d(s)).\nAnswer: -82800*s**2 - 96*s + 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 32. What is the closest to -0.1 in 0, 0.2, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*a - 152*a = x - 63, 4*x + 5 = 2*a - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 460, 1, 4\/5, 2, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.259 * -0.01.\nAnswer: 0.02259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/7 (b) -3.2 (c) -1\/2 (d) -0.16 (e) -4 (f) 3 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 3*k - k)*(-k - 2*k + k) + k**2 - k**2 - 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -14405*r**2 + 2*r + 117. Let d(o) = 7*o. What is d(y(k))?\nAnswer: -100835*k**2 + 14*k + 819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 314*j - 4408. Give c(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyyh when four letters picked without replacement from yyyhhkhhk.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 35*b - 82. Calculate p(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5903700.5000002 - 5903702. Let t = -1.5 - l. What is t rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 - -102. Let d(i) = -3*i**2 + 4*i. Give d(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16097, -16063, -16017, -15953, -15865, -15747?\nAnswer: -15593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**4 + 240*k**3 + 2860*k**2 - 960*k - 11520 = 0.\nAnswer: -24, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -185444766 divided by -4754994?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:57 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94433*h**2 - 920 + 460 - 94436*h**2 + 460.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from gqgyyohl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 6 = 0. Let l(k) be the second derivative of -k + 0 + 0*k**g + 0*k**3 + 1\/12*k**4. Let c(h) = -3*h. Give c(l(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 13 - (1 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.69 + 3.69. Let x = -69 - -553\/8. Sort -3\/4, i, x in descending order.\nAnswer: i, x, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -42. Let j(f) = f - 1. Let o(n) be the second derivative of n**3\/3 - n**2 + 2*n - 338. Give r*o(w) - j(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**3 - 3*l**2 + 2. Let s be p(-1). Suppose -5*a = q - 18, s*a + 8 = -3*q + 32. Put q, -1, -11 in ascending order.\nAnswer: -11, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421186 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 g when three letters picked without replacement from giigfiffiaifig?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttntttttt. Give prob of picking 1 t and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -2. Let o(n) = -n + 1. Let p be o(h). Suppose c + 5*f = -p*c + 12, -c - 5*f = 6. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 1436*i + 9856.\nAnswer: 4*(i + 7)*(i + 352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12641583266 - -10.\nAnswer: -12641583256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 66 = 0. Suppose -x = -3*f + 2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189.99942 - 190. Round k to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/9*(1 - 4). Suppose -5*u - g - 8 = 0, 2*u - 3*g + 11 = -6*g. Is (n\/4 - -56) + u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.04 (b) 0.3 (c) 1 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/3 - 26\/78. Sort f, -1, 5 in descending order.\nAnswer: 5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**2 - 6 - 25*l - 5 + 18*l + 3*l**3. Let b(u) = -2*u**3 + 4*u**2 + 3*u + 5. What is 9*b(z) + 4*p(z)?\nAnswer: -6*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (20\/3050)\/(25\/((-625)\/10))\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 11*k**2 - 11*k + 12. Let p be w(9). Suppose -p = -5*o - 5*z, -6*o = -5*o - 3*z - 19. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 666 * 0.04.\nAnswer: 26.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - (-9)\/72*-8. Calculate the greatest common divisor of 216 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 3:47 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*g + 618*g = 1621*g - 505*g + 180 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -2\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.80275 rounded to zero dps?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/11 + 20340*o**2\/11 + 61029*o\/11.\nAnswer: -o*(o - 20343)*(o + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = w - 57, -193 - 15 = -4*w + 2*d. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 divided by 107779\nAnswer: 103\/107779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76721517.\nAnswer: 3, 8524613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -3*l**8\/112 + 11*l**4\/12 + l**2. Find the second derivative of n(b) wrt b.\nAnswer: -180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20694161 is divided by 1099.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**2 + 1. Let b be y(-1). Let n be (-2)\/b - 2\/48. Let d = -3\/8 + n. What is the nearest to d in -4\/3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkkkskquhqsu. What is prob of picking 1 s and 1 u?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 38*l - 3*y = -64202, 0 = -5*y + 30. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 321 - -346. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 0, -0.5, -143\/5.\nAnswer: -143\/5, -0.5, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -5*h - 746 + 736, 4*h + 6*t - 32 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/33)\/(28\/(-18))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.032 times -0.1\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -4*n + 1, -2*n - 5*c = -31. What is the second derivative of 2*u + 2*u - 7*u + 189*u**2 - 7*u - n*u wrt u?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 298.9 and 85160.3.\nAnswer: 85459.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2. Let a(f) be the second derivative of -7*f - 5\/6*f**4 + 0*f**2 + 0*f**3 + 0. Calculate l(a(q)).\nAnswer: -200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -5*h + 0*h**2 - 11\/4*h**4 - 12 + 0*h**3. Find the first derivative of c(z) wrt z.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 + (-105)\/36)*(-549)\/(-6) and 272\/110 - 2\/10.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 63. Let t(n) = 11*n**3 - n + 1. Give t(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -104, -1\/4, -1, 1\/34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y**(-14)*y)\/y))\/y*((y*y**(-2\/9)\/y)\/y)\/y*y*(y\/(y*(y*y**(1\/3))\/y))**15 assuming y is positive.\nAnswer: y**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)\/2 + -1. Let v = -1855\/28171 - 24\/2167. Are f and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Solve d*j + 3*i + 9 = 0, 0*j + j - 5*i = 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 2*u**2 + u. Let z be r(1). What is the common denominator of -1*(-1)\/z*-2 and 50\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1289 + -0.641635174.\nAnswer: -1289.641635174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81280 and 71755.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**4\/4 + 7*q**3\/3 - 2*q + 1. Let p be v(-5). Suppose -p = -2*g - g. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18\/5 - -4. Let h = 233\/15 - 46\/3. Let b = h - 0. What is the third biggest value in -0.3, r, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65029611, -130059219, -195088827, -260118435, -325148043?\nAnswer: -390177651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -956, -1909, -2862?\n\"Answer: -953*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/2)\/((n*n*(n*n**(-6))\/n)\/n)*(n**1)**(-6) assuming n is positive.\nAnswer: sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 13 - 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*i - 16 = -6, m + 4*i + 11 = 0. Let d be (-14)\/(-3) + m\/3. Solve -c + 18 = -d*w, -6*c = -4*c - 5*w - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5 + 15*k**4 + 45*k**3 - 135*k**2 = 0. Calculate k.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1700\/80 + -7 - (-2)\/(-1).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - (-23 + 17))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 3. Let j(s) = s**3 - 4*s**2 + 4. Let p be j(3). Does 4 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2313*b**2 + 958*b + 7125388.\nAnswer: 4626*b + 958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:05 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d - 1 - 10*d - 11*d.\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -29, -56, -103, -176, -281, -424, -611?\n\"Answer: -z**3 - z**2 - 3*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11250549 <= 11250552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 390?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-1*sqrt(114) + sqrt(114))*-5 + sqrt(114) + sqrt(114))\/((sqrt(24) + sqrt(6))*-6))**2 + -4.\nAnswer: -143\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + 4*y**2 - 4*y + 16. Let a(u) = 5*u**3 - 5*u**2 + 5*u - 14. Calculate -4*a(l) - 5*x(l).\nAnswer: 5*l**3 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 2*v**2 - 2*v**2)*(114 + 30*v**2 - 114 + (-5 + v + 5)*(0 + v + 0)).\nAnswer: -93*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -27. Calculate the remainder when 15 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(9\/(252\/7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 354276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -83. Let o = 28 - l. Let c be ((-45)\/(-30))\/((-2)\/o). Sort 0, 4, c in decreasing order.\nAnswer: 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66656?\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*s = -b + 16, 57373 = -2*b + 4*s + 57383 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 + 657*y**4 + 37566*y**3 + 173634*y**2 + 97263*y - 309123 = 0 for y.\nAnswer: -107, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u + 0*u - 3*u)*(2*u - 2*u**2 - 2*u) - 2*u**3 + 3*u**3 - 2*u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15849*b + 47557. Determine a(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -11*z - 6. Let d be ((-102)\/(-8))\/(z\/104). Suppose a - 7*h = -2*h + 217, -2*a + d = -2*h. List the prime factors of a.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6512215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.41938 + 13.62. Let w = 0.01 - -0.19. Let h = j - w. Round h to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*s + 3*m - 6*m, 0 = -2*s + 2*m + 8. Suppose 3*v + f = 22, v - 18 = -s*v - 3*f. What is the smallest common multiple of v and 60\/9*1\/3*9?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202\/5 - 40. What is the nearest to 2\/3 in f, -0.5, 2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -9, 2, 1075, 1 in ascending order.\nAnswer: -29, -9, 1, 2, 1075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-v**2 + 2*v - 2*v) + (-1 + 0 + 3)*(3*v**2 - 3 + 3).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 10 - (-135 - -119)) + -15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/20 - d**4\/12 + d**3\/3 - 3*d**2 - 6*d. List the prime factors of l(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-8)\/(a\/((a*a**(-2\/21)*a)\/a)*a))\/(a*(a**(3\/5)\/a)\/a*a**(-7)))**31)**(-3\/2) assuming a is positive.\nAnswer: a**(2759\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5321 and 67295.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5*x - 30, -3*q - 3*x = q + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**9*u*u)**(-23))**(-32))**19 assuming u is positive.\nAnswer: u**153824","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309368 is divided by 1509.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*d + 89*d + 76*d.\nAnswer: 65*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1703*g + 2985*g + 8364*g - 1583*g in the form a*g + v and give a.\nAnswer: 11469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 r when three letters picked without replacement from urrrrutru.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1667 - -1667.07314. Let a = 0.076 - z. What is a rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/12*(0 - -24). Calculate the greatest common factor of 12 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 35*c + 135*c - 2465 = 0 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.9 (b) 1770\/11 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*k**3 - 36*k**3 + 77*k**3)*((2 - 1 + 0)*(k - 1 + 1) - 1 + 2*k + 1).\nAnswer: 222*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-20))**(2\/15) assuming l is positive.\nAnswer: l**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) -0.05 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(70) + 2*sqrt(70))*5 - sqrt(70) - (sqrt(70) - (2*sqrt(70)*-1 + sqrt(70)))))\/((sqrt(1440) - sqrt(1440)*-1)*5 + -2*sqrt(1440)*2).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 846541900 divided by 291911\nAnswer: 2900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, i: 4, v: 1}. Give prob of picking 1 c and 1 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -26. Let f = -35 - q. Let k(y) = y**3 + 5*y**2 - 4*y - 3. Let c(j) = j**2 - 1. Let m(x) = -c(x) + k(x). Determine m(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 17\/3885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0342 and 1.\nAnswer: 0.9658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 5*x**7\/56 - 5*x**6\/72 - 82*x**3\/3 + 21. Let b(c) be the third derivative of i(c). Find the third derivative of b(z) wrt z.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -93, -42, 41, 156, 303, 482?\n\"Answer: 16*h**2 + 3*h - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - 30*i**2 + 35*i - 6. Let c be h(-16). Let l = 75 + c. What is the least common multiple of l and 132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2954339 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqv when three letters picked without replacement from ndqvqnyzndvn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 160*z**3 - z**2 + 2*z + 4. Let n(h) = -158*h**3 + 2*h**2 - 4*h - 5. Determine 2*n(d) + 3*x(d).\nAnswer: 164*d**3 + d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1886.603498 to 0 decimal places.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 3*k + 2*k)*(-3 + 7 + 3)*(0*k - 2*k + 0*k).\nAnswer: 70*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n + 61. Let w = -14 - n. What is the units digit of -2 - (-24)\/1 - w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + s - 1. Let t be (-33)\/(-39) - (2 - 28\/13). Determine i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/5235?\nAnswer: -1\/5235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563 divided by 1.\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (18 - 18))*(-3)\/6. Which is the smallest value? (a) 3\/7 (b) 1 (c) 1\/4 (d) u (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*a = -6, 25*p - 5*a - 9 = 27*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11942 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**4\/12 - 52*w**3\/3 + 4*w**2 - 3*w + 68. Let z(q) be the second derivative of -q**3\/3 - 3*q. What is z(k(s))?\nAnswer: -4*s + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w + 75 = 75. What is the second biggest value in 0.3, -4\/7, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11619732 divided by 6?\nAnswer: 1936622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**3 - 12*j**2 + 8*j - 3. Let f(z) = -3*z**3 - 8*z**2 + 5*z - 2. Calculate 8*f(t) - 5*h(t).\nAnswer: -4*t**3 - 4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93144231 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, l: 3}. What is prob of picking 3 l and 1 y?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 599553?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(14\/9))**8\/(f**7\/(f**(4\/7)*f))**48 assuming f is positive.\nAnswer: f**(-17200\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1*(-13 - 0)). Let w = -35\/6 - -13\/2. What is the second smallest value in w, -4, k, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3745)\/252)\/((-6)\/(-9))*(-32)\/(-5040) and 67\/28?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 at most as big as -614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*-3 + -1)*-4 + -5)**2.\nAnswer: -24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16946714 and 1084?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -111402155 (base 6) to base 3\nAnswer: -10211112100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 h when three letters picked without replacement from irvvihviiqrq?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j - 9*j + 2 + 27*j to h*j + q and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7*m\/(m\/(m*m**(-2))))\/((m*m\/(m*m**7*m))\/m**0))\/((m**(1\/4)*m)**(-13\/2)\/(((m*m*(m\/((m*m**3\/m)\/m)*m)\/m)\/m)\/(m**(4\/3)*m*m))) assuming m is positive.\nAnswer: m**(427\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*u + 52. Let o = 113 - 68. Calculate the highest common divisor of o and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + 0.01. Let b = -0.02 - y. Let n = b + 0.94. What is the closest to n in -0.1, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2*x**4*(x*x**(-4\/9))\/x*x**(-4\/3)*x assuming x is positive.\nAnswer: x**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 + 1. Let m(o) = 40*o**2 + 2*o. Give m(p(h)).\nAnswer: 1000*h**4 - 410*h**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*c = 10. Let m be 15\/(-10) - (-3)\/c. Let j be ((-4 - m)*-6)\/1. Solve -2*f - 2 = -j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1266? (a) -8 (b) 335 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*z**5 + 1407*z**4 - 9603*z**3 + 28650*z**2 - 39588*z + 20808 = 0 for z.\nAnswer: 2, 3, 289\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9128 - -9124. What is the third biggest value in -6\/11, f, 0.4, -0.1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.015?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:16 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 180\/(-255)*(-1802)\/371. Solve b*v**4 - 8*v**3 + 8\/7 + 64\/7*v**2 - 4\/7*v**5 - 36\/7*v = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**3\/6 + q**2 + 28*q - 3. Let j(c) = 3*c**2 + c - 5. Give 3*j(m) - 15*v(m).\nAnswer: 9*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 660*g**3 - 26*g**2 + 36*g + 25. Is i(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 33*h**2 + 3412*h - 5576. Give i(-105).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (893*w**2 + 1159 - 1159)*(-146*w**2 + 12847 - 12847) in the form z*w**4 + m*w + o + b*w**2 + a*w**3 and give z.\nAnswer: -130378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 20 + 5. Let w(b) = 2*b**3 - 5*b**2 + 4*b - 2. What is the tens digit of w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/8 + 2)*(-328)\/(-246).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*i - 1. Solve 2*v - q = 8, 0 = v + i*v + q - 22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/36*-6)\/((-4)\/(56\/21)).\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -1\/4, 2\/25, -1\/13?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 845123370 from -0.1705.\nAnswer: -845123370.1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + (-12 - 5) - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159378120*l**2 - 202458*l - 27 wrt l.\nAnswer: 318756240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 132, 127, 118, 105, 88, 67?\n\"Answer: -2*x**2 + x + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 9 = -2*b. Let q = b + 24. Suppose -8*m + q*m = -44. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5\/4 + 75*m**4 + 1131*m**3 - 5448*m**2 + 5760*m = 0. What is m?\nAnswer: -80, -24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1480.77 meters?\nAnswer: 148077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/5962926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 + 8*z**3 - 2 + 2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 4 - (-2 - 3)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 + 4584*t\/7 + 4582\/7.\nAnswer: 2*(t + 1)*(t + 2291)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123391845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 13*x - 21. Let u be g(-2). Sort u, -17, 3, -4 in ascending order.\nAnswer: -17, -4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 3*y**2 + 0*y + (-2*y + 3*y + 0*y)*(-5*y + 4*y - y) - 7772*y**2 - 7756*y**2 - 103 + 15542*y**2.\nAnswer: 9*y**2 - 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(2 - (-6)\/(-4)). Suppose 6*d - 4*d = i. Let a = 5 + d. Solve -11 = a*r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2)*(2 + -1). Let o be (-17370)\/(-82530) + (-6)\/28. Is o != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 500.467 centuries?\nAnswer: 600560.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 183.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 6:09 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2354 + 2777. Is 115 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a hour in seconds?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -173116, -170404, -165884, -159556, -151420?\n\"Answer: 904*b**2 - 174020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - 2.92. Suppose -m - x = -2*m, -2*m = 3*x - 10. Let l be (84\/42)\/(2\/(m - 3)). Sort 4, l, -3\/4, w in decreasing order.\nAnswer: 4, -3\/4, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 41184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = -g - 7, 4*u - 2 = g. Let v be ((-10)\/g)\/((-7)\/(-21)). Solve 0 = -5*p + 3*x + 2*x + 20, -v*x - 25 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 322, 301, 274, 247, 226, 217, 226, 259?\n\"Answer: t**3 - 9*t**2 - t + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-152)\/(-24) - 1\/3 - (7 - 3545).\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*i + 55 = -0*i, i = -5*k + 25. Suppose 4*y - 3 = c, 4*y - 36 = -3*c - 13. Suppose j + k = -c*g, 0 = j + 2*g + g + 2. Solve -j*n - 9 = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173834, 35, -19.\nAnswer: -173834, -19, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195*7.\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 25\/4)*(-16)\/6. Let b be (-3)\/(1\/(-4)*2). Let d = b + g. Solve v - d = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -665.0273 times -41?\nAnswer: 27266.1193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1830 divided by 12604\nAnswer: 915\/6302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 25 = 9*k. Solve 6*q - k = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25187 - 14295. What are the prime factors of h?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*10\/200 - 2\/(-10). Solve -5 = 2*n + 5*c, 2 = 3*n - 2*c - f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*p**3 + 498 - 498 + 82*p**3 + 45*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300909, -301594, -302279, -302964?\nAnswer: -303649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 380*g - 1870. Calculate t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 - -118. Suppose r - 3*j - z = 0, -4*r + 274 = -3*r - 4*j. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(441) - sqrt(441)*-3)*6.\nAnswer: 3*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2533719 + 3?\nAnswer: 2533722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/120 + w**5\/15 + w**4\/24 + w**3\/3 + 33*w**2. Let n(v) = -v**3 - 4*v**2 - 5*v - 2. Let k be n(-3). Calculate i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3838.178 litres to millilitres.\nAnswer: 3838178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*y, y = -g - 2 + 10. Suppose 5*n = 23 - y. What is the units digit of (n - 88\/7)\/(4\/(-70))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x**3 - x**2. Let u(q) = -q**3 + 3*q**2 + q - 4. Let b be u(3). Determine y(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z. Suppose 8 = 4*x - z*x. Find the first derivative of -2*t**2 + t**x - 3 + 4 - 6 wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/15 - 1792*g\/15 + 18986\/5.\nAnswer: 2*(g - 863)*(g - 33)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 7*j + 13. Does 39 divide q(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhjhjhj. Give prob of picking 2 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 9*h + 10. Let n be k(8). Suppose 10 = -4*r - n*l + 32, -5*l = 4*r - 31. Solve -2\/7*t**r - 2\/7*t**3 + 0 + 0*t + 2\/7*t**2 + 2\/7*t**5 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by (2 - 1)*5*(-18)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-268*2\/(-5520))\/((-14)\/325). Let j = -2\/483 - v. Are 1 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4910 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38501 = 2*g + 5*f, 2*g - g - 3*f + 19278 = 0. Let b = g + 346855\/18. What is the common denominator of 109\/22 and b?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3592600 rounded to the nearest 10000?\nAnswer: 3590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)\/k*(k*k**(-7))\/k)\/((k*k**(2\/7))\/k)**16 assuming k is positive.\nAnswer: k**(-221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -y + 3*p, 3*p = 2*y - 0*p + 4. Let a(u) = -10 + y + 8 + 1183*u. Let b be a(6). What is b rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80748, -322984, -726710, -1291926, -2018632, -2906828, -3956514?\nAnswer: -5167690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 772 by 386.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 37.58\nAnswer: 75.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 8:09 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m - 1. Suppose 0*x - 4*x = -20. Let l(j) = 3*j**3 + 5*j**2 - 5*j - 7. Let v be 10\/(-35) - (5 + 306\/(-42) + 3). Determine v*l(g) + x*h(g).\nAnswer: -3*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4673 + 568 = -12. Does b = 5251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 86, 129, 188, 269, 378?\n\"Answer: r**3 - r**2 + 29*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6534876 by 2724.\nAnswer: -2399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 8 - -19 - (-4 + 25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15730 and 89782.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + m + (0 + 0 - 2*m)*(0 - 1 - 1) - 211*m + 189*m + 173*m)*(1 + 3 - 5).\nAnswer: -154*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 3, v: 5, f: 3}. Give prob of picking 3 f and 1 i.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 375\/15*(-12)\/(-10). Let x = 26 - m. Let v be 1\/(15\/x + 4). Solve -v*j - 8 = -28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*b + 4*t = 227*b + 123145, -5*b + 2*t = -205259. What are the prime factors of b?\nAnswer: 41051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23936*p**3 + p - 3*p - 70727*p**3 - 46330*p**3.\nAnswer: -93121*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16310*j*u**3 - 5*j*u**2 + 4*u**2 + 20*u wrt u?\nAnswer: -97860*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -702 (base 10) to base 7.\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11164902, 22329814, 33494736, 44659674, 55824634?\nAnswer: 66989622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 2*n - 7 + 292*n**2 - 64*n**2 - 230*n**2 to h*n**3 + s*n + w + a*n**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2 + 2 + v - 1. Let j(l) = -448*l - 447*l - 2 + 894*l + 4. Calculate 5*c(i) + 2*j(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 426\/14 - (-48)\/84. Let n = -37 + r. Suppose 5 = u + 5*i, 5*u + 4 = 5*i - 31. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 78 - 758. Let p = 205 + o. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 2*z - 1. Let x = -12 + 14. Suppose 4*f + 10 = x. Let k be h(f). Solve 3 = -5*b - k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 11*m + 4. Let y be 0 - -1 - (3 + -7). Is d(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19803 is divided by 2475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.97 - -0.1513026719?\nAnswer: -4.8186973281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, -104, -172, -258, -368, -508, -684, -902?\n\"Answer: -f**3 - 49*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + 0.2. Let o = -949\/56 + 139\/8. Let v = -4 + 2. Which is the closest to v? (a) n (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (28 + 2)*(-18)\/(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 13 - ((-19 + 10 - 5) + 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1388 - 1368. Calculate the greatest common factor of n and 4340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -118. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6)*8\/2. Suppose o*a - 3 = a. Which is smaller: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 1\/6, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 8*f + 6. Let y be l(3). Let q(v) = -v**2 - 8*v + 14. Let u be q(y). Suppose s - 3 = 2. Solve -i + u*i - 9 = -r, s*i = 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029494 rounded to five decimal places?\nAnswer: 0.00295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -22*-1*5\/2. Let s be -5 - -64 - 0*(-3)\/(-9). Let o be s - 1 - 63\/21. What is the greatest common factor of o and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**4\/12 - 41*p**3\/6 + 6*p**2 + 174*p. Give l(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5183942 to the power of 1\/2, to the nearest integer?\nAnswer: 2277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -534443 (base 6) in base 8?\nAnswer: -125433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Let h = 7 - v. Solve 3*q = 4*u + 24, 14 = h*q + 3*q + 2*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (23354\/(-14))\/(11\/(-693)*9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008 and 1128?\nAnswer: 47376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 + 4*n**2 - 5*n - 5. Let j(z) = -z**3 - 3*z**2 - 2*z**3 + 4*z + 4 + 0*z. Let d = 14 + -10. Let t(v) = d*w(v) + 5*j(v). Factor t(s).\nAnswer: s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/15 + 178*y**2\/15 + 74*y\/3 - 182\/5 = 0?\nAnswer: -3, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.67 and 1.4.\nAnswer: -2.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 + 6*s + 4. Determine g(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t + 5*i - 5 = 0, -t + 4*i = -21. Let u(s) = 18 - 12 - 11 + 2*s. Does 5 divide u(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 + 204*a - 333*a + 10930 - 10930 - 266*a to the form f + h*a**2 + c*a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - a - 1. Let d(f) = -2*f**3 + 2*f**2 - 4*f - 4. Let s(n) = -d(n) + 4*w(n). What is the third derivative of s(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 8*q - 7. Let u be (9\/4)\/(21\/56). Let k be t(u). Suppose -2*p - k*z = -6*p + 1297, 0 = -2*p - 3*z + 643. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1814 = -4*q, -q - 3*h = 4*q - 2249. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = o, -2 = -7*s + 6*s - o. Suppose -5*a = 2*c - s*a - 62, 0 = -a - 2. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 1259256.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68 - -63b58?\nAnswer: 63bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12*l**2. Suppose x - 4*x = -66. Calculate the remainder when x is divided by c(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 6. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19664 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6 and (-71)\/213 - 1\/(-27)*53.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.1 * 0.2.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2518 and 0.3.\nAnswer: 755.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 249\/4 + -62. Let m = 3553\/15 + -237. Which is the second biggest value? (a) 4 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 3*f**3 - 41*f**2 - 8*f**2 + 3*f to d*f**3 + h*f + p*f**2 + y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 308*h - 37. Let d be l(-5). Let v = -1119 - d. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 825728659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from kswrswsskmwsks.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10 - 1624\/161) + (-2847894478)\/253. What is t rounded to the nearest 100000?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, 1 m, and 1 n when four letters picked without replacement from npnmxnpnd.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 57. Give m(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 23*d**2 - 17*d - 32. What is the tens digit of a(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34713 + 34427.83. Round z to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5. Let p(c) = -c + 9. Let g(y) = 9*f(y) - 4*p(y). Is g(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*m = -2*a + 431, -349 = -4*a + m. List the prime factors of a\/66*(-57)\/(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -367708 by 11.\nAnswer: -33428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 20504992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 419 from 0.134.\nAnswer: -418.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 208128721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 5*b**2 - b - 5. What is d(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 + 2*s - 3. Let t(w) = 8*w**2 + 2*w - 3. Calculate -6*t(b) + 7*x(b).\nAnswer: b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w + g, -140*w + 17 = -136*w + g. Let x = 2 - -15. Solve w*f = x - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/25 or -2168.55?\nAnswer: -2168.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*sqrt(7200)*2 + 4 - (4 + (0 + sqrt(7200) - sqrt(7200)) - (0 + sqrt(7200))*-3))*3)**2.\nAnswer: 10951200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*m = 4*y + 617*m + 22, -m - 20 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -0.3. Let i = j - 0. Suppose -20 = 2*v - q + 6*q, -4*q - 16 = 4*v. Which is the nearest to v? (a) i (b) 3\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - 12 - ((32 - -26) + -37).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, r: 2}. Give prob of picking 4 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**4\/12 - 5*c**3 + 15*c**2. Let b be d(-13). Which is greater: 0.02 or b?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -0.3 (b) -2\/9 (c) -2 (d) -1\/23 (e) 2\/49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09204 to 3 dps.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39701.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 876.6563 millilitres?\nAnswer: 0.8766563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*i**2*j**2 - 2*b**3*i**2 + 10*b**3 - 15*b**2*i**2*j - 4*b**2*i**2 + 6*i**2*j**2 wrt b?\nAnswer: -18*i**2*j**2 - 12*i**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 217*a**2 + 0 + 216*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/18149, -12, 0.3, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 2*h**2 + 5*h + 2. Let l be f(-4). Let k = -4 + l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g + 9. Let i be r(0). Let l be (0 + (-3 - -8))*108\/15. Calculate the greatest common factor of l and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 6*x + 1. Let b be z(-6). Let d = 42 + -40. Suppose 0 = -d*f + b + 3. Calculate the least common multiple of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-645)\/(-516))\/((-10)\/6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -85. Suppose -a*w + 0*w = 0. Suppose 4*u - 2*x - 360 = w, -u = 3*u - 5*x - 372. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 300559\nAnswer: 1\/300559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (372\/(-7564))\/((-4)\/122)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 53*r + 217. Give v(-49).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66\/25 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12861 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: Which is smaller: 139 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70807494 divided by -7302.\nAnswer: 9697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(22) + (1*sqrt(1078) + sqrt(1078) - sqrt(1078))))\/(sqrt(99) - (sqrt(99) + 5*(sqrt(99) + 3*sqrt(99)))))**2 + -5.\nAnswer: -117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - l - 103 = 0, l - 4 = -2*h - 47. Let d be (-664)\/(-22) - h\/(-110). What is the highest common divisor of d and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -88\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -511948 and -511950 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (126\/4 - 2)\/(2\/4). Suppose 3*p + d = l, 3*l = -4*p - 58 + 1. What is the tens digit of 3\/p + 3462\/36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f. Suppose -2*l = -4*r - 6, -r + 0*r + 3*l = -6. Let j be (3\/9)\/(1\/r). Give s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 79*y - 1. Let k(h) = -182*h. Determine l(k(s)).\nAnswer: -14378*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**8\/168 + 253*v**7\/105 - v**5\/30 - 311*v**3\/2 - 20*v**2 + 16. Find the third derivative of c(g) wrt g.\nAnswer: -120*g**2 + 12144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*-2 - 6*(sqrt(17) + sqrt(68)\/sqrt(4))**2.\nAnswer: -408 - 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1)*z**(-3))\/(z**(-5\/2)*z**4))**23 assuming z is positive.\nAnswer: z**(-161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from bffwwfwwfwfww?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*x + 148*x - 816570 = 0. Calculate the remainder when x is divided by 165.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*b + 5*q, 2*b + 3*q - 5 = 10. Let u = b - 11. Suppose -13 + u = -2*w. Solve 3*y - w = 6*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 6:19 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -117, -414, -997, -1962?\nAnswer: -3405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 + 30*m**2 + 28*m + 13. Determine a(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-8)\/2)\/(-2). Suppose 3*c - 5*w - 279 = 0, z = -4*c - 0*w + 2*w + 372. Let l = c - -68. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25005863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 - 6)) + -3 + (45 - 30)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 5*a - 7. Determine y(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -105. Suppose 4*l = 2*l + f, 2*r - 5*l = 312. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -6 in ascending order.\nAnswer: -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 4043?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8990*a*t**3 + 2*a*t**2 - 9*a*t - 7*a + 4*t**3 + 1131959 wrt a.\nAnswer: -8990*t**3 + 2*t**2 - 9*t - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**2\/2 - 3*a + 2. Let i be z(-5). Let w(v) = 4*v - 4*v - v**i. Let t(j) = -j. What is w(t(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2938 - 1467. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/20 and 77\/4446884.\nAnswer: 22234420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 35325 = 3*p + 35223, 0 = 4*z - 5*p + 170 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(15\/(-6)*-2)*(-837)\/62\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*i + 47 = 2, 4*w = 4*i + 72. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 1:40 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110.00000046 + 110. What is i rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*i + 10 = 0, -4*i = -4*c + 9 - 1. Suppose -14*g + 11*g - 28320000 = c. What is g rounded to the nearest 100000?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63012 + 693142\/11. Let h = -310\/33 - 58\/11. Calculate the common denominator of h and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5.1. Suppose -101 + 166 = 105*p - 145. Let d be 5\/(-42) + (-4)\/(-14). What is the second smallest value in -4, d, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35289030 - 5?\nAnswer: 35289026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/30*-4 + (-2928)\/(-40). What is the greatest common factor of b and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197683061.\nAnswer: 131, 1509031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -414, -745, -1054, -1329, -1558, -1729, -1830, -1849?\n\"Answer: 2*d**3 - d**2 - 342*d - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(832) + -2 - (0 + sqrt(832) + sqrt(832))*-3 - (sqrt(832)*1 + -2 - ((3 + sqrt(832)*1 + sqrt(832))**2 + sqrt(832))).\nAnswer: 152*sqrt(13) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*g**2 + 223*g**3 - 223*g**3 + 10*g - 2 + 9*g**5 - 212*g**4 - 2*g**2 wrt g.\nAnswer: 540*g**2 - 5088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4915074 by -2457537.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/20*4 - 4. Suppose v*k + 4*z = 28131, 4*z + 0*z + 5607 = k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 1242 + 42. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*m = 16, 40*f - 12 = 37*f + 4*m. Suppose f*h + 7756 = 9*j - 5*j, -j = -3*h - 1949. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39709, 39707, 39705, 39703, 39701, 39699?\nAnswer: 39697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 6388?\nAnswer: 6393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**5\/60 + 7*k**4\/12 + k**3 + 1. Let l(c) be the third derivative of g(c). What are the prime factors of l(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 5*c + 8. Let m be r(-6). Suppose -m*d = 2*f - 44, 3*d - 63 = f + 7. Suppose -3*y + d = -1. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3029324 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*i - 904, 4*i - 5*i = -3. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6570564 and 2837289?\nAnswer: 124840716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-2*(sqrt(352)*-2 + sqrt(352) + sqrt(352) + sqrt(352)))\/sqrt(8))**2)*-6.\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + (sqrt(720) - (2 + sqrt(720))*2))**2)*-3.\nAnswer: -2283 - 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + -4 + 3 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 26. Give d(-17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 - n**2 - 103*n - 566. Let k be o(-6). What is the greatest common factor of k and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12950 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.25 - -1.25764. What is s rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microsecond in nanoseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109295 - 30*j - 109292 + 83*j + 89*j)*(-5*j**4 + 5*j**4 + j**4).\nAnswer: 142*j**5 + 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13351762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/6 + (-3)\/(-6). Suppose -3*i - a = -v, -5*i + i + a = -14. What is the second derivative of -2*h - 6*h + 15*h - 3*h**i wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 2, s: 4, h: 1, p: 2, k: 2}. What is prob of sequence np?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21574717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*w = -24. Solve 0 = -w*l - 12 - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 56553.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5712)\/(-170))\/(-4))\/(4\/5).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 160ac - -17b?\nAnswer: 16238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 17182671.\nAnswer: -17182670.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/4 not equal to -13\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 33 - 51\/2*l**2 - 50*l. Find the first derivative of u(g) wrt g.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**2 + 2*l + 18. What is the lowest common multiple of 10 and m(0)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + a - 9 = 0, 4*k - a = 3*k - 1. Let n be 1\/3 + 5\/((-75)\/(-40)). Suppose -3*b + n = 2*b + 4*o, -3*o - 15 = -2*b. Sort -1, k, b.\nAnswer: k, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 9*u + 12. Let n be z(-10). Suppose -4*k - 21 = -n*m + 47, -35 = -m + k. Suppose i - m = -0*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**4 + 24*o**3 - 187*o + 27752 wrt o.\nAnswer: -8*o**3 + 72*o**2 - 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571846227 to the nearest integer?\nAnswer: 23913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33001435 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64477019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 960357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 - -162. Let z = -4 - -7. Suppose 2*t + 5*b = t + 50, -z*t + 5*b = -250. What is the greatest common factor of t and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**3\/5 - 598*i**2\/5 + 1808*i\/5 - 1208\/5 = 0.\nAnswer: -302, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in 5, 2\/5, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 29*d - 249. What is the smallest common multiple of 84 and w(12)?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/16)\/((-117)\/936)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 58. Let p be (-4)\/(-14) + 606\/(-14). Put -2, p, v, -5 in increasing order.\nAnswer: p, -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-4\/11)*w*w)\/w)\/w)\/(w*(w**(1\/4)*w)\/w)*(w**1)**(-44) assuming w is positive.\nAnswer: w**(-2007\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1116434 (base 7) to base 14\nAnswer: 389c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/(-255)*(-10)\/8 - ((-846)\/135 + 7).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (4 - -94))*-4. Suppose -4*i - 2*p = -v, i - 6*p = -3*p + 112. Which is smaller: 101 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*f*m**2 - 5101*f*m + 502*f + 3719*m**2 wrt m.\nAnswer: -122*f + 7438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + (-2 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 1. Let l be 1\/(1*(-3)\/(-57)). What is the highest common factor of l and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/21953 + 43915\/65859. Let 0 + 2\/3*i**3 - d*i - 1\/3*i**4 + 1\/3*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1)\/(-2))\/(66\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 1 = 2*c - 5*i, 2*c + i - 10 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.6869 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 - 147338*w\/5 - 5427121561\/5.\nAnswer: -(w + 73669)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2259, -4552, -6845, -9138, -11431?\nAnswer: -13724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -807, -1584, -2339, -3078, -3807, -4532, -5259?\nAnswer: -5994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxhxxxhhxhxxhxlx.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2386 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(1155\/(-1260))\/(2\/(-6)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.32 - -11.32879. What is s rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3032312 (base 4) to base 3.\nAnswer: 200011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 42977473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -143. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 12)*(-n + 2*n - 2*n)*(0 + n + 0).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 552 + 1742 = 0. Let v = o + -134. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 4, -1, 26343 in descending order.\nAnswer: 26343, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - -1) - (-2 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35700000 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -242706 - 74?\nAnswer: -243002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -25321*c + 126534. What is t(5)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 + 5*h + 5. Let a(x) = -1 - 2*x**2 + 2*x + 3 + 0*x**2. Suppose -28367*y = -28359*y - 48. Calculate y*v(i) - 14*a(i).\nAnswer: -2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*s - 3 - 7, 4*s = -4*i + 4. Let m(l) = -5*l + 5. Let f(a) = -4*a + 4. Determine s*m(z) - 3*f(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -220 - -46. Let z = -169 - v. Solve -x + 1 - z = 0, -4*w - 5*x = 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -135, -174, -213, -252, -291?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Let h(w) = w + 10. Let p be h(-8). Suppose -2*n + 4 = -g + 3*g, -p = g. Solve -t = -r - f, -n*t = 2*r + r + 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33994 at most as big as -33918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 332 and 177396481?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/7 - 32*b**4\/7 + 12*b**3 - 80*b**2\/7 + 26*b\/7.\nAnswer: 2*b*(b - 13)*(b - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57 * -147272.\nAnswer: 83945.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59635065.\nAnswer: 3, 5, 7, 17, 33409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10031*n - 250798. Give c(25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*c + 189 - 38 + 284 = 72 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 18*t - 46. Calculate the smallest common multiple of q(22) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*6\/21*-1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 93 - (-5 + (7 - 3)). Find the first derivative of -139 + 33 + 408*i**4 - m - 200*i**4 + 14 wrt i.\nAnswer: 832*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85.5 and -5.\nAnswer: -427.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*m**5 + 0*m**3 - 2*m + 9*m + 15*m**5 + 2*m**3 + 2 wrt m?\nAnswer: -700*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 20*v**2 + 7 - 5 + 58*v**2 - 42*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -163*f**3 + 2*f**2 + 6*f + 2. Let j(h) = -328*h**3 + 5*h**2 + 14*h + 4. What is -2*j(n) + 5*l(n)?\nAnswer: -159*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37782.\nAnswer: 2, 3, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(-1*sqrt(3)) + sqrt(475)*-3.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 239741 and 82059?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 plus -3204188?\nAnswer: -3204187.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Let n be (-1448)\/70 + s\/14. Let r = -20 - n. What is the biggest value in r, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*c = -13, 3*y + 1 = 4*y - 2*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 352 + -222. Let h(i) = 2*i**2 - 10*i - 4. Suppose l = 6 + 2. What is the remainder when u is divided by h(l)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*c + 19, -3*c - 5 - 1 = -3*h. Suppose -4*l + i = -i - 2196, 0 = i - 2. List the prime factors of l\/(-15)*c\/(-1).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 11*n**2 - 43*n - 5. Let c be i(-14). What is the greatest common factor of 171 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*i = -1274, -2*i + 403 = -p - 5*i. Let h = p - -609. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 200577\nAnswer: -7\/200577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 24 - 4. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293532124?\nAnswer: 2, 73, 331, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*n*x**4 + 27*n*x**3 + n*x**2 - n*x - 1887*x wrt x?\nAnswer: 120*n*x**2 + 162*n*x + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**20\/f*f*f**(-12) assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000468863183 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1217 (base 12) to base 15.\nAnswer: -90a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.624146 rounded to 3 decimal places?\nAnswer: -25.624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 3*v - 5*v)*(-3295 - 1161*v**2 + 3295)*(-3*v + 8*v + 2*v) to the form n*v**4 + j*v**2 + x*v + a*v**3 + c and give n.\nAnswer: 8127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + 3*c - 3. Suppose -2*p - 6 = -0*p. Let q be b(p). Calculate the highest common divisor of 135 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 + g**2 + g - 14. Let u be t(-5). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 65 = -4*k + 3*h, -2*h = 3*k - 36. Solve 4*y - 5*b + 6 = 0, 4*y + 3*b = 4*b - k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80195692*c**3 - 2*c**2 - 28*c - 3449319 wrt c.\nAnswer: 481174152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7472, -14925, -22380, -29837, -37296?\n\"Answer: -m**2 - 7450*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-three quarters of a hour?\nAnswer: 47700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 15 = -3*z - 2*k, -4*z - 3*k = -10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 2:05 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 6) in base 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**6\/40 + r**5\/30 + r**2\/2 - 3*r. Let o(b) be the first derivative of l(b). What is the third derivative of o(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12398283 < -12398280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-4))\/((-5 - -3)\/(-1)). Suppose -5*u - 2*t = -53, -u - 3*u - 5*t + 56 = q. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*j**4\/3 + 2132*j**3\/3 - 10537*j**2\/6 - 2023*j\/2 - 132 = 0. Calculate j.\nAnswer: -1\/4, 3, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*k - 4. Let i(z) = z**2 + 17*z + 97. Calculate the remainder when i(-6) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7224, 7231, 7250, 7287, 7348, 7439, 7566?\n\"Answer: t**3 + 7223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-14))\/(6\/42))\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 89619.06 meters?\nAnswer: 8961906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8396 - 8013. What is the remainder when a is divided by 90?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -82709, 2 in increasing order.\nAnswer: -82709, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*u = 9, -2*t + t + 4*u + 11 = 0. Is (-1738)\/(-8) - t\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - n - 2)*(-22 + 11 - 8)*(16*n**2 - 3*n**3 - 62 + 62).\nAnswer: 114*n**4 - 722*n**3 + 608*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 3. Suppose 101*s + 1392 = 3816. Calculate the smallest common multiple of l(0) and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370.94 - -0.0118.\nAnswer: -370.9282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6767 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19) + sqrt(76)\/sqrt(4) + sqrt(19))**2 + -2.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let w be (-8)\/(m - (-1 + 2)). Let s(h) = -14*h**3 + 6*h**2 + 8. Let k(i) = 5*i**3 - 2*i**2 - 3. Let j = 2 - -1. What is j*s(z) + w*k(z)?\nAnswer: -2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -36919?\nAnswer: -3691b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1158954, 1159643, 1160332, 1161021, 1161710?\n\"Answer: 689*n + 1158265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - -92. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 - -97. Let k be (10 - 14 - (r + -2)) + 62. Calculate the highest common divisor of 531 and k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 12*q**2 - 13*q. Let o be p(-13). Suppose 3*d + o*s + 4*s = 31, -48 = -5*d - 3*s. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -17*j**7\/70 - j**5\/30 + 3*j**3\/2 + 8*j**2. Find the third derivative of r(q) wrt q.\nAnswer: -1224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Suppose -2 = 5*p - 4*p, 0 = h + p - 17. Suppose -2*s = 5*x - 21, 3*x + r*s = 6*x - h. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7496 = -10*x - 466. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31788 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: How many months are there in 8372.003 millennia?\nAnswer: 100464036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 6*q + 14. Is q at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-10\/3)*v**(3\/4)*v**5)**16 assuming v is positive.\nAnswer: v**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39329*y + 3*y**2 - 13101*y - 13111*y - 13107*y.\nAnswer: 3*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) -24 (c) 2\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllmmlmlllm. What is prob of picking 3 l and 1 m?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 196123.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 57. Suppose 3*y + a + 54 = 2*c, -4*c + 193 = y. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -5*y - 3*v, y = 6*y + 5*v - 145. Let f(t) = 15*t - 358. What is the remainder when f(29) is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37404968 + -4?\nAnswer: -37404970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044126 is divided by 21746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3803*z - 1694 + 167 + 295 = 3726*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 123*w**2 + 61*w + 57. Let n(r) = -63*r**2 - 30*r - 29. Let q(o) = 3*j(o) + 5*n(o). Is q(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.014 - -6.186. Let d = j + -2.2. What is the second smallest value in -0.4, d, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -23201122330212?\nAnswer: 23201122330133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l + 11*l - 2408. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 879*u**4 - u**3 + 2*u**3 - 880*u**4 in the form j*u**2 + q*u**3 + a*u + n + x*u**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -15*p + 453. Solve -36*m + 12 = -p*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3146 by -121.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605045, 1210085, 1815125, 2420165, 3025205, 3630245?\nAnswer: 4235285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*sqrt(119))\/(-3*sqrt(112) - sqrt(7))*-6*4.\nAnswer: 288*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.88151 millennia in years?\nAnswer: 77881.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246 a factor of 189092986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 33 - 12 = 0. Suppose -l*t + 4*t = -25. Factor 16*s**t + 7*s**4 + s**4 + 4*s**3 - 12*s**5.\nAnswer: 4*s**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4 + 4204*p**3 - 4286158*p**2 - 277981092*p - 4372251129 = 0. Calculate p.\nAnswer: -31, 2133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 5*l**2 - 5*l - 4. Let i(r) = r**2 - r - 4. Let s be i(-3). Let w = s - 2. Determine v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 36.2. Let u = 53 + -17. Let z = o - u. Sort -0.2, z, -0.4 in increasing order.\nAnswer: -0.4, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33226706, -66453412, -99680118?\n\"Answer: -33226706*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uggwggwngug. What is prob of picking 1 u, 1 n, and 1 g?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*l - 15 = 0, 0 = -5*s - l - l + 18. Let a(y) = y**3 - 5*y**2 + y + 2. What is a(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)*c\/(c*(c**(-1\/2)*c)\/c*c)*((c*(c\/(c**(2\/5)\/c))\/c*c)\/c)**(1\/11) assuming c is positive.\nAnswer: c**(8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) - (sqrt(320) + 0) - 1*sqrt(405)*-2)**2.\nAnswer: -38*sqrt(5) + 1806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6011865.623 rounded to the nearest 10000?\nAnswer: -6010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + 9\/6. Let x be (-60)\/45 - 14\/3. Let j = x - -11. Solve 9 = -j*w + f*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 154*m**5 + 35196*m**2 - 14*m**5 - m**4 - 35192*m**2 + 3*m**4 - 3*m**4 - 2*m**5 + (-2 + 2 - 2*m)*(-2*m + 2*m**4 + 2*m).\nAnswer: 134*m**5 - m**4 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -0.4, 1.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 972*i**2 + 979*i**2 - 348*i**2 + 93 - 93 to the form m*i**2 + u + g*i and give m.\nAnswer: 1603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r - 6. Let j be w(-1). Let i be (5\/(-1) + j)\/(-1 - 0). Suppose -3*z + 40 - 19 = i. Calculate the remainder when 23 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 69 - 66 = 0. Suppose -10*u - 750 = 20*u. Let j = v + u. Solve j*k = -8 - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5196\/51 - 4\/(-34). Let x = -31 + k. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7698c (base 15) in base 16?\nAnswer: 5bfce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/6 - 114*n. Let o(p) = -2*p + 4 - 4. Give o(s(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 16*g**2 - 16*g - 20. Let y be r(-15). Put y, 1, -2 in increasing order.\nAnswer: y, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-452)\/(-5) - 16\/40. Let m = u - 132. Let a = 1 - m. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10173926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 141217691029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d22d (base 14) in base 6?\nAnswer: 435053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*w**3 - 2 + 435*w**3 + 19*w**2 + 32*w**2 - 1 + 38*w**2 wrt w.\nAnswer: 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {h: 1, b: 4, i: 3, p: 1, d: 1, r: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5360)\/(-3350)*10\/(-88)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*g**2 + g - 8 - 5 + 0*g + 158*g**2 + 1.\nAnswer: 236*g**2 + g - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*y - 615 + 615)*(y + y - y) + 2*y**2 - 4*y**2 + 0*y**2 + (5*y**2 + y**2 - 4*y**2)*(-4 + 0 + 3) as g + k*y**2 + w*y and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -82, -196, -364, -592, -886, -1252?\nAnswer: -1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.1 - -41.533. Let a = n + -0.033. Sort -1\/8, a, 1\/5 in increasing order.\nAnswer: -1\/8, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 - z**3 + 3*z**3 + (-2 + 6 - 3)*(-z**2 + z**2 + 3*z**3) + (4*z + 13*z + 25*z)*(-z**2 + 0*z**2 + 4*z**2).\nAnswer: 130*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 4. Let n be a(6). Let w be (-3)\/n*(-14)\/21. Find the first derivative of 5 + b**4 + w + 0 - 1 wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**6\/30 + 106*c**5\/5 - 71*c**4\/2 - 212*c**3\/3 + 425*c**2\/2 + 526*c - 2. Factor w(j).\nAnswer: (j - 1)**2*(j + 1)*(j + 425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12191 and 438?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1135*q**3*v**3 + 6991*q**3*v**2 + 3*q**3*v - 23*q**2*v**3 + 4*q**2*v**2 - 3*v**3 wrt v.\nAnswer: 6810*q**3 - 138*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 0.069 (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 22. Let s be z(11). Suppose s = -2*n + 98 + 52. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 5 + 229. Let q = 25 + w. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 28436.08, 2\/3, 0, 7, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 30*y - 79. Give z(-26).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -4. Let y(t) = -t**3 + 7*t**2 + 8*t - 2. Let l be y(8). Put l, f, 1 in increasing order.\nAnswer: f, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {z: 4, h: 1, b: 4, l: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/12 + (-65)\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-12)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 73*s - 94. What are the prime factors of i(7)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 4*u + u)*(0 + 2 + 1) - 9*u + 3*u - 2*u to l*u + c and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -475 (b) 4 (c) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3493 in -1\/2, 1, -12\/13, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*s - 161*s + 802*s - 209*s - 218*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33383756 + -110066149. Let n = j - -76682360.999923. Let h = 32 + n. What is h rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3891, -4140, -4389, -4638?\n\"Answer: -249*n - 3642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -35. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283575263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2970 and -4\/133353.\nAnswer: 1333530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(-5 + ((sqrt(304) - (sqrt(304) - sqrt(304)*-1)*-3)**2 - 5*(0 + sqrt(304))) + 1)*6 + -3.\nAnswer: -446768 + 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:46 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 61. Let u(v) = 120532*v + 5. What is u(d(w))?\nAnswer: 241064*w - 7352447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104987.\nAnswer: 3, 13, 29, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(272\/289)*-2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 326720745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let z(i) = 3*i + 1. Let h(q) = 7*j(q) + 2*z(q). Suppose 4*b + 5*m = m - 36, 14 = -b - 2*m. Let f be (2\/b)\/(1\/6). Calculate h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Let s be 15*(-58)\/(-1305)*(6\/(-26))\/1. What is the closest to 1\/2 in -2\/5, s, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:21 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 85, 278, 653, 1270, 2189?\nAnswer: 3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**(-46)*(h*h\/((h\/(h\/(h*h**2)))\/h)*h*h)**(-8\/9) assuming h is positive.\nAnswer: h**(748\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001185663 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -3*h**4\/4 + h. Let l = 54949 + -36891. Let r(k) = l + 6*k**2 - 18058. Give r(y(t)).\nAnswer: 486*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35891997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/4)\/((-55)\/4110590) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/155*2\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -14*n - 58399600. Suppose 6*y - 2*y - n = 0. Suppose 4*i + 0*i = 4*x - y, 25 = -5*x. What is i rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 78 = 14*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.7662986+257\nAnswer: 250.2337014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2944*d**4\/3 - 9088*d**3\/3 - 22456*d**2 - 89180*d\/3 - 26068\/3 = 0.\nAnswer: -7\/4, -19\/46, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 79*y + 11587. Determine p(-153).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 5*r**2 + 2*r - 2. Let v(u) = -u**3 - 5*u**2 - u + 2. Let s(g) = -2*h(g) - 3*v(g). Let n be -1*(0 + 1 - -4). Give s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/6 + 12385*a\/6 + 18591 = 0?\nAnswer: -9, 12394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {x: 2, y: 2, k: 2, r: 2, h: 1, m: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101 - 1011001011101100?\nAnswer: -1011001111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12642 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 619, 1, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -18. Let w be t + -2 + 10\/(-5). Let u = 9 + w. Solve -4*j - j = -o - 4, -u*j = 2*o + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1545*(-4 + (-34)\/(-8))*4. Let o = 57161\/37 + a. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2254)\/((-2058)\/(-42)) + 90.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -3 + 1\/6*f**3 + 3\/2*f**2 - f. Let o(c) be the first derivative of r(c). What is the first derivative of o(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 - 15820?\nAnswer: -15880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 1904?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 871147 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - -c22d37?\nAnswer: c22d1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/18 and 67\/8268.\nAnswer: 24804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3255.3 - 3255.32. Sort -2, w, 402, 4 in descending order.\nAnswer: 402, 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000085 to 6 decimal places.\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*t - 378 - 294. Suppose 8 + t = 9*s. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -95*k + 2801. Let l be h(47). Is -1664 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2306*0.077.\nAnswer: -177.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.78 to one dp.\nAnswer: -30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330754 a multiple of 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -17. Suppose 3*b - 5*j - 4 = 3, -5*b - i*j = -22. Let c = -0.2 - -0.3. What is the third biggest value in c, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2)\/z)\/z)**(1\/6) assuming z is positive.\nAnswer: 1\/sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + r = -48. Find the common denominator of 32\/120 + 16\/r + -2 and 97\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.01, -0.3, 13, -1 in descending order.\nAnswer: 13, 1\/5, -0.01, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 23*t**2. Let a(w) = -15164*w. Determine a(c(h)).\nAnswer: -348772*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 + v + 22. Let x(p) = -3*p**3 - p**2 - p - 19. Let y(l) = -4*r(l) - 5*x(l). Suppose 20 = 4*k - 2*b, 2*k - 16 = 5*b - 6. Give y(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/152 and (-671)\/(-132)*(-18)\/228?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b - 32 = 0. Calculate the lowest common multiple of b and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + -2 + 3)\/(-1). Let k be 8\/(-20) + 2\/n. Solve 0 = 3*w - 2*j - 7, 6*w - w - 5*j - 5 = k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 2*m**2 - 4*m**2)*(669 - 515 + 503 + 840).\nAnswer: -1497*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y + 41. Determine p(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -282, -275, -266, -255, -242?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103967650?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)\/1 - 2. Let c = o + 1. Suppose f - 2 = -c*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - q - 21, -4*h = -q + 25 - 6. Let w be (((-78)\/(-24))\/(-13))\/((-10)\/(-8) - 1). Suppose 0 = -3*i - x - 2*x, 5 = -i - 2*x. Sort h, i, w.\nAnswer: h, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**3 - 32*a**2 - 172*a - 952. Give w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3 - 40010*f**2 + 1039246*f - 6752902 = 0?\nAnswer: 13, 19979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 bigger than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8484233 and 180881?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(80) + 0)*-5)**2 + -2.\nAnswer: -1000*sqrt(5) + 2623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 413742880\nAnswer: 827485760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(1 - 3)*-22. Suppose 2*b - 2 = -m, m + 2*m = 2*b + a. Let w = 11 + m. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 669042 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-526)\/(-14) - -1)\/(5 + 442\/(-91)) is divided by (-130)\/(-5) - 9\/(3 + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5 = -15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*i**2 + 1 - 4)*(-23 + 15 + 17).\nAnswer: 54*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6 - (-10 - -9)) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-32) + 75\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209 >= 1208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2. Let m(q) = 1695*q**2 + 2 - 1713*q**2 - 2. Calculate u(m(f)).\nAnswer: -972*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1375, -1268, -1161, -1054, -947?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 154700*s\/3 + 3659553.\nAnswer: (s + 71)*(s + 154629)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -34*z - 1. Calculate l(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-15)\/(-10)*16\/(-30). Let n = -41 - -46. Let q = 2.98 + 0.02. What is the third biggest value in 2, q, a, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 752351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -19*m + 1. List the prime factors of x(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -0.2, -2\/7, 2\/39?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/108*8*(-42)\/224\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**3 - 4*j**3 - 8*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 111196830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568264 to the power of 1\/2, to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 51. Let t be n(-21). Find the third derivative of 122*q**5 - t*q**2 - 140*q**5 - 2*q**3 + 2*q**3 wrt q.\nAnswer: -1080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 876\/2190*51*(-5)\/30?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -48, -9, 50, 135?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(784) + sqrt(49))*-3 - -4*(sqrt(49) + 1*sqrt(1764)))\/((sqrt(567) + sqrt(567)*1)*4 - sqrt(567) - (sqrt(77) - 3*1*sqrt(77))\/sqrt(11)).\nAnswer: -2*sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 640 divided by -160\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/8)\/(2\/208). Suppose k = r + 70. Solve 0 = -6*x + 8*x - r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 12:00 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13270 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from {d: 6, c: 2, h: 1, b: 2, p: 5}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5\/7 - 12*p**4\/7 + 50*p**3\/7 - 36*p**2\/7 = 0?\nAnswer: -9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 366. Calculate the remainder when 1063 is divided by n(112).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 505461?\nAnswer: -8\/168487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 21 - 1 = 0, -2*f + 3 = v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z**3 - 472*z**4 - 107*z - 744*z**4 - 11 + 3*z**3 - 931*z**4 wrt z.\nAnswer: -25764*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/670, 4 in decreasing order.\nAnswer: 4, 1\/670, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 49. Let k be q(19). Let p(f) = 11*f**2 + 1. Let m be p(-2). Calculate the greatest common divisor of m and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from effeffxffpfeffefft. What is prob of picking 1 f and 1 t?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -15 - (-10 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/17, -4, 549?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -40. Which is the third biggest value? (a) -4\/7 (b) o (c) -0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.1 - -39.9. Let m = -51.047 + q. Let b = 0.05 + m. What is b rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 + 117*g**4 - 552*g**3 - 3708*g**2 - 4224*g = 0.\nAnswer: -2, 0, 11, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.45 from -10.\nAnswer: -9.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 30462?\nAnswer: 30465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Let y = -0.65 + -0.35. What is the second smallest value in t, 4\/3, y?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*n**4*x + 120*n**3*x**2 - 4*n**2*x**2 - 3*n**2*x + n + 75*x**2 wrt n.\nAnswer: 3456*n*x + 720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/(-6))\/((-2)\/(-3)). Let v = f + -1. Suppose -5*w = -v*w + 18. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486447.\nAnswer: 3, 13, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 6*f + 6. Let l(o) = -5*o**2 - 10*o - 9. Let j(c) = -8*d(c) - 5*l(c). What is j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103961\/35595 - 1\/35595. Let f = 6447 + -135335\/21. Let z = l - f. Calculate the common denominator of z and 52\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 19*b - 12*b + 26*b - 6302*b**2 in the form k*b + j*b**2 + n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.6 - -24. Let v = c + 0.6. Let h = -61 - -60.9. Sort 5\/6, v, h in ascending order.\nAnswer: v, h, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1507 and -98793.5.\nAnswer: 148881804.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 2419032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*x = -0*w - 12444, 24928 = -4*w + 2*x. Round w to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -44, -93, -172, -287, -444, -649, -908?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16965)\/26)\/(-29)*(-7)\/42.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 452 and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/54)\/((-2)\/(-8))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y + 2*y**2 - y**2 + 4 + 0. Let u be m(-6). Let w = 5054\/55 - 1002\/11. Which is the closest to 1\/2? (a) u (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17685957 less than -0.3?\nAnswer: 17685956.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957297876?\nAnswer: 2, 3, 67, 353, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4269?\nAnswer: 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2)\/((-13)\/13). Suppose 220 + 86 = y*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**3\/3 - 15*b**2\/2 + 50*b + 22. Let v be i(9). What is the units digit of v*(1 - 2) + 6 + 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29560 and 110.\nAnswer: 325160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 8*w - 4. Let k be b(-7). Suppose -10 = -k*s - 3*q + 11, 5*q + 55 = 4*s. What is the remainder when 29 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/((-2)\/(-9)). Suppose t + m - 1 = 0. Let p(z) = z**2 - z + 1. What is p(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13799 or -13789?\nAnswer: -13789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h**3 + h**2 - 5*h - 8. Let u(g) = -3*g**3 + 2*g + 3. Let i(d) = -2*n(d) - 7*u(d). Let k be i(-5). Is 13 a factor of k\/(-6) - (-8)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/4 of a milligram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*v + 133, 4*v - 27*w - 92 = -25*w. What is the least common multiple of v and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45377704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/7 + (-2527)\/(-931). Which is the closest to -2? (a) x (b) 6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**3 + 98*y**3 + 169*y**3 + 179*y**3.\nAnswer: 455*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11378 = -5*d + 4*x, 779 - 3048 = -d + 3*x. Let c = d + 25983. Suppose -c - 449739 = -2*j. Round j to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v - 2*v)*(0 + 0 + 2*v**3)*(50 + 5 - 3).\nAnswer: -104*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeexexxbebe. What is prob of picking 2 e and 2 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (25*22\/(-385))\/((-5)\/14). Solve -5*s - 12 = -w*a - 0*s, -s = -a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 254 + -259. Which is the closest to 2\/9? (a) l (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 0?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.067 + -4.933. Which is the nearest to -2\/11? (a) 0.1 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 38*t**2. Let d(u) = 5*u - 2. Let x(s) = -s + 2. Suppose -169 = -4*l - 173. Let h(m) = l*d(m) - x(m). Calculate h(a(k)).\nAnswer: -152*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - -124166250?\nAnswer: 124166222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -29, -43, -57, -71?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 15) to base 5.\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 25*o**2 + 36*o - 137. What is d(-24)?\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcyt when four letters picked without replacement from {j: 2, z: 1, c: 2, t: 3, a: 3, y: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g**3 - 50*g**2 + 665*g - 2627. Determine a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*1 + 0.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1452968 divided by -3002\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653.44 times -0.2?\nAnswer: -330.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77.04 + -83.59. Let k = -0.95 + -0.3. Let f = k - z. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4346 divided by 106?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.39 - 0.11. What is the third smallest value in -5, 0.3, s, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/7)\/(z\/(z*z\/z**(2\/13)))*z**(2\/13)\/z**(-6) assuming z is positive.\nAnswer: z**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h = -85*h - 135*h + 17420 for h.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/60 - n**4\/4 + 2*n**3 + 12*n**2. Let c(z) = -3*z**2 + 11*z - 25. Let s(j) = -4*c(j) - 9*r(j). Is 17 a factor of s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -6. Let k(a) = 6*a**2 + a**2 - a**3 + r*a + 16 - 3*a. Let g be k(8). Solve 0*y - 5*y = g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -101*u**2 - 1. Let o(l) = -2576*l. Determine w(o(b)).\nAnswer: -670213376*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1525 and 2750.\nAnswer: 167750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1689683 divided by -343?\nAnswer: 1689683\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.282843g in micrograms?\nAnswer: 3282843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from jjvhvvvvj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**7\/42 - i**6\/10 + i**5\/20 + i**4\/4 - i**3\/3 - 5*i. Factor u(o).\nAnswer: o*(o - 2)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 + 20*p**2\/3 + 18*p + 12.\nAnswer: 2*(p + 1)*(p + 3)*(p + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 6*l + 10. Suppose -5*m - 25 = 0, 0 = -s - 5*m - 5 - 19. Let x be s\/2*(20 - 2). Is i(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let j(m) be the first derivative of 4*m**2 + m - 2. Give j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3151, -3051, -2885, -2653, -2355, -1991?\nAnswer: -1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 5*z**2 + 9*z + 3. Is u(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4328 + 4336. Solve 513*l - 511*l = x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 12*f + 23. Let w = 8 + -30. Let o be k(w). What is the highest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 = 4. Suppose i*a = 4*v - 5, a = v - 4 + 2. What is the remainder when 3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6415 = -5*j + 3*m - 2*m, -m = 5. Is j > 1281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b1 (base 12) in base 8?\nAnswer: -5705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (2 + -7)) + -7 + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 2\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 63*s + 256. Let n be k(59). Sort 6, n, -5 in descending order.\nAnswer: n, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 - -5.13. Let l = 97 - 97.3. Let h = l + -0.5. What is the third biggest value in x, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - (5 + 21) - (-97 + 98)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**5\/30 + m**4\/12 + 26*m**3 - 249. Let q(c) be the third derivative of g(c). Determine q(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/((-7)\/(-56)). Let w be (-1)\/y - (-29236953)\/12. Let i = 3926413 - w. What is i rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 16 = 7*w, 27918*r - 19 = 27919*r - 2*w for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**4 + 235*r**5 - 477*r**5 - 2*r**4 + 5*r**4 + 6*r**3 + 245*r**5.\nAnswer: 3*r**3*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 214*r + 2140. What is u(-9)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729 is divided by 942.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25310 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 9. Let q be l(8). Let p be (5\/(-10))\/(q\/2). Let z = 9 + p. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 121024, 242063, 363102, 484141?\n\"Answer: 121039*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 1452 = -1532 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14059640 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 - (2 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 1229*o**2 + 3 + 341*o - 1234*o**2 + 2461*o**2.\nAnswer: -2*o**2 + 341*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o. Let b(x) = -x**2 + 3*x + 6. Let n be b(4). Let i(s) be the first derivative of 1\/2*s**n - 1 + 0*s. Calculate i(r(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - r**2 + 6742*r - 13499. Determine p(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - 685\/(-10)*48.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:29 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1288 + 814 = -111*i + 2301 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773056 divided by -17?\nAnswer: -1773056\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - 20110112?\nAnswer: -20101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)\/(y**(2\/9)*y))**(8\/9) assuming y is positive.\nAnswer: y**(-472\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15834*p**2 - 13*p + 13*p - 5232*p**2.\nAnswer: 10602*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 1091, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5751\nAnswer: -4\/5751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7170000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 297782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 12 = -4*c, 0 = -2*m - 5*c + 927. Suppose 4*p - m = 172. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7) - -2*sqrt(448) - (sqrt(7) + 3 + (sqrt(7) - sqrt(7)*-2) - sqrt(7))) + 1*(2*sqrt(1008) + -1)*1)**2.\nAnswer: -4104*sqrt(7) + 82009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ppuuuuuuwuplupluu.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let i = -2 + 4. Suppose -i*x + 16 = 3*x + b, -5 = -5*b. Let r(c) = -2*c - x*c + 2*c. Calculate f(r(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224185700 divided by -1.\nAnswer: -224185700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2445*n - 25 + 18 - 2416*n)*(4*n**2 - 2*n**2 + 0*n**2).\nAnswer: 58*n**3 - 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5490\/7 - -784. Let o = 1\/9 - 29\/18. What is the nearest to -11 in m, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6213\/2987 - -438\/103. Let k = -2036 - -2038. Is k < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4151 + -128658\/31. Calculate the common denominator of z and 115\/6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzet when four letters picked without replacement from zzzezezzetzezett?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473334568, -473334567, -473334566?\nAnswer: -473334565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 15*s - 21. Let t(w) = -8*w + 11. Let d(g) = -4*g**2 + 165*g - 206. Let n be d(40). Give n*a(x) - 11*t(x).\nAnswer: -2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.79 - 0.49. Let c = 1721\/11 - 157. What is the closest to 1\/18 in h, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1530.017 + -1523.219872. Let w = q - 12.897201. Let f = w + 6.1. What is f rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from jtjjjtjjtrjjtj?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*q - q. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 62. Let c(j) = -j. Calculate o(c(h)).\nAnswer: -h + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5375987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 37360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186*x + 81*x + 57*x - 71*x + 94*x - 3 to the form o + s*x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (-5 + (1*sqrt(132))\/sqrt(11) - (sqrt(36)\/sqrt(3)*1 + sqrt(12) + sqrt(12) + 1))**2.\nAnswer: 48*sqrt(3) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*s - 626, -662 = 2*n + 4*s - 0*s. Let b = n - -322. Let l(z) = 3 + 10*z - 6 + 4. Determine l(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3))**2 + (sqrt(180) - (1 + sqrt(180)))**2 + sqrt(125) + -1 + -5.\nAnswer: 5*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/3200130 and 22\/465.\nAnswer: 3200130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 17. Calculate a(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 9709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 11:28 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68.2 (b) -286 (c) -14 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570425559?\nAnswer: 3, 11, 37, 139, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 8*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -46596*s. Let p(w) = -2*w**2. Give c(p(m)).\nAnswer: 93192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzm when three letters picked without replacement from {z: 16, m: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2126745 and 4726100?\nAnswer: 42534900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -22. Suppose 0 = 3*a - 26 - o. 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: Let q(v) be the second derivative of v**4\/20 + 69*v**3\/5 - 1269*v**2\/10 - v - 1258. Factor q(r).\nAnswer: 3*(r - 3)*(r + 141)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 - 5*u - 1. Let y be (-2 - 0)\/(4\/2). Let a be p(y). Suppose 2*h - 22 = a. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 + -88. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 16*m = -390. Let a be m\/3*(5 - 2 - 0). Calculate the greatest common divisor of 20 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 1 - (8 + -9 + 18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqql when four letters picked without replacement from {q: 17, l: 2}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 10 + -26 + 5 + (-3 - -10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*f**4*i**2 - 62301*f**4*i + 159*f**2*i**2 - 105*f*i**2 + 79*i**2 wrt f.\nAnswer: -1344*f*i**2 - 1495224*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*w + 2*w**3 - 7*w**3 + 6*w + 29*w**3 wrt w.\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(156) - -4*(sqrt(156) - sqrt(156)*-1) - sqrt(156)))\/(sqrt(96)\/(sqrt(8) - sqrt(32)) - -6*sqrt(300)).\nAnswer: -8*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 0 - (-120 - -113)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.31133 days to hours.\nAnswer: 2359.47192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let g(c) be the second derivative of 97*c**4\/12 - 7*c**2\/2 - 5*c + 7. Determine m(g(j)).\nAnswer: -97*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b0c7 (base 14) to base 3\nAnswer: 1112122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 + 0*s**2 + 2*s**2 + (4*s + 3*s - 5*s)*(1 + 2 - 1)*(1 + 0 - 3)*(2*s - 1 + 1).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2784 divided by 2.\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 13\/2. Let f(t) = t**3 + 89*t**2 + 7*t + 621. Let v be f(-89). Which is the closest to -1\/8? (a) y (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Suppose 0 = 4*q - 21 - 39. Suppose r - 7 = -v, -r + v = 4*v - q. Let g(x) = 8*x**2 - 3 + r. Determine i(g(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 182, 364, 548, 734?\n\"Answer: v**2 + 179*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 4 (c) -3 (d) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - 168?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.4206 to 1 dp.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 15*y + 7. Let r be z(-17). Suppose -2*p + 3*q + 366 = 0, 5*p = 2*q + 2*q + r. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/3, -0.1, 19665, 0 in descending order.\nAnswer: 19665, 0, -0.1, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r**3\/3 + 868*r**2\/3 - 2744*r\/3 + 320 = 0 for r.\nAnswer: 2\/5, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 - 6*y - 5. Is s(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1229*n - 3. Let c(w) = 2509*w - 6. Determine -3*c(b) + 7*p(b).\nAnswer: 1076*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3266 - 1013?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366221 is divided by 183079?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9733 and -0.5.\nAnswer: 4866.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 85274 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 3. Let a be s(-2). Let m be (-46)\/299 + 63\/(-13). Sort -3, m, a in descending order.\nAnswer: a, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-286)\/44)\/(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-1))\/(-6 + 10 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -32, -3 in ascending order.\nAnswer: -32, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 - -110. Let p(j) = 56*j**2 + 34*j - 34. Let l(b) = 5*b**2 + 3*b - 3. Determine a*p(z) + 68*l(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18984?\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/((-448)\/120)*(2 - (-16)\/(-5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, 51, 63, 75, 87, 99?\n\"Answer: 12*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82758765*n**2 + 9*n + 22628814 wrt n.\nAnswer: 165517530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**4\/6 + 1876*l**3 + 5320094*l**2 + 691399192*l\/3 = 0.\nAnswer: -5606, -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 296730 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: Let s(n) = -n**3 + 4*n**2 + n. Let y be (-2)\/(-2 - 6\/(-4)). Let x be s(y). Solve 5*t = 2*j - 9, 3*t - j + x + 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + 5*f + 2. What is n(-3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6061861.\nAnswer: 13, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1084 + 323. Let n = 1945 - 2769. Let v = t + n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 0*q - 1\/270*q**5 + 0 - 54*q**2 + 0*q**3 + 1\/108*q**4. Find i, given that y(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 22, 1, -891 in descending order.\nAnswer: 22, 1, -48, -891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 4, a: 1, d: 3, u: 4, w: 2}. What is prob of sequence aa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 5)*(-m + 1 - 1) - 5*m + 4*m + 9*m)*(27*m**2 + 0*m**2 - 7*m**2) + 2*m**3 - 3*m**2 + 3*m**2.\nAnswer: 122*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1420.1 + -1421.1. What is the nearest to 2\/97 in -2\/7, 2\/11, b, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 78, 116, 168, 234, 314, 408?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 i when three letters picked without replacement from {i: 3, o: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73, -80, -107, -166, -269, -428, -655, -962?\n\"Answer: -2*n**3 + 2*n**2 + n - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 312, 622, 932, 1242?\n\"Answer: 310*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79703 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 496444*s**2 - 16*s - 1. Let v(i) = 7*i. Determine h(v(g)).\nAnswer: 24325756*g**2 - 112*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 246, 52, -46 in decreasing order.\nAnswer: 246, 52, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m + 12*m**2 - 2*m + 2 - 4 - m**3. Is w(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 37. Calculate the least common multiple of w(-13) and (-2 - 30\/(-9))*15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 7*n**3\/3 - n**2 + 2*n + 50. Let t(w) = 7*w**2 - w + 1. Give 2*b(f) - 3*t(f).\nAnswer: -7*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 77*w = 74*w - 4000000, -2*f - 4*w - 1600000 = 0. What is f rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-35)*2\/(-1*4\/(-5))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 643, 974, 1321, 1690, 2087, 2518?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**22*(u*u*u**(-8)*u)\/u)\/(u*u*u*u\/(u**(-8)*u))**32)**6 assuming u is positive.\nAnswer: u**(-2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25.7 (b) -4 (c) 0.07 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7621 + 6745. Which is smaller: j or -874?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - g. Let z be d(-10). Calculate the greatest common factor of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 37*m**4\/6 - 377*m**3\/6 + 368*m**2 + 2*m. What is the derivative of f(p) wrt p?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-10)*(-25 - (-15785)\/539)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -54\/19, 1\/12, -13 in decreasing order.\nAnswer: 1\/12, -0.5, -54\/19, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1128\/(-140) + 8)*5*-7. Find p, given that -4\/3*p + 8\/3 - 4\/3*p**w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -80, -1, -3 in descending order.\nAnswer: 3, -1, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -104*l. Let w(j) = -j. Calculate v(a) - 52*w(a).\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-19110)\/(-56))\/39)\/7.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 0*t - 3*t)*(1479 + 751 - 935 + 995) to b*t + q and give b.\nAnswer: -4580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.393 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -95*x - 3. What is the tens digit of l(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**3\/2 + 366*j**2 + 845157*j\/2 + 422211 = 0.\nAnswer: -422, -1, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 24) + -4 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3445 by 5.\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 1, -2\/13, -18, -2\/3, 2\/7 in decreasing order.\nAnswer: 1, 2\/7, -2\/13, -3\/8, -2\/3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 269 (base 12) to base 5\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8749 and 872881.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 218 - 106 - 112 + 97*g as b + u*g and give u.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 2*s**2 - 4*s - 2. Let i be (1 + 0 - 3)*-2. Is r(i) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.813 and -0.008576.\nAnswer: -0.006972288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -35 (c) -1761\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1151 - -1152. Calculate the greatest common factor of 67 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1164*i + 116445 + 17055 = -1506*i for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 1, 1\/6, 0.4, 13062?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*s**2 - 203*s**2 - 207*s**2 - 205*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -771574*p**3*u + 28*p**2*u + 6*p*u - 3*p + 7*u wrt p.\nAnswer: -4629444*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 6*f - 6. Let k be g(-4). Let n(p) = -p - p**2 + k*p**3 - 8*p**3 - 7*p**3. Is 5 a factor of n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34405.4126 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64740, 64740, 64734, 64722?\nAnswer: 64704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -24*o - 16. Let l(h) = -h. Let a(i) = -3*l(i) + m(i). Let x be a(-11). Suppose 0*z + x = 5*j + z, -4*z = 2*j - 68. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 19*f**2 - 5*f. Let q(g) = -3*g**2 - g + 1. Let r(v) = -d(v) - 6*q(v). Let b = -1 + 6. What is r(b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 12*l + 19. What is g(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by 93\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {n: 2, z: 1, d: 4, o: 5, l: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-7))\/(6\/70)*9\/324*9?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/17 - 28780*u\/17 + 201362\/17 = 0.\nAnswer: 7, 14383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*x + 58*x + 4*x**2 + 2 - 33*x in the form s + w*x**2 + k*x and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/10)*b\/b**(2\/9))**(3\/11))**(2\/15))**21 assuming b is positive.\nAnswer: b**(427\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11905.\nAnswer: 5, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.956 - 0.044. Let o = -37 + w. Let a = o - -53.5. Sort -1\/8, -3\/28, a, -0.1 in increasing order.\nAnswer: -1\/8, -3\/28, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8119687km in nanometers?\nAnswer: 811968700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 11. Calculate w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + r**2 + 2*r**2 + 5*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 266518.\nAnswer: 7995540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421762121?\nAnswer: 11, 41, 709, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 91.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11313247 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 451814719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 48\/(-32)*64\/(-6)*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1151a4 (base 11) to base 10\nAnswer: -182582","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9246)\/(-469) - 15\/21?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = 48. Let m(i) = -i**2 - 23*i + 51. List the prime factors of m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 3, -0.1, -3, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 7865005834.\nAnswer: -7865005835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 3 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283380 is divided by 3587.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 5:53 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Suppose -u + d = -5. What is the least common multiple of u and (-92)\/(-138) - (4 + -3 + 21\/(-9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*r + 13*r - 113 - 74*r wrt r.\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a minute in seconds?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195414105 is divided by 39082812.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-280)\/168*234\/(-15). Calculate the highest common divisor of 4966 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16)*(-660)\/385?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 8. Suppose 0*d - 12 = 2*d. Let c be y(d). Suppose -c*q = -0*q - 16. Solve 2*n - 6*n - q = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - m - 2957 = 0, -z + 4*m + 1676 = 187. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1125*m**3 + 5*m**2 - 10*m**2 - 4*m**2 + 8*m**2 to the form b*m**2 + o + t*m + q*m**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-3.9.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 1\/3, -4\/5, 15, -10\/9, 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 - (1 + -3) - (-54 - -61).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 6*n**2 - 2*n - 7. Let d be a(-6). Solve 5*i + d*w - 20 = 0, -w = -2*i + i + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121510 and 1837730?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 21. Let b be ((8 + 42\/(-4))\/(-10))\/(-1). What is the nearest to b in -0.5, 19, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68665*-6.\nAnswer: 411990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 w, and 1 t when three letters picked without replacement from {w: 1, a: 5, e: 1, v: 1, t: 3, d: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415602?\nAnswer: 2, 3, 11, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 3*m - 367 + 333, 0 = -8*p + 5*m - 108 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 38889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5064, 5562, 6400, 7578, 9096?\n\"Answer: 170*m**2 - 12*m + 4906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-10)*40\/(-70). Is h not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 10*j**2 + 8*j + 12. Let h be a(9). Let c be (434\/3)\/(2\/h). Does 9 divide (c\/(-2))\/7*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(1\/3)*s)\/(s*s\/s**(2\/7)*s*s*s))\/(s*s**0\/s)**(3\/7))\/((s**0\/s*s**(5\/6)\/s)\/((s*s**(-1\/5)*s)\/s*s\/(s\/(s*s*s**(3\/8))))) assuming s is positive.\nAnswer: s**(1087\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 22. Are u and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = t - 19, -2*r = 2*t - r - 5. Suppose -3*u = t*o - 26, 2*o - 8 = 17*u - 16*u. Solve 20 = 9*i - o*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60337 is divided by 15016?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 798*a - 4711. What is j(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**2\/2 - 5*m - 13. Let h be i(-3). Sort 5, h, -1, 3.\nAnswer: h, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k - 1 + 1. Let p(j) = -3*j**2 + 4*j. Let l(m) = -m**2 + 2*m. Let x(o) = -2*l(o) + p(o). Give h(x(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4709*n + 0 + 12153*n - 2484*n + 0)*(2 - 2*n - 2).\nAnswer: -28756*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45833, -91668, -137503, -183338, -229173?\nAnswer: -275008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 21*g**2 - 3*g + 13. Let o be 3 - (1 - 0)*(-6 - -6). What are the prime factors of c(o)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2156*f**2 - 2097*f**2 - 752*f**2 + 73*f**2.\nAnswer: -4932*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -42*d**2 - 767*d - 50. What is a(-18)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/30 + 28*z**5\/15 - 69*z**4\/2 + 120*z**3 + 3020*z**2. Factor j(l).\nAnswer: -4*(l - 15)*(l - 12)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 13*n - 3. Let v be l(5). Suppose -3*o = 8*h - 3*h - 33, 3*o = -v. Solve 0 = 5*r - z - h - 4, 2*r + 5*z = 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 211881612 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgffggfh. Give prob of sequence hg.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 12 = -6*r, 5*r + 24670 = 5*m. List the prime factors of m.\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -657554239*q**2 - 685702084 wrt q?\nAnswer: -1315108478*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(10\/11)*(a*a*a\/(a*(a\/(a\/a**(-7)))\/a))\/a*a*a*a**14)**(-1\/42) assuming a is positive.\nAnswer: a**(-265\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 66 + 1393*k**2 - 70.\nAnswer: 1393*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 2*f**2 + 0*f**2 - 4*f**2.\nAnswer: -2*f**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -30*a**2 + 52*a**2 - 4*a**2 + 71*a**2. Let i(m) = -m**2. What is k(i(p))?\nAnswer: 89*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:18 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108980401 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -5 - (-8 + 4*-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1136828567 rounded to 5 decimal places?\nAnswer: -0.11368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0582 take away 60?\nAnswer: -60.0582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2538)\/47 + 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 33, 46, 61, 78, 97?\n\"Answer: z**2 + 8*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, u: 6}. What is prob of picking 1 o and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2602906551 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 68 = 278. What is the tens digit of (0 + -3 - -2) + w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -111, -112, -115?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6, 1\/3, -1409, -5 in decreasing order.\nAnswer: 1\/3, -3.6, -5, -1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*j = -j, -4*t + 31 = 3*j. Suppose 0 = 5*a + 17 - 2, -t*w + a = -167. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 + z - 6. Let l be y(6). Suppose -26 = -l*n - 2*n + 4*r, 2*n - 2*r = 16. Find the first derivative of h + 4*h - n*h + 2 - 6 wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - -12.98. Suppose 0 = -14*i - 6*i - 33*i. Which is the closest to o? (a) i (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - x + 6 = a, a = 4*a + a - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13850 and 35?\nAnswer: 96950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and -237.2?\nAnswer: 213.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 872041120 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 4*y**2 + 5*y**2)*(273 - 273 - 17*y)*(1 + y - 1).\nAnswer: 34*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4, 2*k - m + 11 = -2*k. Let a(j) be the third derivative of 1\/12*j**4 - 1\/3*j**3 + 0 + 1\/60*j**5 + 0*j - 16*j**2. Give a(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/7 - (-45)\/42. Let t be (-6)\/(-8) - 23\/20. Let k(u) = -u**3 + 4*u**2 + 5*u. Let o be k(5). Sort t, j, o in descending order.\nAnswer: j, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19994 times -422?\nAnswer: 8437468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -6. Suppose -3*a - 137 = -4*j - 6*a, a + 71 = 2*j. Calculate the remainder when j is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -12*z**3 + 13*z**2 + 178*z + 228. Let j(r) = -7*r**3 + 7*r**2 + 90*r + 108. Let f(g) = -3*a(g) + 5*j(g). Solve f(y) = 0 for y.\nAnswer: -6, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -1128701.95?\nAnswer: -1128701.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 3*k - k - 671 + 730, -k = 3*h + 2 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803855 is divided by 8885?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98965 - 756?\nAnswer: -99721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12497662*v. Let c(o) = 6*o**2. What is q(c(k))?\nAnswer: 74985972*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (17\/3 + (128 - 135))*-93 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*n + 45, 3*w = 5*n + 7*w - 90. Let q = -29 + 59. Let d = q - n. What is the highest common divisor of 64 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704*r - 194204 + 28060 = 0. Solve 0 = 203*z - r*z - 264 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-33))\/(36\/1674) and (-1)\/4 + 63\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (232\/(-1885))\/(8\/(-52)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**3 + 6*u**2 + 9*u - 40. Calculate r(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:54 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/3 + -3 + 1. Let q(l) = -6*l**3 - l**2. Let x be q(d). Solve 0 = i - 0*i - z - 1, -2*z = -x*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79, -84, -87, -88, -87?\n\"Answer: c**2 - 8*c - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1402*d + 15451. Calculate x(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.012338 rounded to 2 dps?\nAnswer: 13.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 5 - (-252)\/7. Let k = h - 35. Solve 3*i + 7 = -k*z, z + 5 = -0*z - 4*i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 i when four letters picked without replacement from iikiiiiiiikkki?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 14*t - 9*t. Suppose 5*r + t*w + 8 = 0, 3*r + 2 + 2 = -2*w. Let g = 5 - r. Solve -o + 8 = -g*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 3781*v**6\/2 - 8243*v**2\/2 - 2*v - 9475. What is the second derivative of f(o) wrt o?\nAnswer: 226860*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a + 75. Let d = 26 + a. Let t be (-2)\/(3 - 35\/d). Solve w = -6 + t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003312923 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 - 18172*x**3 + 26977812*x**2 - 12237563860*x - 1263735602408 = 0. What is x?\nAnswer: -86, 1543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 1:25 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let q be 2\/(-8) - 300\/(-48). Let h(c) = -q*c + 4 + 8 - 12. Give h(k(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 20. Suppose 0*j = g*j - 80. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2446171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -295.0373 - -0.0373. Let y = h + 295.1. Which is the fourth biggest value? (a) -0.1 (b) -20 (c) -3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3086993182 to the nearest integer?\nAnswer: 55561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3875*v**3 + 3*v - 11. Is t(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 400\/2960*21\/(-175)*5.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-390) + (-1052)\/(-7890).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17392963, 17392965, 17392967, 17392969?\n\"Answer: 2*b + 17392961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15605 + -15607. Which is the fourth biggest value? (a) -5 (b) -0.3 (c) 5 (d) l (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12*w - 56 = 0. Let g(d) be the second derivative of 0 + 2*d**2 + 5\/6*d**3 + 2*d - 1\/6*d**4. Calculate g(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d**2 + d + 5. Let n(i) = i**2 - 1. Let q(j) = -h(j) - 4*n(j). Let y be q(3). Let x be 14\/77 - y\/(-1166). Is x at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9374 is divided by 4686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**3 - 7*d**2 + 12*d - 5. Let c be 1*-2 + 10\/1. Let w be n(c). Let k = -15585 - w. What is k rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654, 1988, 3322, 4656, 5990, 7324?\nAnswer: 8658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 3*g**2 + 5*g. Let h(i) = -i**2 - i. Suppose 4*w + 3*o - 36 = 2*w, 3*o - 60 = -3*w. Let y be w\/(-16) - 1\/(-2). Determine y*a(x) - 5*h(x).\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + -440?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3888*j**2*p + 7*j**2 + 60490*p + 51151062 wrt p?\nAnswer: 3888*j**2 + 60490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 2. Let z = -6 - l. Suppose -14 = z*r - 3*x, 5*x - 13 = 7. Is -0.3 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y - 7. Let c be z(-5). Let u = -20 + c. Let h(f) = -f - 3. What is the remainder when h(u) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10323 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*l + 6 + 45 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12585228.\nAnswer: 2, 3, 223, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 9\/(-63) + ((-45708)\/(-28))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izji when four letters picked without replacement from {i: 7, z: 6, j: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678 - 3*s - 14*s - 7*s - 4176 + 27*s.\nAnswer: 3*s - 3498","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582146.\nAnswer: 2, 29, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**0*n))\/n)**(-13)*(n**0)**(7\/6) assuming n is positive.\nAnswer: n**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1829 + 1829.000000278. What is l rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 2\/71, -0.36058 in decreasing order.\nAnswer: 7, 2, 2\/71, -0.36058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1169139827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 7 = -8. Let u = 8 + k. Suppose -4 = h, -o - 9 = 2*o + u*h. What is the least common multiple of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 + 19*q + 99. Let p(u) = u**2 + 18*u + 5. Let t be p(-17). What is the tens digit of i(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 5*k**4\/12 - 3*k**3\/2 - 3*k**2 - 19*k. Let v be q(5). Suppose -4*d = -2*d - v. What are the prime factors of d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-3))\/((-2)\/9). Let i be 3 + 9 + (28 - 37). Solve i*t = 7*t + r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - q**3 + 3*q**3)*(-q**2 - 2*q + 2*q).\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 20. Solve -16*k**2 - 19*k - k + k**c - 5*k**3 - 8 = 0 for k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 337014 or 337013?\nAnswer: 337014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 2250?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 448 - 7. Let a = l + -306. Is a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 0*u**2 + 4*u**2)*(-2*u**2 - u**2 + 0*u**2)*(8 - 3*u - 14 + u).\nAnswer: -12*u**5 - 36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*18)\/(6\/(-15)). What is the greatest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + 27. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by 32.\nAnswer: -43\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*n = -21, 4*n = -3*j - n + 5. Suppose -4*a = -4*p - 20, 3*a = j*p - 10 + 23. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from frffydy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34553100 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**3 - 9*r**2 - r - 5. Let i(t) = t**3 + 13*t**2 - t - 19. Let v be i(-13). Is b(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7187, 28820, 64975, 115730, 181163?\nAnswer: 261352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -198*a. Let d(r) = 48*r**2 - 30*r**2 - 7*r**2 - 6*r**2. What is g(d(x))?\nAnswer: -990*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -13*q - 47. Let l(y) = -y**3 - y**2 + y - 5. Let r be l(0). Let i be (-30)\/q*r\/30. Is i at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p + 10. Suppose 0 = -p*r + 5*a + 13, 0 = 4*r - 3*a - 5. Put r, -3, -2 in ascending order.\nAnswer: -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -1 + 14 + (23 - 34)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 42*f = -9*f + 440 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 0.5, 0, -4, 0.2 in increasing order.\nAnswer: -4, -5\/4, 0, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x + 0*x)*(2*x**2 - 2*x**2 + 2*x**2) - 1 + 2*x**4 + 1 + 2*x**4 + x**4 - x**4 + 2*x**4 - 16*x**2 + 16*x**2 + 2.\nAnswer: 8*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.4 + -7.62. Let h = -0.692298 + 0.91224. Let g = o + h. Round g to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/(-54) - (-32)\/(-72)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -1 - (-299)\/(-1)*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -3*s + 55. Suppose -53*t + s*t + 803 = 0. Differentiate -803*j**2 + t*j**2 + 37*j**3 + 9 with respect to j.\nAnswer: 111*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 >= 1271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) - 2\/(-6). Let q(f) = f**2 + 3*f + 18. Let r(k) = -4*k**2 - 10*k - 55. Let g(v) = 7*q(v) + 2*r(v). Is g(i) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*v + 9. Let m = v - 0. Is 10 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -44. Suppose -s + 9 = -0*s - m, -w*s - 4*m = -28. What is the units digit of 5 - s - (-16 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -259, -370, -481, -592, -703?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 + -53. Suppose x - 1 = 0, -4*a - 3*x = -45 - h. Solve c - 6*c = -a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xjxxjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -4\/3, 2\/3, -321, -3 in increasing order.\nAnswer: -321, -99, -3, -4\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(10640\/(-24)))\/((-96)\/64)?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -3, -36 in descending order.\nAnswer: 3, -2, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10514 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 15) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18064264 and 1072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 6 - 26. Let w be 2 - 0\/(-3 + -1). Find the third derivative of 4*v**2 - v**w + v**2 + 3*v**i wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 374 = 8*v + 15*v - 4*l, 0 = -0*l + l - 1 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05881 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39986236267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 20. Let u be o(-9). Differentiate -u + 10 + j**4 - 7*j**4 with respect to j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 37. Let t be (-82)\/(-4) - (-1)\/2. Suppose -3*o + 33 = -t. What is the lowest common multiple of c and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 229855, 458825, 687781, 916717, 1145627, 1374505, 1603345?\n\"Answer: -z**3 - z**2 + 228980*z + 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 16 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*o**3 + 277*o**3 - 115*o**3 + 303*o**3 - 127*o**3 + 462*o**3.\nAnswer: 1032*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 5:12 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5, -3*k + 2*a - 4 = 3. Let r be 51\/265*k + 3\/(-15). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1991, -3990, -5981, -7964, -9939?\nAnswer: -11906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*a + 2 = 0, -441*a = -5*f - 219*a - 220*a - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12325*l**3 - 32*l**2 + 4*l + 4. Let s(r) = -3759126*r**3 + 9768*r**2 - 1221*r - 1221. Determine -1221*b(h) - 4*s(h).\nAnswer: -12321*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7764 - 7764 + 48*m**2 - 2*m.\nAnswer: 48*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 20*w**2 + 20*w.\nAnswer: 5*w*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -88. What is the biggest value in l, 0, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5330\/82)\/1495*15\/(-5)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 230024087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 3 + 2 + -1. Suppose 0*z + z + 5 = c. Which is smaller: -7 or z?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 3*m + 5. Let p be h(2). Sort -6, p, 0, -4 in descending order.\nAnswer: p, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.859 + -0.459. Let i = 17 + -16.96. What is the fourth biggest value in 1\/9, 3, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6*(-5)\/150)\/((-1)\/(-53)). Which is bigger: q or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 126*w + 6*w**2 - 121*w - 14*w**2 + (3 + 50 + 2*w - 11)*(-2*w + 5*w - 2*w).\nAnswer: -6*w**2 + 47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7598 and -29.2.\nAnswer: -7627.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)*k*k**(-7\/6)*k**(-10)*k\/((k**(-12)*k)\/k*k))**(2\/37) assuming k is positive.\nAnswer: k**(71\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 6*f + 3. Let b be z(6). Suppose 0 = -2*a + 4*h + h + 21, 3*h + 21 = -b*a. What is the units digit of (a - (0 - 0)) + 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*2*4 - (sqrt(104) - (sqrt(104) + sqrt(104)*2))*4)\/((sqrt(112)\/sqrt(2))\/sqrt(7)*-5).\nAnswer: -16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 33*o - 39. Let x be u(-35). Solve -32*z = -x*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 25 = -g - 9*f, f = -3. Let z be 2\/g - 279\/(-45). Suppose 4 = 2*a - 4*a, 2*q - 22 = 2*a. Calculate the highest common factor of q and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1256*z + 3 - 116 - 5484*z + 6.\nAnswer: -4228*z - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2785101 and 75957300?\nAnswer: 835530300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7 = 14. Let q be 6\/(-21) - 103\/h. Let n = q - -29. What is the lowest common multiple of 4 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196\/3*r - 1\/3*r**2 - 388\/3.\nAnswer: -(r + 2)*(r + 194)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 3, d: 1}. Give prob of sequence td.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -29, -16, 1.8?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36702750 + 36702661.000154. Let v = 0.018 + -89.018. Let g = v - s. Round g to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89\/126 - -5\/18. Let d = -0.37 - 1.63. Which is the closest to 0? (a) d (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = c, 0 = 5*c - 3*c - t + 11. Let l = c - -6. Suppose 15 = r + l*r. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006308 rounded to six decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -63. Let x = y - -62. Let 4*j**3 - x*j**3 + j**3 + 28*j**2 - 8*j**2 - 20*j = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 21*v**3 - 4*v**2 + 4*v + 3. Let w be y(6). Let b be (-194534)\/44 + -4 + 3. Let i = b + w. Calculate the common denominator of -67\/2 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27613 (base 10) to base 14.\nAnswer: a0c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25148 - 7410. What are the prime factors of p?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -5 (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, -1\/2, 221 in ascending order.\nAnswer: -1, -1\/2, 2\/9, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -11*c + 108. Let g(u) = -5*u + 53. Let i(z) = 9*g(z) - 4*w(z). What is the units digit of i(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4454 - -0.44556379. What is n rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2579, -2609, -2657, -2717, -2783, -2849?\nAnswer: -2909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*k = 239, -k + 21 = -n + 99. Which is smaller: n or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.111452 or -93?\nAnswer: -0.111452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(3\/4)*k\/k**(5\/4)*k**(1\/6)\/k**(-5) assuming k is positive.\nAnswer: k**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/9, 5, -4, 276?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2617 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-2 + (-5 - 35) - -25).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + x - 4*x - 14, 5*x = -15. Let v be 2\/(-4)*6\/(-8). Is v equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 16 = -3*v - 3*b, -12 = 4*v - 2*b. Put -1, v, 58, -4 in increasing order.\nAnswer: -4, -1, v, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-2 - 3 - 2)*(-2*a + 0 + 0).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**3 + 3*q**2 + 3*q + 6. Let l(b) = -12*b**2 - 24*b - 12. Let r(f) = -2*l(f) - 9*t(f). Suppose r(a) = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3064, -3075, -3090, -3109, -3132, -3159?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let t = q + 0.8. Which is the closest to -0.1? (a) t (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-2)\/4*-1. Suppose -b*m = -0*m - 9. Suppose 4*r + 185984 = 2*v, -2*v + 0*r = -m*r - 185988. What is v rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 + 80407a?\nAnswer: 804039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30131022211 (base 4) to base 10\nAnswer: -3265189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 517312 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 11. Let c be r(15). Let g be c\/(-18) - 76\/(-18). List the prime factors of g*245\/56*(-2)\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*n + 586523, n = 2*i + 693142 + 479884. Let w = i + 336511. What is w rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312202 + -2233332?\nAnswer: -10212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 54*j**2 + 116*j + 98. Determine d(-56).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -44*g + 425, 5*l + 35 = -298099*g + 298101*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 - 231*i**2 - 846*i + 2186. Calculate z(-73).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 1:54 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v + 250. What is w(24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -32, 13197 in decreasing order.\nAnswer: 13197, 10, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -724*p + 15. What is the tens digit of t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15688, 0.02, -3\/2, -5, -2, 4 in ascending order.\nAnswer: -15688, -5, -2, -3\/2, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -52. What is the remainder when (-24)\/l - (-69 + -7) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 351\/(-4) - 1\/(-4). Let f = u - -235\/3. What is the common denominator of f and (-106)\/(-24) - (1 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 779, 1546, 2315, 3086, 3859, 4634?\n\"Answer: h**2 + 764*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42228.23m in kilometers?\nAnswer: 42.22823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 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: What is -27 + -18 + (52 - 19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 28*i**2 + 83*i - 8. Let c be j(-3). Let s = 22 + -19. Put 5, s, -34, c in descending order.\nAnswer: 5, s, c, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116136713 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 l(s) = -9*s + 160. Let f be l(-21). Let v = f + -347. Solve 0 = -8*h + v + 30 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -403.\nAnswer: -5\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31209 + -31209.4. Sort -4, -0.1, h, -10.21 in decreasing order.\nAnswer: -0.1, h, -4, -10.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -37, -24, 5, -1, 4, -2 in ascending order.\nAnswer: -37, -24, -3, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/14)\/((-6)\/(-16)). Suppose x + 3*p + 11 = 6*p, 0 = -y*x + p. Let z = 1 - 2. Which is the nearest to z? (a) -0.1 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61969879 to the nearest integer?\nAnswer: 7872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 77 = 21. Let v = -8 + o. Let k be (-275)\/(-4) + 5\/v. Round k to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12763124*h*l**4 - h*l**3 - 70752*h*l**2 + 3*l**2 wrt l.\nAnswer: -306314976*h*l - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and 29154319085.1.\nAnswer: 29154319085.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -566.925.\nAnswer: -1133.85","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 275248 + 117492 = 112*t - 63996. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5145 is divided by 1068.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - m + 25. Let n be (5 - -1)*3\/(-2). Let b = m - n. Solve x - 7 = b*d, -6*x = -3*d - 3*x - 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 6 (b) -371 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 93 + 644 + 284 = 106*c - 129, 2*a - 31 = -3*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 85755.\nAnswer: 85751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.08444 rounded to two decimal places?\nAnswer: -10.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from wuwuuwwuuuuuuuuuuu.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.2 less than 0.3?\nAnswer: 177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -209 - -215. Solve -36*p - m = -34*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 8285 + 2252 = 0. Calculate the remainder when b is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3795, 15226, 34285, 60978, 95311, 137290, 186921?\nAnswer: 244210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -d + 2*m, -93 - 52 = -d - 5*m. Calculate the highest common factor of 70 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 2 + a)*(-4*a + a + a).\nAnswer: -2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 5*r + 2*r**2)*(2*r**2 - r**2 + r**2) + (-7*r**2 - 4*r**2 - 12*r**2)*(-5*r - 3 + 2*r + 2*r)*(-2*r + r - r).\nAnswer: -42*r**4 - 138*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4243098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7798 or -7795?\nAnswer: -7798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/63 - 50\/(-18). Suppose -8 = t*a - 41. Suppose -a = -f - 4. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0 + 8*y + 0*y**4 - 1\/15*y**6 + 0*y**3 + 0*y**5 - 2*y**2. Differentiate p(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 745*v + 166893. Calculate z(-224).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 916 - 943 = -3*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 6. Solve 4*z - w - 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6265 or 4231?\nAnswer: 6265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1160985 and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 11*u**4\/24 + 20*u**3\/3 + 37*u**2 + u. What are the prime factors of b(20)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13039, 3, -2, -6 in increasing order.\nAnswer: -6, -2, 3, 13039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3*q + 2*y + 25, -4*q + 4*y = -8. Let w(p) = 2*p - 10. Let o be w(q). Solve -20 = 5*n - 5*c, 7*n + c = o*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 7. Let q be t(12). Solve -q*j + 2 + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 67, -164, 8 in descending order.\nAnswer: 67, 8, 0, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:23 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 - 2)*-1*(-12)\/2. Let d = 22 - n. What is the highest common divisor of d and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.99. Let m be 171\/60 - 5\/10. Let u = m - 9\/4. What is the third smallest value in -0.1, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2250 - 4833 = -3150*g + 5492 + 25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acaa when four letters picked without replacement from {c: 1, a: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 g when four letters picked without replacement from {g: 2, e: 1, z: 14}?\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13589 divided by -208\nAnswer: 13589\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-70) + (-829)\/4145?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/4)\/(1\/8). Let f = -9 + b. Suppose 5*s = f + 19. Calculate the remainder when 6 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13797 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - t - 2. Let j(s) = -11*s**2 - 5*s - 8. Give -2*j(b) + 9*n(b).\nAnswer: -5*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84332969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-8)*(-2)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 26?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-2\/9)))\/y)**(-3\/2)\/(y**(-1)*y\/(y**(-1\/2)*y)))**(-12\/13) assuming y is positive.\nAnswer: y**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {w: 7, t: 5, q: 5, r: 2}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 - 28*z + 28*z)*(-2 + z + 2) - 4 + z**3 + 4 + (-3*z + 3*z + 2*z**2)*(0*z + z - 3*z + (-z - 3*z + 2*z)*(2 - 4 + 5)).\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 20*s**2 - 21*s + 9. Let z be d(-21). Let q be (z\/(-2))\/((-11)\/198). What is the greatest common divisor of 54 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 20. Let w(z) be the second derivative of 10*z**3\/3 + z**2\/2 - 2*z. What is the remainder when w(1) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 9:54 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojwwvowvvez. What is prob of sequence zo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruuxrvuu. What is prob of picking 1 v and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 185 and 3956595.\nAnswer: 3956595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + (82 - -2) + 0 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12668, -12700, -12742, -12800, -12880, -12988, -13130?\nAnswer: -13312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68.067 - -68. What is c rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*h - 256*h - 4*a - 8 = 0, -6*a = -6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*u - 75*u + 5*i = 405, 12*i - 15 = -u. Let w be (-55)\/(-1) - (0 - 2). Let z = -39 + w. Calculate the remainder when u is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 468*a**2 + 469*a.\nAnswer: -a*(a - 469)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 - -16 - (2 - 0). Let x(h) = -3*h**2 - 2*h**2 + l*h**2. Let o(n) = -3*n. Give x(o(g)).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5869004 at least as big as -5869026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(6\/11))\/f*f**(2\/11)*f**(-3\/4)*f*f**2 assuming f is positive.\nAnswer: f**(83\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - (3 + 5 + -9)*3. Which is the closest to -2? (a) 3 (b) f (c) 2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26 + x - 23 + x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -22*t + 19*t. Calculate the common denominator of -5\/27 and (-20)\/(-22)*(3 - t\/12).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f**2 + 3*f. Suppose 8*x - 3*x + 21 = m, -5 = 2*x + 3*m. Let s(y) = -12*y**2 + 4*y. Calculate x*b(n) + 3*s(n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8340?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0505 + 0.0495. Which is the biggest value? (a) 1 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24414*w**2 + 3999*w**2 + 32466*w**2 - 2*w + 0*w + w.\nAnswer: 60879*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(((-6174)\/(-324))\/(-343))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.30083 from -2788.97.\nAnswer: -2788.66917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**4 - h**2 - h + 5. Let i(k) = 4357*k**4 - 2*k**2 - 2*k + 4317. Let z(v) = -2*b(v) + i(v). What is the first derivative of z(q) wrt q?\nAnswer: 17420*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/36 and 139\/1098?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7\/19, 147, -0.8, -4, 0.3, -0.4, 1\/3?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3919248 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/2)*s*s**(-12)\/s*s)**(-47)\/(((s*s**(-2)*s*s*s*s)\/s)**16)**(-33) assuming s is positive.\nAnswer: s**(3381\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 161 + 125 = 0. What is the lowest common multiple of 38 and d?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 8*t)*(-446 + 1092 - 394).\nAnswer: 2016*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.2317 + 0.8.\nAnswer: -33.4317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174218*d**2*p**3 + 52*d**2*p**2 + 2*d**2*p - 280*d*p**2 - d*p + 14*p**5 wrt p?\nAnswer: 1045308*d**2 + 840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 24*z.\nAnswer: -4*z*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 11 = 3*n, -3*q = -2*q - 4*n + 9. What is the common denominator of ((-6)\/(-20))\/((-72)\/(-220)) and q\/6 + 5\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/147 and -48\/285229.\nAnswer: 855687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -32. Suppose -6*u = -u - t. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from uubbbbbbbbbbbub?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86006 - 602039\/7. What is r in k*r**4 + 0 + 9\/7*r**2 + 12\/7*r**3 + 0*r = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**3*c**4 - 8*a**3 - 3*a**2*c**2 - 5070*a*c**2 - 3646*c**5 + 2 wrt c.\nAnswer: -240*a**3*c - 218760*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 63, 2, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 26940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/491985 and -5\/15093.\nAnswer: 63466065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -1 (c) -0.07 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 11) to base 10\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, g: 5, p: 4, i: 4}. What is prob of sequence gipp?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003554 rounded to five decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let n = -14 - -7. Let u = n + 7. Which is the closest to t? (a) 5 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118660 is divided by 190.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-1056))\/((-1)\/(-1)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.59 times 223?\nAnswer: 16410.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**4 - 264*v**3 - 79*v**2 + 3 wrt v?\nAnswer: -96*v - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -16)\/5 - ((-192)\/15)\/(-8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 14.5. Which is the nearest to 5? (a) 4 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -101. Let n be s - (-3)\/(9\/6). Let c = n - -180. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6680 is divided by 3281.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 3. Suppose 3*x - 5*j - 11 = 19, 3*x - 27 = 4*j. Suppose -q = x*n + 5, 2*n = 4*q + 3 - 5. Let l be 3*(q - (-6)\/(-9)). Calculate i(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125444055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -14 + (232 - 225) + 6 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 33235240?\nAnswer: -33235230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/4))**(-1\/32)*(g\/g**(-21))\/g**(-14) assuming g is positive.\nAnswer: g**(4613\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201012210110 (base 3) to base 2.\nAnswer: 101011111110100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 3, 1, 23, 68, -3 in increasing order.\nAnswer: -5, -3, -1, 1, 3, 23, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1082\/7 - -154. Suppose c - 2*z + 22 = -4*z, -26 = 3*c - 4*z. What is the closest to c in d, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 65*z**5 + 1905*z**4 + 6710*z**3 - 7530*z**2 - 6775*z + 5625 = 0.\nAnswer: -25, -5, -1, 9\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16478\/(-154) + (6 - 1)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjjrtjjv. Give prob of sequence vtr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 11*q. What is the closest to 0 in 0.2, 0.4, -1.7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8) - 4*sqrt(8)) - (sqrt(192) - (4 + sqrt(192) + sqrt(192))) - (-4*(sqrt(147) + 1 + sqrt(147)) - (3 + -1 + sqrt(147))))**2 + -4.\nAnswer: 4240*sqrt(3)\/3 + 45232\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29810 + 59621\/2. What is the nearest to 0.1 in -1, 2\/21, 2\/7, v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 429*p - 5. Suppose 5*b - 9*y + 8*y = 2, 0 = -2*b - 3*y + 11. What is the hundreds digit of s(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3550 - 3550 + 6*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 37 = -38. Let l be 2\/(t - -23)*4. Let i = 5 - 7. Which is the biggest value? (a) l (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -44. Suppose -2*p + 9 = t*p + 4*f, f - 6 = -2*p. Solve -9 = 3*w, 0*d + 12 = -p*d - 4*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -9) + -4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232 - 227. What is the biggest value in w, -3, 1\/97?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15744 is divided by 69?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 17. Let s(k) = -k + 8. Let c(i) = 6*h(i) - 11*s(i). Let y be c(7). Let o = y + 4. Calculate the remainder when 31 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0.04 (c) 2\/9 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473209, 946415, 1419621, 1892827, 2366033, 2839239?\nAnswer: 3312445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5 + 75*u**3 - 2*u - 551.\nAnswer: -40*u**3 + 450*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/152031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 25*s**2 - 29*s - 92. Determine y(-24).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i + 2*i + (0 + 2 - 1)*(-11 + 6*i + 11) + (4 - 4 + 2*i)*(3 - 3 + 2).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:25 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 740.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/52 - 88\/(-176)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3644*p**3 - 13*p**2 - 79 wrt p?\nAnswer: -21864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 222201 (base 3) to base 11\nAnswer: 5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 3*p + 4. Determine m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 17. Suppose 5*n + 13*q - 12*q = 57, 2*q + 40 = 4*n. Is n less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*f**3 - 43*f**3 - 70*f**3 - 69*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*d - 126*d + i - 16 = 0, 3*d + 3*i - 21 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -49, -11, 0, 10, -18, 2 in decreasing order.\nAnswer: 11, 10, 2, 0, -11, -18, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2358 + 2352. Let k = 1023.99976 - 1018. Let c = k + i. What is c rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-2 + 2 - q**2)*(2 - 2 - 6*q)*(-3 + 2 + 3).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -26, -2, -16, -83435 in ascending order.\nAnswer: -83435, -26, -16, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.8 + 164.8. Let j = 12971 - 12971.2. Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(156\/32))\/(316\/(-4503))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {t: 3, v: 1, s: 3, e: 2, p: 5, o: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -19 - ((0 - -3) + -3). Let g = v - -20. Is -18*(g - 2)*1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-64)*(1 + -9). Suppose -n*u + 0*u = -465. Are 92 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22151 * 4\nAnswer: 88604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 0*o + 10*o - 5*o. Let l(i) = 1 + 2*i**2 - 1. What is l(g(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2 + 19*h**2 - 17 - 7 - 6. Let n(a) = 6*a**2 - 11. Let u(r) = -17*n(r) + 6*y(r). What is the derivative of u(d) wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*1)\/sqrt(11) + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2. Let k(z) = z - 1. Let y be k(4). Let x(u) = 3 - y*u - 4 + 1. Calculate x(a(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-three fifths of a kilogram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 divided by 2.\nAnswer: -149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 107. Calculate the remainder when w is divided by 630\/28*(-24)\/(-60).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-38)\/(-72) - -4*5\/(-60) and -46\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13776918 is divided by 289.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -0.3. Let o = -15.456 - -17.456. Let c be 4\/(-5)*(-2)\/12. What is the closest to -0.1 in k, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 169*s - 117*s - 48*s - 3 + 2.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -48. Suppose 3*w - r = -w. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33002219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrarrrar. What is prob of picking 2 a and 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 92713142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, o: 3}. What is prob of sequence oqqo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 149509 greater than 149510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -637, -2402, -5289, -9298, -14429, -20682, -28057?\nAnswer: -36554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 14*t**2 - 407*t + 339. What is y(28)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqfffqqq. Give prob of picking 2 q, 1 f, and 1 y.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33584*m**3 + 0 + 3 + 34086*m**3 - 1.\nAnswer: 502*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 119. Let c = -62 + p. Let m(x) = 5*x**2 + 4*x - 4. Let h(s) = -4*s**2 - 3*s + 3. Let n(o) = c*m(o) - 4*h(o). Let n(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674419228.\nAnswer: 2, 7, 337, 71473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 53 = 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4990728 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 times -13.2327?\nAnswer: 80.71947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*j + 3*j + 2*z, 0 = 5*j - z - 2. Let t = -137 + 141. Which is the closest to t? (a) j (b) -0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:13 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 29. Suppose 24 = -w - 3*w - 5*r, w + 5*r + 21 = v. Let k be 1\/(-5)*-65 + 1\/w. Calculate the greatest common factor of k and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-45) - 16\/(-10). Suppose 0 = -5*w + 3*p + 32, p = w - m*w. Let -104*o + 104*o + 12*o**4 - 8*o**3 - w*o**5 = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193339868?\nAnswer: 2, 29, 43, 83, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c - 8. Let u be (c\/(-11406))\/(-2)*1. Let x = u + 427739\/79842. What is the common denominator of x and -61\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 54 = 6*f. Suppose 8*j = f*j - 60. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-48)*(884\/273)\/(-34)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c**2 - 5*c**2)*(0 - 3 + 1) - 2*c**2 - 4*c + 4*c + 3*c**2 + 0*c**2 - c**2 + (5 - 5 + 2*c)*(0*c + 0*c + 2*c) + (1 - 1 + c)*(-c + 2*c + c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2634914 less than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 24*l - 478. Determine n(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 6*g + 4. Suppose -22 = 78*a - 256. What is c(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25750 in 5, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -7*i**6\/720 + i**4\/6 + 4*i. Let c(x) be the third derivative of r(x). Let o(t) = -2*t. Calculate o(c(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 91\/(-7) + 28\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 6*v**2 - 5*v**2)*(-3113 + 1689*v - 3382*v + 1692*v).\nAnswer: -v**3 - 3113*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 36*u**2 + 3*u + 2. What is i(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l**3 - 25*l + 51*l - 26*l.\nAnswer: 27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/(a*a\/a**0))**(-6\/7) assuming a is positive.\nAnswer: a**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 2 + sqrt(243) - sqrt(243)) + -5 + (sqrt(243) + sqrt(243) + -3)*2.\nAnswer: -9 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let y = -4 + t. Let g be 2\/7 - 26\/42. Which is the closest to -1? (a) 0.3 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*d**4*x**2 - 4*d*x - 172*x**2 wrt d?\nAnswer: 32*d**3*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 39. Suppose -4*u + 21 + t = 0. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + h + 8, 2*h = 4*k + k - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + (-132)\/66?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11855*b + 1246 = 23743*b - 11778*b - 1614 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + q**5 + q**4 + 2*q**5 - 2*q**5 + q**5 + (3*q**3 - 3*q**3 + 4*q**5)*(0 + 1 + 1).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -p + 56, 4*d = -3110*p + 3112*p - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 + 26\/(-8)*-1. Suppose s*d = d - 5*r + 9, -r = d - 6. Solve 5*j = -2*h - d, 3*h - 4*j + 2*j - 18 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4589501 by 655643.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**20\/h)\/h*h**5\/h*h\/h**(-4\/15)*h\/h**(-4) assuming h is positive.\nAnswer: h**(424\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -31*v**3\/2 + 191*v**2\/2 + 54*v + 5. Determine i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxednrxa. Give prob of sequence edd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 380\/65 + (-2)\/(-13). Let h be -1 + -2*(-291)\/n. Let q = 136 - h. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -384440820*c**5 + 639763900*c**2 wrt c?\nAnswer: -23066449200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -632.99 - -629. Let u = 0.4 - 0.39. Let y = u - s. Which is the closest to 2\/3? (a) y (b) 1\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 758\/(-126) + (85 - 7)\/13.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -4. Let l = 0.8 + 0.2. Let w = l + u. Which is the closest to 0.1? (a) w (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 11\/20*x**5 + 0*x**2 - 1\/15*x**6 + 0 - 1\/12*x**4 - 137\/6*x**3 - 74*x. What is the third derivative of l(w) wrt w?\nAnswer: -48*w + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 7, -4*t + 582 = -2*j. Let x = -292 - j. Put -15, x, 4 in ascending order.\nAnswer: -15, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - -13475?\nAnswer: 13459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358315 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6639*x. Let h(y) = -6*y. Determine h(s(v)).\nAnswer: 39834*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377497?\nAnswer: 43, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c**2 + 176 - 43 - 45 - 42 - 43 - c to the form p*c + l + n*c**2 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/9 + 7\/(63\/(-6)). What is the third derivative of 31*g**3 + g + 31*g**3 - 4 + 45*g**4 + 4 - 64*g**t - 34*g**2 wrt g?\nAnswer: 1080*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - a - 1. Let d(n) = -n**3 + 4*n**2 + 5*n - 5. Let g(o) = -d(o) - 4*i(o). Let m be g(0). What is the units digit of (0 + 24\/m)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 5989 and -2996 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) 0.09 (c) -16 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 1 + 139*s.\nAnswer: 139*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33716909 divided by -119989?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49 - -6?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -95078 divided by -694?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = x - 13, 11*m - 8*m + 34 = x. Suppose 0 = 5*h + 71 + 34. Let d = x + h. Solve 4*i = -5*b + 45, 0*b + 4*i = d*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + (56\/(-6))\/(-2). Suppose l = 0, -4*j - 12*l = -9*l - n. Let f be 3 + (j + 0)*(2 - 3). Calculate the highest common factor of f and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - t - 6*t)*(4 - 4 + 19) + (-t + 5*t - 3*t)*(6 - 1 - 3) + 0*t + 3*t + t.\nAnswer: -184*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462662 is divided by 539.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -549 + 1425. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5175 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200229 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*0\/(-2) + -1. Let x = w - -3\/4. Let z be (-5)\/(-2) + -2 + 1. Which is the biggest value? (a) z (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19564 is divided by 6494.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1787 - 1736. Calculate the highest common divisor of 697 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76551404 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1493\/66 - -247\/11. Let n = -7.2 + 7. What is the third biggest value in 1, n, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 + 5*p**2 - p + 6. Let l = 9 + -20. Let v(h) = -11*h**3 + 9*h**2 - 2*h + 11. Let u(a) = l*t(a) + 6*v(a). List the prime factors of u(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 84. Suppose -3*v + 13 = 4*w, -5*v + l = 2*w - 6*w. Let s(t) = t**2 + t + t**2 - 2*t. Give s(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2497*a - 32493. Determine s(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4 - 149873664*b**3 + 2495790473504760*b**2 - 13853821776545492836800*b - 27707653536254078682000 = 0. What is b?\nAnswer: -2, 16652630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 698054 at most 698052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1084\/12 + (-49)\/147. Calculate the greatest common factor of 2190 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-81 + -23 + 11)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40, -75, -92, -85, -48, 25, 140, 303?\n\"Answer: z**3 + 3*z**2 - 51*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 707 by 3.\nAnswer: 707\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91767 divided by -181.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 728*b**2. Let m(l) = -6*l**2. What is m(x(h))?\nAnswer: -3179904*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-103 - -53) + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -21\/44?\nAnswer: -21\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*x - 363513 = -372861 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.3 and -571343429.\nAnswer: -571343435.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 166332 = -46188. Does 140 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d - 5 + 3)*(-2*d + 0*d - 2*d + (-1 - 4 + 3)*(-5 + 2*d + 5)).\nAnswer: -8*d**2 + 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfncfnnnfcfpnccf. Give prob of picking 1 c and 1 n.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.117 - -15.217. What is the closest to v in 0, -2\/7, -78, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, k: 13}. What is prob of picking 2 z and 1 k?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(85) - 2*-2*sqrt(85))\/(-1*(sqrt(605) + 2*sqrt(605))).\nAnswer: -10*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3 - 2 + 5*m**2 + 30*m**3 - 12*m**3 - 17*m**3 - 7*m. Let q be k(-6). Is 17477\/q + (-8)\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 735 + -1400. Let x be v\/(-119) - 3 - 2. Factor -6\/17*c - x*c**2 + 4\/17.\nAnswer: -2*(c + 1)*(5*c - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/2)\/(-2) - -2. Let x be z\/5*5\/2. Let s = 0.8943 + 0.1057. Put x, -2\/5, s in ascending order.\nAnswer: -2\/5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 172*f**2 - 360*f.\nAnswer: 4*f*(f - 2)*(f + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 26 = 4*r + 3*s, -3*r + 27 = 3*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*b**2*h - 4509*b*h - 253858*h wrt b.\nAnswer: 58*b*h - 4509*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = h + 4*l - 7, 2*l = -3*h + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 42.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -359375 * -98.8\nAnswer: 35506250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 181, 49, -147, -413, -755?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k. Let u(p) = 57*p. Let m(t) = -4*u(t) - 33*y(t). Suppose 4 = -i + v + 2*v, i - 4*v = -6. Let l(d) = 0*d**2 - 3*d**2 - d**i. What is m(l(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153571552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 16) in base 7?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:31 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130851 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -24*y**2 - 147*y - 15. Let c be m(-6). Solve c*n + 4*n = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*7 - (2106\/(-240) - -1)*-12. Which is bigger: -86 or y?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + 0) - (sqrt(8) + -5).\nAnswer: 5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 29, 23, 15, 5, -7?\n\"Answer: -u**2 - u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29409 + -2646853\/90. Let s = 1\/45 - x. Suppose 2*z - 5 = -3*v, -2*v + 3 = z - 2. Which is the smallest value? (a) -5 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/59756 and -33\/1000913?\nAnswer: 4003652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/1)\/(9\/(-6)). Let m be x\/(-14) + (-40)\/(-7). Suppose m = -l + 3*l. Solve l*n = 2*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f. Let p(g) be the second derivative of -2*g**2 + 0 - 1\/3*g**3 - 217*g. Determine p(v(o)).\nAnswer: 18*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 53*o**3 - o**4 - 61*o**3 + 0*o**4 - 3*o**2 as r + n*o**4 + x*o**2 + j*o**3 + s*o and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 15*g + 19. Let k be n(-14). Let i(o) = -1 - k + o + 6. Let a(t) = -2*t**2 - 4*t. What is a(j) + 3*i(j)?\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -1\/2, -0.04?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/15 - 392*i**2\/5 - 786*i\/5 - 236\/3.\nAnswer: 2*(i - 590)*(i + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - g - 1. Let n(t) = 4*t**2 + 2*t + 2. Let o(x) = -2*l(x) - n(x). Let a(f) = f**2 - 153*f + 5851. Let q be a(77). Give o(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f - 5. Let s be t(1). Solve 3*q - s = 0, -3*q = 3*k - 5*q + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -28. Solve -4 + 6 = v*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/(28\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 2484, 5622, 10024, 15690?\nAnswer: 22620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11587 (base 9) to base 7\nAnswer: -31444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -4102?\nAnswer: -4075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*y - 6. Suppose 8 = 4*w, n + 3*w - 63 = w. Suppose 0*t = -3*t - 5*a + 65, -3*t + a = -n. Calculate the smallest common multiple of y and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d - 23*d + 34*d.\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/((-16)\/(-4)))\/((-16)\/8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(5*1*sqrt(180) + sqrt(180))\/(sqrt(729)*-2).\nAnswer: 3 + 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-45)\/(1620\/(-7248)) - 1\/3 is divided by 60.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6\/5 (b) 2\/5 (c) 17 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**4*u)**(-12\/5)\/((u**2*u)\/u**(-6)))**(9\/11) assuming u is positive.\nAnswer: u**(-1053\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.4 (c) 25\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-4)*6\/4. What is the units digit of (-21)\/(-9) - 2\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 17*s**2 - 43*s - 46. What is the remainder when j(-18) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -2 + 24\/30*3. Suppose 4\/5*y + j*y**4 + 0 - 2\/5*y**2 - 4\/5*y**3 = 0. Calculate y.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 904.999293 - 905. Round y to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304407887 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5c53 (base 15) to base 11\nAnswer: -13847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 28. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 - (-65)\/7. Let r = 14614\/9 - 1624. Which is the closest to z? (a) r (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/6740484 and -163\/30?\nAnswer: 33702420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9268 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obzb when four letters picked without replacement from zobzzbboooz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = y + 29 + 50, -n = y - 38. What is the remainder when n is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25798649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.04 - 19. Let x = 0.14 - h. Which is the biggest value? (a) 5 (b) -2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 7*i + 8. What is the remainder when 13 is divided by t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 18, 32646, 1, 53 in decreasing order.\nAnswer: 32646, 53, 18, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5130878, -0.4, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 23 - 4 = -3*w, 0 = -3*w - 5*v - 34 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3\/8 - 878241*s**2\/8 - 8034395673*s + 16069010907\/2 = 0. What is s?\nAnswer: -146374, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/30074 and -57\/88.\nAnswer: 120296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.79 + -8?\nAnswer: -82.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 193*b - 132. Let k be m(2). Let o = k - 230. Solve 4*t = -3*v - 2*v - 27, -5*v - o = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.25768322 and 1379.6.\nAnswer: 1379.85768322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 u when three letters picked without replacement from sssusssuoussoesssses?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -31565 - 65865. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/((v*v**40)\/v))\/v)**41 assuming v is positive.\nAnswer: v**(-1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4596 and 4596.\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215969973 to the nearest integer?\nAnswer: 14696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.62076l?\nAnswer: 2620.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7771 - 15601\/2. Find the common denominator of (-47)\/(-6) + (-1)\/(-4) and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = 0, 2*n + 0*n = -4*d + 2. Suppose -d*r = -5*w - 31 + 5, -3*r - 5*w - 14 = 0. Determine g so that -1\/4*g**3 - g - g**r + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + -30 + -59 + 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2312\/(-255) - -1 - -7?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 7 = -2*w + 4*a, -16 = 4*w + 4*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 10. Let t(d) = 3*d + 20. Let b(i) = -2*t(i) + 5*u(i). Give b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) 2\/3 (c) 1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) 2\/66147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 26\/5 of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -34, 17 in descending order.\nAnswer: 17, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4716, 126 in descending order.\nAnswer: 4716, 126, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13\/7800*-25*45\/6\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = 2. Let p = 0.12 + 1.88. Let w = p + -1. What is the nearest to w in 0.3, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -21*o - 11*o - 40*o + 98*o - 46 - 33. What is s(5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24046557077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 - -5.3. What is the second biggest value in s, -1, 1\/8, 2\/23?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 188686, 188690, 188696, 188698, 188690, 188666?\n\"Answer: -m**3 + 7*m**2 - 10*m + 188690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139857463?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813266 is divided by 1437?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32202808 divided by -4.\nAnswer: -8050702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314242 + -2?\nAnswer: 314240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 + 388. Let w = y + -210. Is w a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/1421, -0.1, -1.\nAnswer: -1, -0.1, -4\/1421, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 3*n + 3. Calculate the remainder when 1*-5 - (-9 + -22 + 1) is divided by p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*1)\/(sqrt(72)\/(sqrt(45)\/sqrt(5))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 1\/9*z**5 - 1\/15*z**6 - 1\/12*z**4 + 0*z + 0*z**3 - 1\/504*z**8 + 0 + 2\/105*z**7 + 79*z**2. Factor y(m).\nAnswer: -2*m*(m - 3)*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9304371?\nAnswer: 3, 31, 33349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 23*w - 5. Calculate a(-27).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 375 = -z. What is the remainder when 47 is divided by 30*5*6\/z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 540*v + 1665.\nAnswer: -5*(v - 3)*(v + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 3 + 2*y - 4)*(425*y**2 - 18*y**2 + 282*y**2) to the form z*y + v*y**3 + x*y**2 + c and give x.\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7 + a**3 - 5*a + 7*a - a. Calculate z(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24461\/22 + -1111. Calculate the common denominator of b and 119\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 7 (c) -4141.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m. Let f(r) = 3*r**2 - 4*r + 756. Give f(p(a)).\nAnswer: 147*a**2 + 28*a + 756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 1178?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277.3 + 277. Put -5, p, -57 in decreasing order.\nAnswer: p, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108097.\nAnswer: 11, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/15, 166, 7?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -282*-506\nAnswer: 142692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*1 + -4)**2 + (sqrt(48)*6 + sqrt(12))**2.\nAnswer: -64*sqrt(3) + 2236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + 6*(sqrt(475) - -2*sqrt(475) - sqrt(475)))**2 + 4 - -6*((sqrt(228)\/sqrt(4))\/sqrt(3) + 3)**2) + -3.\nAnswer: 36*sqrt(19) + 80444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 634*c + 57 + 35 + 36 - 125 in the form z + v*c and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + -14 - 19*4. Is v*((-135)\/72)\/((-18)\/(-8)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039134 at most as big as 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 - (50 - -14)) + 87?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/((1 - -18)\/19 - 0)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 613, 4762, -1\/3, -2\/9 in descending order.\nAnswer: 4762, 613, 17, -2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 4*s - 3, 14 = 2*h + 4*s. Suppose -p + 0 - 6 = 3*v, -v = -2*p + 9. Let u(k) = 2 + 1 - 4 + p*k. What is u(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 22 = h, -2*x - 11*h = -16*h - 127 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - f - 273, -3*y + f + 128 + 35 = 0. Calculate the greatest common factor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8 - (168 - 167)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91985129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 1)\/(4\/(-38)). Let r = 41 + i. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -12.5912302?\nAnswer: 12.8912302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**6\/240 - f**5\/12 + 2*f**4\/3 - 8*f**3\/3 - 767*f**2. Factor u(y).\nAnswer: (y - 4)**2*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -45, -1, 3 in decreasing order.\nAnswer: 3, 0, -1, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 + -90. Calculate the least common multiple of 2\/((-2)\/(4*-2)) and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30686010491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 4*f + 11*f. Solve 2*i = -2*i + p + 8, -4*p - f = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -61, -1, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 12 - 0 - (-1 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 922636 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 + -281\/2. Let c(v) = -1840*v - 1838. Let i be c(-1). What is l in 3*l - y*l**i + 3\/2*l**3 + 0 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 5*q**2 - 5*q + 3. Determine l(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.133 to two decimal places.\nAnswer: -27.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 265223614, 265223616, 265223618, 265223620, 265223622?\n\"Answer: 2*m + 265223612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -580 (b) 7 (c) 2 (d) 0.1 (e) -1550 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(11) + 2)*-6 - (-5*(sqrt(11) + sqrt(275)))**2).\nAnswer: -9911 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 732*i**2 - 78.\nAnswer: 732*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - m**5 + m + (-117*m + 5 - 14*m + 10*m)*(5*m**4 - 4*m**4 - 2*m**4) - m**5 + 3*m - 3*m + (2*m**3 - m**3 + m**3)*(-3*m**2 + 6*m**2 - 2*m**2).\nAnswer: 121*m**5 - 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, -5, 1, 19\/12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153.8 - 119. Let y = n - 35. Let v = 1.6 + y. Round v to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1018 + 1016. What is the closest to 2\/3 in 0.1, z, -33, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -49*c + 11 + 19*c + 49*c. Is p(23) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -v + 4, -5*s = 2*v + 17. Let c be 6 + v + (-273)\/54. Suppose 0 = -p + 4*p + 3*r + 6, 5*p + 3*r + 4 = 0. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83949 is divided by 11922?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/45 and -103\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1574\/5231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -23312222211 (base 4) to base 11\nAnswer: -1832784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*m + 290*m + 327*m.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 17. Calculate the greatest common factor of u and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 27493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2394 - -2394. Solve 106*p - 112*p + 36 = o for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 3980*r + 1275225.\nAnswer: -5*(r - 1041)*(r + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/62958 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/45 + (-50)\/18. What is the units digit of 42\/3*k\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8570 + 3079 = 33*b. Suppose -f = b - 982. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j - 1. What is z(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 - 14*s**2 + 6*s - 29. Let y(r) = -r**3 - 5*r**2 + 2*r - 10. Calculate -4*o(u) + 11*y(u).\nAnswer: u**3 + u**2 - 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 24. Let i be 4\/(-3)*v\/12. Suppose 25 = i*s - 20. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5) + sqrt(5) + -2 - sqrt(5) - (sqrt(30)\/(-2*sqrt(6)))**2 - ((sqrt(150)\/sqrt(3))\/sqrt(10) + 0 + sqrt(320)).\nAnswer: -11*sqrt(5) - 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - -1*sqrt(1700)*-1)*2)**2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*((-1491)\/462)\/(-71)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -339292, -339294, -339296, -339298?\n\"Answer: -2*j - 339290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 3:05 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 3*l + 1. Let v(u) = -13*u**2 + 9*u + 180. Give 3*c(d) - v(d).\nAnswer: 4*d**2 - 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -174561, -3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 - -2.8. Sort 4, 5, f in decreasing order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 7:21 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.97 to 1 dp.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s + 80 = 0. Suppose s = v - 3. What is the remainder when 56 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 3*o**2. Let f(s) = s**3 + 5*s**2 + s. What is 3*f(q) + 5*w(q)?\nAnswer: -2*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -466 times 47870\nAnswer: -22307420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1113018 - -2128.91.\nAnswer: -1110889.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 404.3?\nAnswer: 404.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -85*r - 3. Let o = 10 + -14. Let j be s(o). Round j to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 960019?\nAnswer: -1056020.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 241\/3 + -80. Let a(m) be the first derivative of -1\/4*m**4 + n*m**3 + 2 - 4*m + 0*m**2. What is a(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/24)\/((8\/(-944))\/(-1)) and (-63)\/16 - (-1 - 3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*y + 4 = 2*y, -3*y + 10 = -z. Let a be -2*5678\/8 - z\/(-2). Round a to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 268\/(-35) - (-3)\/(-15). Let i = 26\/7 + s. What is the common denominator of i and 77\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 15, 11, 9, 9, 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 7*y - 1. Let b be s(-7). Let d be -3*(-10)\/(-4)*(-44)\/(-495). Suppose 0 = -5*c + 3*c + 2. What is the closest to c in b, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 326*y**2 + 174*y**2 + 3*y**3 + 189*y**2 + 2 to j + b*y**2 + u*y**3 + q*y and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, and 1 m when three letters picked without replacement from wqbfzwmq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4629 - -6659. Let q = 4275 - 1040. Let o = q - h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3033, -12213, -27555, -49065, -76749, -110613, -150663?\nAnswer: -196905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -14*f**3 + 186*f**2 - 2940*f + 12363. Let i(n) = -62*n**3 + 838*n**2 - 13230*n + 55632. Let r(j) = -22*c(j) + 5*i(j). Let r(g) = 0. What is g?\nAnswer: 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 3635*g**3 - 3741*g. Let o(h) = 2*h. Give o(p(a)).\nAnswer: 43620*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j**2 + 2*j + 10*j**2 + 14*j**2 - 5 + 16 - 48*j**2 as y*j**2 + g*j + v and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36950 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152\/1459 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -40253, 18 in increasing order.\nAnswer: -40253, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 26 = -5*z, 0*z + 8 = s - z. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, 885, 1258, 1581, 1854, 2077, 2250?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1266, -1889, -2514, -3141, -3770, -4401?\n\"Answer: -l**2 - 620*l - 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128 - 140.4. Let y = n + 13. Which is the second smallest value? (a) 3 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242127154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -9262578440516.\nAnswer: -9262578440520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51\/101 - -1\/202. What is the nearest to k in 3, -0.5, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 14. Let n = 12 - p. What is the third smallest value in -1\/4, -1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.7 + 7. Let k = 10764 - 10759. Put -0.3, z, k, 2\/5 in ascending order.\nAnswer: -0.3, z, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*a**2*i**2 - i**2 + 17 wrt a.\nAnswer: -30*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2313 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 6:03 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3713 + 37077\/10. Let u = 23 - -52. Calculate the common denominator of (-4)\/16 - u\/4 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 369*2\/54?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -517, -1048, -1579?\nAnswer: -2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1030\/21 - 1021\/21. Put -0.1, v, 0.28 in decreasing order.\nAnswer: v, 0.28, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2570084 or -2570110?\nAnswer: -2570084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82334, 164667, 247002, 329339, 411678, 494019?\nAnswer: 576362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + -8 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*t + 4*p, -3*p = -5*t - 4*p + 13. Calculate the common denominator of 2 - t - 39\/7 and -56\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -111212100010220012?\nAnswer: -111212100010220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 837277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - r - 1. Let s(y) = -y - 8. Let p be s(-10). Let q(v) = -697*v**2 - 1 - 1 + 705*v**2 - 7*v - 5. Determine p*q(b) - 14*g(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -12. Which is the third biggest value? (a) 0 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -381137 and 2.\nAnswer: -381135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k + 5*s = -16, -3*k + 2*s + 10 = 0. Suppose 4*u - c = k*u + 60, 3*u - 77 = -5*c. What is the common denominator of u and -59\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Suppose y = -4*t - 1 - 3. Let d(p) = -p**2 - 12*p - 21. Let m be d(-10). Does t = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 262\/(-13)*44\/(-18480)*-60 - (-40)\/70.\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 21*x**2 + 33843*x - 14508 = 0.\nAnswer: -1612, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -395b3 (base 12) in base 10?\nAnswer: -78615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.1. Let h = -63\/2 + 32. Sort -2, j, h.\nAnswer: -2, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-27)\/21 - -1). Suppose -r = -3*h + h - 7, r = -5*h - z. Let b = 3 + -2. Solve x = -b, -r*c - 3 = 2*c - 2*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5956*f + 41699. Determine n(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 13*b**2 - 7*b - 13. Let l(z) = 11*z**2 - 6*z - 12. Let i(f) = -6*l(f) + 5*q(f). Let v(s) = 7*s**2 + 2*s + 1. Let n be v(-1). Calculate i(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/20)\/((-5)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29933 - -52972. List the prime factors of k.\nAnswer: 23039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + (6*(-4)\/6 - -579)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6032 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -1*7 - -2. Suppose -4 = 2*d - y. Solve b + 7 = -d*z, -4*b + 5*z - z = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 5, 6 in ascending order.\nAnswer: -4, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13018\/11403 + 2\/1629. Sort h, 0.5, -1\/2.\nAnswer: -1\/2, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 37\/15453?\nAnswer: 37\/15453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4329 by -97237.\nAnswer: -4329\/97237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2449 + 12433179536?\nAnswer: 12433179535.7551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*l - 845 = 60. Let r(d) = -d - 1. Let h be r(-7). Solve 0*a - 2*a - h = -2*m, 0 = a + l*m - 27 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2717, -5105, -7473, -9815, -12125?\nAnswer: -14397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 43352 = 5*n - 43385, -n + 2*p = p - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, q: 9}. What is prob of picking 2 q?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 288, 293, 300, 309, 320, 333, 348?\n\"Answer: d**2 + 2*d + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*(u*(u*u**(-9\/2))\/u)\/u*u*u))\/u)\/u**(-14))\/(u\/((u*((u*u**(-17\/4))\/u)\/u)\/u)*u*(u*u**(-1\/9))\/u) assuming u is positive.\nAnswer: u**(301\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in -0.3, -0.4, 79, -3, 874?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 - 16. Let w be ((-1)\/(-5))\/((-2)\/(-70)). Let c(n) = 1 - w - n**2 + 3. Let u be 2\/(-6) - (-147)\/9. What is u*c(h) - 3*s(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361 - 171. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792 divided by -264.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 - 1028 = -48*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/4)\/(1\/(-2)). Suppose n = -2*j - 2, 5 = -4*j - n + 9. Which is the second smallest value? (a) 0.1 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 7 (c) 0.04 (d) -13 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127*-0.062806.\nAnswer: -7.976362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/12)\/(168\/1008)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*r + 2*j - 147, 5*j + 157 = 4*r. What is the greatest common divisor of r and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112\/(-196)*1204\/(-4) is divided by 94?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 155 = 3*l, l + 791 = -j + 6*j. Suppose -9*o = -j + 50. Calculate the remainder when 19 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12307 is divided by 876?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 603741.2m in kilometers?\nAnswer: 603.7412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*p - 1373 + 244 = -7886 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 minus 0.2601?\nAnswer: -75.2601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238720268?\nAnswer: 2, 53, 139, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/2)\/(7\/2352) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/4 - 2*j**3\/3 + j**2 + 2*j. Let l be 20\/44 + 18\/33. Suppose -l = 31*u - 63. Determine n(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 5*d**2 + 4*d**2 + 60.\nAnswer: -d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 14*x - 32. Let q be 6\/(-8) + 363\/(-44). Let n be l(q). Which is smaller: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 42*w + 151. Determine t(0).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -276, -272, -196, -12, 316, 824, 1548, 2524?\n\"Answer: 6*g**3 - 38*g - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2)*r*r**(-5)*r*((r\/(r\/(r*r**(-1))))\/r)**(-39))\/((r**(2\/13)\/r*r*((r\/((r**(-1\/4)*r)\/r))\/r)\/r)\/(r**(-2\/5))**(-16)) assuming r is positive.\nAnswer: r**(11569\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.322 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 1. Let s be f(7). Let u = s - -4. Let g(n) = -n**3 - 2*n**2 - 2*n. Let p be g(u). Put -2, p, 0 in decreasing order.\nAnswer: p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -4*z**3\/3 - 2008*z**2 + 7962. Suppose r(x) = 0. Calculate x.\nAnswer: -1004, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/((-11165)\/660))\/(3\/(-3*3\/(-9)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/1868507 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 0*r - 21 = 0. Let c(l) = -463*l + 99. Does 16 divide c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkk when three letters picked without replacement from {w: 7, g: 3, k: 2}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2 - 0. Let j be (440\/u)\/(1\/30). What is j rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 331 (c) -0.1 (d) -6 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 77*v**3 - v**2 + 4*v - 2. Let a be k(1). Suppose -2*x + 56 = -3*c - 28, 0 = -4*x + 3*c + 162. Calculate the greatest common divisor of a and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*i - 3*w + 59, w = -i - 18. Let y be (-9)\/i - (-26)\/(-68). What is the third biggest value in 5, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 114*p. Let s(v) = 5*v. What is s(x(o))?\nAnswer: 570*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33335381171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41385061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 2*k - d - 173, 0 = 5*k - d - 91. Calculate the highest common divisor of k and 1638.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**9)**(-17)*k**(4\/9)*k**(-1\/12))**(-9\/4) assuming k is positive.\nAnswer: k**(5495\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**2 - 2 + 2*n**4 + 1 - 12*n**2 - 2*n**3 + n + 4*n in the form c*n**3 + w + l*n**2 + z*n**4 + k*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -4, -0.3, -1\/2, 3.\nAnswer: -4, -1\/2, -0.3, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f75304 - -8?\nAnswer: 1f7530c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -214 and 0.09?\nAnswer: -19.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13)\/(a**(-36)*a))**(-39) assuming a is positive.\nAnswer: a**(-858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/37?\nAnswer: 14\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllqmmlqqlpmmmllq. What is prob of sequence qpl?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)*c\/c**(-2\/13))\/(c**7)**(-22) assuming c is positive.\nAnswer: c**(1861\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 48. Let k = t + 8. Solve -3*x - 9 = 2*g, 0 + k = g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 595, 2, 4 in increasing order.\nAnswer: 2, 4, 595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -43*i. Let u be k(1). Let o = u + 46. Suppose -3*l = 3*n - 0*l - 24, -5*n + o*l = -56. Calculate the remainder when 67 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 6:13 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 178776\/(-17940))\/(1\/5).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**1)\/f))**47)**(-17)\/(f*f\/(f**(-5)*f*f)*f*f**(2\/5))**(2\/53) assuming f is positive.\nAnswer: f**(-423534\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l - 82. Let m be f(16). Suppose 85*n = m*n - 42. Let h(u) = u + 8. Determine h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.4, 12\/803, 5\/2, -0.01 in increasing order.\nAnswer: -14, -0.4, -0.01, 12\/803, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.032 (c) 390.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-56)*(-4 + 74). Let f be (3*-2)\/((-6)\/4). Let p = f + g. What is the highest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:28 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(9\/2)\/u*(u**1\/u)\/u)\/(u**(-7\/6)*u*u*u**(-2\/15)) assuming u is positive.\nAnswer: u**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*i + 2*c + 6, -i + 5*c = -19. Let d = i - -11. What is the lowest common multiple of (10\/2 - -2)\/1 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14175515\/364 + 38944. Calculate the common denominator of x and 71\/4.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -17*r**4 + 30*r**3 + 76*r**2 - 281*r - 11. Let p(d) = -9*d**4 + 15*d**3 + 39*d**2 - 141*d - 6. Let x(a) = -11*p(a) + 6*z(a). Let x(n) = 0. What is n?\nAnswer: -3, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -601*i**7\/7 + 55*i**3\/3 + 24. Find the third derivative of c(k) wrt k.\nAnswer: -72120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i + 1. Let r be v(-6). Let s be (1 - 0)\/(1\/(-31)). Let n = 8 - s. Calculate the highest common factor of n and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -9*y + 4. Differentiate -5 - 2 - 22*l**2 + 15*l**2 + 22*l**y with respect to l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 7*y**2 + 6*y + 7. Give s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/15*2*5. Solve l + 11 = -3*n, -u*n + 2 = -0*l - 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, y: 5, v: 5, b: 2, q: 1}. What is prob of picking 2 y, 1 q, and 1 b?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 217743 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 1736, 1, 4 in ascending order.\nAnswer: -1, 1, 4, 6, 1736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06385 + 4.39685. What is b rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12276368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241679?\nAnswer: 241679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - sqrt(84)*1*-5 - sqrt(84)*2*-5)\/(2*(sqrt(192)*-1 + sqrt(192) - sqrt(972)*-1)).\nAnswer: 8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 80. Suppose -o = -2 - 0. Let s(j) = 2*j**2 + j - 1. What is the remainder when p is divided by s(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-966))\/(3\/54)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1577474, 3154936, 4732394, 6309848, 7887298, 9464744, 11042186?\nAnswer: 12619624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 264.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -15*c + 4. Let t(v) = v + 1. Give -i(a) + 4*t(a).\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-27) - 1487\/(-9). Let n be (-4)\/(-8) - 58\/(-4). What is the highest common factor of o and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, k: 1, v: 2, t: 2, x: 1}. Give prob of sequence xk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d\/(d\/d**(-39)))\/d)**18*(d*d**(-3\/5)\/d)**9 assuming d is positive.\nAnswer: d**(-3447\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -1\/30*f**4 - 3*f + 1\/75*f**6 + 0*f**2 + 0 - 1\/15*f**3 + 1\/50*f**5. What is k in j(k) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96.72372l?\nAnswer: 96723.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 4, -87, 70, -18, -7 in ascending order.\nAnswer: -87, -18, -7, -4, 4, 6, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + (6 - 8 - 4) + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83698 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 389507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 + 3*h**2 + 2*h. Let p(a) be the first derivative of 10\/3*a**3 + 0*a - 9 + 3*a**2 + 5\/2*a**4. What is 7*j(m) - 2*p(m)?\nAnswer: m**3 + m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1085 times 1222\nAnswer: -1325870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19441430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190948.\nAnswer: 2, 47737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62333432?\nAnswer: 2, 7, 491, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 19) + -19 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.118865 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1 - w**3 - w + 4*w**2 - 5 + 0*w**2. Let a be y(3). Suppose 0*n - a*n = -42. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -418 - -425. Solve 3*h = n*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/9 + (-14)\/(-8) + (-13064)\/6624?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-723)\/(-8 - (-20 + 11)). Round o to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -41. Suppose 4*w = x*q - 122, -2*w - 3*w - 153 = -3*q. Let j = w - -88. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 5. Let u be q(0). Let y = 6.1 - 6. Let o = -7 - -11. Which is the nearest to 0.2? (a) u (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 1266, 2 in decreasing order.\nAnswer: 1266, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -3. Suppose -5*w - 49 = -t*w. Suppose v + w = 4*f - 10, -4*v = -f + 26. What is the remainder when f is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48430, 48436, 48450, 48472, 48502?\nAnswer: 48540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/11 - 21510*r**3\/11 + 58696642*r**2\/11 - 4617711162*r\/11 + 9000807804\/11 = 0. What is r?\nAnswer: 2, 79, 5337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-22)\/20 + (-12)\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3))**19*(v**(-1\/3)*v)**(-31\/5))\/((v*v\/(v**(2\/7)*v))**(20\/9)\/((v*v**1)\/v)**(-13)) assuming v is positive.\nAnswer: v**(-1907\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n - 2*b + 92 = 0, 76 = 3*n + 5*b. Does 14 divide -4*(n\/(-4) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 9:42 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2400\/68)\/(-6) + 4\/(-34) + -212 + 210?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 4656 = -4599 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250072777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1187 - -1190. Sort -10, 2, z.\nAnswer: -10, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1025544 and -49\/11568.\nAnswer: 494312208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrlrrrlirrliriri. What is prob of picking 1 l and 1 r?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*d - 279*d + 911 = -3 - 454 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 114aab + -a?\nAnswer: 114aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from tjggjgggbggggg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 490896, 981769, 1472640, 1963509?\n\"Answer: -s**2 + 490876*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121761a (base 12) to base 4.\nAnswer: -31122232312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217848*i**3 + 244*i**2 - 22*i + 2?\nAnswer: 1307088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (180\/(-20))\/((-1)\/3). Suppose -7*x = -k*x + 16960. Is x a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -17*y**2. Let p(f) = -9*f. Determine z(p(d)).\nAnswer: -1377*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -101?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2280\/(-32))\/(-19))\/((-110)\/(-528))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 + k**3 - k**3 + (k**2 + k**2 + 0*k**2)*(2*k + 0 + 0) - k**3 - k**3 + 0*k**3 - 4*k + 4*k - 2 + 2*k**3.\nAnswer: 6*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjsl when four letters picked without replacement from {l: 2, s: 1, g: 2, t: 1, z: 1, j: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*(-3)\/17. Let m = 83.0941 - 85.0941. What is the nearest to m in 3, y, 2\/9, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -594 - -992. Let o = -778 + a. Is -1 - o\/(-3 + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -67. Let k = i + 82. Suppose -o + k = 4*f + 19, -4*f - 2*o + 26 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Suppose -38 = -2*l - 6. Suppose 0 = 5*w - l - 4. Put b, -5, w in decreasing order.\nAnswer: w, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2944378 and 1570?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 98 = 3*h, -82 - 54 = -4*h + 4*o. Let m = h - 21. Suppose m*u - 108 = 11*u. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + o + 18 = -2*g, 0 = -5*g + 3*o + 19. Let y be (-6)\/44*(-19)\/((-228)\/8). What is the nearest to -1 in -4, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**7\/252 - u**6\/60 + u**4\/18 + 14*u + 12. Let s(d) be the first derivative of b(d). Factor s(f).\nAnswer: -f**2*(f - 1)*(f + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 1 - 1)*(4 - 2 - 4) + (2 + 3 - 4)*(5 - 3 - 5)*(-6*h + 2*h + 3*h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 216*j**3 + 11237*j. Let n(c) = 2*c. Calculate n(y(k)).\nAnswer: 2592*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x\/((x**(-2)\/x)\/x))*x))\/x**(-4\/9)*(x\/(x**11*x))\/(x*x**(-1\/2)) assuming x is positive.\nAnswer: x**(-145\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10989361.5 - 10.885.\nAnswer: -10989372.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*i - 301*i - 493*i + 80*i**2 - 310*i + 1408*i.\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - j**2 - j)*(73*j**2 + 101*j**2 - 105*j**2 + (-3*j - 3*j + 5*j)*(2*j - 5*j + j)) to the form k*j**2 + g + w*j**3 + q*j + c*j**4 and give c.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 4*i. Suppose i = 3*p - 71. Let t = p + -16. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1772 and 5.\nAnswer: 8860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -231\/4*z**2 - 53361\/8*z - 1\/8*z**3 + 0.\nAnswer: -z*(z + 231)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-21)\/(63\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*j = -7*j, 28 = -4*o + 2*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 3\/7 (c) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -350423 not equal to -350421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 20 = l + k, 8 = 2*l + k. Suppose -2*x = a + 10, -3*x + 5*a - 6 + 17 = 0. Let r be -4*x\/l + 1617. What is r rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 83, -2, 60, -3, 3 in ascending order.\nAnswer: -3, -2, 3, 4, 60, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1591, 1846, 2347, 3154, 4327, 5926?\nAnswer: 8011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*m + 480 = -p, 0 = -5*p - 2*m + 510. What is the remainder when p is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 7. Suppose 4*r + 0 = -28. List the prime factors of h(r).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 48 = 4*i + 97, 3*u - 5*i - 74 = 0. Suppose 4 - 2 = -v - 2*a, 3*a + u = -4*v. Sort 5, v, -5, -3 in decreasing order.\nAnswer: 5, -3, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215629 and 484112?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 2, w: 5}. Give prob of picking 1 w and 1 p.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = 3*g - 9859, 3*x + g - 14806 = 0. What are the prime factors of x?\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - 6078*b + 24335. What is k(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*a = -11, -5*g + 4*a = -31 - 2. What is the second derivative of -8*j**g + 62*j - 61*j - 6*j**5 wrt j?\nAnswer: -280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, -4, 87, 0, -1\/12, -3, 0.39?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 86\/1300925?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:07 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 528 + -527.6. What is the second biggest value in a, -3, -297?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4800076.\nAnswer: 2, 239, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -377 - -322. Let c(i) = 7*i**2 - 235*i + 246. Let x(l) = -65*l**2 + 2115*l - 2215. Let o(k) = j*c(k) - 6*x(k). Factor o(u).\nAnswer: 5*(u - 1)*(u + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9024 + -108359\/12. Find the common denominator of 67\/82 and s.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:51 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 229642*n**3 - 2*n + 114866*n**3 + 114823*n**3.\nAnswer: 47*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + x + 21 = 8, -236*x = 3*q - 240*x + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/37, 4\/7, -0.2 in decreasing order.\nAnswer: 4\/7, -1\/37, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37c3c0 (base 13) in base 9?\nAnswer: 2463244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -81.463 (c) -7.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4320))\/(sqrt(96)*2 + sqrt(96)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 494256.3 months?\nAnswer: 4118.8025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2. Let n(r) = 4206*r - 307. Let z be n(13). Let x(c) = z*c + 5 - 5 - 54375*c. What is x(t(y))?\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/30 - 128\/(-60))*2\/(-8)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 w when three letters picked without replacement from ooowlolwwoolollwool?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60514 and 172733.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 + 190. What is the least common multiple of 56 and -2 - (-6 + d) - (-35 - 7)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51492 = -16*b + 1175636. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o - 1. Let h(b) = 0 + 3*b + 3 + 0*b**2 - b**2. Suppose 45 = 28*d + 73. Calculate d*h(r) - 3*z(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.129 take away 18685779?\nAnswer: -18685779.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((-28)\/4 - 155\/(-160)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7146576 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-748)\/4114 + 148*3\/22. Solve 4*s + o = 4*x, 5*s - 11 = -0*x - 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g. Let u(t) = 27*t. Calculate q(u(j)).\nAnswer: 81*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**8\/168 - 2*h**7\/105 - h**6\/60 - 8*h**2. Factor d(v).\nAnswer: -2*v**3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -3. Let r(l) = l**2 + 7*l - 32. Let v be r(4). Differentiate v + 5*j - 14 - 14 - f*j wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:59 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 5*y - 7. Let m(l) = 3*l**2 + 20*l + 28. Let h(f) = -9*j(f) - 2*m(f). Is 27 a factor of h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -16 + 6*i**2 + 12 - 16*i - 18 - 2*i**2. Let g be y(-10). Suppose 2*b - g = -72. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3758.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5 - 35\/(-10)). Suppose 5\/2*o**l + 2 - 1\/2*o**3 - 4*o = 0. What is o?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -24*x**3 - 4*x**2 - 5*x - 1. Let a(z) = -z**3 - z**2 - z. Let h(i) = -5*a(i) + m(i). Is h(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-552)\/(-132) + 2\/(-11). Let u be (-7 + 10)\/((-2)\/y). Let p be (65000\/u)\/((-5)\/(-1200)). What is p rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 44 - 18 + (-1 - 4 + 3)*(0 - 2 + 3))*(-q + 6*q - 4*q).\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.15134*-47\nAnswer: -7.11298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -0.6, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8941103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035691495 to the power of 1\/3, to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -67680.\nAnswer: -1\/33840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/147 + (2616\/126)\/(4*(-12)\/(-144)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1608.6 + 1609. Let h be (-9)\/(-6)*(-12)\/63. Which is the closest to h? (a) 0 (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 1. Suppose 0*f = 3*f - 9. What is the least common multiple of f and n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 21, 48, 97, 174, 285, 436, 633?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*i + 5, -2*j - 4*i + 3*i + 23 = 0. Solve v + j = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + -4. What is the third biggest value in j, -3\/4, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 8730000 to the nearest 100000.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 151? (a) 2\/7 (b) -1 (c) 0.6 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**3\/3 - 9*s**2\/2 + 3*s - 1. Suppose -4437*h - 27 = -4434*h. What is the units digit of y(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3, v - 22 = 2*d + 9. Let s be (-3)\/d + (-16)\/20. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -199, 0, -913 in descending order.\nAnswer: 0, -1, -199, -913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/216)\/(21\/36)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 8*k**2 - 7*k + 117. Determine x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**6\/120 + v**5\/15 - v**4\/24 + 2*v**3\/3 + 3*v**2 - 14*v. Let z(x) be the first derivative of q(x). Calculate z(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/9, 0.3, 10774 in descending order.\nAnswer: 10774, 0.3, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/((74018\/1088 - 35) + -33)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12122121 - -11?\nAnswer: 12122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 489180305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q + 256 = -c, -2271*c = q - 2272*c + 8 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 5:57 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 15*p - 4. What is the units digit of n(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 minus -615.1867532?\nAnswer: 615.1067532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by -59.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -15*i + 3. Let k be y(2). Let z be -3*(-1)\/(k\/6). Let g be 1\/3 - (-5)\/(-6). Put g, z, 2\/5 in descending order.\nAnswer: 2\/5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 - 237. Let h = t + 65. Let w be 1\/(-4 - 146\/h). Solve -w - 7 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 11, 12, 13?\n\"Answer: n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(153) - 1*sqrt(153) - sqrt(153)) + sqrt(153)))\/sqrt(9) + (1*sqrt(68)*1)\/sqrt(4).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*w - 32. Let b(g) = -g**2 + g + 4. Let x be b(0). Let s = 0 + x. Put s, -2, w in increasing order.\nAnswer: w, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 6, v: 1, u: 2}. What is prob of sequence vd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 564, 2, 17, 4, 1 in descending order.\nAnswer: 564, 108, 17, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**6\/2 + 5*v**2\/2 - 4. Find the second derivative of o(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 12. Let r be y(10). What is the units digit of (-1)\/3*r*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9286*k**2 + 23 - 2*k**3 - 2497*k**2 - 17.\nAnswer: -2*k**3 + 6789*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 12*i**2 - 15*i + 26. Let h(d) = d**3 - 32*d**2 + 194*d - 3. Let c be h(8). What is t(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-144)\/(-14) + (-2)\/7. Let v be (-2)\/x + 82\/10. Let w = 10 - v. Solve w*p - 1 = 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49805 rounded to three decimal places?\nAnswer: 0.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.695 - 20.805. Which is the third biggest value? (a) 4 (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3820, 3810, 3798, 3784, 3768, 3750?\n\"Answer: -d**2 - 7*d + 3828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, -0.04, -4, -0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 211112022 (base 3) to base 15\nAnswer: 4cee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(78) + sqrt(78) - sqrt(78)))\/(4*sqrt(6)*-1) - (sqrt(104)*-1*6 - sqrt(104))\/(sqrt(1152)*-2 + sqrt(1152)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - -22244?\nAnswer: 22312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/12)\/7*-12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658291851 a multiple of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70994*x**3 - 587*x**2 + 90250423 wrt x.\nAnswer: -212982*x**2 - 1174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5 + 2 - 3 + 2 + (-3 + 2 + 3)*(-5 + 1 + 3) + (29 + 14 + 38)*(-8 - 3 + 5))*(-3*j + 0*j - 4*j) - 6*j - 2*j + j.\nAnswer: 3409*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:49 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + 2.96. Which is the third smallest value? (a) y (b) 2\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23696 divided by 1481.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - b - 72 = 0. What is the remainder when 46 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let p(r) be the second derivative of r**4\/4 - 4*r. What is q(p(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 1. Let p be c(-1). Suppose 0*t - 5*q + 2730 = 2*t, 2*t - 2730 = 3*q. Calculate the common denominator of (-1)\/p - t\/308 and -39\/17.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:38 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -138, -307, -544, -849?\nAnswer: -1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158*f**3*z**4 - 2*f**3*z - 6*f**2 + 2*z**2 wrt z.\nAnswer: -3792*f**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cysschhsshhhhgycs. What is prob of picking 2 s?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/40 + 1 + 138\/(-690). Which is the closest to -1? (a) 24 (b) -0.15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*r**4 + 3188?\nAnswer: 132*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o + 247 + 9 = -34 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3 - 2*c - 4 + 15*c**4 - 2 to s*c**2 + d + i*c**4 + r*c**3 + v*c and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 - 9*d\/2 + 6.\nAnswer: 3*(d - 4)*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50502 + -5?\nAnswer: -50511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {g: 2, b: 1, r: 2, o: 3, j: 1, k: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2440 - -2444. Which is the closest to -19? (a) j (b) 1.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - 5. Let w = x + 29. Suppose -5*o = -2*k + 5, -2*o + w = 2*k - 0*k. What is the least common multiple of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, r: 3, c: 4}. What is prob of picking 3 r and 1 c?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -3) + -41 + 33\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-212)\/(-212)*(-3)\/15. Which is the closest to 1\/3? (a) 454\/3 (b) -0.1 (c) 3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -349, -0.01, 98\/15, 0.3.\nAnswer: -349, -0.01, 0.3, 3\/5, 98\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-9) - 2\/(-6). Let c be (-4)\/30 + (168\/(-90))\/(-14). Solve -2*y + h + 4 = c, h = v*y + 3*h - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a**2. Let w(s) = -186*s**2. Give t(w(x)).\nAnswer: -380556*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:15 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4220265 is divided by 19183.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11921 + 11918. Sort -1, -9, m, 410 in ascending order.\nAnswer: -9, m, -1, 410","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7700 is divided by 247?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) - 1*(sqrt(11) + -2))*4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -52.44 * -3.4369\nAnswer: 180.231036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 3:35 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2 + 1239*n + 1240 = 0.\nAnswer: -1, 1240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 13*k + 2. Suppose 7*x + 4 = 9*x. Let o(u) = -4*u**2 + 10*u - 17. Let n be o(x). Give j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4*w + 6165*g**3*w**3 + 561*g**2*w + 45*g**2 + 2*g*w**3 wrt g?\nAnswer: -48*g*w + 36990*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*b = -165*b + 308. Let c(a) = -10*a**3 + 11*a**2 - 6. Let z(k) = -5*k**3 + 6*k**2 - 3. Give b*z(h) - 6*c(h).\nAnswer: 5*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 4*j - 6. Suppose j*g = -2*g. Suppose u + 398 = 3*n, g*n - 3*u = -3*n + 408. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394243 divided by -7.\nAnswer: -394243\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**3 - 8*v**2 + 2*v**3 - 6*v**3 + 9*v**2. Let b(a) = 4*a**3 + a**2 - 2*a. Let n(f) = -2*b(f) + 2*g(f). Find k such that n(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3227956919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12615 is divided by 828?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + v + 1. Let g be p(-1). Let q be (-1)\/(g - (-17)\/6). Suppose 0 = -q*u - 13 + 1. Is u != -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51770 divided by 5\nAnswer: 10354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 513*x**2 - 859*x + 177304. Give p(514).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/20 - (-2)\/(-5). Let f(d) = 5*d**2 + 3*d**2 + 5*d**2 - 5*d**2 + 7*d + d**3. Let u be f(-7). Put 1, u, j in decreasing order.\nAnswer: 1, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21 and 994.\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n + 229. Let f be g(25). Suppose -4*q = -s - q + 20141, 4*s - 80532 = -f*q. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1000.3 - -1000.3. Which is the closest to 0.04? (a) 44 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3808456 at least as big as 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87 in 1\/5, -4\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 100, 0.02, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7732 is divided by 3677?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2 - 3 + 2 + 3 + (2 + 0 + 0)*(1 + 3 - 2) + 1 + 2 - 1 + 5 - 3 + 5)*(-73*t**2 + 122*t**2 + 87*t**2).\nAnswer: 2312*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35989 and 641451?\nAnswer: 2117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/(t**(2\/19)\/t)*t*t)*t)\/t)\/(t\/((t*t**(4\/13))\/t)))\/(t**14\/(t**(-2\/9)\/t)))**38 assuming t is positive.\nAnswer: t**(-83626\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 39*n + 2895. What is x(-75)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 31454*u**3 + 4*u**2 - 9*u - 12. Let k be l(-1). Let f = k - -8051949\/256. What is the common denominator of f and -9\/10?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 11*y - 1615. Suppose -5*f + y = -967. List the prime factors of f.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38317374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 11*a**3 + 14633819174*a - 14633819174*a.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1423047.79 - -1398270. Let c = 24671 + j. Let t = c + 108. Round t to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - k - 4. Let j be f(3). Suppose s - 6*s + j = 0. Suppose 0 = s*n - 31428 + 6228. What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:28 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**5\/20 - 5*l**4\/12 - 2*l**3\/3 - 5*l**2\/2 + 42*l. Suppose 0 = -r - 6 - 17. Let y = 29 + r. Determine b(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 13*f - 19. Calculate the remainder when 107 is divided by i(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 5\/235433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082 a factor of 44384076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 + 505760*d**2 + 1011460*d - 4046000 = 0. Calculate d.\nAnswer: -101150, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9425 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.9 and -24.004.\nAnswer: -189.6316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -5, 1\/67, 0.7, 5, -4\/9?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - m, 5*r = -10*m - 12 + 57 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 13*g + 17. What is a(-9)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 517 + -516. Let k(x) = 424*x**3 - 2*x**2 - x. What is the units digit of k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549, 1109, 1675, 2247?\nAnswer: 2825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 8 + 4 - 8*k)*(0 - 1 + 2)*(-6*k**2 + 6*k**2 + 6*k**3) in the form v*k + r*k**4 + h*k**3 + b*k**2 + u and give r.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52557081 - 52554734.5901. Let h = -2338.4098876 + p. Let c = 8 - h. What is c rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2377\/830 - -86\/83. Calculate the common denominator of u and -65\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**7\/420 - i**3 - 3. Let u(o) be the third derivative of r(o). Let u(d) = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 43*y**2 + 57*y - 103. Is v(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1\/3, -0.036.\nAnswer: -24, -1\/3, -0.036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 2*k**2 + 5*k + 2. Let c be u(-3). Let j(y) = 2*y**2 + 6*y + 9. Let z be j(c). Round z to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1020 + 1020 + 42*g**2 - 6*g - 2058 + 2*g with respect to g.\nAnswer: 84*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21138, -42276, -63414, -84552, -105690, -126828?\nAnswer: -147966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10662, 21323, 31984, 42645?\nAnswer: 53306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 17*x**2 - 42*x + 228. Determine p(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 43\/6 (b) 1\/8 (c) 2 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 927 - 1882. Let d = 1050 + s. Solve -5*b - 115 + d = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -798825.5 times 225\nAnswer: -179735737.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 13*m - 7. Let g be x(11). Calculate the highest common factor of g and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**19\/y**(-41\/2) assuming y is positive.\nAnswer: y**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 417, 819, 1395, 2151, 3093, 4227, 5559?\nAnswer: 7095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*x = -15, l + 3*x - 2224 + 2209 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11040, 11028, 11016, 11010, 11016, 11040, 11088?\n\"Answer: f**3 - 6*f**2 - f + 11046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -61254.773 and 345431.\nAnswer: 284176.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k\/k**(-2\/9))))\/k)**16\/(k**(8\/7)*k**(-26)) assuming k is positive.\nAnswer: k**(782\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, -1190, -5 in decreasing order.\nAnswer: 2, -5, -24, -1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/(-12)*(105\/56)\/(70\/56)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -189*u + 838. What is k(6)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (42 + 3 + -74).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, 5, 3\/554, -0.3 in ascending order.\nAnswer: -2.4, -0.3, 3\/554, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/6 - (-1374)\/36. Let x = l - 38. Suppose x = -z - 3*n + 94, z - 3*n = 98 - 10. Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) 0.2 (c) -1\/4 (d) 2\/59639 (e) 1\/6 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 7, c: 5, v: 8}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (338 + (-10 - 6))\/((-5)\/(-450)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1160 by 5.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/4)\/(18\/16). Solve -2*k = v*c + 14 - 6, -2*c = 3*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(72) - 6*2*sqrt(2)*1)*-1)**2 + 2.\nAnswer: -12*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8261948*o**2 - 50988343 wrt o?\nAnswer: -16523896*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v**2 - 130*v - 79. Calculate w(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5039*u - 5309*u - 2044*u.\nAnswer: -12392*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 - 2*p**3 - 2229329*p**2 + 566*p + 10217?\nAnswer: -12*p**2 - 12*p - 4458658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = r - 876. Let c be 2*(-1)\/1 + r. Find the common denominator of 103\/10 and (c\/16 + -4)*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 h when four letters picked without replacement from cccccymcmcchccyccyc?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 + 2*j - 5. Let y(v) = v**2 + v. Let d(h) = -2*h**2 + 2*h + 6. Let p(s) = d(s) + y(s). Let w be p(-2). Give t(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + g**4 + 0*g**4 + (-1 + 1 - 2*g)*(-7*g**3 - 4*g**3 - 21*g**3).\nAnswer: 65*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -39000000 to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1022214591 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 3*t - 1. Suppose f + 0*l + l - 5 = 0, 0 = -4*f + 3*l + 20. Let j = 5 - f. Let b = 2 - j. Calculate o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*l = -78, -p = 3*p + l - 93. Suppose 0 = -2*a + 4*x + 32, -2*x + 2 = -2*a + p. What are the prime factors of (4\/a)\/((-1)\/(-15))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 f when four letters picked without replacement from fhfhhhhh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 10*p - 5. Let h be r(-8). Suppose -234 = -h*s + 8. Let x(f) = 3*f - 33. Let g be x(11). Solve -5*u - s + 2 = g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, 0.014 in increasing order.\nAnswer: -13, -2, 0.014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 + x**2 - 10*x - 2. Let v(n) = 5*n**3 + 2*n**2 - 11*n - 4. Let o(t) = 4*q(t) - 3*v(t). Give o(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102212220122 + -201020?\nAnswer: -102220121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/5390)\/((-24)\/56)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3083 is divided by 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -336 and -10121\/30 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 2, y: 2}. Give prob of picking 1 y and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38486691.\nAnswer: 3, 17, 191, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - g + g**2 - 2)*(9*g - 6*g + 4*g)*((-3 + 0 + 13)*(2 + 1 - 4) - 4 - 1 + 4).\nAnswer: -77*g**3 + 77*g**2 - 385*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -61100 and 6?\nAnswer: -366600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*r*t**2 + c**3*t**3 - 7*c**2*h*r*t**3 + 2*c**2*h*r*t + 62*c*h*t**3 - 2*c*r*t**2 + 552*h*r wrt t?\nAnswer: 6*c**3 - 42*c**2*h*r + 372*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 14 = -201*g + 221*g, 5*q + 2*g - 4 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from rrrrrrrrrrrrrrw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 25270, 1\/6, -1\/8, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-427)\/28 + 616\/44?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 9\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011001100 + -100?\nAnswer: -10010011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521655804 to the power of 1\/2, to the nearest integer?\nAnswer: 39008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 352*j - 79378\/5.\nAnswer: 2*(j - 43)*(j + 923)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/(-22) - (-2)\/2*2. Let b(s) = s**3 - 2*s**2 - 3*s + 1. Let u = -13 + 16. Let q be b(u). Is i bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640163 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -55*r**4\/24 + 10*r**3\/3 - 15*r**2. Is a(-2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -32*s**3 - 2*s**2 - 2. Let y(t) = 3105*t**3 + 195*t**2 + 195. Calculate 585*d(o) + 6*y(o).\nAnswer: -90*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n. Let z(y) be the second derivative of 0*y**2 - 1\/40*y**5 + n*y**3 + 1\/120*y**6 - 2*y + 1\/48*y**4 + 0. Solve z(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6248421 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + 115*y**2 + 61*y - 172. Let t be m(58). Solve 4 = 3*i - 2*j, 3*i = -i - t*j - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -6. Let j = u - 25. Let m(a) = j*a + a**2 - 20*a + 16*a. Let p(s) = 2*s. Give p(m(k)).\nAnswer: 2*k**2 + 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 62 = 7*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.34056 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.6. Let v = 3.72 - 8.72. Which is the closest to 2? (a) v (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*v + 18 = 0, 2*l + 179*v - 94*v + 3 = 88*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.27415 nanometers to centimeters.\nAnswer: 0.000000227415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16612 (base 7) in base 10?\nAnswer: 4762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 18*j = 96. Let c be ((-66)\/(-2))\/(j\/224). What is c rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198827772.\nAnswer: 2, 3, 11, 13, 109, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 344079079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/3))**(-14\/5)\/(((m*m\/(m*m**(-2\/3)*m)*m)\/m)\/m**3) assuming m is positive.\nAnswer: m**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/(-7) - 9\/(-63). Put 4, -5, s in descending order.\nAnswer: s, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4463543367 rounded to 3 decimal places?\nAnswer: 0.446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14792248769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 8*j**2 + 7*j**2 - 12*j**2.\nAnswer: 3*j**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 - 33. Let d = -31 + f. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 184, 350, 516, 682, 848?\n\"Answer: 166*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -18*i + 14*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -1077133338870?\nAnswer: -1077133338869.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 83, 2810 in decreasing order.\nAnswer: 2810, 83, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/189*6 - (-74)\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - 33*c - 121. Let a(j) = -4*j**2 + 16*j + 61. Let h(o) = -11*a(o) - 6*z(o). Is h(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 - 9009*o + 2582. Let j(b) = -21*b**2 + 27026*b - 7750. Let f(v) = 28*h(v) + 8*j(v). Factor f(m).\nAnswer: 4*(m - 1287)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1242 - -10?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 12:08 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 5*w + 2*r + 218, -2*w = 2*r - 76. Suppose 43*h - 57000 = w*h. What is h rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*h + 40 = 84*h. Calculate the lowest common multiple of ((-98)\/4)\/(10\/h) and 7.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*j + 57*j + 7229 - 2150.\nAnswer: 3*j + 5079","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {a: 1, o: 1, m: 2, c: 1, z: 1, p: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 7, -0.02, 0, 0.2, -0.26 in descending order.\nAnswer: 7, 0.2, 0, -0.02, -0.05, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 20*x + 238. Let t be s(-12). Is 1\/(((-2)\/62683)\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = 3*n, -n + 2*c + 3 = c. Let l(k) = 854*k**3 - 1. Is l(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(1\/(-10)). Suppose y + 3*i = -8, -5*y = 5*i + d + 25. Which is the second biggest value? (a) y (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1541035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 97231 - 600212 - 1388810. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -11*w + 6*w. Let z be ((-4)\/(-18))\/((w\/(-555))\/2). Let g = z - 31. Which is greater: g or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50997 = -35*t + 89917. What is the smallest common multiple of 139 and t?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 16) to base 7.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 3\/4, -2, -17?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*x**3 + 91*x**2*z**3 - z**3 - 22 wrt x?\nAnswer: -6*x**2 + 182*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/120*4*54\/162.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in ninety-nine quarters of a century?\nAnswer: 2475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 2*u**2 + 2*u**2)*(-8*u**2 - u**2 + 0*u**2) - u**2 + u**4 + u**2 + (8*u - 4*u + 3*u)*(2 + 2*u**3 - 2) + u**4 - 6*u**4 - 3*u**4.\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (18 - (7 - 3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -55, 1060, 2, -1, 0.\nAnswer: -55, -6, -1, 0, 2, 3, 1060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -43. Put -88, k, 2 in descending order.\nAnswer: k, 2, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 64541631 divided by -3\nAnswer: -21513877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109190 < 8658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**5\/60 + 5*s**4\/6 + s**3\/2 - 20*s**2. Let n be v(20). Suppose 4*z - 104 = n*z. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57716*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*q + 806*q - 140392 = -972*q for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2492, 10053, 22654, 40295, 62976?\n\"Answer: 2520*m**2 + m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + -32)*((-164)\/(-574) + (-1)\/(-21)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buo when three letters picked without replacement from {b: 2, o: 1, u: 11}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35969 is divided by 2115?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 12*c + 3. Let k(j) = 11*j**2 + 35*j - 8. Calculate -6*k(p) - 17*w(p).\nAnswer: 2*p**2 - 6*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 177498288?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 54*w**2 + 45*w. Let b(l) = -l**2 - 148 - 150 + 298 - l. Determine 45*b(d) + m(d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*w**2*y - 10605*w**2 + 19*w*y + 17*w + 2 wrt w?\nAnswer: -12*y - 21210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*i + 8, 5*k + 0*i = -2*i + 24. Suppose -30 = -5*y + 130. Suppose 8 + y = k*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5938*j - 3069*j + 8888*j + 4 + 2566*j + 10345*j. Suppose 0 = 2*b + 3*b + 15. Let s be w(b). Round s to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5*v - 5 = 2*z, 3*z + v = -7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224070 is divided by 962.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -x - 4, -3*x - 5*l - 2 = -10. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 96 = -20*v. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-714) + 736\/(-10304)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -1143?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 0.5998947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*z + 3*i + 2*i, -5*i = 15. Suppose 4*c + h - z = -3*h, 23 = 5*c + 4*h. Solve 6 = c*k + 4*m + 2, 4*k = -2*m - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 + 76 = -3*a. Suppose 50*t - 51*t = -a. Let l be 1\/t*-17 + 2. What is the smallest value in l, 4, 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7\/52, -0.5, -4 in descending order.\nAnswer: 1, -7\/52, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 19 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**(3\/5))*h*(h**(-1\/3)*h*h)\/h*h\/(h\/(h\/(h**(-1)*h*h)))*h**(-11) assuming h is positive.\nAnswer: h**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*a - 7*a. Sort -21, -3, a in ascending order.\nAnswer: -21, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.16999997 + -0.17. Round a to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2560\/(-24))\/8*348\/290?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 4*l**2 - 10*l + 10. Let b be k(7). Let f = b - 19. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 14*o**2 - 114*o + 11. Let t(a) = 3*a**2 - 23*a + 2. Let q(j) = -2*p(j) + 11*t(j). Factor q(d).\nAnswer: 5*d*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2 + 2*i - 2. Let a(x) = 11*x**2 + 3*x - 3. Let z = 42 + -37. What is z*a(g) - 8*n(g)?\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 814165665 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((2 + -2*sqrt(425) - sqrt(425))**2 + -2 + (sqrt(425) + 4)**2 + -3)*6 + 3).\nAnswer: -360*sqrt(17) + 76779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 - (-68 + 85)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/80 - (-27)\/135?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -1) + 10\/5. Suppose -8*w + 9 = 4*r - 7*w, 2*r = -5*w + 27. Solve -3*h = -f*h - r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-5) - -3)\/3)\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -1\/3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -4\/7 (c) -1\/3 (d) -20 (e) -1.3 (f) 7 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 25 - 41 = 0. Let y = 3872\/2373 + -66\/113. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -142*r**7 - r**6\/6 + 332*r**3\/3 + 89. Find the third derivative of p(c) wrt c.\nAnswer: -119280*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**5 + 7*r**4 - 9*r - 7. Let w(h) = 2*h**5 + 3*h**4 - 4*h - 3. Let p(g) = 3*t(g) - 7*w(g). What is the second derivative of p(s) wrt s?\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 165, 158, 147, 132, 113, 90, 63?\n\"Answer: -2*w**2 - w + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597439667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f**2 - 17*f**2 + 47*f**2 + 24 - 16*f**2 in the form k*f**2 + c + v*f and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16699329.36 seconds?\nAnswer: 27.611325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/(-44) + 1 + (-23512)\/(-88) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.97 + -4. Let q = k + 0.13. Let v be ((-8)\/260)\/(2\/10). What is the smallest value in q, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**5\/5 - 28*q**4\/5 + 4*q**3\/5 + 28*q**2\/5 = 0?\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10)\/k**(4\/5))\/(((k\/(((k\/k**3)\/k)\/k))\/k)\/k*k\/k**(-1)) assuming k is positive.\nAnswer: k**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 0*z**2 + 4*z**2 - 3*z**2 + (z**2 - 2*z**2 + 0*z**2)*(-1 + 17 - 2) to the form s*z**2 + j*z + g and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6. Let f(k) = -1. Let u(g) = 11*f(g) + 2*o(g). Let x(l) = -25*l + 1301. Let m be x(52). Let w(a) = 3*a + 9. Calculate m*w(b) - 5*u(b).\nAnswer: 3*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.614 - 13.514. Put m, 2, 5, 2\/7 in descending order.\nAnswer: 5, 2, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3030 + 0?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 194\/4 - (2 - 28\/8). Let y = 99\/2 - w. Which is the fourth smallest value? (a) 1\/8 (b) 2 (c) y (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-20592)\/(-480))\/143)\/(2\/32)*10\/6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -1, 1, -7 in ascending order.\nAnswer: -7, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.28 (c) -0.1 (d) 40 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y**2 + 10*y + 34 - 8*y - 35 + (0*y - 3*y + 4*y)*(6*y - 4*y + 18*y) as c + u*y + z*y**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(6*5\/60). Let r be 9\/(-2)*(1 - 3). Let l = b + r. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2000013 + -2.2. Round q to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9571*t. Let d(k) = 9*k + 1. Calculate z(d(n)).\nAnswer: -86139*n - 9571","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3896585*h**5 + 2*h**4 - h**3 + 19439684*h**2 wrt h.\nAnswer: -233795100*h**2 + 48*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1997946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132.5 + 10.5. Let c = z - -74. Let s = c - 212.21. What is s rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2 and -65\/92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 234989241 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6470 - -6953.1. Let z = -483 + t. Let o = 2 - 1.4. Is z smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and -1\/63 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129491101.\nAnswer: 67, 1932703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18699887?\nAnswer: 18699887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 - 64*l**2 + 22*l - 28. Let h be f(21). Let a(d) = -d**3 - 2*d**2 + 7*d + 25. List the prime factors of a(h).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-4\/5))**(-2\/5)*(r\/(r\/r**(-18)))\/((r\/(r\/(r*r\/(r*r*r**(-14)\/r*r))*r))\/r))**(-36) assuming r is positive.\nAnswer: r**(27648\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4514\/29 or 1201?\nAnswer: -4514\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from {n: 1, m: 1, v: 1, w: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3080*v = -2*g - 3075*v + 7802, 4*g + v - 15582 = 0. What are the prime factors of g?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1889*g. Let u(r) = 4*r**2. Calculate s(u(y)).\nAnswer: -7556*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8275316 is divided by 799?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**2 + 8. Let s be ((-13)\/(-39))\/((-4)\/2 + (-294)\/(-144)). Let d(j) be the first derivative of 4*j**3\/3 - 5*j + 1. Determine s*d(r) + 5*q(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1031 divided by 114121.\nAnswer: -1031\/114121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/6 - 5*y**3\/3 + 25*y. What is the second derivative of n(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 27*d - 1 - 6*d + 34*d**2 - 35*d**2 + 18. Let r be n(20). Suppose r*t + 336 = 41*t. Does 42 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:07 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 17344464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1891, -3763, -5743, -7879, -10219?\n\"Answer: -8*m**3 - 6*m**2 - 1798*m - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let r = -70 + 1008. Let p = r + -938.3. Which is the closest to p? (a) d (b) -1\/12 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvs when three letters picked without replacement from sskvhvwkvsss.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4400) + (sqrt(484) + sqrt(484)*-3)\/sqrt(11))\/(-6*((sqrt(64) + sqrt(4))*1 - (sqrt(4)*-2 + sqrt(4))*-4)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 18*n + 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 37*i = -3*s + 99, 2*s = -2*i + 194. What is the lowest common multiple of 69 and i?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*l = 14, f - 2 = 2*l + 17. Suppose -6*j + f*j = -20. Which is the second smallest value? (a) -1 (b) j (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {k: 2, t: 5, a: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2682*b + 5054. Give w(-2).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 528454836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 19983?\nAnswer: -19986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 3948\/20) + 4\/10. Let m = -139 - f. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + -3.99. Suppose 0 = -b - 1 - 2. Let h = -3 + 2.9. What is the nearest to h in b, -1\/2, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p - 15. Let t be y(8). Suppose t*a + 2*a = 17611. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1329210212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407.7157 litres to millilitres.\nAnswer: 407715.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 31*v + 5*v + 25*v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 286 + -255.9. Let x = 12.8 - -17.2. Let t = x - u. What is the second smallest value in 3, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*v**2 + 1666*v**3 - 141*v**2.\nAnswer: 1666*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 8, -3, 1.26, -7, 14, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) 12\/13 (c) 7 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyagaayy. Give prob of picking 2 y.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80, 107, 138, 173, 212?\n\"Answer: 2*w**2 + 21*w + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 14*q - 12*q. Let s be ((-369)\/(-15))\/((-8)\/(-10)). Let y = -30 + s. Sort -0.2, y, q.\nAnswer: -0.2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -190, -673, -1650, -3295?\n\"Answer: -29*c**3 + 14*c**2 - 2*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*a - 641*a = 69 - 1794 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129.07 - -128. Let g = p - -0.642. Round g to two dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 12. Let b(t) = 3*t + 1. Let r(h) = 12*b(h) - z(h). Let a(y) = -46*y. Give r(a(l)).\nAnswer: -1564*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 287 + -146. What is the remainder when s is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -205, -5, -10, -1 in decreasing order.\nAnswer: -1, -5, -10, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12837 + 25*k**2 - 12837.\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -8*y - 7. Let j(p) be the third derivative of p**6\/12 - p**4\/12 - p**3\/6 - 2*p**2. Calculate j(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 237 = 1888. Let t = 239 + p. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 7*l - 42. Calculate m(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:31 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101808944*n**6 + 1407832*n**2 - 40?\nAnswer: -12217073280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*r**4 - 96\/11 - 14*r**2 + 20*r + 32\/11*r**3 = 0. What is r?\nAnswer: 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139619 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 784*q - 777*q + 2436. Let g = q - -351. Factor 3\/5*i**g - 6\/5*i**2 + 3\/5*i + 0.\nAnswer: 3*i*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222 + 43. Let l = -181 - r. Let i(y) = 3*y**3 - 3. Let w(x) = -x**3 - x + 1. Let v be 2\/2 + 1 + -3. Calculate l*w(p) + v*i(p).\nAnswer: -p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87788.57km in nanometers?\nAnswer: 87788570000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49419 and 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(35) + sqrt(35) + sqrt(35)))\/sqrt(7) - (2 + sqrt(40)\/(sqrt(8)*-2 + sqrt(8))).\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25\/81 + 2\/81. Let t be (-2)\/(-12) + (-9)\/54. What is the nearest to t in r, 5, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -1\/12*t**4 + 1\/6*t**3 + 0 + 1\/2*t**2 - t. Let p be i(0). What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 63, -1 in descending order.\nAnswer: 63, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 281965, -0.2, -2 in descending order.\nAnswer: 281965, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 0, -13, -32, -57, -88?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 946.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -14. Let x = 4.5 - 4.5. Which is the closest to x? (a) q (b) 2\/31 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/(-12) + (-12)\/16. Let m(n) = n**2 + 4*n - 3. List the prime factors of m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00245579563 to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 7*l - 640. Suppose -l*a - 7 = -583. Let o(x) = 14*x**2 + 2*x - 1. Let j be o(1). Calculate the highest common factor of j and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 655521 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 20 = 0, 0 = 2*v - 3*u + 7. Suppose -w + 11 = v*a - 12, 0 = 5*a - 4*w - 13. Suppose -a*d + 200 = 2*z, 4*z = -z. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 6*c**2 + 7*c - 10. Let q(d) = d**2 - 5*d + 1. Let t be q(6). Let b be i(t). What is the tens digit of (-105)\/b*(0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:31 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -127, -257, -387?\n\"Answer: -130*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68387759.\nAnswer: 11, 43, 144583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1300 * 2373\nAnswer: -3084900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(17\/2)*s)*s\/s**(-18) assuming s is positive.\nAnswer: s**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 205577 (base 9) in base 13?\nAnswer: 43825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1268 + -1265. Let i(q) = 8*q - 2. Let b(p) = 9*p - 3. Give c*i(j) - 2*b(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138 - -557\/4. Let m = 0.062 + 34.438. Let j = -35 + m. Which is the closest to -1\/4? (a) j (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3)*w**(-3))\/(((w**(-3\/2)\/w)\/w)\/(w\/(w\/w**(-1\/12)))))**6 assuming w is positive.\nAnswer: w**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27659, 55177, 82527, 109709, 136723, 163569, 190247?\n\"Answer: -84*s**2 + 27770*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 23 = -2*j - 3*j, 18 = 4*n - 2*j. Suppose -3*r - 3*d + 16 = 4, 0 = -3*r + n*d - 3. What is the greatest common divisor of 3 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.46 + -0.36. Which is the nearest to f? (a) 0.01 (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m + 0 - 13*m + 2 as z*m + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 492115 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/12 - 7*f**3\/3 + 65*f**2\/2 - 11*f - 9. What is c(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163803\/4 + -40649. Let v = 306 - x. Let m(n) = 30*n. What is the common denominator of v and m(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.646 to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 2 (c) -6672077 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 2*m + 1. Let j be x(-2). Let q = 4 + j. Let f(t) = -t**3 + 6*t**2 - 8*t + 6. What is f(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**6\/6 - 79*i**5\/5 - i**4\/2 - 953*i**3\/3 - 251. Find the third derivative of f(t) wrt t.\nAnswer: -60*t**2 - 1896*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864*n + 9 - 717*n + 1582*n + 26.\nAnswer: n + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzbw when four letters picked without replacement from wzzzzzzbbz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11*s. Let n(j) = j. Give -5*a(c) + 40*n(c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**2*b\/b**(2\/21))**(-49)\/((b\/b**(-1\/3))**35*(b*b**(-2\/3)\/b)**(-27)) assuming b is positive.\nAnswer: b**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212.23 - -212. Let m = s + 10.23. Which is the closest to m? (a) 4 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 + -1010111000111001101110?\nAnswer: -1010111000111000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 3*t**2 + 4*t - 2. Let j be n(2). Let m(a) = a**3 - 2*a + 3. Let s be m(2). Suppose -3*l + j = -s. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*k + 35 = 2*k, -3*f = -2*k - 1. Suppose 3*x - 1 - 21 = 2*o, 5*x = -12*o - 86. Solve -f = h + p, 0 = 2*h + h + x*p + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.054 - 0.06. Let d = x - 11.994. Let w = 11\/34 + 3\/17. Are d and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11019091 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -359169 - -7704.9?\nAnswer: -351464.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3692 = -5*i, -4*i - 742 = -5*i - 3*r. Does 28 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 3*i**2 - 4*i + 3. Let t(u) = u**2 - 11*u - 14. Let f be t(12). Let r be -3 + (2 + 0)\/f. Determine p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-3*r - r + r + (5 + 2 - 5)*(96*r + 460*r - 1219*r)).\nAnswer: -1329*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = 3. Let d be (q\/(-6))\/((-2)\/9). Let u be (1 - (3 - 3))*-2. Is u bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384.28689 rounded to one dp?\nAnswer: -384.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74238 by -24746.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/(-12))\/(165\/264) - (7 - 4). Factor 2\/3*x - 4\/3*x**y + 0*x**2 + 0*x**4 + 0 + 2\/3*x**5.\nAnswer: 2*x*(x - 1)**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05948 + -0.14109754.\nAnswer: -0.20057754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {n: 4, y: 4, h: 8}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*z - 4. Let b be 2*z*(-2 - 7). Calculate the greatest common divisor of 126 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15a1065 + 112?\nAnswer: -15a0a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1388464509 + -3.\nAnswer: 1388464506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b + 505b08?\nAnswer: 506087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 67 + (-7 - 28).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 423 (base 11) to base 4\nAnswer: 13331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2 - 2*m - 5*m - 4 + 5*m. Determine x(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 2:57 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*x - 21. Suppose -2*q = -x*q + 40. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 + 48*s + 61. Give w(12).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 409, 5, -1\/4, -2?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 5:34 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.9 + 23. Let u = j + 0.01. Let v = u + -0.13. What is the smallest value in -5, v, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u**2 - 5578*u**2 + 171*u**2.\nAnswer: -5433*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 + -43 - (-2 - -7)) + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -16*z**5\/5 - 5*z**2\/2 - 10. What is the second derivative of a(d) wrt d?\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11484748*o + 5086208*o + 19268837*o.\nAnswer: 35839793*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) + 191\/2. Let o = z - 256. Let r = -107 - o. What is the highest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-8 + 2) - (-2 - -12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 29. Suppose -2*y = w - 5, 4 = 2*w - y - k. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 13. Let p(a) = -10*a**2 + 7*a - 91. Let q(o) = p(o) - 7*r(o). Let f(u) = -198*u + 1. Determine q(f(x)).\nAnswer: -392040*x**2 + 3960*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*o**2 - 4*o - 484 with respect to o.\nAnswer: 32*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004692 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g - 13. Let h be c(-1). Let b be -5 - (h - 1)\/1. Suppose b = z + 9 - 15. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:55 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s - 2. Let d(j) = 5*j - 11 - 9 + 19. Let h(k) = 5*d(k) - 3*t(k). Differentiate h(g) with respect to g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-40) - (-6)\/(-10). Let z be 3\/((0 + -1)\/f). Solve -2*l = -3*r + 6, 2 = r + 4*l - z*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b = -4*f + 79*b + 30, 33 = -3*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -11 - 8 - (-2084 + 2199)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - 55. Suppose 3*i = i + m. Suppose 0 = -4*p + 1 + i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*u - 11872 - 62 = 0 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/21, 0.03, -592, 0.3, -54.3, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -7\/54*b**4 + 0*b**2 + 8\/27*b**3 - 28*b + 0 - 1\/90*b**5. Factor q(d).\nAnswer: -2*d*(d - 1)*(d + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1388 + -58. What is the highest common divisor of 70 and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -799, -800, -801?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340222188 and 593756?\nAnswer: 340222188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030521488 rounded to 6 decimal places?\nAnswer: -0.000305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, y: 4, v: 6}. Give prob of sequence vkky.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137026?\nAnswer: 2, 11, 51683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 15*k - 248. Let w be v(17). What is the highest common divisor of 875 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 238040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.131526 + -7939.9213?\nAnswer: -7941.052826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1304 * 0.3\nAnswer: 391.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - -14. Let o = s + -129\/4. Let n = 19\/10 - 12\/5. Which is the nearest to n? (a) o (b) 1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18\/5 = 1729333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((10\/(-124))\/(-5))\/((-8)\/16). Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6056 and -7\/2778?\nAnswer: 8411784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*d + 10924, -6*x = -4*x + 3*d - 10896. Suppose 14*u - x + 260 = 0. What are the prime factors of u?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -356*y + 556*y + 4800 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*m, 5*m - 20 = 65*d - 60*d. Solve -2*g = -3*h + 3*g, 0 = -h + g + d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5071 bigger than 4477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6379*d = -6364*d + 255 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z. Let m(l) be the third derivative of 1\/30*l**5 + 0 + 0*l**3 + 0*l**4 + 0*l + 9*l**2. What is m(x(b))?\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0*r**5 + 0*r**3 + 0 + r**4 + 2*r**2 + 29\/15*r**6 - 93*r. What is the third derivative of c(d) wrt d?\nAnswer: 1392*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h**3 - 3*h)*(-8*h**2 + 10*h**2 - 8*h**2) + 10*h**5 - h**5 - 24*h**4 + 24*h**4 + 26*h**5.\nAnswer: 47*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37523 and 95299.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -3 + 11*a**2 - 6*a**3 + 6*a**3 - 20*a**4 + 148 + 2*a**3 + 47. Find the third derivative of j(z) wrt z.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 4 - 10 - 4 - 6 in the form o*g + h and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*a**2 + 33*a**2 - 31*a**2)*(2 - 2 + 7*a)*(a - 3*a + a).\nAnswer: 308*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -295?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/21)\/f**(-1\/25)*(f*f*f**(-18))\/f*f**6)**46 assuming f is positive.\nAnswer: f**(-265834\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - x + x)*(4 + 0 - 2) + (-1 + 1 - 1)*(60*x - 144 + 144) to the form l + a*x and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p**3 - 2743*p - 24*p**3 - 17*p**3 + 2781*p.\nAnswer: -2*p**3 + 38*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11047, -11054, -11053, -11050, -11051?\nAnswer: -11062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (-2*sqrt(66)*2 - sqrt(66)))\/sqrt(6).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2771, 2818, 2907, 3044, 3235, 3486?\n\"Answer: h**3 + 15*h**2 - 5*h + 2760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15 and 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24 and -48.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102201211200 (base 3) to base 10.\nAnswer: 1293858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 5, 1\/3, 0.1, -4 in decreasing order.\nAnswer: 57, 5, 1\/3, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -34*u - 1. Let k(h) = -59*h - 5. Let f(b) = 65*b + 6. Let m(t) = 4*f(t) + 5*k(t). What is 6*l(g) - 5*m(g)?\nAnswer: -29*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 4. Let a be d(4). Let l(r) be the third derivative of a + 0*r + r**2 + 1\/30*r**5 + 0*r**3 - 1\/12*r**4. Let l(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h\/(h**(-3\/5)\/h)*h)\/h)\/h)*h\/((h**(-7)\/h)\/h)*h**(-2\/3)\/(h**(-1\/2)*h))**(1\/42) assuming h is positive.\nAnswer: h**(247\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4719 and 73788?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 404, 406, 408, 410?\n\"Answer: 2*o + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x + 3. Let s be z(1). Let o(d) = -d**2 - 5*d + 16. Let f be o(s). Suppose 6 = f*k - 12. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 5182234?\nAnswer: 5182215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -653*q**2 - 1 + 9 - 4 - 6 - 803*q**2 as g*q + r*q**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(72) - sqrt(34) - ((sqrt(34) - sqrt(204)\/sqrt(6)) + sqrt(34))*-5)\/(sqrt(12)\/(sqrt(96) - sqrt(6)) + sqrt(2) + (sqrt(30)\/sqrt(5))\/sqrt(3)).\nAnswer: 25*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/47? (a) 1\/2 (b) -2 (c) 10070\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -336.2 in 1, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 8*l + 400. Calculate the remainder when b(-21) is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 19*h**2 - 8*h**2 - 4*h - h + 10*h**2. Let m be i(-7). Is 2\/(-11) - m\/(-44) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2134154 - -302?\nAnswer: -2133452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -84*w - 11. Let i be d(3). Let s = i - -279. What is the remainder when 31 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8618 - 8622. Put 82, -23, k, 1 in decreasing order.\nAnswer: 82, 1, k, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/3)\/44*2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1892 divide 22615979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/7 - 543*s\/7 - 540\/7 = 0. Calculate s.\nAnswer: -180, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -151?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24726*g*h*q**3 - 1258*g*q**3 wrt h?\nAnswer: 24726*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 6*z - 6. Let c be n(4). Let f be (-18)\/6 - (c - 601). What is the tens digit of (-8)\/(-60) - f\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*((sqrt(104) - sqrt(104)*-1) + sqrt(104) - sqrt(104)) + sqrt(104))\/(sqrt(8) - sqrt(968)*1 - sqrt(8)))**2.\nAnswer: 16848\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Let x(u) = -2*u - 39. What is the smallest common multiple of x(-20) and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 733702.6l to millilitres.\nAnswer: 733702600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -148409 greater than 2378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -27527354, 5 in descending order.\nAnswer: 5, 2\/5, -27527354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233859\/11 + -21244. Which is bigger: 16 or a?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/45)\/((-3 + 4)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191 - 194. Let a be 0*(v + 48\/18). Solve x + 6 = -w, -2*x + a*x + 5*w + 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14193 and 3327?\nAnswer: 15740037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 187*f**7\/42 + 38*f**4\/3 - 558*f. Find the third derivative of o(l) wrt l.\nAnswer: 11220*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -2. Let n = u + -13. Solve n*i - w = -17, 0 = 6*i - i + w + 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 8 - 19*g**3 + 4.\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 95 = -95 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 6*i. Let c(w) = 5*w. Let g(h) = -6*c(h) - 5*r(h). Let k(l) = 9*l**2. Determine 5*g(j) + 3*k(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/60150 and -73\/150.\nAnswer: 60150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66298, -66214, -66130?\n\"Answer: 84*q - 66382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 5*p - 2. Let h = 46 + -46. Let n = -12 + h. Let f = 8 + n. Calculate q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:03 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-28726.2.\nAnswer: 11490.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -457 or -456?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**3)**36*(o**(-1\/4)*o)**(2\/7))**(-1\/51) assuming o is positive.\nAnswer: o**(-673\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1925823 weeks in microseconds?\nAnswer: 116473775040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7164257667 from -3.\nAnswer: -7164257670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:12 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99115*x + 2*x**3 - 99125*x - 99125*x + 297365*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfvv when four letters picked without replacement from fnvdfdffvv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 12*k**2 + 13*k + 7. Is 2 a factor of c(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - r - 2. Let x(t) = 20*t - 277*t**2 + 6 + 282*t**2 - 7*t - 10*t. Give 7*v(k) + 2*x(k).\nAnswer: -4*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1485 divide 100718008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12 and -61\/342?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1848\/(-133) + 6 - -8. Sort 3, k, 0.15 in descending order.\nAnswer: 3, 0.15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 - 49. Suppose -s = 4*f + 39, -3*s + x = -7*s + 4*f. Let v = -3 - s. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 227 - -205?\nAnswer: 42c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9350177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y + 3. Let d be g(-5). Calculate the remainder when (-6)\/(-39) - 2696\/d is divided by 37\/2 - 1\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 22. Let d be -4*(-2 + l\/(-16)). Which is greater: 5\/3 or d?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, m: 3, f: 3, w: 1}. What is prob of sequence wi?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1079 - -1076. What is the third biggest value in 2\/3, 6, 1\/4, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.1999972 + -8.2. What is o rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/70, -3\/5, 2\/33, 4 in descending order.\nAnswer: 4, 2\/33, 1\/70, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-63)*(-45)\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -3*v - 46*y + 42*y, 12*v - 5*y = -265 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -690, -1368, -2096, -2880, -3726, -4640, -5628, -6696?\nAnswer: -7850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbmp when four letters picked without replacement from blpbmlmlyumbml?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1149)\/(-45) + (71 - 57) - -10 - -2\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11, -4, -2\/629, -2?\nAnswer: -2\/629","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Let w be (-4)\/(-18) - (1 - 218\/234). Which is the closest to -2\/7? (a) 2 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/53 in 4, -6, 0, 2, -1785?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 47 + 34)*(-h + 0*h + 2*h)*(-2 + 3 + 0)*(-2 + 3 - 7).\nAnswer: -510*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0574025074 rounded to four decimal places?\nAnswer: -0.0574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -490.\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14171510 plus 177590?\nAnswer: -13993920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (8 - (3 + -9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 27*i + 735 = 0. Calculate the greatest common divisor of 350 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h = -55*h - 45. Let v be (-4)\/h*(-90)\/(-60). Let g = -6 + 14. Sort -3, v, g in decreasing order.\nAnswer: g, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(u**2 - 3*u**2 + 3*u**2) + (4*u**2 - 3*u + 3*u)*(0 + 2 - 1) + 0*u**2 + 0*u**2 + 2*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 0, -4*l + 3*l + d + 3 = 0. Sort 0, -111, l in decreasing order.\nAnswer: l, 0, -111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 + 3*c - 5*c + 3 + 0*c. Let i be u(2). Let f = i + -8. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -2*f + 9*l + 29, 5*l = 2*f - 17. Suppose -5*d + 7707 = f*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 43*f + 3. Let j be i(2). Let r = 92 - j. Solve r*c + 2*y + 19 = 8*c, 15 = 5*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -665*a - 63. Let w be m(-5). What is the first derivative of -50*i - 3298 - 45*i + w wrt i?\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, b: 2, g: 2, w: 1}. What is prob of picking 2 u, 1 w, and 1 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 5*c + 2. Let g be h(-5). Suppose -4*r = -b - 2, -2 = 2*b - 5*r + 2. Let n = 2 - b. Sort 1, n, g in increasing order.\nAnswer: 1, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 2*h**2 + 2*h + 3. Suppose -x = -2*i + 4*x - 4, 3*i - 4*x = 8. Suppose 0*d + 4*d = -i. What is the units digit of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 + 2*x**5 + 11*x**5 + 5 + 39*x wrt x?\nAnswer: 260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8749849, -17499713, -26249595, -34999495, -43749413, -52499349, -61249303?\nAnswer: -69999275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/10? (a) -32 (b) -2 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-3 - -4)*-2. Which is the smallest value? (a) -3 (b) n (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from aooao?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 0*j**3 + 2*j + 7*j**2 + 8 - j**2 + j**3. Let x be z(-6). Let t = 10 - x. Solve 0 = 2*a + 5*d - 32 + t, 5*a + d = 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320111 is divided by 713.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(7\/4)*b)**(2\/107))**44 assuming b is positive.\nAnswer: b**(242\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/308 and 73\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87373206 to the power of 1\/2, to the nearest integer?\nAnswer: 9347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802 divided by -1802?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x. Let t(w) = 3 + 1 - 2*w - 39*w - 27*w - 5. Determine h(t(i)).\nAnswer: 204*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -11*h**4\/24 + 10*h**2 - 6*h. Let g(c) be the first derivative of i(c). Let m(u) = -4*u**2. What is m(g(b))?\nAnswer: -484*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.8 - -12. Let w = x - 0.2. What is the nearest to 2\/5 in w, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (5 + (-49 - -14))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 6*f - 2*f)*(28 + 2 - 8 - 4*f).\nAnswer: 24*f**2 - 132*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o. Suppose 5 = -8*f + 9*f. Let m(r) = -r + 5. Let g(p) = p - 4. Let h(j) = f*g(j) + 4*m(j). What is h(c(s))?\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 124*k**2 + 1497*k - 1620.\nAnswer: -(k - 135)*(k - 1)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 8*o**2 - o - 8. Let p be u(-8). Let w = p + 4. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**4*l - 3*a**3*l + 5*a**3*n - 2*a**2*l + 2*a*l - 2*l - 36*n wrt a.\nAnswer: 96*a*l - 18*l + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -3\/4 (c) -3\/52 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*u = 11, 5*u = -q + 3*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 7. Let h be c(-5). Solve -h*g - 8 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 5, -62, 4669 in descending order.\nAnswer: 4669, 5, -62, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 166 - 13210464?\nAnswer: -13210276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 10.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 2. Let u be o(3). Let p be (84 + 0)*(-68)\/u. Suppose -p = -3*d - 120. What is the highest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 30. Solve f + s = 6*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-1.1196656094\nAnswer: -0.9196656094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1232 divided by 22.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-12) - 21\/(-12). Is x less than or equal to -12\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.428 - 11.428. Which is the biggest value? (a) -3\/14 (b) -0.03 (c) 1\/9 (d) k (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -5*g - 4*k, 589*k - 20 = 2*g + 1180*k - 593*k for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(208) + 4 + (sqrt(208)*-1 + -3)**2.\nAnswer: 28*sqrt(13) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 138, 125, 86, 9, -118, -307, -570, -919?\n\"Answer: -2*b**3 - b**2 + 4*b + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 46*k + 780 = 0. Solve 3*f - 4*q + 4 = 0, k = -5*f - 2*q + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssqs when four letters picked without replacement from sssssyysyysyyllsqsyy?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, -4, -2103 in decreasing order.\nAnswer: 5, 4, 2, -4, -2103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -38 + -83 + 128 - (1 - -45)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/29 + 13\/261. What is the third biggest value in a, -1\/2, -5, 14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*p**2 + 37*p**3 + 45*p**2 + 39*p**2.\nAnswer: 37*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:35 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4349*q = 4364*q - 420. Solve -7*m + 14*m + q = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 0, 4*i - 58*y - 6440 = -57*y. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1164217 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 1. Let r be n(-4). Let u be ((-2)\/(-5))\/(r\/(-30)). Let w = -39 + 821\/21. What is the biggest value in w, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + 2*y**3 - 3*y**3 + 9907*y**3 + 6518 - 6518 + (3*y**2 - y**2 - 3*y**2)*(0 + 0 - 2*y).\nAnswer: 9911*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61856863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 - 17*h + 7. Calculate the least common multiple of 45 and x(8).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 3, 8, 17, 30, 47?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1849733015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:37 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3370*d + 3332*d - 152. Suppose -3 - 1 = -4*l. Suppose -3 = 5*g - 3*z - 1, 4*g + 2 = 2*z. Sort g, d, l, 0.\nAnswer: d, g, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001101101 - -10101000?\nAnswer: -1101111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.68 + -60. Let q = v - -6.32. Which is the fourth biggest value? (a) -2\/9 (b) 1\/34 (c) q (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 75*h**5 + 1380*h**4 + 8391*h**3 + 17718*h**2 + 3480*h - 4800 = 0.\nAnswer: -8, -5, -4\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0151364649 to 4 decimal places.\nAnswer: -0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 54. Calculate the least common multiple of 27 and r.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -3*g + 8*g. Calculate the highest common divisor of 26 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4772310*q. Let t(y) = 3*y. Calculate t(d(x)).\nAnswer: -14316930*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 - -44. Let i = 143 - b. Is -26 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j + 363. Let t(q) = -7*q**2. Calculate t(a(d)).\nAnswer: -112*d**2 + 20328*d - 922383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 21*s**5 - 303*s**4 - 567*s**3 + 591*s**2 + 546*s - 288 = 0.\nAnswer: -2, -1, 3\/7, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32203\/4 - 8051. Let n be 1 + 14\/(-4) + 3. What is the nearest to n in -0.4, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(110) + sqrt(110)*-1)\/sqrt(10) + -1 + sqrt(704))**2 + -2 + 3 + 4.\nAnswer: -703 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*h - 74 - 173 = -75. Solve q - 9 = -5*y - 20, 3*q = -h*y - 20 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.98 in -0.02, 0.2, -753\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -20, -3, 162 in ascending order.\nAnswer: -20, -3, -0.1, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 24. Let t be j(-10). Let c = -102 - -557. Suppose -7*h = -t - c. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 21 = -n + h, n - 24 = 2*h. Let y be (3 - 0) + n\/(-18). Sort y, -1, 0 in ascending order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 6, o: 2, q: 1, b: 2, v: 6}. Give prob of picking 1 v, 1 q, and 1 b.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 215*i**2 + i - 1. Let n(d) = -2*d**3 + 3*d + 2. Let g be n(-1). Is u(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**2 - 7*j + 1. Determine q(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(1\/12)*o)*o)\/o)\/o**1)**(-48)\/(o**4*o**(3\/4)\/o*o*o)**(-1\/3) assuming o is positive.\nAnswer: o**(647\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 * 1025.69.\nAnswer: -2564.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*u + 22 = 2*m, -12 = 2*m - 4*u. Suppose -m*a + 2*a = 0. Let d(i) = -5*i - 2*i + a*i + 5*i. Let h(j) = 2*j. Determine h(d(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/9486266 and -8\/5.\nAnswer: 47431330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 147456128 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8) + -1 - 43\/(-172)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.46 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*d + 3*t, 0 = -d - 14*t + 9*t + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:32 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/10 - 5123*c**2\/10 + 657703*c\/5 + 660264\/5 = 0. What is c?\nAnswer: -5368, -1, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1331 or 1327?\nAnswer: 1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 9) to base 7.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = t + 5, 0*t - 3*k = 5*t + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6307 is divided by 380?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.15442686 and 0.6?\nAnswer: -0.092656116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -12. Let o = 14 + y. Calculate the highest common divisor of o and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {k: 6, z: 4, q: 2, r: 1, x: 3, c: 4}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnzppppzzpzzppp. What is prob of picking 1 n and 1 p?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 498608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*m**4 - 317*m?\nAnswer: -1428*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 544387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -l. Find the common denominator of -149\/6 and 6 - l - (-91)\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 302*b + 2628. What is m(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22445, 44827, 67185, 89519?\nAnswer: 111829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 0 + 0)*(-16 - 12 + 23) + 0*c + 0*c + 2*c to the form u + z*c and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oon when three letters picked without replacement from {n: 2, b: 4, o: 5}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*a + 292, 4*a - 8*h + 5*h = 386. Solve 136*c - 266 = a*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.5, 7, -16, 5\/3, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -2*w + 142. Let x(j) = -j**2 - 21*j + 25. Let a be x(w). Let k(c) = 19 + 6 - 2*c - a. Let l(v) = -6*v**2 + 2. What is l(k(y))?\nAnswer: -24*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 5:17 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3465)\/(-133) + -26 + (-126)\/228?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v**3 - 1529070*v**2 + 39207*v = 0 for v.\nAnswer: -13069, 0, 1\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.33 minus -147.51114?\nAnswer: 207.84114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723*l = 717*l + 6. Let h be (-2 - l) + 4 - (4 - 7). Solve -h*z + 24 = -a, 0 = 5*z - a + 5*a - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*10\/(-30)*(-4)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036 = 67*f - 304 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 47 - 34 + 3*j. Let t be o(-11). Solve -25 = 5*x, -t*x - 3*x = -5*d + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -531462, -1062894, -1594326, -2125758, -2657190?\n\"Answer: -531432*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 7*p**2 - 8*p + 4. Let t be i(8). Suppose f - t*f + 20 = 5*r, 2*f = -5*r + 15. Do r and 1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**3 - 1. Let g be f(-1). Suppose 12 = -4*i, i = -g*p - i + 24. What is the smallest common multiple of (-1)\/4 - (-89)\/4 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-4)\/(104\/30). Let n = -0.068 + 5.168. Let y = n + -0.1. Put b, -2, y in descending order.\nAnswer: y, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -26*m - 150, -4*i + 1790 - 1831 = 5*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130077 is divided by 1612.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12*i - 106. Let k be x(9). Solve 31 = 5*c - k*b, 5*c = 10*c - b - 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 62. Let t be m(-12). Solve -4*j = -t*n - 2, 0 = -3*n + n - 4*j - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 k, and 1 p when four letters picked without replacement from ozbkospzspos?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, 50, 67?\n\"Answer: 17*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9160\/3*c - 3453*c**2 - 2032\/3 - 27*c**3.\nAnswer: -(c + 127)*(9*c + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6604 - 0.3958. What is v rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12)*1)*-3)**2 + -4.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w - 43 - 12*w + 80 - 36.\nAnswer: -39*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 8:49 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254688 by 42.\nAnswer: -6064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6058595l to millilitres.\nAnswer: 605.8595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, s: 1}. Give prob of sequence hhs.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*p - 10, -p = -2*f + 2*p + 17. Suppose 2*u = f*h + 400, -h + 136 = u - 52. What are the prime factors of (-1)\/((-4)\/u) - 3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525 is divided by 1389?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 164208, 328422, 492636?\n\"Answer: 164214*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2186 + 3784. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -38. Let y be (-8)\/j - 2\/(-5). Is y <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.192, -127, -2.\nAnswer: -127, -2, 0.192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1791 + -2)*36\/9. Suppose 31*m - y - 7352 = 0. Calculate the highest common factor of 36 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23\/23*(684 - -1) is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997960735?\nAnswer: 5, 71, 73, 97, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17401 - 17400.7. Let o = -8.6 + 9. Which is the fourth smallest value? (a) -3\/7 (b) o (c) -11\/5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000210101220 (base 3) to base 15.\nAnswer: -ac149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40755 - 21931398.6?\nAnswer: -21972153.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) - 96\/(-60). Solve t*q + 2*j = -6, 0 = 3*q + j - 1 + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7119 and -7118 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*g = -316*g + 72 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35152*y**5\/11 + 6760*y**4 - 43420*y**3\/11 + 4370*y**2\/11 - 160*y\/11 + 2\/11 = 0.\nAnswer: 1\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3\/5, -3\/2, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 158\/14 - 4\/14. Let x(t) = -t**2 - 5*t + 1. Let b be x(-5). Let w = h - b. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2708154, 10832405, 24372834, 43329447, 67702250, 97491249, 132696450?\nAnswer: 173317859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*p*x - 78*p + 5*x + 3392 wrt p?\nAnswer: 57*x - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512871.\nAnswer: 887, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*u = 49612 - 45166 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46 - 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 267.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h = -36*h - 5*i + 51, 0 = -4*h + 4*i - 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 5*f + 585. Let w = f - 54. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -3\/8 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-18)*(-57)\/76?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Suppose d = -n - 2*f, -1 = 5*n + 2*f + 9. Let z(q) = -2*q**2 - 4*q + 1. Let a(v) = -2*v**2 - 4*v. Let k(j) = -4*a(j) + 3*z(j). What is k(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 0.71397657943.\nAnswer: -1.28602342057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 3*y**4\/4 + y**3 - 3*y**2 + 30. Factor m(p).\nAnswer: 3*p*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 26. Let i be t(-11). Let c = 3.613 - 3.52. Put c, i, 3\/7 in increasing order.\nAnswer: i, c, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -193 and -42.90558.\nAnswer: 8280.77694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (0 - 0)) + 320 + -307.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 4*d - 4. Let u be b(6). Let g(q) = -3*q + 0*q - 3*q - u - q**2 - q. Determine g(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 13, 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12415\/3 in 0.5, -5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173067?\nAnswer: 3, 57689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 4*t - 2526 = -22*b, -4*b + 5064 = -4*t. What is the greatest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 5*u**2 + u + 7. Let w be t(-7). Let o = -141 + w. Let s = -30 - o. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 205 = -177. Let w = -152 + 611\/4. Solve -w*z - z**4 + 1\/2 - 15\/4*z**3 - m*z**2 = 0 for z.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -22*u - 35. List the prime factors of b(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**3 - 20*h**3 + 3*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (160 + 2*n - 124 + 0*n)*((1 + 1 - 3)*(-1 + 3 + 0) + 2 + 1 + 5) to the form z*n + x and give x.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3193\/297 - 115\/11. What is the common denominator of m and 107\/1170?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*r - 146*r + 5 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.004 + 21.004. Let x = -1394.66 - -1416. Let t = x - g. Round t to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -1.238.\nAnswer: 30.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1317123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6466387140?\nAnswer: 2, 3, 5, 37, 107881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1206, 1961, 2716, 3471, 4226?\n\"Answer: 755*j + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0)*((2*t + 3*t - 3*t)*(3 - 3 + 6) + 7*t + 15 - 15) as m + o*t and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -53212 (base 6) in base 10?\nAnswer: -7208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1770\/435 + (-2 - 2)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 13\/12*s**4 - 1\/2*s**2 + 14*s + 13\/3*s**3 + 4. What is the second derivative of j(h) wrt h?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 + 79*m**2 + 233*m - 55. Give x(29).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*t = t + 64, -3*j + 184 = -t. Let g be j\/4 + 18\/(-12). Let z = g - 13. Sort -0.03, -0.3, z in decreasing order.\nAnswer: z, -0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + -41. Let c = 73.000154 + l. Round c to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497 is divided by 59?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45)\/(-20) - (-2)\/(-8). Let w(q) = 3*q**2 - 3*q. Let v be w(2). Let s = a + v. Solve 0*l - 4*l - s = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6\/5 (b) -9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 - -188. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**8\/20160 + x**7\/10080 - x**6\/1440 + x**5\/20 - 3*x**2. Let u(h) be the third derivative of c(h). Factor u(d).\nAnswer: (d + 1)*(2*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**9\/168 + u**5\/60 + u**2. What is the third derivative of c(h) wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-30)*45\/27. Let r(u) = -u**2 + 10*u - 12. Let o be r(8). Let z be (51\/(-15) + o)\/3. Put a, 1, z in descending order.\nAnswer: 1, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*t**2 + 2*t**2 + 12*t**2 - 12*t - 11*t**2 wrt t?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.20514ml in litres?\nAnswer: 0.00820514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 38702*c**3 + 386937*c**2 - 657772*c + 309536.\nAnswer: (c - 38692)*(c - 8)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Let g be (1 - -1) + (4 - 3). Suppose -g*v = -2*i + 10, -3*v = 2*v + 10. What is the biggest value in j, -5\/3, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4 + 18182*v**3 - 236640*v**2 + 582616*v - 364160 = 0. What is v?\nAnswer: -9104, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 3*g**2 + 6*g - 3. Let u = 3586 - 3577. Calculate the remainder when h(-6) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*6\/(-6)*20\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 47870 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/((-2)\/(8\/(-4)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s - 2*s**2 - 3*s - 2 + 5 - 4 as j + d*s + k*s**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8, -5*f + j = 6*j + 2430. Let o = f + 201. Let w = -202 - o. List the prime factors of w.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-220)\/16 + 3\/(-12). Let f = j + 13. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:14 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(640))\/(sqrt(288)*3) + (sqrt(240)\/sqrt(192))\/(-1*sqrt(196) - sqrt(4) - sqrt(4) - sqrt(4)).\nAnswer: 311*sqrt(5)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -89*z + 7. Let s(x) = -619*x. Give s(w(n)).\nAnswer: 55091*n - 4333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((14 - 13)\/11398) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 49. Suppose 0 = 5*r + 2*s - 0*s - 85, 4*r - 4*s = i. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -956 - -3?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:28 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1406, -122865 in decreasing order.\nAnswer: 1406, 2, -122865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/7 + (-40)\/(-14). Suppose -m - z*r - 6 = 0, -m - m + r + 2 = 0. Suppose 0 = 3*a - 4*a + 2. What is the nearest to a in -0.06, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 132.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 0, -6*q - 32 = 4*u - 8*q for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*l - a, 0 = 5*l + a - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/1080 - 791*g**5\/540 - 2167*g**4\/3 + 2904*g**3 + g**2 + 597*g. Factor w(u).\nAnswer: -(u - 1)*(u + 396)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47595907 is divided by 988.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l*l**(2\/5)\/l))*l)**(-2\/51)\/(l**(2\/5))**(17\/2) assuming l is positive.\nAnswer: l**(-871\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -54. Let q = h + -20. What is the derivative of 3 + 0*g**q + g**3 - g**3 - 5*g**4 wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 13\/4 - (-23 - -85 - 67)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -97723, -195454, -293185, -390916, -488647?\n\"Answer: -97731*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 41*a\/3 - 148\/3.\nAnswer: -(a + 4)*(a + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14225 = -266*g - 110*g - 212*g + 19*g for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*f = -9590 - 4126 - 3860 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 658815164 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1812 = 4*g - 5*m, -1412 = -3*g + 3*m - 56. What is the highest common factor of g and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/3166 and 37\/6.\nAnswer: 9498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i**3 - 50*i**2 + 10*i + 131. Determine k(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 2\/15*y**6 + 0*y**3 + 0*y**4 + 0 - 8*y**2 + 8\/35*y**7 - 1\/12*y**8 + 0*y + 0*y**5. What is h in w(h) = 0?\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 + 890. List the prime factors of b.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -13. Let s be (-8)\/g*(-3)\/2. Suppose 3*c - 4*u - 22 = 0, -4*u + 3 = c + s. Calculate the greatest common divisor of 30 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 242 + (-6 + 2)*6\/12. Let s be (-48)\/v + 2\/10*16. Let j(t) = -9*t + 4. Give j(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 770c - 1d3?\nAnswer: 7519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*w - 17*w**5 - 30*w)*(-2 + 3 + 0).\nAnswer: -17*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*l - 3*j + 43, 134 = 5*l - 3*j. List the prime factors of 207\/(-1*(-4)\/l).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**5 - 5364*h**4 - 2413719*h**3 - 14289858*h**2.\nAnswer: -3*h**2*(h + 6)*(h + 891)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 908220540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*x - 78, 4*d - x = -47 - 52. Let q = 37 + d. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*q**2 - 19*q - 3.\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + -63 - (5 + 7 + -27)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101.1 + -101. Let x = 13 + -9. Suppose -3*q = -o - 4, -4*o - o = -5*q. Which is the closest to 1? (a) l (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x - 6*x - 3*x**2 - 11 - 5*x + 5*x**2. List the prime factors of b(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001010010 (base 2) to base 14.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*o**2 + 73 - 73.\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25495690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 5. Suppose -w + 3*u = w + 17, -22 = 4*w - 2*u. Let v be n(w). Let m = 4 + v. Solve -m*k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 4 = -18*w, 2*v - 8 = 2*w. Put v, -13, 4, -4, 3 in decreasing order.\nAnswer: 4, 3, v, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -2, -21 in ascending order.\nAnswer: -21, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -406, 7 in increasing order.\nAnswer: -406, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 2) + (9 - 12) + -1 + -40.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 42 = -9*u. Solve 0 = -3*s + u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -17*d**3 - 5*d**2 + 5*d + 5. Let z(h) = -h**3 - h**2 + h + 1. Determine -r(v) + 5*z(v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 1, g: 1}. Give prob of picking 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/4)*p*p**(-8))\/((p*p\/p**(-2\/7))\/p)**(-18\/13))\/((p\/(p*(p\/p**(-2\/9))\/p))**(1\/18)\/(p**3\/(p\/(p\/(p**(2\/21)*p))))) assuming p is positive.\nAnswer: p**(-90005\/29484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.7 + -11. Let x be 114\/(-24) - (8 + -13). Which is the nearest to p? (a) -4\/3 (b) x (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 20*s + 32. Calculate the remainder when 26 is divided by k(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*g + 11*g - 70 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h - 4*h - 4*h + (-3 + 4*h + 3)*(-3 + 4 - 3).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13710809 divided by -7.\nAnswer: 1958687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-18)\/120*(-1216)\/(-23256)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -20 + (3 - 5 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, -148, -1290, -3436, -6922, -12084, -19258?\nAnswer: -28780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6780.8 - 6781. What is the fourth smallest value in 3, -0.02, 4\/5, w, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 50. Let j be (-3 - -3 - 1)*r. Suppose 5*i = z - 20 - 5, -j*z + 145 = -5*i. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 5*b**2 + 4*b - 8. Let w be a(-6). Suppose -w*l + 33 + 127 = 0. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9084 less than 9084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 4*i + 12*i)*(-9 + 9 - 7*i) + (3*i**2 - 4 + i + 4)*(5 + 11 - 8).\nAnswer: -53*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*p - 4*t - t, -12 = 4*t. Suppose -2*i + p*i - 18 = 0. Let o = -4 + i. Which is bigger: 0.2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136593 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29732902 and 6641.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 7*c + 86 = 83 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**6\/150 + 3*x**5\/100 + x**4\/60 - x**3\/10 - x**2\/5 - 5*x. Factor v(c).\nAnswer: (c - 1)*(c + 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3779054*l**3*u**3 - 6*l**2*u**3 - 631193*l*u**3 + 2*u**2 wrt l.\nAnswer: -22674324*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212649 and 87673?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 2\/3313 (c) -1 (d) -12\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {q: 1, b: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11114515921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75079 and -1054.\nAnswer: -79133266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5*u + 8 = 0, 0 = c + 4*u - 8 + 17 - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -565339, -564693, -563609, -562081, -560103, -557669, -554773, -551409?\nAnswer: -547571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5109*n - 6493.\nAnswer: 5109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 3. Let p(u) = 5*u**2 + 21*u + 72. Let r(b) = -p(b) - 6*v(b). Suppose 2*o = -1 + 23. Calculate the remainder when r(-3) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46 - 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4) + -5 + 4)**2*-6.\nAnswer: -174 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214 - -212. Which is the nearest to r? (a) -3 (b) 20 (c) 10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*(153846\/12243)\/222.\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 0.05, 5, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7945.5*-139.7.\nAnswer: 1109986.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -1 - 7\/((-56)\/456) and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 - -222. Let i(v) = 5*v**2 + 2*v + 14. What is the hundreds digit of i(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59347?\nAnswer: 17, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6 - -2)\/(-8))\/(2\/4). Suppose -3*g + 13 = d. Let l(z) = -4*z - 8*z - g + 17*z - 7*z. Give l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4902109709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -96141 minus 8?\nAnswer: -96149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*r = -331*r - 57 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -5*d**2\/2 - 17*d - 14. Let j be c(-4). Suppose 2*m + 726 = j*k, 2*k - 3*m - 729 = -k. Does 30 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5943973757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -409*y. Let p(q) = 647*q. Determine l(p(t)).\nAnswer: -264623*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = y - 866, u = y - 569 - 272. What is the lowest common multiple of 846 and y?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - -92. Let c = -128 + h. Solve 2*q = -4*s - c, 3*q = 2*s + 3 + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**3\/3 + 3*o**2 + 6*o + 64. Give x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 0*f + 24 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 20, 18*s - 17*s = -4*n - 16. What is the second smallest value in 0.4, -1\/5, -42, s, -2\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -3332?\nAnswer: -3326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/5 + 7*c**3\/6 - 5*c**2 - c. Let v(g) be the first derivative of x(g). Let m(i) = i. Give v(m(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + -3 + 1\/(2\/(-6)). Let k(t) = 137*t - 13. Let c be k(q). Let f = c + -271. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1153755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 25, 14 in ascending order.\nAnswer: 1, 2, 14, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110618*t**3*w**2 - 3*t**2*w**2 + 92*t**2*w - 5*t*w**2 - w**2 wrt t.\nAnswer: 663708*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/611, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + 16.\nAnswer: 16.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7.02 (b) 1418 (c) -3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60367\/112 + -539. Let n = s + -213\/1232. Which is the third biggest value? (a) -0.1 (b) -2 (c) -2\/13 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 815c95?\nAnswer: 815c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*j + 36, -4*y - 5*j = -501 + 497 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w. Let j(q) = -8*q - 3. Let b be j(-3). Suppose -b = -4*n - 5. Let k(p) = p**2 - 12 + n + 8. Give k(h(v)).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -9.2705?\nAnswer: -4.2705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from fzffzfmkffm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5*6\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 7*d**5\/270 + 5*d**4\/108 - 2*d**3\/27 - 16*d**2. Factor h(j).\nAnswer: 2*(j + 1)*(7*j - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558017858?\nAnswer: 2, 23, 2089, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 0.5, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m - 8*m + 3*d - 30, -3*d + 35 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1259 - -878. Let z = x - -380. What is the closest to -0.05 in -4, 6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, 1613, 8, -2, 5 in decreasing order.\nAnswer: 1613, 8, 5, 4, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 269\/1661 + 3\/151. Which is the closest to 3\/2? (a) 47 (b) 2\/15 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 3*g**2 + 6*g - 6. Let v be k(-4). Let r = -19 - v. Sort 4, 2\/9, -2\/7, r in ascending order.\nAnswer: r, -2\/7, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5 - 320128*z**4 + 17284669*z**3 - 215408290*z**2 - 483951104*z - 250938016 = 0.\nAnswer: -1, 28, 320074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 + 0.99. Which is the nearest to h? (a) -0.1 (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10030 + 2615. Calculate the remainder when n is divided by 4211.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) - (-1)\/(-4). Suppose c*p + p = 51. What is the lowest common multiple of 5 and p\/7 - 6\/21?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/35)\/((-15)\/(-1775)). Suppose -3*c - 3*q = 66, -c + 3*c + 46 = -q. Let l = m - c. What is the third smallest value in 2\/3, l, -3\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/77 and -40\/1393.\nAnswer: 15323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + 590\/15. Let h = l + -40. Solve 5*z - 16 + 1 = h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-30)*87\/(-29).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let u be 4\/(-6)*p\/(-4). Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 2*w)*(1 + 3 - 1)*(-9 + 11 + 9) as z*w + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81 - 70) + (1 - (-6 + 16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 + 285. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*(-2 + 5 + -5). Let y be (264\/20)\/(6\/20). Let n = s + y. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(1\/3))\/k)**(1\/7)\/(k*k**(1\/2)*k*k\/(k**0*k)) assuming k is positive.\nAnswer: k**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241 - -2210?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -23. Let q = d + -16. Sort q, -0.3, -1\/4 in decreasing order.\nAnswer: q, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 16*s**2 - 15*s + 11. Let i be t(-15). Suppose i - 41 = -5*q. What is the remainder when 11 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10*t**2. Let y be -26*(1 + 0\/(-3)). Let v(w) = 4*w + 3. Let i(s) = 17*s + 13. Let b(o) = y*v(o) + 6*i(o). Determine z(b(a)).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7101 + -6712. Which is the nearest to w? (a) -0.4 (b) 1 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 973863489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 10658*y**5 - 418728*y**4 + 5629360*y**3 - 23820800*y**2 - 70380000*y + 578000000 = 0.\nAnswer: -4, 10, 850\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:01 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {o: 4, r: 1, a: 2, y: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 742.522124 - 937.7225905. Let z = w + 195.2. Round z to five decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25731322 and 724.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 794*z**2 + 905*z**2 - 360*z**2 + 1037*z**2.\nAnswer: 2376*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1244*l + 22. Let s(h) = -249*h + 4. What is 2*c(j) - 11*s(j)?\nAnswer: 251*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91743311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1452, -4917, -10694, -18783?\n\"Answer: -1156*n**2 + 3*n - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -361406.4 rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c*c\/((((c\/(c\/(c**(-11\/4)*c)))\/c*c)\/c)\/c))\/c*c*c**(-26)*c**(-4)*c*c**(-23\/3) assuming c is positive.\nAnswer: c**(-359\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 1038500*z + 13*z**2 + 1038500*z - 13*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 - 1)*(1 + 6 - 3) + 3 - 1 + 1)*(6*r - 3*r + 0*r) to the form b*r + u and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(18) + sqrt(18) + 2*sqrt(18)))\/(sqrt(54)\/((sqrt(9)*-2 - sqrt(9)) + sqrt(9))))**2 + -5.\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 35. Solve 2*s = -3*v + 15, u*v - 14 = -3*s + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 56?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27146 - 0.049\nAnswer: 27145.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 31*n**2 - 1828*n - 55. Determine f(61).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 + -194. Let u = 3 + -8. Which is the nearest to r? (a) -2\/11 (b) u (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.9? (a) -7058 (b) -1\/6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1738 or -1739?\nAnswer: -1738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3669\/11 (b) -7 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -1)**2 + -1 - -3*(sqrt(275) + sqrt(275) + -1)**2) + (-6*sqrt(132)*3)\/(sqrt(12) + sqrt(768)*-3).\nAnswer: -1546*sqrt(11)\/23 + 3479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254 divided by -2.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, a: 3, e: 2, h: 2, d: 2, j: 2}. What is prob of picking 1 j, 2 e, and 1 h?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37.46*-5.\nAnswer: 187.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -5.7. Let g be (-4*(-6)\/16)\/((-36)\/(-8)). Which is the closest to g? (a) s (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from wtxwwtmxxxtxmtt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((2*sqrt(171) + -2)*-3)**2 + -2 + -3*(-5 + sqrt(19) + -1)).\nAnswer: -657*sqrt(19) + 18624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239.8 - 289. Let j = 47.2 + z. Let v be 28\/(-6) + (-6)\/(-9). Sort j, v, -0.4, 1.\nAnswer: v, j, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126271963?\nAnswer: 113, 1117451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.0315 - -19615611?\nAnswer: 19615600.9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -10, -30, -60?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 15. Suppose 3*u - 5*u + w = 0. Calculate the smallest common multiple of u and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 1 + 5.\nAnswer: 6 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)\/v)**(3\/14)*v**(3\/8)\/v**(-1\/28) assuming v is positive.\nAnswer: v**(43\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -4*q**6 + 25*q**3\/3 - 29. Find the third derivative of z(p) wrt p.\nAnswer: -1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 184*g**3 + g**2 - 12*g + 11. Let b be j(1). Let o be ((-9)\/1)\/((-1380)\/b). Factor -1\/5*y + 1\/5*y**2 - o.\nAnswer: (y - 3)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxx. What is prob of picking 3 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-24)*((-15)\/(-50))\/1. Let c be 0 - 7\/(-3) - (-165 + 167). What is the closest to c in 0, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2. Let o = -95 - -97. Let m(w) be the third derivative of 1\/6*w**4 + 0*w + 0 + o*w**2 + 0*w**3. Calculate q(m(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161673, -161625, -161527, -161367, -161133?\nAnswer: -160813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8766552 tonnes?\nAnswer: 876655200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/13 or 1979144?\nAnswer: 1979144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*q**6 + 6*q**6 + 11*q**2 - 18*q**2 wrt q.\nAnswer: -1560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -387686*l**4 - 21667*l**2 + l + 6.\nAnswer: -9304464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1597*q + 661*q - 29*q**4 + 12*q**3 - 4*q**5 - 16836*q wrt q.\nAnswer: -80*q**3 - 348*q**2 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + z**2)*(2 - 1 + 2)*(-6*z + 5*z + 0*z + (-3 + 4 - 2)*(-4*z + 3*z - z))*(-2 + 4 + 2) as a*z + u*z**3 + b + c*z**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 279.4 + -279. Let j = 70.883 + 0.117. Let y = -78 + j. Put 2, u, y in ascending order.\nAnswer: y, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*30\/(-9)*(-14)\/(532\/19).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1494, -1438, -1344, -1212?\n\"Answer: 19*q**2 - q - 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 23 - 10*v + 21660*v**2 - 10853*v**2 - 10808*v**2. Determine r(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -4, 37, 33, 7, -2 in descending order.\nAnswer: 37, 33, 7, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20682 or 20683?\nAnswer: 20683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1293*j + 49. Let i(y) = -1293*y + 56. Determine 6*i(s) - 7*w(s).\nAnswer: 1293*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32842 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 154644683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070733333 rounded to 3 decimal places?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.3 - 13. Let x = -1\/2074 + -1035\/4148. What is the smallest value in m, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umwgwumwumtmgwo. What is prob of picking 1 u and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 + 10 = 0. Let b = 198 + -166. Let n(d) = -4*d + 128. Let x be n(b). Put x, i, 23 in decreasing order.\nAnswer: 23, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -11*a. Sort a, -1, -0.1, 2\/9.\nAnswer: -1, -0.1, a, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24192 divided by 144\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*3*-6 + 5 + -1 + (sqrt(847) - (0 + sqrt(847)*-2)**2) + -1.\nAnswer: -3385 - 187*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*p**2*r**2 + 4*p*r**2 + 16*p wrt p.\nAnswer: -116*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-7*(-7)\/49). Let h(q) be the second derivative of q**4\/12 + 7*q**3\/6 - 9*q**2 + q. What is the tens digit of h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -126, -514, -1158, -2058?\n\"Answer: -128*c**2 - 4*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -106, -3 in decreasing order.\nAnswer: 0, -3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -45.\nAnswer: -45.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 340500454 (base 6) in base 4?\nAnswer: 113221012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 103*u**3 + 14*u**2 - 55*u + 203. What is the units digit of k(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(30\/(-12))*441\/6. Calculate the highest common factor of 63 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/266*((-4070)\/370 + 614\/(-4)).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 1. Let q(b) = -2. Let p(g) = -2*q(g) - 2*y(g). Let c be p(-5). Let n(k) = k**2 + k - 5. Is n(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 33*x. Let p(k) = -6*k + 296*k + 214*k - 75*k. Let v(r) = -66*o(r) + 5*p(r). Let u(j) = 2*j. Calculate v(u(l)).\nAnswer: -66*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 881574 to the power of 1\/2, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28831936 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120631*a**3 - 178986*a**2 wrt a?\nAnswer: 723786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00627 to 4 decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -12. Let c be (-7 - -1)*-1*z\/(-6). Solve c*t - n = 6*t + 21, 2*t + n + 13 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o**2 + 5. Let x be n(0). Suppose 3*k = -2*t + 8, x*k + 5*t + 0 = 10. Find the first derivative of -4 + 4 + 0*f**2 - 4*f**2 + k wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 625535853 or 625535854?\nAnswer: 625535853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 15*k - 31. Let n be x(8). Let o = -22 + n. Suppose 4*i + 3 = 7, -5*u + 11 = i. Solve -5 = -u*t - o*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from xjjfffjxgf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -7 + (-2 - -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33.72 and -96.\nAnswer: -3237.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -18. Let u = -13 - -17. Suppose u*v = 14 + 2. Which is the smallest value? (a) v (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 * 3942.8\nAnswer: 161654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386978686?\nAnswer: 2, 193489343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23913695419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-10)\/(-3))\/(1\/219). Let x = a + 398. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**5\/60 + q**4\/8 + 2*q**3\/3 + q**2. Let x(m) be the first derivative of h(m). What is the first derivative of x(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000077848 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {b: 4, m: 1, t: 1, n: 2, o: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2075*t. Let u(w) = -17*w**2 + 7*w + 224. Let f(n) = -9*n**2 + 4*n + 128. Let l(m) = 7*f(m) - 4*u(m). Determine l(s(q)).\nAnswer: 21528125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 75*c**4 - 2135*c**3 + 13500*c**2 - 15660*c - 6800 = 0?\nAnswer: -1\/3, 2, 34\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -288181.\nAnswer: -4\/288181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178 - -182. Solve 0 = -2*o - 5*f + 11, -3*o - d*f + 0 = -6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3*f**2\/2 - 31. Let y(p) = -18*p. Calculate y(k(z)).\nAnswer: -54*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.6040554 rounded to one decimal place?\nAnswer: 61.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-8))\/5)\/((-915)\/(-223260))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1724 + -2387?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195989.\nAnswer: 37, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-338 - -329 - (-20 + 2)\/3). Let -24\/5*g + z*g**2 - 2\/5*g**3 - 144\/5 = 0. Calculate g.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645, 894, 1373, 2196, 3477, 5330, 7869?\nAnswer: 11208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 5*s**2 + 81*s + 236. Give x(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.784 and 152011.\nAnswer: 152019.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 2, k: 1}. What is prob of sequence bk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 - 237 - (-12 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - 23\/105. Let w = p + -2\/5. Let g be ((-6)\/40)\/((-1)\/5). Which is the nearest to -0.3? (a) g (b) 1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -38. Suppose t = 3*r + 174. Let f = r - -63. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 + 416)*(-1 - -2). Let a(n) = -123*n - 4. Let w be a(-5). Let d = v - w. What is d rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*q + 5*g = -29, 0 = 4*g + 20. What is s in 48*s**2 - s**4 - 12*s - 63*s**3 + 22*s**4 + 0*s**q + 6*s**4 = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -710.7 times 0.2\nAnswer: -142.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113*d**2 + 29*d + 28*d - 56*d + (-3*d + 0*d + 2*d)*(d + d - 3*d).\nAnswer: 114*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 53 - 101. Let b be (n\/18)\/((-30)\/135). Let s(k) = -k**2 - 5*k + 3. Let c be s(-5). Solve c*o = 4*m - 6, 5*o - b = 3*m - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 234.5 in 3\/4, -3, -7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5210 or 5208?\nAnswer: 5208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3092782.93 rounded to the nearest 10000?\nAnswer: 3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -3\/11 (c) 2\/3 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 15. What is the remainder when 42 is divided by y(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66541\/123 + 541. Are q and 5\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**16*i))*i)\/(i\/i**(3\/8)) assuming i is positive.\nAnswer: i**(139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -2 - (-1*sqrt(39)\/sqrt(3) + sqrt(13)))*3)**2 + -1.\nAnswer: -108*sqrt(13) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*a = 157*a + 109*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q - 3672 = -31392. What is the smallest common multiple of 1848 and q?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-8\/3))\/v**(2\/5) assuming v is positive.\nAnswer: v**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**7\/70 - 13*x**5\/20 + 4*x**4\/3 + 6*x**2 - 18. What is the second derivative of s(w) wrt w?\nAnswer: -36*w**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1587100.\nAnswer: 2, 5, 59, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8638406*-2\nAnswer: 17276812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4 - 5\/4*z**4 - 5\/4*z - 5\/2*z**2 - 1\/4*z**5 - 5\/2*z**3.\nAnswer: -(z + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 4400438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146728840.\nAnswer: 2, 5, 3668221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/60 + 7*j**4\/24 + 7*j**3\/6 - j**2. Let o be b(7). Let k = o + 51. What is the remainder when k is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 - 45964*z**2\/5 - 528402069*z\/5 - 1055885058.\nAnswer: -(z + 10)*(z + 22977)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258b (base 14) in base 6?\nAnswer: -544211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:23 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0, -0.0225?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05703 + 0.05703. What is the third smallest value in -1, -5\/13, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*q + 6, u - 4*q = 2 - 14. Let o be 3 - (-2)\/4*u. Suppose 0*c = 3*c + 3*f, -o*f = 0. Solve -5*m - 3*d + 25 = c, 2*d = 4*m - 2*d - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 1. Let u(s) = 5*s + 2. Suppose -217 = -61*p + 30*p. What is p*o(z) - 2*u(z)?\nAnswer: 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307, -1201, -2691, -4777?\nAnswer: -7459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3 - 5721*n**2 - 45939*n - 40215 = 0. What is n?\nAnswer: -7, -1, 1915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 7) in base 5?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = 14*x - 56 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -42*d**2. Let h(a) be the third derivative of a**5\/30 + 132*a**2. What is h(r(l))?\nAnswer: 3528*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + (-5*(sqrt(1584) - (sqrt(1584) + -2)) - sqrt(1584)))*-3)**2*2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -0.3249084\nAnswer: 0.0249084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 - 3 + 3)*(2 + 1 - 5) + (0*n + 2*n - n)*(0 + 0 + 2 + (4 + 1 - 2)*(-31 - 25 + 13))*(0 + 0 - 12*n) to the form y*n**2 + o*n + p and give y.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 244*z + 8727. What is y(-36)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 1. Suppose 3*r - 4*r = 0. Suppose 4*v = -4, 14 = -2*s - 2*v - r*v. Let g be 4\/s + 5\/3. Determine n(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:29 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193.65 + -2.75. Let i = g - 191. Which is the nearest to i? (a) -2 (b) -0.3 (c) -2\/9 (d) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 13*n**2 - 15*n + 1. Let g be (1 - 7)\/((-2)\/(-4)). Is z(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynjy when four letters picked without replacement from ujyljznn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24044426*a*r**3 + 5*a*r - 4*r**6 + 23548242*r**2 wrt r?\nAnswer: -144266556*a - 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 1. Let w(v) = -11*v - 16. Let y(g) = 5*g + 7. Let x(n) = -6*w(n) - 13*y(n). Suppose 0*h - 4 = 4*h. What is h*x(b) + 4*k(b)?\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3156?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m*m\/m**6)\/(m*m\/m**(2\/7)*m*m\/(m*(m\/(m*m**6))\/m)*m*m*m))\/((m**(-1))**46\/(m**3*m*m**0\/m*m)) assuming m is positive.\nAnswer: m**(254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1455*o - 11163. Does 2 divide s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2915.3 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5259185?\nAnswer: 5, 191, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6135063373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(204)*4*-3 + sqrt(204) + 3*sqrt(204)*1)\/(sqrt(132)\/sqrt(176) + (sqrt(192) + (2*sqrt(192) - sqrt(192)) + sqrt(192) - sqrt(192))).\nAnswer: -32*sqrt(17)\/33 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - 2 - (3 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5 + 11196*o**4 + 156164*o**3 + 568356*o**2 + 601560*o = 0.\nAnswer: -2785, -9, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3753, -3768, -3797, -3846, -3921?\n\"Answer: -w**3 - w**2 - 5*w - 3746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 20 = 5*c + 7*p, -28 = -5*c - 3*p. Suppose 0 = 3*s + s - c. Suppose s*k = 6*k - 20. Solve k*l - 9 = 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4731 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 12) to base 13.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 12*q**2 + 184*q - 1008. Give p(6).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/186 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -970, -1941, -2912, -3883, -4854, -5825?\nAnswer: -6796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*i + 194*i - 354*i to the form s + v*i and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 81.274m?\nAnswer: 81274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q*x**3 + 277*q*x**2 + 6858*q + x**4 wrt x?\nAnswer: 6*q*x**2 + 554*q*x + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -309007\/20 - -15445. Calculate the common denominator of s and 55\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305337 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1484881 is divided by 742434?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 11*t - 9*t + 3*t**3 + 23 - 22 - 3*t**4 + 3*t**2 as z*t**4 + r*t + p*t**2 + l*t**3 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7116 - 44.1984. Let p = 45 + h. What is the nearest to 1 in p, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 9*g**2 - 9*g - 12. Let c = -14 - -6. Let j be o(c). Find the common denominator of 1\/14 and j\/(-6) + 118\/(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147.83 + 44.83. Put -0.6, -0.4, p in ascending order.\nAnswer: p, -0.6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(23 + 3710\/(-161))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - b**2 + 2*b + (3*b - 3*b + b)*(-2 - b + 2) + 8*b**2 - 9*b**2 + 8*b**2 + 3*b**2 + b**2 - 5*b**2 in the form d*b**2 + q + m*b and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(1\/((-1)\/(-4)))*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1083 divide 10730253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 668 = 4*s + 157, j = -5*s + 646. Calculate the remainder when s is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7011, -14023, -21035, -28047, -35059, -42071?\n\"Answer: -7012*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y + 1. Let k = 1024 - 1444. Let g = 426 + k. Let c(w) = -6*w**2 + 3*w + 2. Give g*a(b) - 2*c(b).\nAnswer: 6*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330 a factor of 38116470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 1\/120*r**6 + 6*r + 0*r**4 + 0 - 2*r**2 + 2\/3*r**3 - 1\/20*r**5. Factor l(t).\nAnswer: (t - 2)**3*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013028 to five decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 u when four letters picked without replacement from {u: 7, z: 9}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -73. Which is the smallest value? (a) 0.32 (b) 10 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*u**2 - 3*u + 9 - 99*u**2 - 2 + u - 2*u**3 to the form a + z*u + j*u**3 + n*u**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 222631 and -0.45.\nAnswer: -100183.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**3*n**2 - 54*a**3 - a*n**2 - 4518*n**2 with respect to a.\nAnswer: -9*a**2*n**2 - 162*a**2 - n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146402 divided by -142?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 203\/28 - (-2)\/(-8). Solve 8 = -5*i - c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3731*u**6 - 12*u**5 + u**2 - 53*u + 377.\nAnswer: 447720*u**3 - 720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151692 divided by -4?\nAnswer: -37923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 24*p - 10. Calculate i(-23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848 divided by -11?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-148))\/(2\/48*(-4)\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.07, -2, 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 - 277 + 478 - 10*d**2 + 5*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00750563 to 4 dps.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 0.5, -1, 0.3, -180.7, 0 in increasing order.\nAnswer: -180.7, -1, -0.03, 0, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*r + 229 - 1379, 5*r = -2*c + 736. Calculate the smallest common multiple of 486 and c.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - p + 0*p)*(-13 + 13 - 7*p) - 116 + 116 + 29*p**2 + 2 + p**2 - 2 in the form k*p + c + q*p**2 and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1151238968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 61\/2. Let o = 2 + 3. Suppose -10 = -0*s - o*s. Which is the third biggest value? (a) s (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000002259 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -19. Suppose 3*i - 8*i + 15 = j. Suppose 4*q = q + 4*y + 15, -3*q + 2*y + 21 = 0. Calculate the remainder when q is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2869604284 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 1945*w - 1952*w + 93*w + 339*w in the form o*w + p + v*w**2 and give o.\nAnswer: -3465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 342167126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*o = -11430 + 3216, -8232 = -4*u + 4*o. Let t be -3*(u\/(-12) - 1). Let y = t + -254. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22919855 rounded to 3 decimal places?\nAnswer: -0.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2006 = 445*h + 1999 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(2\/3)*m*m**(-3))\/(m**(1\/4))**(-23\/3)*((m*m\/(m\/(m*m\/(m\/m**(-1\/19))*m*m)))\/((m**(4\/3)\/m*m*m)\/m))**(3\/19) assuming m is positive.\nAnswer: m**(2401\/1444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -29912 and -29715 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 + 158*t + 126)*(0 + t + 0)*(4*t + 0*t - 2*t).\nAnswer: 316*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14243.5 or 8?\nAnswer: -14243.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33463 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905*o + 1814*o - 905*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002715464251 rounded to seven decimal places?\nAnswer: 0.0027155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g - 1. What is r(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*j = -109, -3*z + j - 3*j = -83. Suppose 2*i - 2*k - 37 - z = 0, -14 = -i - 4*k. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Let h(n) = 19*n**2 + 15*n - 5. Let k = -110 - -112. Let l(u) = -9*u**2 - 8*u + 2. Let q(s) = k*h(s) + 5*l(s). Determine q(o(b)).\nAnswer: -28*b**4 - 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 6*b + 8. Let t be v(7). Let m = 0 - t. Let d = -91\/132 - 2\/33. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*h = -8, 21*r - 23*r - 20 = -41*h + 32*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/(572\/(-8544)) + 5. Let n = 189 + p. What is the third smallest value in 2\/7, -5, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15818 is divided by 222.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*o - 7*o - 14*o - 4*o + 11*o**2 in the form b*o**2 + i*o + w and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**17\/w**(-1\/27) assuming w is positive.\nAnswer: w**(460\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 c when four letters picked without replacement from {l: 3, o: 3, c: 3, q: 2, x: 3}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:03 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-4) - (-5)\/20. Let b = 23 + -19. Calculate the greatest common factor of b and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = 4*h - 79, 4*h + 2*q = 66. Solve -3*k + h = 5*u, 5*k = -6*u + u + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19708865.7 to the nearest ten thousand.\nAnswer: -19710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50*(9\/(-6))\/(-3). Let d = 44 - k. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1)\/j*j*j)\/j)**49*((j**0\/j)\/j)**25 assuming j is positive.\nAnswer: j**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 187836*o - 187838*o. Let 5*h**o + 7\/3*h**3 + 3*h + 1\/3*h**4 + 0 = 0. Calculate h.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*a = -5, -6*a + a + 17 = c. Factor 6*r**4 - 8*r**c - 209*r + 209*r - 2*r**3.\nAnswer: 2*r**2*(r + 1)*(3*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 4 (c) 3 (d) 0 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 5, -4\/65, -7, 18?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -71 - 1 - -61?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 256*j**3 - 740*j**2 + 488*j.\nAnswer: -4*j*(j - 61)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13 from -0.026069275226.\nAnswer: -13.026069275226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/4 + 69*h**4\/2 + 131*h**3 - 410*h**2 - 1056*h + 2144 = 0.\nAnswer: -134, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*d, -5*a - d = -1 + 21. Let u(w) = -w**3 - 7*w**2 + w + 7. Give u(a).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*(-1 + 9\/(-5)). Suppose -z - 4*w - s = -4*z, -w = 3. Let p be 29 - 31 - (-1)\/(1 - 0). Sort z, p, 2 in ascending order.\nAnswer: p, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7. Suppose -4*g + l*g = -28. Solve g = -3*o - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n**4 + 38*n**2 + 126 wrt n?\nAnswer: 12*n**3 + 76*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -4295.7.\nAnswer: 429.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-14)\/(-15)))\/(52\/146016*162)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 5, 385?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133130 (base 4) to base 3.\nAnswer: -2202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1113, 0.0561, -2.5 in descending order.\nAnswer: 1113, 0.0561, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + 3*t**5 + 4*t**5 + (-3*t**3 - 4 + 4)*(-2*t**2 + 7*t**2 - 3*t**2) + 209*t**5 + 123*t**5 - 123*t**5.\nAnswer: 207*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680 = 3*t + 2*v, -3*v + 412 = 2*t - 43. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1100 and 1.04.\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367267 is divided by 22935?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 5. Let h = -4.9 + -0.1. Let i = s - h. Which is the third biggest value? (a) i (b) 5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4330 and 2?\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34157 is divided by 5691?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698725950?\nAnswer: 2, 3, 5, 13, 19, 18859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340 and 50.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -3b?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3744 - -3745. What is the least common multiple of l and -1*-2*1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 3*r - 14*r + r**2 in the form w*r**2 + k + f*r and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124012 + 0?\nAnswer: -124012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 - -145. Differentiate 5*y**o + 26 - 58 - 12 wrt y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1622932, -1622590, -1622248, -1621906?\n\"Answer: 342*d - 1623274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -7. Suppose -146 + z = -3*f. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*h + 14 = 0, 4*h - 29 = -4*q + 15. Solve -q = 2*o + 5*g, 0*o - 2*o + 12 = -5*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1470 - 296*r**2 - 1470)*(-6*r - 2*r + 0*r) as l + i*r + v*r**2 + j*r**3 and give j.\nAnswer: 2368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52391 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 - 4. Let d(m) be the second derivative of 2*m**3\/3 - 581*m. Determine l(d(q)).\nAnswer: -64*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 4*k. Let t be h(5). Suppose 3 = t*w - 4*w. Solve 0 + w = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 9646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53904, 107805, 161712, 215625, 269544, 323469, 377400?\nAnswer: 431337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(0 + 0 + 2*w**2) + 10*w**2 - 2*w**2 - 2*w**2 to the form o + j*w + u*w**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.173 minus 0.193350634966?\nAnswer: -0.366350634966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -46163160 divided by -765?\nAnswer: 60344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - 16. Suppose 36 + 4 = 5*c. Suppose -u - c = -2*k, 5*u + 3*k = -2*k + 35. Sort 3, b, u in ascending order.\nAnswer: u, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-4))\/(-25*(-60)\/(-3000)) - (-66 - 0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15458.000012799 + 15458. What is i rounded to 7 dps?\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 4927?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 4*v**2 - 6*v + 14. Suppose -232*p = -243*p + 44. Determine w(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1148300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*o = 30 + 5, -y - 3*o = -47. What are the prime factors of y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxeeeeeee. What is prob of picking 4 e?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -m - 37, -5*w + 2*m - 22 = 191. Let j(y) = -y**2 - 73. Let f be j(0). Let s = w - f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81679.58 days in seconds?\nAnswer: 7057115712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468 and 13.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -503 and 7.\nAnswer: -3521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327920079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -1 - 1235990\/(-70) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 5. Let i(j) = -2*j**2 - 9. Let t(d) = d**3 - 2*d**2 - d - 4. Let m be t(3). Let f be m\/(-1) + 1\/(-1). What is f*i(x) + 5*r(x)?\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*y)*(2*y - y + 0*y)*(-3 + 2 - 4)*(-11 + 0*y - y + 7).\nAnswer: -10*y**3 - 40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:40 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151851, -607336, -1366477, -2429274, -3795727, -5465836?\nAnswer: -7439601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 3*n**3 - 5*n**3)*(-4*n + 2*n + n) + 3*n**4 - 4*n**4 + 4*n**4 + (-4 + 0 - 5)*(2*n**4 - n**4 - 2*n**4).\nAnswer: 13*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 6:41 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44716493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/623 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 16*m. Let x(w) be the second derivative of w**4\/3 + 81*w. Give x(l(d)).\nAnswer: 1024*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 12948\/(-676) + (-23)\/(-234).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3072 + 33794\/11. Put j, -0.1, 1\/18, 1 in decreasing order.\nAnswer: 1, j, 1\/18, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-3)\/12*5\/(255\/(-272))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71095 and 127971?\nAnswer: 639855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -1\/12*l**4 + 0 + 1\/2*l**2 - 3*l + 1\/6*l**3. Let n = 11 + -8. Give q(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84.5 - 131. Let y = t - -25.3. What is y rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (4 - (9 + -4)) - (545 + -532)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*q - 17, 2*t + 2*q + 2*q = 38. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.336464711 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 899*s**2 - 873*s**2 - 8*s**6 + 92*s**6 wrt s.\nAnswer: 10080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) - ((-4252)\/308 - -14)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1380928 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -3*t - 24. Suppose -4*x = -t*x. Suppose 4*q - 1 = -r - q, -r + 5*q + 31 = x. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 5*j - 5*j + (2*j - j + 0*j)*(4 - 1 - 4) + (-3 + 4 - 3)*(5*j + j - 3*j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 12:22 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -h + 5*l, 2*l + 8 = -2*h. Let t be h\/6*1*-6. Suppose -2*o = t*o, -r - o = -5. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59*d**3*g**2*q**2 + 2*d**3*g*q**2 - 19*d**3*g*q - 11*g**2*q**2 - g*q - q**2 wrt g.\nAnswer: 118*d**3*q**2 - 22*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krvu when four letters picked without replacement from {k: 1, u: 1, g: 6, v: 5, h: 3, r: 4}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -415 - -403 - (0 - 22)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c + 2. Let l(v) = -418 + 206 + 7*v + 210. What is -5*l(f) - 6*n(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + ((sqrt(1216) + 5*(sqrt(1216) + 2 + sqrt(1216) + sqrt(1216)) + sqrt(1216) - (sqrt(1216)*2 + sqrt(1216))*-5) + -1)**2 + -3).\nAnswer: 18432*sqrt(19) + 4981036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -148810 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -29662*t + 177968. Determine b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44881, -89506, -134131?\n\"Answer: -44625*u - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4\/3 - 195669724*g**3\/3 - 1063517824247640*g**2 - 5780507233610309612400*g - 5780506170092550588000.\nAnswer: -4*(g + 1)*(g + 16305810)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46893 is divided by 1094?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.02 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 1:24 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + (329 - (-45)\/(-9)). Solve h = 312 - z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 4:42 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n*r**3 - 7*n*r - 898*n - 9*r**3 wrt r?\nAnswer: 6*n*r**2 - 7*n - 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022 + 1022201?\nAnswer: 1011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*s = -245*s - 22. Let w(d) = 2*d - 6. Let j(v) = 4*v - 11. Give s*w(f) - 6*j(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11025114413 - 4?\nAnswer: 11025114405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.256937 to two dps.\nAnswer: 41.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {r: 3, a: 1, w: 2, c: 4, f: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 126\/56*16\/(-3). Let i be 0 + 3 - a\/(-2). Let f(c) be the second derivative of c**3\/2 + c**2 - c. Give f(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-40)\/25)*(-12)\/5. Let f be 1*91 + (-3 - (-36)\/s). Let d = 112 - f. Calculate the remainder when 63 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -15*m + 136. What is r(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.4191 (b) -14 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*k - 0*y - 188, 0 = -3*k - y + 290. Calculate the greatest common divisor of 56 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, -2\/7, -5, 3.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p + 228*p + 21480 - 1376 = -169*p for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 2\/29, 0.3, 2?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from qpjppntnpnqnznn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:52 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22360, 44742, 67146, 89572?\nAnswer: 112020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 10, -0.19, -19\/4, -2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Suppose -w + 2 + 7 = c. What is the highest common factor of w and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 + -4. Let p = m + 2. Let j = p + 3.6. What is the third biggest value in -5, -0.4, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.91 - -0.09. Let n = -9 + 7. Which is the closest to 0.1? (a) n (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -0.019.\nAnswer: 0.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * -206957.\nAnswer: 28973.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 4. Let x be j(-2). What is the second derivative of o + 8*o**2 - x*o**2 - 2*o**3 wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961459009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnqkkcl. Give prob of sequence ck.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168206544 by 14017212.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 43*u**7\/70 - 139*u**5\/60 + u**4\/24 - 7*u**2 - 4. Find the third derivative of w(d) wrt d.\nAnswer: 3096*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -18, -5, -96, -2, 2 in ascending order.\nAnswer: -96, -18, -11, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d + 6*d + d)*(4 + 2 - 5)*(-90 - 455 - 1958) in the form p + i*d and give i.\nAnswer: -2503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.680552733 to 3 dps.\nAnswer: 1.681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlqq when four letters picked without replacement from {q: 3, l: 7, h: 3}.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51364449 greater than or equal to 51364445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*x + 3*x. Let i = 7 + -9. Is (-14)\/(-3)*x\/i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117)*5*4*4)\/(sqrt(225)*-1 + sqrt(441)*-2))**2.\nAnswer: 83200\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 33908 - 33920 = 4*g, -5*g - 4*r = 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -3 (c) -6 (d) -0.06196 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 4*d + 3. Let v be c(-4). Let p(s) = -s + 2*s + v*s**2 + 2 + 7*s - 2*s. Is p(-4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -16 - -6) + (0 - -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-2 - -4 - 6). Suppose -s*u + 0*u + 24 = 0. Suppose -4*j + 0*z = 2*z + u, 2*z + 10 = 0. What is the highest common divisor of 5 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 2. Let r be j(-4). Let b = r + 0. What is the second derivative of 0*a**b + 0*a**2 - 2*a + a**2 wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1200)\/90 + 14)*(-3)\/23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13)*1 + -1))**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/42*(((-4070)\/(-30))\/(-11) + 12).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2dbe1c - 4?\nAnswer: -2dbe21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001819866 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12*(44\/6 - 4). Suppose 7*n + 12 = h. What is the third derivative of 5*y**2 - 3*y**2 - 2*y**n - y**2 wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, 3, 1, -25534 in descending order.\nAnswer: 3, 2, 1, -2, -3, -25534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*c**6*n**2 - c**6*n - 4*c**2 + 23*n**2 wrt c.\nAnswer: -5280*c**3*n**2 - 120*c**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -1\/12*u**4 + u + 0 - 1\/6*u**3 + u**2. Find q such that j(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11995210, 11995212, 11995214, 11995216, 11995218, 11995220?\n\"Answer: 2*x + 11995208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**3 - 2*o**2 + o. Suppose 0*m + 5*m = -25. Let l be (-2)\/(-1*(m + 3)). Let r(i) = -i + 1. Give l*j(t) - 4*r(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6*a + 16. Suppose -m - m = 3*p + 1357, -3*m - 2036 = a*p. Calculate the common denominator of -41\/2 and (-4)\/10 + (-5287)\/m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 141?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2 + 2*i - 3. Let x be s(-3). Let o be (231\/(-44))\/(3\/8). Let p = o - x. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -215\/2, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - l = -16. Let n be 13 - (-5)\/(5\/l). What is the highest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/11, 73 in descending order.\nAnswer: 73, -1\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*g. Suppose -4*z = -2*f - g, -3*f + 19 = 2*z + 3*z. Find k such that 4 - 4*k + 10*k - 2 - 2*k**4 - 2*k**z - 6*k**3 + 2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 3*c. Let w be f(4). Solve -w = -3*d - 2*r, 0*d + 2*r = 3*d + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 1842448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 306 + -75. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:08 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 26, 45, 64, 83, 102?\n\"Answer: 19*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -37, -17, 11, 47?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138156.\nAnswer: 2, 3, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4924*w - 3 = -4927*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958 is divided by 932?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2245, -9295, -16345, -23395?\nAnswer: -30445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 2*u)*(34*u**2 - 10*u**2 + 38*u**2 + 7*u**2).\nAnswer: 138*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*o = -58*o - 819 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**7*l))\/l**(-9)*l**(-3)*l*l**(1\/7)*l)\/((l*l\/(l\/(l**(-2\/13)*l)))**(-1\/19))**(-25\/4) assuming l is positive.\nAnswer: l**(926\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 515481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3767 - -3754. Sort -7, -1, 7, s.\nAnswer: s, -7, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5029694237+-0.3\nAnswer: -5029694237.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*(-522)\/(-609)*((-952)\/2416)\/(-17).\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 247, 243, 237, 229, 219, 207?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + 3 + -8 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (7 - 23 - (-25 + 30))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3033\/(-6)*12\/(-18). What is the second derivative of -72*b**5 + p*b - 97*b + 296*b**5 + 29*b**5 wrt b?\nAnswer: 5060*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5350, 43.1, 5\/3 in decreasing order.\nAnswer: 5350, 43.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-987)\/(-14) - -6)*(-8)\/(-18). Solve -38 = 18*o + k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107 and 84209.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*y + 2 - 1 = 0, -3*y = -3. Let q be (1 - 3)*(-5)\/2. Let h = u - q. Let t(s) = -s**3 - 7*s**2 - 5*s + 5. What is t(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 11 = -5*m, 5*m + 2 + 14 = g. Suppose -c = j - 13, -4*j = c + 4*c - 70. Let v be (-3 + 0)*m\/c. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7575721, -7575761, -7575801, -7575841, -7575881?\nAnswer: -7575921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 5. Let i be a(4). Put i, 1, 5 in ascending order.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 7*c**2 + 78. Let t(m) = -18*m**2. Calculate y(t(h)).\nAnswer: -252*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901.\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481568 divided by -671?\nAnswer: -2208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + -1 + (-1 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 - 130*l**2 - 145*l + 270 = 0.\nAnswer: -2, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -12237555*k. Let m(o) = -11*o**2. Give i(m(u)).\nAnswer: 134613105*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1030\/11, 10.7, -1, -31 in ascending order.\nAnswer: -31, -1, 10.7, 1030\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - q**2 - q**2 - q**2 + 3*q**2 - q**2 + (q - 2*q - q)*(2*q + 3*q - 4*q) + (1 + 5 - 2)*(-518*q**2 + 4043*q - 4043*q).\nAnswer: -2075*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1130295 and 2260590.\nAnswer: 2260590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35855 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from xsrrsxgsxxrsxsxrsc?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 435 - 437. What is the least common multiple of 121 and (-5 + 3)\/(n*2\/4)?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 3764536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 + 3*s. Let q be 96\/(-8) + 0*2\/(-8). Let f(c) = c**2 - c. Let v(u) = q*f(u) - 4*x(u). Let d(l) = -17*l**2. Calculate v(d(t)).\nAnswer: 1156*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 8*r - 4*r + 138, 12 = 4*r. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5894 (base 12) to base 5.\nAnswer: 304104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13180 - -26934. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*u + 5 = 0, -2*t + 2*u + 7 = -t. Suppose 3*f + 24 = t*b - 0, -2 = -f - 4*b. Calculate the smallest common multiple of (-44)\/(-6) - 4\/f and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let q be (-2)\/((-4)\/(-34)) + r. Let d = 43 + q. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180550238029122 take away -1?\nAnswer: 180550238029123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - -458. Suppose 4*b - 1744 - j = -4*f, -5*b + 5*f = -2860. Suppose 626 = 5*u - 4*c, -4*u + 3*c + b - 69 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d + 2 + 23*d - 919*d**2 + 4804*d**2 + 20*d.\nAnswer: 3885*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 32. Let i be 0\/26 + (-3)\/((-3)\/11). Let c be z(i). Let g(a) = 13*a**3 + a. Determine g(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*i - 24, 4*n + 53*i - 48*i - 10 = 0. Let m = 30 + -26. Solve m*h + 23 = 2*x - n, -h = 2*x - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 7 + -4 + (8 - (-2 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y, -3*j - 5*y = j + 163. Let p be (-3)\/6 + j\/(-12). Solve p = 5*x - 3*c + 28, -3*x - 21 = -3*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6566 is divided by 2084?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82.202 + 0.202. Let k = i - -108.1. Let m = -5.7 - k. What is m rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/39 and -0.069 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 15 - 13. Suppose -2*q - 2 = -4*j, -j + 17 - 4 = 2*q. Sort q, 3, f.\nAnswer: 3, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.13, -0.2, 798?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-9))\/(9*17\/(-765)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 6*p**2 - 12*p + 2. Let y be v(-7). Let t be 54\/y - 134\/10. Which is smaller: -6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -5 (c) -0.3 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27498366 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/18507312 and -47\/1824.\nAnswer: 703277856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*g + 5*s + 7 = 0, 0 = -4*g - 4*s + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(0 + 15\/3). Let i = 1 + k. Calculate the greatest common factor of 54 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21207?\nAnswer: 3, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869854549 to the power of 1\/2, to the nearest integer?\nAnswer: 43242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-2\/39)*n**(1\/4))\/(n\/(n*n**(-1\/2)))**(7\/2) assuming n is positive.\nAnswer: n**(43\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a**2 + 2*a + 2. Let q be j(0). Solve 0 = -k + 2*k - q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 25*k - 89. Determine d(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, y: 6, k: 6, d: 3}. What is prob of picking 1 y and 1 l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000300706 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 18. Let u be g(11). Let p = 59 - u. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3285 - -356.1285. Let s = v - 356. Which is bigger: s or -6\/35?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a**2 - 3*a**2 + 4*a**2 + (43 - 11*a - 43 - a - 5*a + 5*a + (-1 + 3 + 0)*(-a - 2*a + 5*a))*(-33*a - 13 + 13) to v + b*a**2 + m*a and give b.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 53 (b) 2\/5 (c) 80 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*l - 36*l - 46*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j**2 + 218*j + 898. Give w(-4).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336859\/13 or 25912?\nAnswer: 25912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(250) + sqrt(250)*1).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*j + 1 = 4, 1 = x - j. Suppose -2*c = 6*q - 2*q + 16, 14 = 2*c - x*q. Suppose -2*u = -0*u + c*l - 38, -u - 5*l + 19 = 0. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11328 divided by -4\nAnswer: -2832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11014 (base 5) to base 4\nAnswer: -23313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 - -3. Let m = -15.5 - 9.5. Let d = -27 - m. What is the closest to 0.1 in s, 2\/11, d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 3*x**2 + x + 10. Let j be t(4). Let o(r) = 2*r**2. Calculate the least common multiple of 2 and o(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48251924 by -16457.\nAnswer: 2932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2063, 8250, 18563, 33002, 51567?\n\"Answer: 2063*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/6 - (-16)\/(-48). Suppose -14 = -w - 11. Suppose -4*n + 3*l = -4864, 5*n + w*l - 3627 = a*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4*(2 + -4 - -8). Sort 3, o, 4, -3.\nAnswer: -3, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b77 (base 12) to base 15\nAnswer: 17c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 593. What is the greatest common factor of 56 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 589905096.000183 + -589904829. Let z = -267 + b. What is z rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/5)\/b)\/b**9)\/((((b*b**(-8\/7)*b)\/b)\/b)\/((b**12*b*b)\/b)) assuming b is positive.\nAnswer: b**(117\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 587\/27 - 65\/3. What is the biggest value in b, -0.4, -2, -5\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4*t + 4*t)*(-67 - 275*t + 112 - 15*t - 75).\nAnswer: -290*t**2 - 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.1687179 micrometers?\nAnswer: 0.00001687179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168185949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102203 + -40?\nAnswer: 102113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 8:47 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 3*a**2 - 2*a**2)*(-5*a**3 + 5*a**3 - a**3 - 3) + (3246*a**2 - 1628*a**2 - 1589*a**2)*(-13*a**2 + 13*a**2 + 5*a**3).\nAnswer: 143*a**5 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:04 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21103939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 113*b**5\/60 + b**4\/6 - b**3\/6 - 20*b**2. Let q be m(1). Suppose 6*i - q = 262. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27511780 < -27511780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -4463.3?\nAnswer: -1785.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.81676 nanoseconds to milliseconds.\nAnswer: 0.00005081676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 57861556?\nAnswer: -11\/57861556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**3 - 3*g**2 + g - 2. Let s(q) = -4*q**2 + 19 + 2*q - 11 - 11 - 6*q**3 + q**3. Let i(n) = 6*j(n) - 5*s(n). Let l be i(2). Is l bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 take away 557?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13019159670.57 and -0.03?\nAnswer: 13019159670.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 4 + (-5 + 4 - 1)*(3 - 3 - 1))*(3 + 0 - 1)*(3*z - 3*z + 1 - 2*z) as c*z + y and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 - 43. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 420.486 + -420. Round n to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 12. Let y be d(13). Let c be (-17)\/51 + ((-2906)\/(-6) - 0). Suppose y*j - 18*j + c = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -30, -79, -166, -303, -502, -775, -1134?\n\"Answer: -2*p**3 - p**2 - 6*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 699*n + 2. Is q(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is da - a3983?\nAnswer: -a3887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y + 8. Let t = -1 + -6. What is the tens digit of k(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77 or 76?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(39\/12 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 11*q + 5 = -5*y, 4*y - 7*q = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/11, -4, -0.25471?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:34 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:10 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.08 - -4.08. Which is the nearest to f? (a) 0.4 (b) 0.04 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 548*-3821.4.\nAnswer: -2094127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 125 = -3*t. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4 + 60*s**3 - 256 + 89 - 204*s + 588 - 164*s**2 - 2*s**4 + 371 = 0.\nAnswer: -2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64252 is divided by 692.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2697145 divided by 18601.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 2*n - 3. Let y be d(4). Suppose 4*c + y*j = 11, c = -j + 5*j - 13. Suppose 7*g = -17 - 18. Put g, c, -4 in descending order.\nAnswer: c, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 545 divide 44500340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + 3*s**2 - 5*s**2)*(s - 2*s + 5*s).\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**3 + 2*c**2 + 7*c + 10. What is the hundreds digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81559\/7 - -11651. Suppose -5*o + t - 5 = 0, t = 4*t - 15. Which is the closest to w? (a) 1\/3 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one halves of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286018 is divided by 101.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 3*o**2 + 2*o. Let i be w(3). Suppose 4*d = 20, 2*d - i*d = r - 25. Let h(q) = q**3 + q**2 - 6. What is the hundreds digit of h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b - 6. What is the remainder when (0 - (-1)\/(-2))*-106 is divided by d(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-4))\/((-252)\/56))\/(2\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20*h - 1. Let m be v(-4). Let k = -58 - m. Let y be (13\/(-39))\/(13\/(-39)). Calculate the highest common factor of y and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3285209, -6570435, -9855673, -13140929, -16426209?\nAnswer: -19711519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 2:04 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 432396*n**2*x**2 - 3*n**2 + 12606*x wrt x?\nAnswer: 864792*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109617 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8) - (-312)\/(-96). Let a = 127 - 132. Sort a, -6, i.\nAnswer: -6, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10556, -10633, -10842, -11249, -11920, -12921, -14318?\n\"Answer: -11*f**3 - 10545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -587 < -585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 706, -8\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 52 = 4*a - 3*t, 5*a + 2*t - 32 = 0. What is the remainder when 18\/2*(-56)\/(-24) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13468503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(15\/(-165)*-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7921, -11859, -15797, -19735, -23673?\n\"Answer: -3938*r - 3983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*c = 632*c - 1252*c + 1188 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*q - 4*x, 3062*q + x - 14 = 3064*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 1205. Let g(b) = -5*b + 61. Determine l(g(f)).\nAnswer: -5*f - 1144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000 (base 2) in base 3?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709 is divided by 854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000219240088 rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 - 876*z**2 + 65664*z - 248832 = 0. Calculate z.\nAnswer: 4, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bd + 1b?\nAnswer: -6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 60, -0.000877 in decreasing order.\nAnswer: 60, -0.000877, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 = -5*v, -4*v + 0*v + 3*q = -3. Let y = 15 - 15. Solve y = -v*w + 5 + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1351 - (-5)\/(6\/2 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 6*j + 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from {r: 18, c: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 993*j**2 - 2 - 2980*j**2 - 402*j + 991*j**2 + 995*j**2.\nAnswer: -j**2 - 402*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39908?\nAnswer: 2, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12 - (-1)\/((-1)\/3). Let l be 2*(-4)\/24*o. Suppose -2*j + 4*j = -5*f + 1, -11 = l*j - f. Let r(x) = -6*x - 2. Give r(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 1, z: 5, b: 1, c: 8, t: 2}. What is prob of picking 1 b and 1 c?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 451*m - 191. Give p(1).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25088\/(-4704)*(-3)\/16*-18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201515239?\nAnswer: 201515239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + g + 4. Let t be q(0). Let n be 10\/45 + (-34)\/(-90). Factor 6\/5*d**3 - n*d + 0*d**2 + 0*d**t - 3\/5*d**5 + 0.\nAnswer: -3*d*(d - 1)**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*m + 87. Let w(g) = 56*g - 354. What is the remainder when w(7) is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - 54 - (-6 + 7 + -33 + (-1 - 5))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 + 0*c**3 + 4*c**3)*(-4 + 0 + 5 + (-3 + 3 - 2)*(-41 + 17 + 17)) to the form i*c**2 + g + q*c + k*c**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -40238.655 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-65)*20\/(-16)*0. Put 24, -5, o, -13, 3 in ascending order.\nAnswer: -13, -5, o, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b1 (base 16) to base 11.\nAnswer: 9a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16*6\/12 + (-12)\/2. Sort 37, -1\/5, g in descending order.\nAnswer: 37, g, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 69\/195 + 3\/(-15). Which is the nearest to 0? (a) d (b) -2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 and 36\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112064 is divided by 28014?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 342 = 334, 0 = 4*a - 3*p - 38 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 32*j**2 - 202*j - 2. Give g(8).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896032?\nAnswer: 2, 28001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/120 - 7*o**5\/60 - o**3\/2 + 2*o**2. Let n be f(-5). Let c = 57 + n. Solve b = 3*b + c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74\/7 + 356\/35. Sort v, 0, -9 in decreasing order.\nAnswer: 0, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - w + 0 + (3 - 3 - 2*w)*(2 + 0 + 0) + 0 + 0 - w + w - 2*w + 0*w + (-2 - 1 - 13)*(9*w + 26*w + 0*w))*(w**2 + 0 + 0).\nAnswer: -567*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -0.3, -1\/2, -32, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-9900)\/(-1080))\/((-10)\/(-6)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -383*b + 8141. Determine z(20).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -14*g + 33, 6*g - 10*g + 4 = -4*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.807 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {r: 1, b: 4, c: 1, h: 1, a: 4, w: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1443031 + 2?\nAnswer: -1443024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t. Let o(i) = 4*i**2 - 2*i. Let b be o(3). Suppose -8*d + 3*d = -b. Let l(n) = -d*n**2 + 5*n**2 - 5*n**2 - 2*n**2. What is v(l(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from {g: 4, k: 3, p: 9}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36026544 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 9*r**2 - r - 13. Let b be q(-9). Sort -1, -3, b in decreasing order.\nAnswer: -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b + 40 + 146 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.859 - 0.459. Suppose -4*z + 5 = 17. What is the nearest to 0.1 in -5, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256\/159 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4676 + 6762. What are the prime factors of g?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0*z**2 + 7\/6*z**3 - 19*z + 0. Let x(s) = 4*s. Calculate a(x(j)).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 54 + 76. Suppose -3*u - 131 + 191 = 0. Calculate the remainder when j is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58187 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - n + 6*n = 17, 2*m - 3*n - 3 = 0. Suppose -4*z + 58 = -m*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**6\/240 + n**5\/60 + n**4\/24 - 2*n**2. Let o(r) be the second derivative of t(r). Find the first derivative of o(v) wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-30)*8)\/(20\/90).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5577.081 centuries to decades.\nAnswer: 55770.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) 4 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1327*x + 411*x**2 - 1216*x**2 + 403*x**2 + 406*x**2 to n*x**2 + t + l*x and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.40933066862 + -17315.86944766862. Let w = -17313.68 - y. Let r = w + -1.78. Round r to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053.182488 rounded to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a century in years?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-609)\/(-29))\/21)\/(5\/((-4)\/((-4)\/2)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35754, 71682, 107610?\nAnswer: 143538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 519861270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 37*t**2 - 594*t + 433. Give n(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -5 + 5\/2*r**2 + 0*r. Let t(j) = -6*j**2. What is z(t(c))?\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 5. Let n = -391 + 394. Let i be n*1 - 360\/80. Which is the closest to i? (a) -3 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (12\/(-51) - 1270325\/36125).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101010 - 11111101000010011?\nAnswer: -11111101101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {o: 1, b: 4, n: 3, g: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/((-5)\/15). Let y(b) = 2 - 4 + v + 3*b. List the prime factors of y(9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670910 = 73*j - 1987538. List the prime factors of j.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - -1 - (4 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 11. Suppose m*c - 12 = -0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21 - 160\/(-8))*-41995?\nAnswer: 5, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*180\/160*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 4:18 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.06, -1\/11, 28 in descending order.\nAnswer: 28, 0.06, -1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2520156?\nAnswer: 1\/2520156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaaaldklalldlkall. What is prob of picking 1 l and 1 k?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151001255 + -1?\nAnswer: 151001254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4912292 (base 10) in base 8?\nAnswer: -22572244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*i - 3*i + 5*i)*(2*i + 2*i - 2*i) + (-3 - 1 + 1)*(i**2 + 5*i**2 - 3*i**2))*(-6 + 3 + 2).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + h + 4*w + 132, -2*h + 42 = 2*w. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*u + 1658, 13*f = 16*f + 4*u - 5024. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.815 - -2.543. Let g = -0.642 - k. Let l be (-38)\/20 + (-4)\/(-10). Sort g, -1, 4, l in descending order.\nAnswer: 4, -1, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - u)*(u + 0*u + u) - u**2 + 0*u**2 + 2*u**2 + 3 + 2*u**2 - 3.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781787?\nAnswer: 233, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + s**2 + s + 2. Let m be p(0). Let a(j) be the first derivative of -1 + 2*j**2 - j**m - j**2 + j**5 + 5*j. What is the derivative of a(i) wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 2*a**2 + 7*a + 8. Let j be z(-4). Let r be 93 - (0 + j\/(-4)*1). Let u = r + -9. Calculate the remainder when u is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**2*q))\/(q\/(((q\/q**(-2))\/q*q)\/q)))**(2\/9) assuming q is positive.\nAnswer: q**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/10 + (-84)\/(-40). Let o(l) be the second derivative of -2*l**a + 2*l + 0*l**3 - 1\/3*l**4 + 0. Find the first derivative of o(w) wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -936016, 6, -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (50\/175)\/((-8)\/700)*(-4)\/(-2)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/21550 and -32\/45255.\nAnswer: 452550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - a77aa7?\nAnswer: -a77aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/209 and -69\/8?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/11)\/t)**(12\/11))**44 assuming t is positive.\nAnswer: t**(-480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 4, w: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71747212 by -874966.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p + 9 - 9 + (0 - 1 + 0)*(-2*p + 3*p + 0*p) + 9*p - 2*p + 3*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -313 - (-8 - 308) - (-23 + (-2 - -1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 20. Let h = -6 + g. What is the third biggest value in 1\/2, h, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r - 7. Let n = 0.16276 + -0.36276. Let s be 2\/3*6\/16. What is the closest to n in r, -7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 831 and 8058207?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 10*y**2 - 16*y + 5. Determine o(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-112)\/(-168))\/(-2 - 4\/6). Let b(q) = -q - 3. Let s be b(-3). Let m = 0.1 - -3.9. What is the nearest to -1\/3 in z, m, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from {s: 1, d: 2, b: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 8*d - 7. Let x be q(10). Let s = -8 - -2. Is 15 a factor of (-178)\/s - 9\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115712 times -0.5?\nAnswer: -57856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u. Let g(d) = d**2. Calculate g(z(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 7) + (3 - 4) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 + 918970*r + 4594900 = 0. What is r?\nAnswer: -5, 459490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6176 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/44 - (-15)\/4. Suppose 3*a - 89 = 46. Suppose -4*w - 9 = -4*r - a, 39 = h*w + r. Solve 3*x - 5*m = -3 - w, -4*x + 2*m = 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 907 (base 14) to base 11\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221 or -220?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300111301 (base 4) to base 15.\nAnswer: 3da01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 1, -11, -8621, 5 in ascending order.\nAnswer: -8621, -65, -11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 889 - 876. Let t(m) = -6 + 11*m - 11*m - r*m**2 + m**3 + 10. Determine t(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 91*w**2 + 25*w. Let f be h(-2). Solve f = -2*u + 314 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(448) - -2*sqrt(448)) + sqrt(28) + sqrt(196)\/(sqrt(7) + sqrt(14)\/sqrt(2) + sqrt(7))))\/(((sqrt(96)*-1)\/sqrt(12))\/(sqrt(50) + sqrt(200))).\nAnswer: -1200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 + 84 - ((-3 - (1 + -4)) + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxkm when four letters picked without replacement from {x: 5, m: 2, k: 8}.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*t + 28*v - 24*v = -312, -5*t = 5*v + 90 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82054835 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.1 + -12. What is the closest to d in 0.2, 2\/5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Suppose h - 3 = 0, -5*n - d*h + 115 = -n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 3 + 3 - 572*g + 572*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 3*i**2 + 1. Determine q(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-606)\/(-303))\/((-2)\/(-16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2637678 times 45\nAnswer: 118695510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 9*t + 6. Suppose u - 6 = -u - t*a, a - 3 = u. Solve u = 3*h - 7 - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -300246*s**6 - 3*s**3 - 122690*s**2 - 5*s?\nAnswer: -36029520*s**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57773, 57803, 57855, 57929?\nAnswer: 58025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30801, -32526, -34251?\n\"Answer: -1725*j - 29076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16*r + 5361 - 10474 + 5310. What is c(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.903 + 39.99. Let v = g - -0.033. Let f = v + -2.1199889. Round f to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7047 and 99?\nAnswer: 77517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6498207 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -26000 (c) 35.6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*p - p + 1135 = 0, -3*o - p + 698 = 0. Suppose 5*s = -5*i + 295, i - s = -3*i + o. What are the prime factors of i?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011010011001000100 (base 2) to base 15\nAnswer: 12a0a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -35*k**2 + 71150*k - 284620. What is i(4)?\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/(-64)*19*48\/(-88)*16\/(-6)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834416527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 20, -5, 5, -2 in ascending order.\nAnswer: -5, -2, 5, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6621 is divided by 118?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -7. Let j = x + 2.2. Let i = -10.2 - -10. Put j, i, -3\/5 in increasing order.\nAnswer: -3\/5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33125\/2*x + 3825\/4*x**2 + 15625 + 1\/8*x**4 - 151\/8*x**3.\nAnswer: (x - 50)**3*(x - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1365004, 1364959, 1364884, 1364779, 1364644, 1364479, 1364284?\nAnswer: 1364059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*sqrt(343) - (sqrt(147)\/sqrt(3))\/sqrt(7)).\nAnswer: -29*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 5*r + r - 2*r + 5*r.\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2374232*r - 2374232*r + 1 - 3685*r**2 to the form j*r + s*r**2 + b and give s.\nAnswer: -3685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6 + 37456 - -1*3*1\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 2*c. Let r(h) = 0*h - h**3 - c - 2 - 1 + 6*h + 5*h**2. Let w = -22 - -28. Calculate r(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/58069641 and -41\/27575?\nAnswer: 1451741025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*p = -226, 0 = -0*w + 5*w + 5*p - 400. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0*s**5 - 2*s**4 + 0*s**2 - 1\/2*s**7 + 0*s**6 + 0 - 3*s + 0*s**3. Find the third derivative of l(t) wrt t.\nAnswer: -1260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and 52725641.\nAnswer: 52725640.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 16*p - 4. Calculate s(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945198?\nAnswer: 2, 3, 52511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f + 3*f**2 - 4 - 1\/3*f**3. Let o be 2\/(-3) + 34\/6. What is g(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 11:27 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 9039?\nAnswer: -9040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3546 and 7683.\nAnswer: 46098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.26 - 18.36. Let x = -34\/15 - -1636\/735. Let p = x - -16\/49. Which is the nearest to s? (a) -3\/4 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 + 5*t**2 + 5*t**2 - 4*t**2 + t**2. Let k(i) = -1. Let f(u) = u**2 + 5. Let q(l) = -f(l) - 5*k(l). Calculate 4*d(s) + 7*q(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 468, 1, 1254, -14, 0 in increasing order.\nAnswer: -14, 0, 1, 468, 1254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (44744\/(-1410))\/119 - (-1522)\/(-30)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272 - -327. Suppose 3*u + 2*d - l = 0, u - 5*d - 20 - 21 = 0. Calculate the greatest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10797*c**2 - 3*c - 1326 wrt c?\nAnswer: 21594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-80)\/210)\/4)\/((-10)\/(14*8\/(-64))).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 0*y**3 + y**3)*(y + 5*y - 4*y)*(1168*y - 484 + 484).\nAnswer: 2336*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1342820 - -6.\nAnswer: -1342814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 11*f - 11. Let i be c(-12). Suppose -2*q - 20 = 3*q + 4*j, -q - 5 = j. What is the biggest value in 0.4, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*l*r*z - 12627*l*r - l*z + r*y + 29*y*z wrt z?\nAnswer: -8*l*r - l + 29*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 311882 - 460205 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x - 13. Let j be (70\/(-5) + 7)\/(3 - 4). Calculate t(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**7\/35 + 7*u**5\/15 + 22*u**2. What is the third derivative of l(o) wrt o?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1262 + 2008 + 2384 = 313*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 1, -5, -1, 8138, -4 in ascending order.\nAnswer: -5, -4, -3, -2, -1, 1, 8138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39\/7 + 461\/14. Let z = -38 + j. Sort 0.2, 0, 3, z in increasing order.\nAnswer: 0, 0.2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*z**2 - 88*z**2 - 41*z**2)*(2 + 2*z**2 + 3 - 4).\nAnswer: -498*z**4 - 249*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 12 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 2. Let i be (-3)\/3*(2 + m). Let k(p) = 2*p - 6. Let w be k(5). What is the nearest to i in -3\/5, 1\/7, w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 2*a**2 + a + 1. Suppose -2*o + 5 = -9. Calculate the remainder when o is divided by f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -52, 5 in descending order.\nAnswer: 5, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8.6. Let n = -0.2 - u. Let w = -0.35 + n. What is w rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + 4*2*sqrt(36))\/sqrt(12).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10322?\nAnswer: 2, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -141*q. Let b(d) = 3*d**2. What is b(l(v))?\nAnswer: 59643*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1808 divided by -904\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**4*q\/(q\/(q**(-3)*q*q)*q))\/(q**(-1\/5)\/(q\/q**(-3))))\/((q**(2\/7))**(-6\/17)*(q*q\/q**(2\/3))**(-25)) assuming q is positive.\nAnswer: q**(76102\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 252 - -96. Round b to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29181 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 311.15 * -9.4\nAnswer: -2924.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 199, 592, 1153, 1858, 2683?\n\"Answer: -4*a**3 + 108*a**2 + 97*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 13*p + 17. Let l be a(-14). Suppose -l*g + 530 - 140 = 0. What are the prime factors of g?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a microgram in nanograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 254762 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6503, 6298, 6089, 5876, 5659?\nAnswer: 5438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 15 = m. Suppose 0*c = c - 2654789. Suppose 0 = m*f + c + 145211. What is f rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 1561 = -7*a - 1753 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9121706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11433, 90766, 306097, 725424, 1416745, 2448058?\n\"Answer: 11333*k**3 + k**2 - k + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 3*u**2 - 7*u + 3. Determine m(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from rtrtrmrrttmt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*f + 13843 = 0, -2*j + 2321 = -f - 3211. Let b = j + -33169\/12. Calculate the common denominator of b and -151\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = 2*w - 21, -5*w + 6 = 3*l. Let h(g) be the second derivative of -35*g**3\/2 + g**2 - 11*g. Is h(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 9. Let l(u) = 8*u + 27. Calculate 11*c(g) + 4*l(g).\nAnswer: -g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 62?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -195*l**3 - 12*l**2 - 13*l - 2. Calculate the remainder when m(-1) is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 23*v**3\/3 + 3*v + 5. Let m(f) = 8*f**2 + 1. Let h(r) = 17*m(r) - 6*n(r). Give h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2423 - 20212055?\nAnswer: -20205232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/6 - y**5\/15 + y**4\/8 - y**3\/6 - 6*y**2. Is g(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*sqrt(720))**2 + 3*(2*sqrt(720))**2.\nAnswer: -384*sqrt(5) + 20176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = 77638*f - 77660*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2. Let v(j) = -j**3 + 5*j**2 + 12*j - 34. Let q be v(6). Let s(f) be the second derivative of -f + 0*f**q + 0 - 1\/6*f**3. Calculate s(i(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:48 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 41 = 3*m + 6*w, -4*m - 4*w + 48 = 0. Let l(s) = s + 6. Let b be l(m). Suppose f + 2*y = 7, -3*f + y + b = 3*y. Solve f*t + 9 = -6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 988 + -345?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 176753 and 4.\nAnswer: 707012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-13 + 3)*2\/(-5) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-2) + 9 + -3. Suppose 3*s + 9 = 4*x, 7 = 3*x - 2*x + c*s. Let h(p) = -p**x - 4*p + 130 + 0*p**2 - p**2 - 3*p**2 - 134. Give h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 5, -3, 0.\nAnswer: -3, 0, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18114 + 2?\nAnswer: -18112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7)\/m*m)\/(m\/(m*m*m**(-24)))*m*(((m\/(m**(-2)*m)*m)\/m)\/m)\/m*m*m**(-2\/11) assuming m is positive.\nAnswer: m**(-1675\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - p + 45 = -2*p, 3*p = l + 5. Let y = 59 + 31. What is the highest common divisor of y and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*o = 2175, 3*n - 966 = -2*o + 338. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + 6*(sqrt(2448) + 1 + sqrt(2448)) + (-1 + sqrt(2448) + 5)**2 + 1)*-5.\nAnswer: -74160 - 7200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*370956.6.\nAnswer: -1483826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + 3*i**3 + 3*i**3)*(5*i - 21*i - 26*i)*(1 - 1 + i).\nAnswer: -84*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 40. Let f(s) = -s**2 + 8*s. Let q be f(y). Put 3, -3, q in descending order.\nAnswer: q, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) -68 (c) -112\/11 (d) 4 (e) -0.2 (f) -4 (g) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*b = 25, 8*n - b + 5 = 3*n. Let a(d) = 1. Suppose 0 = 2*o - 5 + 3. Let p(c) = -c**3 - c + 9. Let v(f) = o*p(f) - 6*a(f). Determine v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2098 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 47150.\nAnswer: -1\/9430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3\/3 + 3*d + 538. Let t(k) = -3*k. Determine f(t(g)).\nAnswer: -9*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**4\/4 + i**3\/6 - 4*i**2. Let u be q(-2). Let h = u + 36. Calculate the highest common divisor of h and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and -15.844?\nAnswer: 22.1816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 489 or 490?\nAnswer: 490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -50.814 and -332.\nAnswer: -382.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 396, 626, 858, 1086, 1304?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:12 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*-2*(-13)\/(-39)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15652 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -0.4, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ensuuusnwxsuxus. Give prob of sequence uwe.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 5, c: 3, s: 3}. What is prob of picking 2 m?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -443, -982, -1555, -2162, -2803?\n\"Answer: -17*v**2 - 488*v + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7438987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/27 + 47\/9. Suppose k*f - 106 = -q + 78, -34 = -f - 3*q. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(405))**2*6 + -4 + 0.\nAnswer: 324*sqrt(5) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1 + 1 + 3*r. Let d = 6 + -6. Let o(x) = d*x**2 - 3*x**2 + x**2. What is l(o(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -21 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.93 + 0.07. Let s = -65 + y. Let b = 52.8 + s. What is b rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a - 3*a)*(-1 - 1 - 1) + (2*a - 5*a + 5*a)*(-1 - 2 + 2) - a - a + a + (3 - 4 + 2)*(-5*a + a + a) + 0 - 2*a + 0 in the form u + q*a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.001 + -0.401. Which is the third biggest value? (a) 0 (b) n (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52750 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 38*k + 728. What is the remainder when v(-19) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**8\/112 + x**4\/12 + 7*x**3\/2 + 160*x**2. Find the second derivative of c(s) wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 97 = -o, -2*q - 456 = -4*o + q. Let i = o - 45. Suppose -4*p + i = -5*j - 201, 3*j = -2*p + 131. What is the remainder when p is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 42\/11 + 50\/(-10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-26 - -11 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153100.\nAnswer: 2, 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3*r**3*v + 35*m**3*r*v - 4*m**3*s**2 - 2*m**2*r*s**2*v + 6*m**2*r*v + 9*m*r*v - 3*r**3*v + 2*r*s*v wrt m.\nAnswer: 12*r**3*v + 210*r*v - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*r + 2 = 0, 3*x + 2 = 2*x + 4*r. Calculate the lowest common multiple of x and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16194756 and 55363?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 - 106. Suppose -18 = 5*k - g. Let h = k - 17. What is the closest to h in -1\/10, 0.3, 0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 9) to base 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a week in minutes?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/12 - p**3\/6 - 7*p**2\/2 - 2*p + 20. Give y(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55737*y**5 - y**3 - 3*y - 275999.\nAnswer: -1114740*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5}. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4859035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - k - 15625, 4*j - k = k + 62500. Let m be j\/(0 - (-1)\/(-576)). What is m rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5 + 28*x**4 + 132*x**3 + 208*x**2 + 142*x + 36.\nAnswer: -2*(x - 18)*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -451, -913, -1545, -2353, -3343, -4521?\nAnswer: -5893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (30 - 31) - -60?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -5 + 7 + -3 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1154 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -158, -5, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -279b5dd1 - -2?\nAnswer: -279b5dce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -26) + 2 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f - 2*f - 3*f + 7*f. Let g(t) = -t**2. Calculate g(u(c)).\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:39 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 7 = -f, y + 3*f - 290 = -291 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11\/5 (b) 4\/7 (c) -40 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 81881421, 163762840, 245644259, 327525678, 409407097?\n\"Answer: 81881419*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 330223 (base 4) to base 3\nAnswer: 12022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64\/6*(135\/(-6))\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621427381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -445884 equal to -445883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.44 - -5.44. Let j = g - 5.0077. What is j rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 82*f**2 + 1. Is a(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102310032002 (base 4) to base 6.\nAnswer: -253415322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -377383?\nAnswer: 377380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t + 18 = 0. Find the common denominator of (-175)\/4*t\/110 and (-15)\/(-54)*963\/(-45).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) - -3*1*sqrt(1088).\nAnswer: 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**3 + 2*i**2 + 7*i + 3. What is the remainder when 84 is divided by w(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/15, 1, -0.069, 5, -0.03 in decreasing order.\nAnswer: 5, 1, 2\/15, 0.1, -0.03, -0.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -223275450 divided by -6566925\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 910.347\nAnswer: 273.1041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -291 - -303. Let k be ((-6)\/(-8))\/(1\/(-24)). What is the lowest common multiple of 9 and k\/a - (-51)\/6?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1603340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102596749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/((2\/9)\/1). Suppose -10*m - 7 + k = 0. Let -6*c**2 + 15 - 2*c**3 + m*c**4 + 10*c - 1 - 18 = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25\/2 - 12. Let p = 23536 + -23548. Which is the closest to 1? (a) 0 (b) -2 (c) p (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 43\/38, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/((-3)\/(-40)*(-80)\/(-15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*f + f = 19, -2*j - 3*f = -22. Suppose j*r = 7 + 3. Let i be r - -3*10\/15. Solve i*c = -2*z - 12, c = 4*z - c - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4\/h*h**(-2\/7)*h)**(-32)*h**(-3)\/(h**(-1\/10)\/h)*(h**(-2\/9)*h)\/h**(-3\/8) assuming h is positive.\nAnswer: h**(-301403\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 2*d. Let z(n) = n**3 - 20*n**2 + 63*n + 18. Let l be z(16). Calculate q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 736602 - 408.5.\nAnswer: 736193.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -355, -926, -1725?\n\"Answer: -114*c**2 - c + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101298149 - 2?\nAnswer: 10101298147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-20 - (7 - 5)) - -20.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from cvkgjce?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30016 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) -1 (c) 4\/17 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l - 3. Let z(y) = 5*y**2 - 6*y. Calculate the remainder when z(l) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2049972, -4099938, -6149904, -8199870, -10249836, -12299802?\n\"Answer: -2049966*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96282234?\nAnswer: 2, 3, 19, 281527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -914*c - 97791. What is d(-107)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p - 16. Suppose -29 = -p*x + 19. Calculate the lowest common multiple of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q + 1. Let v = 6 + -10. Let s(l) = 3*l + 0*l - l. Let h be s(v). Let m(w) = -3*w**2 - 2*w - 2. Calculate h*b(x) - 3*m(x).\nAnswer: x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -20. Let i = o - 6. Let u(m) = m - m + i*m. Let x(y) = -y**2. What is u(x(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15404 divided by -10246?\nAnswer: -7702\/5123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737595 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 7:02 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 - 2*o**2 - 14 + o**2.\nAnswer: 9*o**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 661*j**6\/40 - j**5\/12 + j**4\/12 + j**2. Let c be p(-4). Round c to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322189?\nAnswer: 7, 46027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -459*m. Let k(h) = 12*h. Give 189*k(r) + 5*y(r).\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -2*i. Let r be 99\/i + (-5)\/10. What is the greatest common divisor of r and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1397*r**2 + 121*r**2 + 298*r**2.\nAnswer: 1816*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (98\/6)\/((-11)\/(-66))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/8 + 2*u**3\/3 + 2*u**2 + 21*u + 12. Let s(i) be the third derivative of -i**4\/24 - i**3\/6 - 2*i**2. Give q(b) + 2*s(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 661609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2275423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**4 + 253*b**3 + 15*b**2 - 31584*b?\nAnswer: -312*b + 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -62*t**4 + 2*t - 348. Let c(w) = 311*w**4 - 11*w + 1738. Let x(r) = -11*a(r) - 2*c(r). Differentiate x(k) wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + 2 - 2 + (0*j**3 - 2*j**3 + 0*j**3)*(-j + 7*j + 0*j) + 1 - 1 - j**4 to u*j**3 + t*j + b*j**2 + z*j**4 + i and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h + 1. Determine z(6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 z, and 1 b when three letters picked without replacement from zbcwzzzwibzz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 5*k - 2. Let p(s) = -4*s**2 + 6*s + 3. Let q be (-1807)\/52 + 34 - (-23)\/4. Determine q*p(d) + 6*r(d).\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26334 - 37054.5. What is q rounded to the nearest one hundred?\nAnswer: -10700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:34 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 399177.5 millilitres in litres?\nAnswer: 399.1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1241\/7 + 177. Let t = -2101 - -2101. Which is the nearest to t? (a) 4 (b) z (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 less than -0.151?\nAnswer: -1.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.98? (a) -5921 (b) -0.06 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m**5\/7 + 332*m**4 + 340*m**3 - 8900*m**2\/7 - 10608*m\/7 - 1584\/7 = 0 for m.\nAnswer: -33, -2, -1, -3\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 830?\nAnswer: 19920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = -69*a + 29005486. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9548 + -190899\/20. Calculate the common denominator of 95\/16 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3431675.\nAnswer: 5, 13, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -4232003?\nAnswer: 4232001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 1\/12*b**4 - 5\/6*b**3 + 5\/2*b**2 + 0 - b. Determine q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504696 times -0.3?\nAnswer: -151408.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-12) + (-1101)\/(-734)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -48668421.\nAnswer: 2\/48668421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x**2 + 6*x - 3. Let l(k) = -8*k**2 + 5*k - 2. Calculate -6*l(i) + 5*m(i).\nAnswer: 3*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448, -893, -1336, -1777, -2216, -2653?\nAnswer: -3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 278225.64 months in years?\nAnswer: 23185.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 - -b90?\nAnswer: bc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1089 and 36405.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 66?\nAnswer: 20\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b - 1577 + 6*b**3 - 13*b + 1584 to the form p + t*b + r*b**3 + c*b**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 2. Let z = l - -58. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 1\/20*a**4 + 0*a**3 - 5\/2*a**2 + 0*a + 1\/200*a**6 + 4 + 3\/100*a**5. Let n(x) be the second derivative of v(x). Factor n(y).\nAnswer: 3*y*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24651816.\nAnswer: 2, 3, 7, 19, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 30. Let p be 6*((-5)\/3 - 2). Does 2 divide w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 121?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -6. Let l = 8 + x. Let k(d) = -d**3 - 6*d**2 - 5*d - 1. Let t be k(-5). Is t at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.218, -995, -4, -29.9?\nAnswer: -29.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 18*s - 3600. Let n = -226 + s. Which is bigger: 7\/39 or n?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*u**3 + 0*u + u**4 + 4*u**2 - 3*u**2 + 1 + 10*u**3 + 2*u to the form v + x*u**4 + k*u**2 + a*u**3 + f*u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2693 - 2688. Let z(x) be the third derivative of 0*x - 3\/2*x**3 - 1\/4*x**4 + 9*x**2 + 0 + 1\/20*x**p. What is r in z(r) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*(9\/21 + 10\/(-105)). Let j(h) = -9*h + 21. Determine j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*o - 22, -4*o - 4*m = m + 31. Let x be (2 + 1)*(-2)\/3. Let a = -4 - x. Is a at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 215616.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -717200 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-10)\/4*2608\/815.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*m - 278*m = -123*m - 30. Solve -y - 3 = m*c, -c + 18 = y + 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220212210 (base 3) to base 8.\nAnswer: 226603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(7) + (6*sqrt(14)\/sqrt(2) - sqrt(7))) - (sqrt(10)\/sqrt(2) + 5 - sqrt(50)\/(-1*sqrt(10)))) + 0.\nAnswer: -5 - 11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-38)*27*(-220)\/132. Is f smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56902 or 56903?\nAnswer: 56903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dc - b?\nAnswer: d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637702 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - 23*w - 14. Suppose 14 - 7 = -o. Let n be c(o). Sort 5, -3, n, 2 in descending order.\nAnswer: 5, 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 116. Let p = c + -120.3. Let r = -10.29882 - p. What is r rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7612630733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(-1*sqrt(2)) - (sqrt(96)\/(sqrt(3) + (sqrt(15)\/sqrt(5) - sqrt(3))))**2 - (4*(sqrt(256) - 4*sqrt(256) - sqrt(256)))\/sqrt(8)) + -1 + 4.\nAnswer: -29 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9702, 9697, 9830, 10221, 10990, 12257, 14142, 16765?\n\"Answer: 20*t**3 - 51*t**2 + 8*t + 9725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(160)*3)\/((sqrt(450)*3)\/sqrt(10)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 505*t + 1032*t + 2 + 1 + 9*t in the form f + s*t and give s.\nAnswer: 1546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -32*p + 5*p - p + 7*p**2 - 3 - 28*p. What is the units digit of t(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20 + 16)*1407\/(-6) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 7:56 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 10*d = 5*s - 9313, -4*s = -4*d - 7444. Suppose s + 2890 = 8*m. What is the highest common divisor of 54 and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1122 and 238?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 3.\nAnswer: -16, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4280675*a**4 - 7*a**3*v - 4630*a*v + 2*a + 386*v + 2 wrt a.\nAnswer: -51368100*a**2 - 42*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714297780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*y - 3*t - 9, 3*t + 9 = -3*y. Suppose 29 = 5*v - 136. Suppose -5*q + v - 8 = y. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/13)\/(z**29\/z) assuming z is positive.\nAnswer: z**(-360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-128)*-1*21\/(-35)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 2, -32, 0.5, 80\/7 in increasing order.\nAnswer: -32, 0.5, 2, 80\/7, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(5\/3)*m**14)\/(m**9*m*m\/(m*m**(1\/6)*m)) assuming m is positive.\nAnswer: m**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 70 - 407*p**2 - 330 + 406*p**2.\nAnswer: -p**2 + 10*p - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2. Let j(i) = 8*i + 5. Let x be j(-2). Let u = -9 - x. Let g(k) = 0*k**2 - 4*k**2 + 4*k**u - 4*k**2. Give p(g(b)).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 - 92\/80. Let w(s) be the first derivative of s**4\/4 + s**3 + s**2 - 2*s + 59. Let o be w(-2). Is t less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2152, -12729, -23306, -33883, -44460, -55037?\n\"Answer: -10577*w + 8425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 = -l. Let t = 43.8 + -42. Let p = t - 1.7. Which is the biggest value? (a) 5 (b) p (c) -4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 74*y - 73. Let g be s(-38). Let d(a) be the first derivative of -2\/21*a**g - 2\/7*a + 2 - 5\/14*a**2. Factor d(l).\nAnswer: -(l + 2)*(2*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**5 + 155*z**4 - 905*z**3 - 5315*z**2 + 7310*z + 11560 = 0.\nAnswer: -4, -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -21. Let m be (6*(-5)\/h)\/((-3)\/460). Suppose -2*u = -4*u - 3*q + m, 3*u - 4*q = 673. List the prime factors of u.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 302 - 300. Suppose -z*a + 3*a - 3484 = -5*p, -a = -3*p + 2084. What are the prime factors of p?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3))**(-8))**(-24\/5)*(m**(-2)\/m*m**3)\/(m\/(m*m*m*(m\/(m*(m*m\/(m**7*m))\/m))\/m*m)*m\/m**5) assuming m is positive.\nAnswer: m**(-511\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l**2 + l - 1. Let h be x(1). Suppose -h = -6*o + 5. Suppose -o*j = 2*i - 42, 4*i + 6 + 8 = j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 1404.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30941 is divided by 5095?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.02 - 0.02. Suppose -4 = -5*m + g, -4*m - g + 2*g + 3 = 0. What is the closest to m in r, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 + 10*n - 152 + 292.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 16*q - 15*q = 15, 2*i - 3*q = -5. Solve -g - i + 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 436992 and 32433.\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 245. Let p = -513 - -531. What is the smallest common multiple of p and d?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*r + 9*r + 2*r - 7*r in the form u + h*r and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -9)*(-4940)\/1560.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - -332. List the prime factors of v.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-630)\/(-162) - -2) + 2\/((-14)\/49)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63827700 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*d**2 - 18227 + 18227 + 142*d**2.\nAnswer: -125*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 19\/5, 2, -0.05276.\nAnswer: -0.05276, 0.03, 2, 19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 64 (b) 3\/4 (c) -1 (d) -5 (e) 85\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 8, n: 11}. Give prob of picking 2 k and 1 z.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/(-140))\/(100\/2450)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/9 - 49*a**4\/9 - 442*a**3\/9 - 908*a**2\/9 + 184*a\/9 + 1216\/9 = 0?\nAnswer: -38, -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(4*(sqrt(117)*6 - sqrt(117)))\/((sqrt(108) - sqrt(108)*-4 - sqrt(108))\/sqrt(12)))**2.\nAnswer: 10400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -334, -1\/190?\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 67984*d + 1972377.\nAnswer: -(d - 29)*(d + 68013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9987 = 468*v + 627 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -62425904 + 5?\nAnswer: -624258aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0404246032 rounded to 4 dps?\nAnswer: -0.0404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 7. Let c(y) = 4080*y - 12138. Determine -6*c(w) + 10404*r(w).\nAnswer: 6732*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose -p - 21 = -f*p. Suppose -2*v + 1 = -p. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233523, 235330, 237137?\nAnswer: 238944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23816356 and 134.\nAnswer: 23816356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -67, 11033.\nAnswer: -67, -3, 11033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h + 6324 + 5*h + h**4 - 6391 wrt h?\nAnswer: 4*h**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85602.02 micrograms in nanograms?\nAnswer: 85602020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67304)\/(-3948) - (-5)\/(-105)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16607567, -66430253, -149468063, -265720997, -415189055?\nAnswer: -597872237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/341164 and -1\/3762?\nAnswer: 33775236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/7)*a**(-29\/4))\/((a**12*a)\/a**(3\/4)) assuming a is positive.\nAnswer: a**(-281\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 51243111933.\nAnswer: -51243111930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 11*d + 6. Calculate the remainder when 48 is divided by p(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*d + 294. Is (6\/3)\/2*d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**3 - 12*q**2 + 48*q + 76. Let u(v) = 3*v**3 - 5*v**2 + 23*v + 38. Determine 2*j(y) - 5*u(y).\nAnswer: y**3 + y**2 - 19*y - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + 152. Solve 3*y + 8 = -i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -219, -502, -907, -1440, -2107, -2914, -3867?\nAnswer: -4972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*x + 115*x - 40*x + 27 + 50 - 39*x in the form p*x + d and give d.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 25*h**2 - 33*h - 24. Calculate the least common multiple of l(-24) and 120.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -3\/2 (b) 4 (c) 2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44642*t + 16240 = 44236*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264936 divided by -12616.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 830 and 25896.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 131, 94, 59, 26, -5?\n\"Answer: j**2 - 40*j + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179661*h**2*n**2*r*z - h**2*n**2*r + h*n**2*r + 3*h*n*r*z - 2*h*n - 70*h*r*z + 2*n*r*z - 10*r*z - 10*z wrt h.\nAnswer: -359322*n**2*r*z - 2*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 68 = 2*d, 5 = 3*t + d - 38. Suppose t*z = 4*z. Suppose -11*k + 9*k + 4 = z. Solve 2*m - k = -4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 35 + 13. Suppose 3 = -0*q + q. Solve 3*x + q = z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**8*k*k**0*k*k\/(((k\/k**(-7))\/k)\/k)*k**(2\/11))**(-7) assuming k is positive.\nAnswer: k**(-476\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 9}. Give prob of sequence oaa.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233 - -250. Suppose i*q = 24 + 27. Solve 5*t - 5 - q = 3*w, t - 16 = -3*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(2 - 2*r - 2) - 8*r - 25*r + 14*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1327*q - 5375. Calculate s(4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17178 is divided by 3237?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(160)\/sqrt(8) - sqrt(5)))\/((sqrt(196) + sqrt(196) + 1*sqrt(196) + sqrt(196) - sqrt(196))*-1 + sqrt(196)) + 4 + -3)**2.\nAnswer: -sqrt(2)\/7 + 99\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfa when three letters picked without replacement from {a: 4, d: 4, f: 1, s: 3, e: 1}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311 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: List the prime factors of 42244.\nAnswer: 2, 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -780 - -1103. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 27*j**2 + 25*j + 44. Is m(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 9*x + 25. Let j be m(-11). Solve 2*d - 5*r - 5 = 2, -4*d + j*r - 7 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 15) + -4 - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -2\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 21045 = -0*z - 5*z, -2*a + 5*z + 42120 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695455689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(0*f + 4*f - 2*f) + (-4*f + f + 6*f)*(2 + 2 - 1).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*x**2 - 269*x + 128.\nAnswer: (2*x - 1)*(13*x - 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(151 - 4))\/((-3)\/(-15)*495\/54).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3.413988 (b) 0.05 (c) -0.5 (d) -5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 123*b - 17. Let q(h) = -122*h + 19. Let z(g) = -4*g**2 - 8*g - 5. Let i be z(-2). Let v(n) = i*q(n) - 4*p(n). Is v(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392442449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3 + 600*a**2 + 1192*a = 0. What is a?\nAnswer: -298, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*1\/(-2)*-5. Suppose 7 = 2*q + a*o + 53, 4*o + 83 = -3*q. Let z = -13 - q. What is the remainder when 59 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/43)\/(c*c**20\/c)*c*c**(-3\/14)*c*c*c*c*c*c\/c**(-29)*c assuming c is positive.\nAnswer: c**(10091\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161.04*0.28.\nAnswer: -45.0912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3 = -1. Let z(m) = -m**2 - 3*m - 3. Let s(f) = -f**2 - f - 1. Let y = 77 + -80. Let o(w) = c*z(w) + y*s(w). Let h(g) = 2*g**2. What is h(o(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**6)**38 assuming n is positive.\nAnswer: n**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 8, i: 5}. Give prob of picking 2 b.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -200213 (base 4) in base 10?\nAnswer: -2087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 10*m**2 - 12*m. What are the prime factors of k(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/8 + q**2. Let k(s) be the third derivative of 13*s**5\/12 + 26*s**2 + s. Calculate k(b(o)).\nAnswer: 585*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 2. Let k = n + -57. What is the remainder when 36 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 12:49 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 5. Suppose 2*x + 4*l = 10, -5*l - 20 = -4*x - 0. Suppose -b + 1 = -x. Suppose v - 2 = -b. Calculate h(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 0, -14*m + 1180 = 4*j - 16*m. Calculate the remainder when j is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e923b9 + -5?\nAnswer: -e923be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*((sqrt(208) - (sqrt(208) + 1 - sqrt(208))) + sqrt(208)))**2.\nAnswer: -16*sqrt(13) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t - 2. Suppose -2*x - 64 = -q + 2*x, -q - 2*x + 34 = 0. Let i = -15 + q. Let j = 27 - i. What is f(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2 - 38*d + 68 = 0. What is d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdqqqzzzzzqzdzqd. What is prob of picking 2 d, 1 q, and 1 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858490825?\nAnswer: 5, 74339633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13260 divided by -156\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 6*o. Let q(t) = t + 3. Let u be q(-5). Put 2, u, o in decreasing order.\nAnswer: 2, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, e: 2, h: 5}. What is prob of sequence feef?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/s)**42\/(s**(-11))**(-12) assuming s is positive.\nAnswer: s**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 3:04 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67548 = 5*v - 5*l - 33037, v - 20101 = 5*l. Round v to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14535 - -6661?\nAnswer: 23416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12102120 (base 3) to base 16\nAnswer: f75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.068450083 to 3 decimal places.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 621884711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 525 + 2\/(-4)*0. Suppose -v - 4*v = x. Is (v + -1)\/(1 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(17\/4)*c*c\/(c\/c**8)*(c**18*c)\/c**(2\/15) assuming c is positive.\nAnswer: c**(1927\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2404*s**2 - s. Let i(c) = 30*c. Determine i(y(l)).\nAnswer: 72120*l**2 - 30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1133 (c) -0.03 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m + 5. Let d(i) = -274 + 590 - 74*i - 292. Determine 3*d(a) - 14*n(a).\nAnswer: -12*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1914.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -88 and 18611?\nAnswer: 18699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = -5*m - 419. Suppose 3*o = -m*o - l + 23, 0 = 2*o + 2*l - 14. Solve 3*q = -2*d - 17, 15 = -2*q - d - o*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/(-9) - 6\/9. Suppose 45 = 5*w + 5*y, 3*w - 39 = w + i*y. Find the third derivative of 6*s**5 + w*s**2 - s**2 + 4*s**5 wrt s.\nAnswer: 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 11 = 3*w + 5, 3*w = -4*v - 26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2.5. Let j = -0.386 - -4.386. What is the closest to -0.1 in j, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((-3 + 4 - 1) + -1 - -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2736)*-2 + -5 + sqrt(2736))**2*-6*6.\nAnswer: -596376 - 25920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2372.80136 and 0.1?\nAnswer: 2372.90136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -13.5. Let q = -1.6 - x. Sort 0, 2\/9, q in descending order.\nAnswer: 2\/9, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = 2. Let u(y) = y**3 - 8*y**2 + y - 2. Let a be u(8). Suppose 0 = -s*m + a*m. Solve -5*i = -m*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 + 18*i**2 + 4*i**2. Let d(j) = 10*j**2 - 3*j - 6. Let q(r) = -28*r**2 + 8*r + 16. Let a(f) = 8*d(f) + 3*q(f). What is a(c(z))?\nAnswer: -3600*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*n + 4 = 0, -585*z - 18 = -588*z - n. Which is the nearest to -2? (a) -3 (b) 17 (c) 4\/7 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92181474 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 14 = -4*y, -3*y - 6*k + 5*k - 11 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.05 + -0.05. Let p = j + -2.5. Which is the second smallest value? (a) p (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 15*g**2 - 7*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/15 (b) -637 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272421 to the power of 1\/2, to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -681, -3715, -11441, -26205, -50353?\n\"Answer: -391*p**3 - 297*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 169, 278, 407?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1404 and 4215516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*g - 402 - 896 + 271*g - 91*g - 91*g to w*g + v and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = -4*f, -v - 2*f = -7 + 3. Suppose 6*z - v*z = 2. Put z, -5, 5 in decreasing order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f**2 - 12*f - 3. Let o(s) = 26*s**2 + 36*s + 8. Give 14*b(n) + 5*o(n).\nAnswer: 4*n**2 + 12*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.5 (c) -3.3311\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Let k = 3791 - 3809. What is the units digit of g*-5 - (k - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-1)\/o*o*o)\/o)\/o)**29*o*o\/(o\/o**7*o)*o**(2\/17)*o**(-1)*o\/o**6*o*o*(o*((o*o**(-1\/4))\/o)\/o)\/o*o**(2\/9)\/o*o assuming o is positive.\nAnswer: o**(-16469\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-102)\/10 + 52\/260. Let w(a) = -11*a**2 + 0*a**3 - a**3 + 0*a + 28 - 11*a. List the prime factors of w(h).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/((-6)\/30). What are the prime factors of 1\/i*(16 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 189 = -3*u, -t + 15*u - 12*u = -75. Calculate the lowest common multiple of 1539 and t.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 0 + (-42063)\/(-48). Let z = -878 + u. Find the common denominator of (-186)\/1368*(-27 + -17 + 41) and z.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3781146 + 3344739 = 0. Suppose -5*i = -h - 1759850. Let n = -1357029 + i. What is n rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -617174654 - -2\nAnswer: -617174652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q*t**4 - 64*q*t**2 - 383*q*t wrt t?\nAnswer: -24*q*t**2 - 128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 + 35\/(-15) - 1. Let n(r) = -21*r - 22. Calculate the remainder when n(s) is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbcfbfccd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 + 119.8. Let o = 5.3 + q. What is o rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szsg. What is prob of sequence gs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, y: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 43 = 4*i, 4 - 5 = -i - 4*k. Suppose y - 6 = 2*y - 5*b, 2*y = 5*b + i. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -37. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvg when three letters picked without replacement from {v: 1, g: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from erqql?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**6*j)*j)**(11\/5)*j\/j**(-8)*j\/j**12)**(-1\/18) assuming j is positive.\nAnswer: j**(13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -55. Suppose -3*t - j - 2 = 0. Let a = t + 95. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a*d - 22595*a + 171*d wrt d.\nAnswer: 6*a + 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihs when three letters picked without replacement from xxxxxsxxhixxixsx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (4 - 3)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*i - 4*i + i)*(-6*i + 4*i + 0*i) + 97*i**2 - 42*i**2 - 14*i**2)*(0 - 3 - 13) as m*i**2 + v*i + q and give m.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let l(n) = n**3 + 4*n + 6. Let j(i) = 4*b(i) - l(i). What is the units digit of j(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9845442133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(4 + sqrt(832)*-1)*6*6)**2.\nAnswer: -82944*sqrt(13) + 1099003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*n + 86. Solve n = 3*l - 11 - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*y + g, 0*y = 4*y - 3*g + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/3 - x**3\/3 - 482*x. Let o(b) = -b**2. What is w(o(k))?\nAnswer: 4*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -10. Suppose r = 7*r - 1254. Suppose -r*t + 10 = -214*t. Sort t, c, -4.\nAnswer: c, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*w = -2, 5*w - 8 = -7*r + 3*r. What is the second derivative of 9*p**r - 10*p + 3*p - 3*p**2 wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42863203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -5. Let p be ((-8)\/j)\/((-26)\/(-65)). Suppose -3*n - 5*w + 432 = 0, -n - p*w - 40 + 184 = 0. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzzzdzqlqqzkzd. Give prob of picking 1 q, 2 d, and 1 z.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9247, -14451, -19655, -24859, -30063?\nAnswer: -35267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = l, 0 = -2*l - 2*l + 3*r - 1. Let x be 2\/l + -10 + 16. Suppose -3*a + x*v + 127 = 0, -40 = -4*a - 2*v + 100. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 18*j + 360 = 0. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 607868982*c**4*f - 146*c**2 - 3*c*f + 140351*f wrt c?\nAnswer: 14588855568*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t - 199*t + 915 = -7305 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - 0) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28578719 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3246?\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 469 = 9*q + 53*q. Sort -111, -1, q in descending order.\nAnswer: -1, q, -111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**3 + 7*q**2 - 6*q - 1. Let g be i(-4). Suppose -g = -5*l - 4*f, 452 = 4*l - 5*f + f. Calculate the remainder when l is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 3, l: 4, b: 4, z: 1}. What is prob of picking 1 z, 1 q, 1 i, and 1 b?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/24 + 155*n**3\/6 - n**2\/2 + 2*n. Let x(m) be the first derivative of u(m). Is x(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 24 = -3*l, -5*y - 4*l - 3 = -25. Suppose -y*n + 2*n = -8. Suppose -3*a - 3991 = -n*a + 3*f, 4003 = -a + f. Round a to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2152 or 0?\nAnswer: -2152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t - 144. Suppose 2*y + 4*y = t. Find the third derivative of 5*i**2 - y*i + 21*i + 7*i**3 - 9*i wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19768 is divided by 6236?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/120 + v**4\/48 - 6*v**2. Factor c(n).\nAnswer: n*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/16530 and 79\/16530.\nAnswer: 16530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s - 20 = 37*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**3 + h**2)*(2*h - 5*h - 4*h).\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6425*w**3 + 76929*w - 76929*w.\nAnswer: 6425*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104036 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3 + 1155*u**2 - 111744*u + 110592 = 0?\nAnswer: 1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/(-2)*(-2)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.50016427 to 1 dp.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/((-203)\/8))\/(80\/2100).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2718, -9842, -21376, -37326, -57698, -82498, -111732?\n\"Answer: -y**3 - 2199*y**2 - 520*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16 + 0.06. Let p = -5 + 5.5. Let h = -12.1 + 11.1. What is the nearest to h in n, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/3, 0.2, 1, -0.137, 9 in increasing order.\nAnswer: -8\/3, -0.137, 0.2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 824 = -418. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*n - 799*n - 924 - 701 + 333 = 0 for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjcjjjjcjc. What is prob of picking 3 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -2 - (-11)\/22*25546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52945 to the nearest one hundred.\nAnswer: -52900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + b - 2*b - 105*b**2 + 106*b**2 - 14 + b. Give u(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/9 + 6120*k - 84272400 = 0.\nAnswer: 27540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/11)\/h*h**9)**(3\/8))**(2\/9) assuming h is positive.\nAnswer: h**(49\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*t**4 - 4*t**2 + 7*t + 11?\nAnswer: 312*t**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 = 4*m - 2, 0 = -4*q - 2*m. Let p(w) = 22*w + 2. Let n be p(q). What are the prime factors of (1216\/n)\/(-2) + 4\/(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 12. Let m be x(10). Suppose -i - 5*p = 6, 4*i = m*p + 1 + 63. Let y = 2 + i. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5847.9 - -5847. What is the closest to 1 in 5, -160\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/(608\/532)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 + 46 = 41*h. Let i(k) = 9*k**2 - 7*k - 6. Let w(f) = 10*f**2 - 8*f - 7. What is h*i(z) - 5*w(z)?\nAnswer: 4*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 5094.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Suppose 0 = w*y + 2*y - 10. Suppose 0 = -0*t + 2*t - 10. Solve -25 = -5*a - t*o, 25 = a + 3*o + y*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 10*v + 3. Let q be o(-10). Suppose 10*m - 154 = q*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -505037\/3 - -11603788\/69. Let j = 175 + v. Let q = j + -25\/276. Which is the third biggest value? (a) -2\/27 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6722013043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 6608332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58624035.\nAnswer: 3, 5, 947, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -2*c**3\/3 + c**2\/2 + 19*c + 1. Let q(w) = -5*w + 1. Calculate 6*j(a) - 5*q(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 19. Suppose -2*v - 2 = -10. Let w be 760\/v*(-1)\/(-2). Calculate the greatest common factor of w and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*j - 10, 50*x - 51*x = -3*j + 4. Let d(m) = m**3 - 7*m**2 + 3*m. Let q(s) = s**3 - 6*s**2 + 2*s. Determine j*d(y) - 3*q(y).\nAnswer: -y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2663611846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (387\/86)\/((-72)\/32)*(-4)\/(-34)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370801 to the power of 1\/2, to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**6\/45 + 2*u**5\/75 + u**4\/15 - 4*u**3\/45 - u**2\/15 + 2*u\/15 - 23. Factor j(f).\nAnswer: -2*(f - 1)**3*(f + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*g + 11, 4*w - g - 2 = 7*w. Let i be (-4 + 23\/6)\/w. Let h be 2\/(-7) + 36\/567. Which is the closest to h? (a) -5 (b) i (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32293 plus -0.23?\nAnswer: 32292.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1290*o**2 + 2594*o - 12. Give h(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 3, -5*n = -4*p + 14. Let w(d) = p*d - 5*d + 5*d - 4*d - 2 + d + d**3. Determine w(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a, -2*p - 2*a + 44 = 0. Suppose -p = 3*g + 2. Suppose i = -i - 3*m - 23, 0 = -i + 4*m + 16. Sort -5, g, i in ascending order.\nAnswer: g, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-11)*p)*p\/p**5*((p*p**(2\/37))\/p)\/(p*p\/p**8) assuming p is positive.\nAnswer: p**(483\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 15 = 2*y. Let x(b) = -6*b**3 - b**2 - 7*b - 12. What are the prime factors of x(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k - 14. What is the remainder when x(-12) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 2. Let f(r) = -r**2 + 13*r - 26. Let w be f(11). What is b(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/23, 9.3, -6, 87.\nAnswer: -6, 1\/23, 2, 9.3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, -1, 3\/4706 in ascending order.\nAnswer: -1, 3\/4706, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/231)\/((-1066)\/287)?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/327344645?\nAnswer: -4\/327344645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-104) + (-2)\/(-2) + -2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647656 is divided by 538.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 11. Let i be c(18). Let s(b) = -b**3 + 7*b**2 + b + 8. What is the smallest common multiple of 15 and s(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267477.\nAnswer: 3, 7, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 9*h - 72 = 0. Suppose -r + h = 4. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/24 + 2)\/(5270\/(-660) - -8)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 938 + -936. Let d(n) be the second derivative of 4\/105*n**6 - n - 1\/147*n**7 + 0*n**z + 0 - 1\/21*n**3 - 3\/35*n**5 + 2\/21*n**4. Solve d(g) = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*a = 66, -2*y + 0*y + 42 = -2*a. Let v be y\/(-5) - 2\/(-2). Is v\/6 + (-140)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/120 - 7*b**5\/30 - 37*b**4\/8 - 30*b**3 - 1405*b**2. Factor a(d).\nAnswer: (d - 20)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2*1 + 1. Let a = -29 + 33. Factor w + 5*w + 4 - 32*w**2 - 41*w**s - a*w + 11*w**3.\nAnswer: -2*(w + 1)*(3*w - 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1662, -5 in descending order.\nAnswer: -5, -20, -1662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2451 + 2455. Solve -13 - 11 = -w - 4*i, 0 = w - k*i + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5*y + 7, -5*t = 4*y - 6*y + 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 1874 = -1500. What is l rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 1. Let a be c(-6). Suppose y + l = 6, 5 - 32 = -4*y - a*l. Find the first derivative of y + 3 - 3 + 2*b wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15540\/(-555)*(-14)\/8.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 32*k + 126. Let f be 1 + k\/6 + 2*1. Solve f = 4*c + z + 17, 2*c = z + z - 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 15. Let c(w) = w + 9. Let u be c(t). What are the prime factors of 4*(0 + (u - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(18\/12*2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*f + 660, -4*o + 160 = -f + 8. Let q = -149 - f. What is the remainder when (q\/2)\/(3\/(-66)) - 3 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 1\/4, -6068, 0.3, 0.024?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34479 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 3*z. Let u be c(-3). Let p(o) = -149 - 130 - 17 + 577 + 3*o. Does 18 divide p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282.769 - -280.8. Let w = -0.049 - j. Round w to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5412, -10881, -16342, -21795?\nAnswer: -27240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5472) - -5*(sqrt(5472) + (sqrt(5472) - -5*sqrt(5472))))\/(sqrt(98)*1*-6).\nAnswer: -72*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35713 (base 8) to base 5\nAnswer: 442212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -2)*217 - 3. Let z = a + 651. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1\/3, -13, -4 in descending order.\nAnswer: 1\/6, -1\/3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**12))**5\/(w\/w**(-2\/3))**32 assuming w is positive.\nAnswer: w**(-340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 10. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 32 - 7. Let q(i) = -9*i + 12. Let g be q(-3). What is the greatest common factor of g and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let k(b) be the second derivative of -37*b**4\/3 - 380*b. Determine k(f(a)).\nAnswer: -148*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 4. Is -10\/3 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 23*n**3 + 7*n**2 + 17*n + 5. Let f(x) = -x**2 - x - 2. Let i(g) = -2*f(g) - v(g). Calculate the lowest common multiple of 20 and i(-3).\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57600050387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/15*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52601*d**3 + 2*d - 21402?\nAnswer: -157803*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + -0.4. Let r = 893\/34 - 438\/17. Put j, r, -1 in increasing order.\nAnswer: j, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1 + 0*c - 1 + 4*c - 3*c. Let s be u(7). Suppose t - b + 1 = 0, -t - s*b + 25 = 2. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 179, 218?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9374.\nAnswer: 2, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3548623, 7097153, 10645683, 14194213?\n\"Answer: 3548530*a + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 1:57 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7371 and 1092?\nAnswer: 29484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(-2) - (3 - 2). What is the units digit of 148\/n - 3\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 10 = 12*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*a - 2 - 2 = 0, 8 = -2*g + 4*a. Suppose -42 = 5*h + p, 5*p + 19 = -g*h - 2. What is the second smallest value in h, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 4*w**2 - 11*w**2 + 7*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600642 and 882?\nAnswer: 600642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 5}. Give prob of sequence eiee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -260*b**2 + 60*b - 118. Let r be n(7). Round r to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0*3\/(-9))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + 2*n**2 - 290 + 3*n**2 + 297 - 3*n**2 + 0*n**2.\nAnswer: 10*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -18*f**3 + 3*f**2 + 5*f - 1. Let j be s(-2). Suppose j + 75 = 5*d - g, -d + 44 = -3*g. Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/42 and (-4 + 6)*(227\/(-96) + 3).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247194038 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*z - 10*a + 6*a, 3 = 3*a. Suppose 0 = z*v - 9*v - 0*v. Factor 1\/2*g**3 + 1\/4*g**2 - 1\/4*g + v.\nAnswer: g*(g + 1)*(2*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8951667*n**4 - 18674983*n**2 wrt n.\nAnswer: 214840008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124807241 - -124806612.99647. Let j = 628 + k. Round j to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 24 = 2*x. Let k(a) = 11*a**2 + 8*a - 5. Let g(r) = 5*r**2 + 4*r - 2. Let i(m) = x*g(m) - 4*k(m). What is the units digit of i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose q*g - h = g - 29, 3*g + 2*h = -32. Let m be 5\/g*(0 - -1). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 80*k**2 - 9*k - 9. Let z(p) = -20*p**2 + 2*p + 2. Let x(i) = 23*i + 106. Let c be x(-5). Determine c*z(y) - 2*d(y).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 211 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-10\/9)\/j)\/j))**(-30\/11)\/(j**(9\/5)\/((j*j\/(j**(-10)*j)*j)\/j)))**(-9\/5) assuming j is positive.\nAnswer: j**(996\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, g: 7, r: 4}. What is prob of sequence trgt?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - d = 58, 4*h - 22 = -4*d + 46. Suppose h - 39 = -4*m. Suppose -97 = -5*u + 13. What is the lowest common multiple of m and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let d = -145 + 150. Calculate q(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w - 4. Let j(t) = -14*t**3 + 5*t + 18. Calculate -5*c(v) - j(v).\nAnswer: 9*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 20. Factor -w + 0 + 4*w**2 + t*w + 1 - 9.\nAnswer: 4*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 - 6*a - 1. Let t(x) = -2*x**2 - 3*x - 1. Let p(s) = 6*n(s) - 14*t(s). Factor p(m).\nAnswer: -2*(m - 4)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, d: 10}. Give prob of sequence rrd.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*f**2*r - f**2*s**3 - 2491*f*r*s**4 - 28*r wrt s.\nAnswer: -3*f**2*s**2 - 9964*f*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133292581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 9}. Give prob of picking 3 a.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**3 + 331. Let b(g) = -5*g**3 + g - 247. Give -5*b(m) - 4*l(m).\nAnswer: 9*m**3 - 5*m - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -104*t - 1347. Let f be k(-13). Let x(w) = 19*w + 5. Let c(h) = 20*h + 6. What is f*c(n) - 6*x(n)?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 7) to base 14\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddee when four letters picked without replacement from ddedde.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178867 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, 9, 7, 3, -3, -11?\n\"Answer: -y**2 + 3*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/3 + 6. Let z(b) = 9*b**2 - 6. Let d(c) = -5*t(c) + z(c). Differentiate d(f) wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*h = z, 0 = -2*h + 2. Let r be 24\/108 - z\/((-27)\/34). Suppose -2*p + 3*n = p - 15, -3*p - 2*n = 5. Solve 5*m + p = -r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 430 - -4251?\nAnswer: 5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d. Let w be f(1). Let q = -0.1 + 0. Let j = 1 - 4. Which is the biggest value? (a) w (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/318*(7881\/(-74))\/(-71)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2175935665 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7*m + 139 = 12*m, 0 = 2*b + m - 269. Is b >= 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5892466, 5892465, 5892470, 5892481?\nAnswer: 5892498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/5)\/(45*(-2)\/(-150)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44045339 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -6, -8 in descending order.\nAnswer: -1, -6, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -169*y**3 + 5248*y**3 + 7913*y**2 - 7923*y**2. Let z be i(-10). What is z rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 70 - ((-15 + 36 - 18) + -19)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -6. What is the smallest common multiple of 20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 68254.\nAnswer: 887302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 34. Let z be t(-16). Solve -z*h + 11 = 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x - 20*x + 15 - 14 - 20*x to the form w*x + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*h - 683*h = 756*h - 12984 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l*n - 412*l - 16*n - 81 wrt l?\nAnswer: n - 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5709 divided by 1\nAnswer: 5709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/15)*f*f*f**(3\/5))\/(f**(-1)*f)**36 assuming f is positive.\nAnswer: f**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-217)\/(-496))\/((-18)\/(72\/(-35))).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 2*b + 13 + 2*b - 5*b. Let n(o) = -4*o**3 - o**2 + 2. Let h be n(-1). Suppose 2*y = -y - h*y. What is c(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 7*b + 11*b)*(0*b + 2*b - 3*b)*(-3 - 3 + 5).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 11*k - 1. Determine t(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 2 + 4 + 1 - 17\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bybbzrbe. Give prob of sequence yr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 105. Let y(s) = s - 123. Determine -6*m(x) - 5*y(x).\nAnswer: -5*x - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -16*q**6\/15 - 29*q**2\/2 - 55*q. What is the derivative of i(c) wrt c?\nAnswer: -128*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, d: 5, f: 2, w: 1}. What is prob of picking 1 d, 1 i, 1 w, and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -186328 (base 10) to base 2\nAnswer: -101101011111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -4*x - 15. Solve -x = -5*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*z)*(-2 - z**2 + 2) + z - z**2 - 2*z**3 - z.\nAnswer: -4*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24768095, 24768096, 24768091, 24768074, 24768039?\n\"Answer: -r**3 + 3*r**2 - r + 24768094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2116*f**3 - 1214*f?\nAnswer: 12696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*n**2 + 605*n wrt n?\nAnswer: -404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 702227 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/60 + k**4\/4 + 2*k**3\/3 + k**2. Suppose 0 = -11*j + 56 - 111. Let a be l(j). Which is bigger: a or -1\/54?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -180. Let w = d + 152. Suppose -4*q + 2*c + 70 = 0, -2*c + 0*c + 74 = 5*q. What is the remainder when w is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38159\/48 + 2369\/3. Suppose c + c = -716. Find the common denominator of 2\/6 - c\/(-48) and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -32. Let k = -727\/6 - -243\/2. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236768.37 - -0.1\nAnswer: 236768.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -936 - -935.91. Put -4, a, 16 in descending order.\nAnswer: 16, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*f**6*h**2 + 5*f**4*h**2 - 11*f**2*h - 7*h**2 wrt f?\nAnswer: 6960*f**3*h**2 + 120*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2328883 and -0.013.\nAnswer: 2328882.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2519*p. Let z(w) = 234849*w**2. Give z(x(d)).\nAnswer: 1490201685489*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 282026408166 + -957479647295511\/3395. Let f = w + -31637\/194. Let v = f - 11631\/5. Calculate the common denominator of v and 89\/130.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**3 - 18*x**3 + 5 - 5.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -65, -0.1, -1\/3, 2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2200) + sqrt(2200) + sqrt(2200) + sqrt(2200) + sqrt(2200)*3)\/sqrt(2).\nAnswer: 5 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 7*q**4\/2 - q**2\/2 - q + 1. Suppose 0 = d + 179 - 6. Let f = 172 + d. Determine t(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:15 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 48. Let g(v) = 21*v + 7. What is the units digit of g(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 133*w + 3792. Let n be s(-42). Let o be ((-12)\/10)\/((-6)\/20). Suppose b = -o, -2*b = -5*j - 71 - 71. Is j equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5848, 5536, 5226, 4918, 4612?\n\"Answer: d**2 - 315*d + 6162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-6)\/(-8) + -1). Let o(a) = 7 - t*a - 7. Let f(y) = -3*y + 4. Let i(d) = 13*d - 12. Let n(w) = -3*f(w) - i(w). Calculate o(n(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72818 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d (base 14) to base 8.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.02672, -60?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**6\/40 - v**5\/10 - v**4\/8 + v**3 - 47*v**2\/2 - 13*v. Let l(s) be the first derivative of p(s). Factor l(t).\nAnswer: 3*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251550 + 23459*v**2 + 251550.\nAnswer: 23459*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -93. Suppose d*o - 531 = 5*j - 2*j, 0 = 3*j + 15. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*d + 14, 2*w - 3*d + 0*d = -9. Let y(j) = -j - 3. Calculate y(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 30*u**3 + 4*u + 4. Let p be l(5). Let i = -41467\/11 + p. What is the common denominator of 89\/10 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105746, -4, 0.5, -2\/5 in descending order.\nAnswer: 105746, 0.5, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3466 and 10.7.\nAnswer: -14.40862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3206 is divided by 3109?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 645 + -357. Suppose 0 = g - 4*g + s. Let c = g + -29. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Suppose i - k = 4. Suppose -196 = -20*z + 6*z. What is the lowest common multiple of z and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*a - 10*a. Suppose -4*i - 138 = -2*r, -i - 144 = r - a*r. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + a + 4. Let v be z(0). Let w = v + -2. Solve 3*p = 2*y + 14, p + 0*y - 2 = -w*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1347 = 5*u + 1812, 0 = 5*u + 10. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -1. Let b(g) = -g**2 - 4*g + 6. Calculate b(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 8*i**2 + i + 2. Let k be p(8). Suppose -2*t + k = g, 0*g = 4*g - 2*t - 10. Is (-18)\/g*12\/(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 99 + 116)*(0*o**5 + o**5 + o**5).\nAnswer: 100*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1103 - -1220. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a microgram in nanograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18961*r**2\/5 + 3*r = 0. Calculate r.\nAnswer: 0, 15\/18961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4699 - 115 = 5*f + 3*c, 0 = f - 3*c - 906. Is f a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5) - (-31)\/5. Suppose -3*w - o - 9 = 0. Let p(x) = 2*x**2 + 6*x - 4. Determine p(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62232.167 - 70324.\nAnswer: -132556.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 2*p**2 + 62*p - 1120. What is the tens digit of c(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*3*sqrt(78) - sqrt(78))\/sqrt(6))**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2. Let c(n) = n**3 + n**2 - n - 1. Let o be c(-4). Let l(k) = 5*k - 4. Let m(h) = 54*h - 45. Let s(z) = o*l(z) + 4*m(z). What is q(s(r))?\nAnswer: -324*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/(-10) + -12 + 463220\/50?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2. Let y(c) = -29283*c**2. Determine y(z(f)).\nAnswer: -468528*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 105*p - 2*p**2 + 105*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -892 + 4*o + 2082 + 2*o**2 - 1044 as a + v*o**2 + q*o and give a.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 112933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -223*n - 232. Let a(p) = 74*p + 78. Let t(m) = 8*a(m) + 3*l(m). Differentiate t(w) with respect to w.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33567 and 3149.\nAnswer: 1577649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-11 - 19) + 14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 224*m**4 - 178*m**3 + 296463 wrt m.\nAnswer: 896*m**3 - 534*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 6 - -24) + -10 + (-13 - (1 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by 469605.\nAnswer: -29\/156535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 808622639, 808622638, 808622637?\n\"Answer: -p + 808622640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 109 + 101 = 0. Let h(f) = 2*f - 10. Let w(b) = 3*b - 16. Let k(l) = -10*h(l) + 6*w(l). What is k(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 91126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 39, 63, 105, 171, 267, 399?\n\"Answer: l**3 + 5*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36959\/2, -2\/13, 1\/5 in descending order.\nAnswer: 36959\/2, 1\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 56*m - 544. Let p be z(11). What is the greatest common factor of p and 882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546.686 millimeters in nanometers?\nAnswer: 1546686000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4 - -1)*3. Suppose -i*w + g + 9 = -2*g, -5*g - 3 = w. Suppose -w = -2*f + 6. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + 2*q, -7*q + 0*q = -3*c + 10*q + 11 - 33 - 26 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 30 = 5*m + 3*r, 2*m + 2*r - 4 = 0. What is the smallest value in -3\/2, 0.1, 36, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/6 - 5477*c**3\/6 - 1246696*c**2 + 8771658*c.\nAnswer: -c*(c - 7)*(c + 2742)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 16 = 2*m, 5 = -2*q - 2*m + 1. Let w = -1 - q. Suppose -3*g = 2*h + 10, -2*g + 3*h + 7 = -8. Solve g*j = -j + w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150904995?\nAnswer: 3, 5, 271, 37123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147*b**3*m**3*r**3 + 27*b**3*r**3 + b**3*r**2 - 4*b**2*m**2*r**2 wrt m.\nAnswer: 882*b**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Suppose -z*t + 4*t = 30. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 0.77. Let u = w + -2.87. Which is the third smallest value? (a) u (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u**3 - 40*u**3 + 124*u**3 - 50*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 215 - 31344?\nAnswer: -3112b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 5, -0.3, -1, -1\/3, -933027, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15075065.690999933 + 15075065.6. Let x = -0.091 - y. What is x rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.21116158 to 1 dp.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 9*b - 2*b. Let u(h) be the second derivative of -1\/30*h**6 + 2*h + 3\/2*h**2 + 0 + 0*h**4 + 0*h**3 + b*h**5. Find the first derivative of u(z) wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*1 + 1 + 5)**2.\nAnswer: 84*sqrt(13) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20567812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.61 - -0.31. Let r = -2\/17 + 40\/51. Sort d, r, 5 in descending order.\nAnswer: 5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Is 9 a factor of v\/(-4 - 152\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 0.5, -23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2163*k - 209827. Determine t(-97).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrpic. Give prob of picking 1 c, 1 r, 1 i, and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 7:24 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o*y**3 - o*y**2 + o*y + 7*o - 863*y**3 + 52*y**2 - 40 wrt y?\nAnswer: -12*o*y - 2*o - 5178*y + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a factor of 2607446386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (-1)\/((-2)\/4). Suppose 0*m + 80 = t - q*m, -t - 4*m = -64. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-34)\/6)\/((-2)\/(-6)). Let u = 23 + i. Solve c - d - 1 = -u, -c + 1 = 5*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2 + 24561*u + 24558 = 0.\nAnswer: -8186, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-924)\/315 - 4\/10)\/(7120\/(-275544)).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 > 740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/(-8) + 5\/20. Let s(w) = w**2 + 6*w. Let n be s(b). Suppose -3*d + 116 + 34 = n. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + (68948\/(-2156) - (1 - 32)).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1845, 2165, 2705, 3471, 4469?\nAnswer: 5705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 - d + 263. Is h(11) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0*w + 0 + 0*w**3 + 1\/15*w**5 - 2*w**2 - 3\/8*w**4. What is the second derivative of i(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96581714 to the nearest integer?\nAnswer: 9828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*(q\/(q*q**6*q))\/q)))\/(q**(1\/8)\/q))**(1\/7)\/((q**(1\/3))**(20\/11))**47 assuming q is positive.\nAnswer: q**(-7751\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4326*w**2 + 1387*w wrt w?\nAnswer: 8652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 2*j + j + (3 + 4 + 0)*(6 + 1 + 1)*(j - 3 - j + 2*j) in the form n*j + w and give w.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1530287.\nAnswer: 612114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1494\/(-1162) - (-44)\/28. Factor l*b**2 + 0 - 12\/7*b.\nAnswer: 2*b*(b - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2488*c + 6123. Let h(k) = -4984*k + 12242. Let w(q) = 6*h(q) - 13*s(q). What is the first derivative of w(v) wrt v?\nAnswer: 2440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 336 = -17*i - n, -378 = -i - 6*n. Solve 0 = -318*x + i*x + 192 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241.637 millilitres to litres.\nAnswer: 0.241637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 26*m**2 + 17*m + 15. What is the tens digit of t(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -603, -1976, -4645, -9042?\nAnswer: -15599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 17*c**2 - 7*c - 14. Let w(b) = -5*b**2 + 2*b + 4. Let i(j) = 6*p(j) + 21*w(j). Let f(n) = -4*n**2 - 5*n**2 + n**2. Give f(i(g)).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (30978\/10)\/3 - 180\/300?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -816640 divided by 872\nAnswer: -102080\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 40*m - 460. Suppose -m*h + 61095 = -15*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 161\/6*t**3 - 7\/20*t**6 + 0 + 0*t**4 + 0*t**5 + 0*t - 134*t**2. What is the first derivative of w(c) wrt c?\nAnswer: -126*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, and 2 m when four letters picked without replacement from {n: 4, f: 2, v: 1, g: 4, o: 4, m: 4}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*v - 211 - 294, -3*b = 5*v - 511. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**6)\/p*p\/p**(3\/2))**(-46)*((p**(-2))**9)**(3\/4) assuming p is positive.\nAnswer: p**(-533\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a kilometer in meters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23\/124 - 2\/31. Let x be (-20)\/(-8)*16\/10. Suppose 0*v = -x*v - 4. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 238*g - 3371. Determine j(14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63512081 divided by -5?\nAnswer: -63512081\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -3, -2\/5, -21\/5 in ascending order.\nAnswer: -21\/5, -3, -2\/5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 - -196. Let v(i) = -i**3 + 3*i**2 + 2*i - 4. Let w be v(3). Solve -4 = -w*n - l*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 5:42 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3\/5 - 22*n**2\/5 + 12*n\/5.\nAnswer: 2*n*(n - 3)*(3*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 0, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1.83, -9, -2, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 13, 2, 19.9, -2\/21 in descending order.\nAnswer: 19.9, 13, 2, -2\/21, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 8:30 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/18*(-32)\/(-1056).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.68043 plus -987798?\nAnswer: -987802.68043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -403.43518 + 0.059?\nAnswer: -403.37618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from {w: 1, t: 4, s: 2, l: 4, v: 2, d: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 0.9915.\nAnswer: 1.4915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*l**3 + 11*l**3 + 18*l**3)*(-2 + 3*l + 1 - l) as b + r*l**2 + k*l**4 + s*l**3 + j*l and give k.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(2) + 0) + (sqrt(4)\/sqrt(2) + 1)*2 + (sqrt(24)*2)\/(sqrt(75)*2).\nAnswer: 2*sqrt(2)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 23. Which is greater: -9\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (7 - 5 - -1) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4846 - -4873. Solve 7*i + q = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 2*a**4)*(2 - a - 2) + 3*a**5 - 4*a**5 + 5*a**5.\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 766*b**2 - 16832*b - 119. Give j(22).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18)\/(((-770)\/99)\/10).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 24, 34, 56, 96, 160, 254, 384?\n\"Answer: k**3 - 3*k**2 + 6*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23023535 (base 6) in base 10?\nAnswer: 703283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + -3 + sqrt(175) + 0.\nAnswer: -3 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 8, a: 1, i: 2, t: 3, n: 5}. Give prob of sequence ta.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 123, 271, 551, 1005, 1675?\nAnswer: 2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 9*c**2\/4 - 5*c\/2 + 3\/4.\nAnswer: (c - 3)*(c + 1)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 - 5*i - 3*i + 8*i.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107703 and 486.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - 32. Let k = -33 - x. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 8 = 0. Let u = 0 + b. What is the lowest common multiple of u and 2\/(-8) + (-225)\/(-20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*i - 60 = 7*i, -5*t = i - 80. Solve 140*a - 137*a = t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/11, -4, -0.6 in ascending order.\nAnswer: -4, -3, -0.6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 316824501 to the power of 1\/3, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74490?\nAnswer: 2, 3, 5, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Suppose -t*a + 55 = 3*m, 2*m = 3*m + 4*a - 13. Suppose -1 + m = g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, s: 2, g: 2, x: 1}. Give prob of sequence cc.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726950217.\nAnswer: 41, 101, 417037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3418*q - 2*n - 50 = 3425*q, 2*n - 16 = 4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -764.1 - 230466.\nAnswer: -231230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52821 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2484048.\nAnswer: 2, 3, 7, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712908 <= 2712909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 6. Let t be i(-5). Is -8*10*t\/8 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 72\/(-15))\/(15\/375)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515494102 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n**3 - 34576*n**2 + 47186632*n + 31473120 = 0 for n.\nAnswer: -6902, -2\/3, 1140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 837423*l**3 + 874456*l**2 wrt l.\nAnswer: 5024538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13937 is divided by 263.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 14. Let p(z) = -z**3 + 2*z**2 + 3*z - 4. Let w be p(o). What is the least common multiple of -4*4\/w*15 and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9854.104 kilometers?\nAnswer: 985410400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + 4*y - 1. Let c = 11 - 15. Let q be v(c). Does 6 divide (-1)\/2 + q\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9467 - -0.0353. What is j rounded to two decimal places?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 6757 in decreasing order.\nAnswer: 6757, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410258 is divided by 205119?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-140))\/((-8)\/((-224)\/(-21)))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (1 - 3) + -16. Let b = -22 - l. Let r(x) = -3*x - 5. Give r(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 3. Let b(m) = -2*m + 4. Let k(w) = -w**3 - 6*w**2 - 3*w + 12. Let v be k(-5). Let f(a) = v*b(a) - 3*s(a). Determine f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = a + a - 634, m - 311 = -a. Let p = a - 3457\/11. What is the common denominator of p and 61\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/3)\/1*24\/(-10). Suppose -r = -5*h - 3*h. Let q(w) = -w**3 - 4*w**2 + w + 8. What is the least common multiple of h and q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30231215, -30231216, -30231217, -30231218?\n\"Answer: -q - 30231214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.3 - 7. Let f = g + -0.25. Let u = -0.95 - f. Which is the nearest to -1? (a) -5 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/7 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 131 (b) 5 (c) 6\/77 (d) 4 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1072656 and -203\/105300.\nAnswer: 80449200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2836856 and 46098910?\nAnswer: 184395640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, e: 5, s: 1, h: 1, z: 4}. What is prob of sequence hez?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 20, 7*b = 2*b - 3*x + 12. Suppose 2*v - 12 = -b*v. Let k be 16\/v*6\/(-28). Is 2\/7 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7855071 is divided by 872782.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 6893?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -91, -0.42, 5\/33?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 6457570?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-148)\/(-12)*(-3 + 0)\/(-1). Let u = l - 33. Suppose -u*h = -20, -2*q + 5*h - 1247 + 6908 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18427, -18432, -18439, -18448?\n\"Answer: -l**2 - 2*l - 18424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20265.\nAnswer: 3, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r**5 + 159935*r**4 + 17455*r**3 - 1119275*r**2 + 835220*r + 106620 = 0. Calculate r.\nAnswer: -3554, -3, -1\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1730 (base 9) to base 11\nAnswer: aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46678.57 rounded to the nearest ten?\nAnswer: -46680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2*r*r)\/(r*r**(-1\/25)) assuming r is positive.\nAnswer: r**(101\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 9, h: 6, v: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151 + -46. Let l = s - -513. Let f = -325 + l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402 * -1058\nAnswer: -425316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 73 - 2*b - 14 - 78 + 4*b.\nAnswer: 2*b - 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(42)\/(2*sqrt(6)) + sqrt(7) - -6*-1*sqrt(7) - sqrt(42)\/(sqrt(6) - sqrt(864)*1)*-2)**2.\nAnswer: 73779\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 218, 437, 656?\n\"Answer: 219*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*n**4 - 223443*n**3 + 897486*n**2 - 915444*n + 25080 = 0. Calculate n.\nAnswer: 2\/71, 2, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6822 - -6838. Solve -12*b + u = 88 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r. Let y(j) = -107*j**2. What is y(t(g))?\nAnswer: -428*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 2, r: 10}. Give prob of sequence nn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6202, 618.\nAnswer: -6202, -5, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10204303 - -3?\nAnswer: 10204311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1272 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 7 (c) 334 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 4*t - 4*r - 29, 5*t + r = 203. Suppose -d + t = -57. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 246505108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12660261?\nAnswer: 3, 523, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 3*q**2 + 4*q + 2. Calculate the remainder when 2 is divided by k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-426)\/4*(-16)\/24 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4 + 129*u - 60*u - 68*u. Determine a(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5292\/231)\/63)\/(5\/(55\/6))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 817*x. Let m(h) = -53*h**2. Determine n(m(v)).\nAnswer: -43301*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -117\/5. Which is the closest to 2\/5? (a) -5 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w - 5*w - 2*w**4 + (-w**2 + 2 - 2)*(2*w**2 - w**2 - 2*w**2) - 2*w**4 + w**3 - w**3 + 0*w**4 + 3*w**4 - 6*w**4.\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x**2 + 2*x - 2*x)*(-4 + 4 - 2) - 353*x**2 + 111*x**2 - 120*x**2)*(5*x - 11 + 11).\nAnswer: -1820*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2170)\/(-78) + 2\/3. Let d = -85\/3 + j. Let z = 4 + -4.5. What is the closest to -1 in z, 3, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2486084 divided by 1243042\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6206539261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2888256 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212 and 186.\nAnswer: 19716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by -3.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 820826, 820828, 820830, 820832?\n\"Answer: 2*f + 820824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*b + 1706*b + 93936 = 279*b for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -7. Let b be (-21)\/(-2) + 3\/6. Calculate the greatest common factor of z and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 656.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 1446 = -2*a + 1522. What is the remainder when a is divided by 205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 9, p: 2, y: 7}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1 - 6 - 1 + 110*x**2.\nAnswer: 110*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68167281 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2323020 (base 4) to base 7\nAnswer: 46626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2531*b - 2437*b + 6646*b + 6777*b + 13206*b)*(-4*b**2 + 0*b**2 + 5*b**2) + 2*b - 2*b + b**3 as g*b + x*b**3 + c*b**2 + n and give x.\nAnswer: 21662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) 16 (c) 144.26 (d) 0 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*x**3 + 1128*x**3 - 553*x**3.\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556093 is divided by 69455?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.295 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 + 60*b**4 - 204*b**3 - 1488*b**2 + 2496*b + 8448 = 0 for b.\nAnswer: -22, -4, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -53\/6*v**3 + 0 + 0*v**2 + 0*v**4 - 12\/5*v**5 - 55*v. Find the second derivative of l(f) wrt f.\nAnswer: -288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, -9, 1378 in ascending order.\nAnswer: -277, -9, 1378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3007 + -3176. Which is greater: -170 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 28 = -5*s - h, -s - 5*h + 24 = 0. Suppose 88 = 4*g + s*i, -21 = -5*g - 4*i + 92. What is the remainder when g is divided by 156\/10 + 8\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 834, -5, -2, -1 in descending order.\nAnswer: 834, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -5, -18, -33, -50, -69, -90?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*k**3 + 7*k**2 - 11653*k + 251744964 wrt k.\nAnswer: 303*k**2 + 14*k - 11653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2273808.\nAnswer: 2, 3, 127, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -188*k + 471 + 406. Let d(v) = v + 1. Let g(l) = l**2 + 4*l + 39. What is k*d(w) - g(w)?\nAnswer: -w**2 + w - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*3*-3 + sqrt(1100)*1*-2 + 2)*5)**2.\nAnswer: -11000*sqrt(11) + 3327600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2742 + 2681 + (1 - -144).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18268487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160114074.\nAnswer: 2, 107, 1453, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**3 - c**2 + 2*c + 2. Let o(i) = 11*i**3 - 3*i**2 + 5*i + 5. Let z(n) = 3*n**2 + 10*n + 8. Let m be z(-3). Give m*g(l) - 2*o(l).\nAnswer: 3*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2878185084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33925.\nAnswer: 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 64910300 * -6\nAnswer: -389461800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 3}. What is prob of picking 2 o and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 5*t - 6*t**2 + 1 - 1 + 2*t**2 + (4*t + t - 4*t)*(-t + 4*t - t) to h*t + l + s*t**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*h + 1424 = -5177, -6596 = -4*l - 4*h. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 15*z**2 + 14*z + 3. Let j be x(14). Find the first derivative of -9*r**j - 72 - 83 + 148 wrt r.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 917295+-1899487\nAnswer: -982192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 25 = r, r - 58 = -r - 4*j. Suppose 0 = -5*a + 7*a - 8. Suppose 10 = g - 0*g - 2*s, -12 = a*s. Solve 0 = -3*o + 3*w + r, 2*w = g*o - 3*w - 33 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*a**4 + 6*a**2 - a + 11*a**4 - 5*a - 12*a**4 + 7*a to the form p*a + l*a**2 + h + w*a**4 + u*a**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 562, 2149, 4738, 8335, 12946?\nAnswer: 18577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**(-4))\/z)\/(z\/z**(-3)))**(10\/11)\/((z**(-2\/7))**44*z**(-4)*(z\/(z*z**1))\/z) assuming z is positive.\nAnswer: z**(1010\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, -1, 1, 19 in ascending order.\nAnswer: -13, -4, -1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {n: 1, v: 18}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -51935114 <= 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -1\/2*n**2 + 0*n + 3. Let j(z) = 2*z**2. Determine j(w(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.9831 + -3.6831. Which is the third smallest value? (a) -11\/4 (b) 1 (c) -1\/5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 10*o - 11. Determine f(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2. Let x(z) = 2526*z - 65. Let o(r) = -7577*r + 208. Let m(v) = -5*o(v) - 16*x(v). Calculate c(m(w)).\nAnswer: 12811922*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -496002 + -4?\nAnswer: -496006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -4, -1872787 in descending order.\nAnswer: 0, -2, -4, -1872787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:18 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 0.01 (c) -4\/5 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10273263 by 1001.\nAnswer: 10263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -56. Let s be -6 + g\/(-6)*14\/(-35). Put -13, s, -1 in descending order.\nAnswer: -1, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 389190613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 570*i**3 - 14*i**2 + 24*i - 7. Is u(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:07 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**2*t**2 + 46*q**2 + 8*q*t**2 - q + 8*t**2 wrt q.\nAnswer: -4*t**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 61df - 1467?\nAnswer: 4d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -267262 (c) -3 (d) 5 (e) -2\/7 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 17*b**3 - 156*b + 296. Give c(2).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-5246)\/(-8) + 276\/(-368) and 2227.\nAnswer: 11135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2073.\nAnswer: -5\/2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 10. List the prime factors of ((-4)\/(-10))\/(s\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2745, 19124, 62539, 146508, 284549, 490180, 776919, 1158284?\n\"Answer: 2253*p**3 + 608*p - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 = -6. Suppose 2*j - l = 4*j. Let a = 1061\/5 - 213. Is j < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -11. Let y be 18\/(-27)*(-6)\/c. Let h(s) = -9*s + 0*s**2 + 9*s - 4*s**y. Let f(z) = -4*z**2. Determine f(h(x)).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c8 + -d0?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f**3 + 537*f**2 - 936*f - 188 = 0 for f.\nAnswer: -2\/11, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45402\/5 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7855157*u**3 - 3220724*u**2?\nAnswer: 47130942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/328970 and -2\/4835859.\nAnswer: 48358590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60930*u**3 + 50416*u**2.\nAnswer: -365580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1849 + -1856. Let w(f) = 2*f - 10. Calculate w(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0*w**2 + w**2 - 81*w**3 + 46*w**3 - 1. Let k be x(1). Are -36 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3050)\/(-915))\/((-2)\/(-6)*2). Suppose 0 = -o + c*o + 3*w - 118296, -5*o = 4*w - 147869. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (6 - 9 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -105*j**3 + 2*j**2 - 1. Let w be m(-1). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/110 and 27\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + sqrt(75) - (-1 + -2 + sqrt(75)))**2 - (-3*sqrt(75) + -4 + ((-3 + sqrt(75) + -1)**2 - sqrt(75))).\nAnswer: -38 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1431209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 110*p - 487 = 188. Solve -3*c - p = -3*u, 0*c - 5*c + 12 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -472 + 480.32. Let k = 7.7 - u. Round k to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 473717 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*m + 6. Suppose -p = -m*p. Suppose p = 4*h - 53 - 3. What is the greatest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 132*d - 15552. Give c(118).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.48 - -17. Let g = b - 0.02. Sort g, 5, -4\/3 in decreasing order.\nAnswer: 5, g, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 236 + -49?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7981 and 9.\nAnswer: 71829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 51*u + u - 11*u to i*u + j and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by 34.\nAnswer: -89\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n + 169 - 118 - n. Is 15 a factor of a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 606401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 16\/(-9) + 4. Which is the second smallest value? (a) -2 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 106*t + 29\/3*t**3 + 0 - 45\/2*t**2. Differentiate w(m) with respect to m.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**3 - 3*s**2 + 3*s + 14. Let j(r) = -r**3 - r**2 + r + 1. Let i(h) = -h**3 - 18*h**2 - 64*h + 10. Let u be i(-13). Give u*j(o) + g(o).\nAnswer: -2*o**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.122? (a) -21 (b) 35 (c) -49\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1207*a**2 + 1207*a**2 + 42*a - 5*a**3 - 6*a in the form z*a**2 + u*a + j + o*a**3 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 193475171*q - 700504321.\nAnswer: 193475171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93439445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0109193 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-4\/11)*s)\/s)\/s)\/(s**(-3)\/s))\/((s**(-1\/3)*s)\/s)**(-33) assuming s is positive.\nAnswer: s**(-92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1567627*v**2 - 11*v + 3452 wrt v?\nAnswer: 3135254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 55*v**2 - 363*v + 7914. What is j(59)?\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013906395 rounded to seven decimal places?\nAnswer: -0.0001391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1794 and -21\/806104.\nAnswer: 2418312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5*b**2 + 2\/5*b**3 + 6\/5*b + 0 = 0. Calculate b.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a decade in months?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -7*y**3\/6 + 185*y + 1. Let c(s) = 94*s. Calculate c(n(z)).\nAnswer: -658*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6079800 and 2279925.\nAnswer: 18239400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-224895)\/(-35) + 40\/(-70)?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-3) + -13 - -4. Let l(r) = 3*r + 20. Let b be l(n). Suppose 1 = c, -2*o + 76 - 8 = b*c. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**2 + 160 + 4*h**2 + 4*h**5 - 100*h**3 - h**4 + 112*h**3 + 165*h**3 + 10*h + 0*h**2 wrt h.\nAnswer: 240*h**2 - 24*h + 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 40636395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + 4*(5*1*sqrt(1216) + sqrt(1216) + -3)).\nAnswer: -192*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 10*z + 140. Let b = z + -26. Suppose -11*s = -20*s + 135. Calculate the remainder when s is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-12 - -15)) + (30 - (-1 - -2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66984? (a) -2 (b) -0.1 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -2. Let a be 3*(0 - (-8)\/(-6)). Let z = a + 6. Calculate the remainder when f is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -38. Suppose -p = 5, -5*i + 5*p + 229 + 136 = n. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0 - 20*s**3 + 7*s**3 + 1. Let q(m) = -m**2 - 5*m - 1. Let r be q(-5). What is the remainder when 41 is divided by f(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + 3 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**3 + 735*t**2 + 11770*t + 20640 = 0?\nAnswer: -129, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*n**3 + c**3*n**2 + 27*c*n**4 - 2*n**4 - 2*n**2 - 69 wrt n?\nAnswer: -6*c**3 + 648*c*n - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - 15*n - 23 + 11*n**3 - 20 + 68 - 25 to the form c + h*n**2 + p*n**4 + r*n**3 + y*n and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/16)\/((-2)\/828). Let s = -354 - z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3870.88mm?\nAnswer: 0.00387088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 - 2*x + 1. Let d(u) be the first derivative of -u**2\/2 + 18*u + 5. Let i be d(13). Let l = 7 - i. Determine j(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10256446?\nAnswer: 2, 43, 239, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -1572, 0.7, -0.2, 1\/6 in decreasing order.\nAnswer: 0.7, 1\/6, -0.2, -3\/8, -1572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - h + 0*h)*(0 - 1 + 0) - 13*h - 2*h + 5*h + h + 0*h + 0*h)*(-75*h**2 + 10*h**2 - 71*h**2).\nAnswer: 1088*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2682*g**3*o - 28*g**2*o - 137*o wrt g.\nAnswer: 16092*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 3*i - 70. Calculate j(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268*n**5 + 2*n**3 - 227*n.\nAnswer: 5360*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 2*u. Let n(j) = 11*j**2 - 13*j + 20. Let t(a) = n(a) - 6*o(a). Factor t(f).\nAnswer: 5*(f - 4)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 1)*-4 - (sqrt(252) - (2*sqrt(252) - sqrt(252)))**2) + -6*(sqrt(7) + sqrt(56)\/(2*sqrt(8)))**2.\nAnswer: -197\/2 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552*h - 13 = -2*a - 551*h, 0 = 5*a - 4*h - 46. Suppose 3*i - 14 - 1 = 0. Solve -5*t - 2*n = -n - 7, -19 = -a*t + i*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i - 6. Suppose 0 = -2*w + 4*p + 18, 6*p - 3*p = -i*w + 54. Solve 5*k + w + 10 = 4*d, -d - 5 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 31, 1, 5 in decreasing order.\nAnswer: 31, 8, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1071189726 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5729)\/(-68) + 1 + (-5)\/4. List the prime factors of q - (18\/(-2))\/3.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100010 - -10?\nAnswer: -10110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47263291673*a - 5*a**2 + 5*a**2 - 2*a**3 - 47263291673*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.163 - 15.4. Let o = 0.18 + u. Is -1\/2 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 10. Let h(k) = 7*k - 2. Let b = -11 - -10. Let w be h(b). What is the tens digit of a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -a + 5*i - 0, -3*i - 13 = -a. Suppose -2*x = b - 173, a*x = 3*x - 2*b + 82. Calculate the highest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((152\/14)\/(-19))\/((-3)\/42). Sort -16, m, -9 in ascending order.\nAnswer: -16, -9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -189 (c) 3 (d) 0.01164\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose 16 = -4*t, 2*q - z*t = -0*q + 330. Suppose 0*d - 3*d = -q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3155*i - 608910. Determine w(-193).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y + 55. Let z(v) = v + 13. Let p be z(y). Suppose -a + p = a. Solve -2*t + a = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**6\/2 - 114*n**5\/5 + 51*n**4\/2 + 116*n**3 - 561*n**2\/2 + 222*n + 4731. What is k in m(k) = 0?\nAnswer: -2, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuusuuusuu. Give prob of picking 4 u.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-2*t + 0*t + 0*t) + 7 - 5*t - 7 - 2*t + 2*t + 2*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133584, 265011, 396444, 527883?\nAnswer: 659328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018408 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 1, -2, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18230921*w - 136801318 wrt w?\nAnswer: 18230921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3600 = -4*y, 3*y = -5*p + 107 + 3493. Calculate the highest common divisor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 3\/7, 564\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24325249*b**3*z + 4155*b**3 + 1847*b**2 wrt z.\nAnswer: -24325249*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**4 - 2901*i**3 - i**2 + 7*i + 450344 with respect to i.\nAnswer: 8*i**3 - 8703*i**2 - 2*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 v when three letters picked without replacement from {m: 2, u: 4, y: 4, v: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9 = -3*b, -4*g + 2 = -b - 1. Let a be 14\/(-4)*44\/(-77). Is a smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201800 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*(-1 + 0)*72\/378 and 46\/165?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4 and 77\/26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2105316, 2105350, 2105384?\nAnswer: 2105418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5148 divided by -39\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -0.03 (c) 1076 (d) 0.05 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 20, -5*m + 4*t = 1 - 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*z - 1478 = 187, -1359 = -4*i - 5*z. Suppose 53 = o - i. List the prime factors of o.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 * 0.151\nAnswer: 3.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 - 6 = 0. Suppose -b = -5*b + 8, 3*w = -5*b + 4. Is 617\/s - w\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(900)*6)\/(2*sqrt(12)*4 - sqrt(12)))**2.\nAnswer: 16200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1000930260 to the nearest one hundred thousand.\nAnswer: 1000900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1780 - -3009. List the prime factors of z.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 272644*y + 22325. Is x(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 8*i**2 - 6*i - 18. Let p be m(9). Let v be p - (-122)\/(-14) - (-12)\/154. Which is the smallest value? (a) v (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(1377))**2 + -5 + sqrt(1377) + 2 + (-1*sqrt(102)*-1 - sqrt(102))\/(sqrt(600)*-1).\nAnswer: -81*sqrt(17) + 1399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 27. Let w be (-1)\/a - 116\/(-8). Suppose -i + w = i. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7545864 less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 9, l: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 494*p - 160. Does 12 divide n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 16263*f + f**2 + 0*f**2 - 16253*f + f**2 + 2*f**2.\nAnswer: 2*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16429 + -8448. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 + -141.\nAnswer: -142.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {e: 9, j: 6, z: 4}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q**2 - 5*q**2 + 29*q**2)*(q**3 - 5*q**2 - 2 - 4*q**2 + 5*q**2) + q**4 + 2*q**5 - q**4.\nAnswer: 14*q**5 - 48*q**4 - 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = 2*y, 2*o + 2*y = 6*o. Let l be (-7 - (-2 - 2))*o. Let v(u) = -6 + 7 - 4 + 2*u. What is v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkknnhikknkkc. Give prob of picking 1 l and 1 i.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 36. Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139568 divided by 8\nAnswer: 17446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y + 119*y + 70*y + 360 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*m + 25, -4*m = -s - 0*s - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73944\/425 less than 173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 176*w**5 + 6*w**5 - 66*w**5 + (2 - 2 - w**5)*(-2 + 1 - 10).\nAnswer: 127*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**7\/14 - 7*w**3\/6 + 5*w**2. What is the first derivative of z(q) wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -a70?\nAnswer: a6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.15369245 and -21212600.\nAnswer: -21212599.84630755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -0.3. Let q = 1 + 1. Let x = q + m. Which is smaller: 2\/5 or x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -37*m**2 + 9*m. Let c(t) = -146*t**2 + 38*t. What is 9*a(x) - 2*c(x)?\nAnswer: -41*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1206989\/4400656 - -5\/21157. Find the common denominator of -53\/16 and t.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - 1 + 8*y**4 - 1 + 522*y**3 - 262*y**3 + 6*y - 258*y**3 to h*y**2 + o + q*y**4 + d*y**3 + a*y and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 19.\nAnswer: 53\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103493 is divided by 34386?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1*-6)\/(sqrt(750)\/sqrt(3)).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 13\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12058496 divided by 4.\nAnswer: 3014624","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -2 + (129 - 162 - -14)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 4, 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-60)\/(-630))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:10 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - 5*g**2 + 2*g + 3. Let h be s(-3). Suppose -3 = -i - h. What is the nearest to i in 0.5, 5\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 - 167. Let w = 172 + j. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 175 = x + 5*n, -x + 3*n = -19. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 429136938 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 2*w**2 - 7*w + 24. Determine z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109113732 - -170152677. Let k = 94838945 - o. What is k rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2566430409 or 0?\nAnswer: -2\/2566430409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjssisogsoosi. Give prob of sequence sii.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3766867\/120 - 31391. Calculate the common denominator of w and -133\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5\/7 + 9615*k**4\/7 - 7650624*k**3\/7 - 12299436*k**2 + 87410880*k + 6981292800\/7 = 0. What is k?\nAnswer: -10, 9, 1608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 7, b: 1, o: 3, w: 4}. Give prob of picking 1 i and 1 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 561125 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1 + 11. Let j = 24 + b. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 19*g + 8. What is the units digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Let c be 1\/(-5) - 1\/(-5). Find the first derivative of -4*y**2 - 1 + c + 0 + 6*y**o wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, g: 5, z: 1, u: 4}. Give prob of picking 3 u and 1 z.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 28*q**3 - q**2 - 3*q**2.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -70, 7, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 814, 4, -4, -3, 10 in ascending order.\nAnswer: -4, -3, 4, 10, 814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289468 is divided by 14472.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + (-9 - (-28 - -20)) - 4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3271484 meters?\nAnswer: 327148400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/50729 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 - 6.16. Let c = -5.5 - i. Sort 2\/5, c, 4\/3 in descending order.\nAnswer: 4\/3, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 27*g**2. Let m be -1*((-3)\/(-3) - 19). Let b(s) = 14*s - 31. Let f be b(3). Let j(d) = f + 7 - d - m. Determine y(j(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y - 126*y + 69*y + 2 - 305*y**2.\nAnswer: -305*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -165, -167, -169, -171, -173, -175?\n\"Answer: -2*y - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/702 and 2\/39?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -25*((-5)\/(-5))\/(-6 + 1). Suppose 2*b - 15 = -b, 5*w = b + 85. Let g = -3 + w. Calculate the greatest common divisor of k and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -729, 19, 767, 1515, 2263?\nAnswer: 3011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -36\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39711\/1103 greater than 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(180)\/(-2*sqrt(363) - sqrt(363)))\/(sqrt(12) - (2*sqrt(96))\/sqrt(8) - (-2*sqrt(132) - sqrt(132))\/sqrt(11)) + 4)**2.\nAnswer: -69701\/1452 + 4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/2 - 201*x**2\/2 - 1632*x + 1734.\nAnswer: -3*(x - 1)*(x + 34)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b + 3*v = 192, 0 = 5*b + 5*v - 240. Suppose -4*k = -4*y + 40, -5*k + 9*y = 6*y + b. Let h(s) = s**3 + 10*s**2 + 8*s - 9. Give h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5 + 93*g**4\/4 - 117*g**3\/4 - 87*g**2\/4 + 213*g\/4 - 45\/2 = 0.\nAnswer: -5\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*l = -327, -5*r + 0*r = 2*l + 517. Let j be (-54)\/(-14) + (-15)\/r. What is n in -9*n**4 + j*n - n + 6*n**3 + 3*n**5 - 3*n = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypyypypbpybbjc. Give prob of sequence ybb.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -28650\/61027 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-3 + -1 - -21). Suppose -y = -8*y + l. Find the third derivative of -40*j**3 + 5*j**y - 2*j**4 + 40*j**3 wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4833976864 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*n**3 - 42634 + 21354 + 21335 to the form w*n + l*n**2 + k*n**3 + f and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 164*a**2 + 316*a + 156.\nAnswer: 4*(a + 1)**2*(a + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c - 6. Let b = 31 + 47. Suppose -4*a + b = -17*a. Let p(q) = q + 1. What is a*p(d) - s(d)?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 42*p - 211 + p**3 - 27\/2*p**2. Suppose g(s) = 0. Calculate s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.7047 * -0.1\nAnswer: 0.47047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*d**4 - 3*d**2 - 65.\nAnswer: -44*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.8 + -16. Which is the nearest to -1? (a) 7 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*g - 40 = 0, 5*f - 2*g - 76 = f. Calculate the smallest common multiple of 42 and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 195*l\/2 - 8384.\nAnswer: -(l + 128)*(l + 262)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3*m + 30*l**3 - 3*l**2*m + 318*l*m - 3*l wrt l?\nAnswer: 12*l*m + 180*l - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*t = -6058, -10*t = 3*f - 7*t - 6066. Calculate the remainder when f is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 40 + -11 - (-86 - -106).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242930 - 72879083\/300. Find the common denominator of -7\/10 and n.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7 = 4*g, -4*h + 5*g + 11 = 2*g. Suppose 5*y - h = 5*b, -y - 4*b - 5 = -1. Factor y - 1\/5*d**3 + 4\/5*d**2 - 4\/5*d.\nAnswer: -d*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 16. Suppose -9*q + 37 = -8*q. Let r = b + q. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -25*k + 8. Let r be h(-3). Let o = -34 + -19. Let g = o + r. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 + -148. Suppose h*q + 4*l - 171 = 0, 0*q + l + 171 = 3*q. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 218916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 48*v**3 + v**2 - 1. Give c(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5.91 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196*0.088.\nAnswer: 17.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174028 + 1790 = 3062*x + 36956 + 155184 for x.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -254 + 254 - 5*s - 318*s + 227*s - 457*s - s - 5*s + 5*s + (-1 - 2 + 1)*(-2*s - 2*s + 5*s).\nAnswer: -556*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 5*i - 3*i)*(-24*i**2 - 10*i**2 + 9*i**2) + (i**3 - 4*i**2 + 4*i**2)*(0 + 4 - 6) to w*i**3 + h*i + l*i**2 + n and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33957 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -4, 1, 26919 in ascending order.\nAnswer: -6, -4, -1, 1, 26919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366023481 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*j - 33, -2*y = 3*y - 3*j - 105. Which is smaller: 15 or y?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(-63)\/49?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 200330820 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/158 and -77\/16?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/107968 and 11\/1928.\nAnswer: 107968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -503*z**3 + 3*z**2 - 1165*z - 26820676 wrt z?\nAnswer: -1509*z**2 + 6*z - 1165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**4. Let v(k) = -5*k**4 + 6*k**3. Let f(j) = 2*s(j) - v(j). Suppose f(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 28*f = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0486 - -607.9514. Let w = -619 + v. Let i = 1.3 + -1. Which is the nearest to w? (a) -1 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48*18\/(-81)*12\/112?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*l - 5*l. Suppose -5*y + l*k = -49, -k - 53 = -8*y + 3*y. Let s = -15 - -21. Calculate the smallest common multiple of y and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -1 (b) -3\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t**2 + 5*t + 1. Let m be g(2). Suppose -14 + 30 = -4*z. Which is the nearest to 1\/4? (a) z (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*y - 1 + 10)*((-1 + 1 + 2*y)*(0 - 2 + 1) - 3*y - 2*y + 4*y - 4*y - y + 4*y + 4*y - 6*y + 4*y + 10*y + 5*y - 4*y) to d*y**2 + o + u*y and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 6*b**2 + 7*b - 5. Let p be i(5). Let v be (3 - 3) + 25 + 1. Suppose 0 = 3*r - 8 + v. Sort r, p, 0.\nAnswer: r, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 25 = 5*x, t + 5*x = 2*t - 25. Suppose 2*k + 0*k + 14 = t. Let h be (-4)\/8*-2*1. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121891 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 38076986 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*k**3 - 1557*k - 1555*k - 1552*k + 18*k**2 + 4661*k as h*k + s*k**2 + f + y*k**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 9778 - 9778.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639531 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/418 - 32\/(-247)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.059 and 94.84?\nAnswer: 764.31556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690571.\nAnswer: 7, 47, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 0 - 4*s + 5 - 9 + 1. Let m be -4*(1*-3 + 2). Let w(y) = -m - 3*y + 6 - 4. Determine 4*c(o) - 5*w(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2117.000011904 - 2117. What is f rounded to 7 dps?\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4226*n - 52*n**3 - 4226*n.\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4 + 0 - r - r - 4*r**2 - r**3. What is the units digit of x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2\/33*m**3 - 4\/11*m**2 + 11 - 8\/11*m. Factor c(v).\nAnswer: -2*(v + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898.4972 centuries to months.\nAnswer: 1078196.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 439296506?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 at most as big as 67949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -19*v**3 - 54*v**2 + 131*v - 264. Let t(n) = 7*n**3 + 18*n**2 - 44*n + 88. Let b(i) = 4*m(i) + 11*t(i). What are the prime factors of b(16)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2304 (base 8) to base 14\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 2\/7, -0.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -1\/5, 1, -2\/3, 4\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -1531, -1, -4 in ascending order.\nAnswer: -1531, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3737\/1330 - -52\/95. Let p = 159 + -311\/2. Let k = g - p. Is k at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522230541 (base 6) in base 12?\nAnswer: -64b5451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 6. Let x(v) = v**2 + v - 1. Let l(z) = -m(z) + x(z). Calculate the remainder when 7 is divided by l(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/5 (b) -1\/313 (c) -2 (d) -0.4 (e) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2)*1*26*(-13)\/2197. Sort -5, 3, -2\/7, k, 2 in decreasing order.\nAnswer: 3, 2, -2\/7, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - k = -3, -6 + 4 = -2*m + 4*k. Let y(x) be the second derivative of -9*x**5\/20 - 3622*x. Determine y(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (69\/(-9))\/((-18)\/(-108)). Let l be 8\/n*(-48)\/32. Find a, given that -6\/23*a**2 + 0 + 10\/23*a**3 - 8\/23*a**5 + l*a**4 - 2\/23*a = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2810 + 7498. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/3 - 76*l**3\/3 + 144*l**2 + 73*l. Factor j(z).\nAnswer: 4*(z - 36)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-4)\/(-144)*12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.4411 rounded to 0 decimal places?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111000000001 (base 2) to base 5.\nAnswer: 1232230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + 0 - (-15 - -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20. Let d(z) = 6*z + 99. Let r(a) = -2*d(a) - 11*u(a). Give r(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2244 and 313236?\nAnswer: 5325012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**4\/4 - m**3\/3 + 2*m - 1. Let i be 3*((-24)\/9 - -2). Determine c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 864775*n - 3459020.\nAnswer: -5*(n - 172951)*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1823146139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 487659281 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3877735.\nAnswer: 5, 29, 47, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2950 = 3*j, 4*j - 9*t + 8*t - 3955 = 0. What are the prime factors of j?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/4 + -19\/12. Which is the fourth smallest value? (a) 0.5 (b) u (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*b + 7*b**2 - 9*b**2 + 2*b**2 + b**2.\nAnswer: b**2 - 82*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 14 - (1 + (2 - -4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -363026\nAnswer: -26\/181513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -69510 divided by -7\nAnswer: 9930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-13 + 5)\/32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(204))\/(sqrt(1200)*-1).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 12. Solve j = -5*n - 24 - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634436 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22738003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 25*l + 655. Calculate v(41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 5*p**2 + 6*p + 6. Let q be c(-6). Let x(y) = 8*y - 5. What is the remainder when x(q) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 (base 11) in base 5?\nAnswer: 12103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 4*a = -6*j + 17, -4*a + 5 = 7*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.5, -5\/4, 0.03, 7\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4276869 and 4944.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**3 + 27*v**2 - 146*v + 13. Give o(6).\nAnswer: -1187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 286 = -3*b, 4*b = w - 48 - 33. Let a = -121 + w. List the prime factors of (-3 - -4)\/((-2)\/a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -26*r + 10. Let l(h) = -21*h + 8. Let p(i) = -5*l(i) + 4*x(i). Let q(a) = -a - 660. Calculate p(q(s)).\nAnswer: -s - 660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i**3 - 10*i**2 + i + 1. Let k(t) = -15*t**3 - 11*t**2 + 2*t + 2. Give -4*h(a) + 3*k(a).\nAnswer: -a**3 + 7*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 12, 61, 162, 333?\n\"Answer: 3*z**3 - z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/2 - 9*m - 273\/2 = 0.\nAnswer: -7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 37*l + 85. Calculate o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 - 5*o. Let t(z) be the first derivative of -5*z**3 - 6*z**2 - 16. Let d(q) = 5*t(q) - 12*y(q). Let v(m) = -2*m**2. What is d(v(n))?\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -17\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11662497895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 217*o**2 - 12*o + 12. List the prime factors of y(2).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + i. Let c(f) = -4*f**2. Calculate 2*c(x) + 3*m(x).\nAnswer: x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22444300 (base 5) to base 9\nAnswer: 338508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1684*d + 3484*d - 1708*d.\nAnswer: 92*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-3)*(-40)\/(-575). Is a less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 49. Suppose -z + k*z = 6. What is the common denominator of 31\/18 and 6\/(-60)*z\/((-6)\/122)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 20*v**2 - v + 1. Let g be q(-20). Suppose 15*p + 12 = g*p. Solve -b = -4 + p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = 2*n, -217277 = -5*j + n. Suppose 314 + j = 23*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67562, -135116, -202664, -270206, -337742?\n\"Answer: 3*b**2 - 67563*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**2 - 4*k. Let s(v) = 17*v**2 - 9*v - 1. What is 5*i(a) - 2*s(a)?\nAnswer: 6*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-68) - (-5)\/(-10))*16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 10*f**2 - 7*f + 17. Let v be s(-9). Let h = -3.872 - -3.966. What is the biggest value in v, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Let z = 10 - l. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 + (-10 - 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i**2 + 0 + (0*i - i + 2*i)*(5*i - i - 6*i) - 4*i**2 + 3*i**2 - 5*i**2)*((-i - i + 3*i)*(-3 + 4 - 2) + 1 - 2*i - 1).\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(448) + 2 + sqrt(448) + (sqrt(448) - (-3 + sqrt(448)*-1)))**2 - (-6*(sqrt(448)*1)**2 - (sqrt(448) + 1 + sqrt(448) + 0)**2))*-3*3.\nAnswer: -104877 - 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = c. Suppose 0 = -c*u + u. Suppose -4*q - 3*l + l + 4 = u, 0 = -3*q - l + 3. Solve -4*a - 15 = q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47894*m + 50056*m + 37273 + 131363 for m.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -707 divided by -309?\nAnswer: 707\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -r, 3*h = -h - r + 20. Solve -3*c = -3*j - 6, -h*j + 2*j = 3*c + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 17 + 130 + -115?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 i, and 2 h when four letters picked without replacement from siihhahsihsihsii.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 1\/80*s**5 + s**2 - 1\/160*s**6 + 0*s + 0*s**3 - 1\/96*s**4 + 1\/840*s**7 + 0. Suppose u(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 1. Suppose x = -4*x + 5. Let z be n(x). Let f be 1 - 0 - (z + -3). Is 2 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 121, 116, 107, 94, 77?\n\"Answer: -2*g**2 + g + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28b - 2ca?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (-65 + 56 - -13).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 434 - 432. Let s = 22 - 21.9. What is the nearest to g in -0.17, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 11*w**2 - 12*w - 4. Let z be f(-12). Let x(a) = a**3 + 4*a**2 - a - 4. Let c be x(z). Solve t + c*t = -4*s - 14, -2*s = 4*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7909, -31355, -70341, -124867, -194933?\nAnswer: -280539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 16 = -b. What is the remainder when 52 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 3*r + 3*r)*(-3 - 3 + 4) + 4*r - r - 5*r + r - 2 + 2 + (-4 + 4 - 1)*(2*r - r - 3*r) - 5*r + 2*r + 0*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/14 and (296\/(-20))\/((-12)\/3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428005710*h**2 + 428005710*h**2 + 42*h**3.\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001011100 - -10010001111001?\nAnswer: 100110011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0 (c) -1 (d) 8 (e) 0.95 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5218772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66163 and 15369.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38797, 77724, 116651, 155578, 194505, 233432?\n\"Answer: 38927*h - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2\/3*x - 1\/3*x**2 + 0 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 2, i: 4, e: 3, p: 1, g: 1}. What is prob of picking 1 c and 1 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -38. What is the common denominator of (-28)\/(-5) + (d + 2)\/7 and (-4)\/(-14) - (-1122)\/140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(112) - (4*sqrt(112) + sqrt(112) + sqrt(112))) - sqrt(112).\nAnswer: -24*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/308 + (-6)\/(-33). Which is the second smallest value? (a) p (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75409919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*m**2*x**2 - 22*m**2*x + 30*m*x - 2*m - 37*x**2 - 2634 with respect to m.\nAnswer: -20*m*x**2 - 44*m*x + 30*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(5200)*-2 - sqrt(5200))\/sqrt(4) - (sqrt(208) + -1 + 5)).\nAnswer: -204*sqrt(13) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v. Let u(k) = 711*k**2. What is u(z(o))?\nAnswer: 57591*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 9:10 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -141?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 5*b - 126. Is b at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2 + 1 - 4 + 0*k - 7*k. Let g be l(-3). Solve 3*y + y - g = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:38 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/60 - s**5\/75 + 5*s**2. Suppose y(w) = 0. Calculate w.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 11*d - 8. Let j be y(7). Suppose -5*x + j = 0, 2*w - 2*x = -0*w. Let t(m) = 12*m**2 - 4 + 4*m - 6*m**3 - 9*m**2 + 5*m**3. Give t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 100. Let x be (392\/280)\/(m\/(-5)). Solve t = -t + x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6))\/((-4)\/(-10)). Let l = s - 7\/12. Sort 1\/3, l, 0.4 in increasing order.\nAnswer: l, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + w + 0*w - 8 - 16 = 0, 0 = w. Let k(i) = 4*i**2 - 31*i - 9. Determine k(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -464, -448, -432, -416?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**3 + 5*x**2 + 5*x - 11. Let d(f) = 15*f**3 + 12*f**2 + 12*f - 27. Calculate 5*d(q) - 12*m(q).\nAnswer: 3*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -5, 746, -2\/11 in descending order.\nAnswer: 746, -0.06, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.902 + -45.902. What is the closest to g in 4, 6, 189?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*p - 7 = 0, k - 6*k = -5*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599787522 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 1. Let x(l) = -56 + 2*l - 64 + 127. Let m(k) = 1. Suppose -o - 4 = 1. Give o*m(r) + q*x(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmlmmmmllmmwmmlwmml. Give prob of picking 2 l.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-3)*56541\/13233?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16778*c*r**2 - c*r + 4*c + 6*r - 8 wrt r.\nAnswer: -33556*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 0.054 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 - 4 = 0. Solve 0*l - x*l + 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-176))\/((-9)\/72). What is the fourth biggest value in -2, 2, 2\/7, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/12*((-12)\/15 + 1). Let j be 6\/(-7)*(-2)\/4. What is the closest to -1\/3 in i, 1\/4, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 + 6*n + 6. Let v be r(-1). Let a = -31 - -125\/4. Put v, a, -5\/2 in descending order.\nAnswer: a, -5\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + m = -25*i - 16, -2*i - 5*m - 14 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(448) + 2*sqrt(448)*1 + sqrt(448) - sqrt(448)) + -3)*4*-3*-2)**2.\nAnswer: -82944*sqrt(7) + 2327611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111258\/4285 >= 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1398 + 1482. Calculate the lowest common multiple of s and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -17*x**2 + 4*x + 3. Let b(i) = -9*i**2 + 2*i + 2. Calculate -11*b(o) + 6*j(o).\nAnswer: -3*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29835.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.1628571 rounded to 3 dps?\nAnswer: 16.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 183994434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202111 (base 3) in base 13?\nAnswer: 1bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 353994139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84353 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**23\/z**(-5\/8)*(z*((z\/(z*z**3))\/z*z)\/z)\/(z*z**14))**(2\/21) assuming z is positive.\nAnswer: z**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3210 + 0.0538.\nAnswer: -3209.9462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(55\/33)\/((-4)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925*x**2 + 14575*x - 14575*x.\nAnswer: 925*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 515086160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83.1 - -90. Let c = -78.4 - -72. Let l = q + c. Sort -3, 0.1, l, 6 in descending order.\nAnswer: 6, l, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/10*(-80)\/24. Suppose -2*c = 3*y + p, -c - 3 = 3*y + y. Let a(k) = k + 5. Calculate a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -6 + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -7*g + 2*g - 85, 2*z - 38 = -2*g for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/3 + 217*q**3\/3 + 368*q**2 + 444*q.\nAnswer: -q*(q - 222)*(q + 2)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111010000 + 101?\nAnswer: 110111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 9:27 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2406774 and 1072?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:56 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3\/4 + 235*w**2\/2 + 660*w = 0. Calculate w.\nAnswer: -88, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000031561162 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - -166. Let w = n + -123. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (3 + sqrt(1300))**2).\nAnswer: 60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 9*g - 2. Suppose 8*f = -3*s + 1808 - 148, f - 3*s = 194. What is the remainder when f is divided by q(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r**2 - 6*r - 7. Give q(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043345059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + 5. Solve m = -0*m + v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b - 3. Let u be h(-4). Let l(s) = 5*s + 27. Let i be l(-6). List the prime factors of u\/i - (-54)\/3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 - 4 + 4 - 2*w**2 + 2*w**2 - w**2 + (w + 4 - 4)*(3*w - 2*w + w) + 2*w**2 + 0*w**2 + 0*w**2 + 2 - 2 - 2*w**2 - 3 + 3 + 5*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - e17?\nAnswer: -e28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8166950 - 8166950 + 22*g**3.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-v**4 + 4*v**4 - 2*v**4) + 3*v**4 - 3*v**3 - v**4 + v**3.\nAnswer: v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*v - 9989 - 4912 = 256*v - 4085 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20418686501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*h + 4 = 0, m = 3*h - 4*h + 6. Suppose 0 = 3*z - 25 + 7. Calculate the lowest common multiple of m and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:16 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*y + 36. What is the remainder when 33 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85843.23ml in litres?\nAnswer: 85.84323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 1:06 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.39 - -0.79. What is the closest to 0.06 in t, 3\/5, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 107, -7, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from itzigiijj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 666.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1077037 or 261\/4?\nAnswer: 261\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/(z*z**(-7\/3)))\/(z\/z**(-2))**(3\/20)*((z**(2\/17)\/z)\/z**7)\/((z*z*z**5)\/z**(2\/3)) assuming z is positive.\nAnswer: z**(-6913\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.653 + -0.153. Let w = 2 + -2. Suppose w = -0*d + 5*d - 15. What is the closest to -1 in -2, d, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -713 + 47?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -16 - 24. Which is smaller: s or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 127414*d**2 - 12 + 127410*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1717*i**4 - 694*i.\nAnswer: -20604*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -5 (c) 8\/5 (d) 1 (e) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -227, -1226, -2919, -5306, -8387, -12162, -16631?\n\"Answer: -347*g**2 + 42*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 105 (b) 2\/3 (c) 20\/43 (d) 14 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 3*d + 1. Determine l(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2)*2)\/(11\/(-55))*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.6846023.\nAnswer: -1.3692046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {l: 1, p: 1, g: 2, q: 1, f: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 117 = -4*u, -4*n - 7*u = -3*u - 444. Let w = -543\/5 + n. Suppose -8\/5*k**4 + w*k**5 - 16\/5 + 4*k**2 - 8\/5*k + 2\/5*k**3 = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 0, 2, 5 in decreasing order.\nAnswer: 29, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c + 1. Let y(f) = 4*f + f - 2 - 3 - 7*f**2. What is -5*v(w) - y(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16176 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4878, -11, -2, -3, -6 in descending order.\nAnswer: -2, -3, -6, -11, -4878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 264347483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(2880) + -2 + sqrt(2880)*-1 + 1 - (0 + sqrt(2880))*-1*2))**2.\nAnswer: -1728*sqrt(5) + 103716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + 2. Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 20*p = -18*p - 5495, -5*d + 9161 = 2*p. What is the greatest common factor of 663 and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -46. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1.3 (b) -4 (c) -1\/24 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151029 = -4*p - t, -2*p = -3*t - 41070 - 34441. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.827 + -1.107. Let i = -45 - -45.38. Let r = i + y. Which is the closest to r? (a) 1 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*n - 234*n + 714*n - 231*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1905*j**3 - 4*j**2 + 1. Let k be n(4). Suppose -5 = -2*p - 1, -2*p + 149575 = -3*f. Let v = f + k. Round v to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4721694?\nAnswer: 2, 3, 786949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -35. Solve 2*c - d - 7 = 0, 4*d + 7 = 4*c - v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4230932*q**4 + 4132293*q.\nAnswer: -50771184*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 51 - 44. Let y = -16 + c. Let o(l) = -5 + l**2 - 4*l + 4 + 4. What is o(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 6, d: 2, j: 1}. What is prob of picking 2 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1448 = -2*s, -153*s - 4*p = -148*s - 3590. What is the highest common factor of s and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 142 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6346\/11 (b) -2 (c) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 68*v + 582. Give d(-16).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555564 - 1.\nAnswer: 555563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5496837\/2350868 + -1962\/853. Let l be 6 + -3 - 465\/156. Let j = l - q. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Suppose -6*w = -h*w + 2*t - 454, -786 = -5*w + 4*t. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-3))\/(b\/((b\/(b\/(b**(-4)\/b)))\/b)))\/((((b\/(b*b\/((b**(-2\/7)*b)\/b)))\/b)\/b)\/b**5))**(-4\/5) assuming b is positive.\nAnswer: b**(-176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -156776, -627066, -1410882, -2508224, -3919092?\n\"Answer: -156763*n**2 - n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:32 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n + 14 = 0. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -117*v - 3271. What is s(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 174402456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/7 (c) -322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*n + 13370, -5*n = 11*h - 13*h + 6691. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -362118 divided by 6\nAnswer: -60353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 + 14 - 12 - (73 + -26).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2403079\/66 - -36413. Let y = -115\/24 + 1937\/264. Let u = r - y. Which is the biggest value? (a) 0.4 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 + 1.16. Let k = q - 5. What is the closest to 2\/9 in -5, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 2*p**2 + 4*p + 1. Let h(l) = l**3 - l**2 + l. Suppose 0 = 5*i + k - 339, -k - 4*k + 131 = 2*i. Let o = i + -67. Calculate o*g(s) - 4*h(s).\nAnswer: -s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103025 - -101553?\nAnswer: 205022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 29219*q + 4308601. Give d(-146).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18337 - 18045. Sort -0.3, -11, -5, c.\nAnswer: -11, -5, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 4 = 7*d. Let u be (-3 - 2*d\/(-2)) + 13. Suppose -3*c + 41 + 58 = 0. Calculate the greatest common factor of u and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54841, 109754, 164679, 219622, 274589?\nAnswer: 329586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173\/354 + 2\/177. Let g(q) be the first derivative of -3 + 4*q + f*q**2. What is g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104? (a) 0 (b) -4 (c) -2 (d) -3 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -362, -675, -1118, -1739, -2586, -3707, -5150?\nAnswer: -6963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let r be 54\/o - (-4)\/(-2). Let n = r - -82. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/(-8) + (-5)\/(-4). Which is smaller: 8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2435*h - 1590*h + 1220*h - 2653*h.\nAnswer: -5458*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5808 (base 12) to base 16\nAnswer: -2648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11355801 or 11355800?\nAnswer: 11355800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10894 + 40082. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.54687 + 241.67713. Let j = r - 247.9. Let s = 5.8 + j. What is s rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-144)*(-2 + 50\/65) - 0.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/(4\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 393*a**2*m + 2*a**2 - 63*a wrt m.\nAnswer: 393*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 1060 = -14*v. Let i = v + 1069\/4. Factor -27\/4 - i*q**2 + 1\/4*q**3 + 27\/4*q.\nAnswer: (q - 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwf when three letters picked without replacement from {w: 1, f: 4, c: 2, s: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 10. Let b = 3.5 + z. What is the third smallest value in -2\/11, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 54*b - 11*b**2 + 1 + 3*b**2 + 17*b**2 + 42*b.\nAnswer: 9*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621.36 + -2.\nAnswer: 619.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1756654662 divided by -10707?\nAnswer: 164066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r - 34. Calculate the remainder when 29 is divided by b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(2\/13))\/r))**(-30)\/(r*(r\/(r*r*r*r\/(r**(-7)\/r))*r)\/r*r*r**(-1\/7)*r) assuming r is positive.\nAnswer: r**(-1569\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -32. Do -3\/19 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:00 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 22*o + 452 = 0. Let f = -63 + o. What is the greatest common factor of f and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 23. Let x be q(-8). What is the highest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 0.0179093.\nAnswer: -3.9820907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 9*y - 10. Let i be s(-7). Factor -5*u**i - 12*u**2 - 7*u**4 - 3*u**5 + 3*u - 18*u**3 - 6*u.\nAnswer: -3*u*(u + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -778 - 10*v**2 - v**2 + 823 wrt v.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7) + 210\/(-539)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 195 + 155*y + 159*y - 314*y)*(4*y**2 + 12*y**2 - 6*y**2).\nAnswer: -20*y**4 - 1950*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-3*sqrt(72) - sqrt(72)) - (sqrt(72) + -2)*-3) + 0 + 2)**2.\nAnswer: -1296*sqrt(2) + 52504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4523*k - 1259*k - 8954*k + 3728*k)*(3 - 3 - k) to the form u*k**2 + g + s*k and give u.\nAnswer: 11008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, 5, 50, 147, 314, 569?\n\"Answer: 3*s**3 - s**2 - 7*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 1. Let k(z) = -z**2 - 1. Suppose -7*i - 25 = -4. Determine i*k(g) - c(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2055883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 36*w**2 - 26*w + 44. Let s be q(-36). Let a = s + 227. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - p - 1. Let v be b(-1). Suppose 0*z - 3*z = 18. Let n = v - z. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, e: 4}. Give prob of picking 1 n and 1 e.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -1291*w**4\/12 - 1387*w**3\/6 + 7*w**2 - 29*w. Find the first derivative of c(p) wrt p.\nAnswer: -2582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360 divided by -180\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 6) in base 3?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 5 (c) 4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - -46. Let t = -57 + f. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/4 + 149*c**2\/4 - 295*c\/4 + 147\/4 = 0. What is c?\nAnswer: 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 825, 2557, 5873, 11301, 19369?\nAnswer: 30605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1878181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, h: 4, j: 1}. What is prob of picking 2 u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:47 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*d - 3737 - 4346 + 2827. What is the highest common factor of d and 14089?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 27141134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*j + 25, 2*j + 2*r + 15 = 5. Which is the biggest value? (a) j (b) 0.13 (c) 1\/40 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2548900934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3, 326.\nAnswer: -4, -3, 2, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69142727541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/690 - (2\/(-9) + 1082\/90)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21558 and 278.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:15 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -251687149*w**4 - 458534961?\nAnswer: -1006748596*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 - 47451*x**2\/4 - 177991*x - 308529.\nAnswer: (x - 47466)*(x + 2)*(x + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 23*i**2 + 49*i - 13. Let l be h(-6). Let d = -439 + l. What is the remainder when 162 is divided by d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20998259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 2*v - 81. Let m(w) = -w**2 + 1. Let s(h) = 4. What is v*m(t) - s(t)?\nAnswer: -t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*h = -56, -10 = -4*z + 4*h - 66. What is the remainder when 3\/7 + (-372)\/z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-10125)*(-60)\/40.\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 533 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**3 - 150 - 9\/4*s**2 + 195\/2*s + 3\/4*s**4.\nAnswer: 3*(s - 5)**2*(s - 2)*(s + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008436179 rounded to five dps?\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x - x - 2*x)*(0*x**2 - 11*x + 2*x**2 - 3*x**2) to g*x**3 + f*x**2 + y + u*x and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0898304 - 29.0179096. Let u = 29.1 + b. What is u rounded to four dps?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24043 divided by 4\nAnswer: -24043\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 348 and -2156.\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229 + -626. Let x = 662 + p. What is the second derivative of 15*o**5 - 265*o**3 - 6*o + x*o**3 wrt o?\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -50*d - 55. Let k be y(-11). Let u = -488 + k. Which is smaller: u or 17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 + 2*c**2 - 4*c - 7. Calculate b(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by (-4 - (-162)\/14)\/(10\/70)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1598 is divided by 967.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*z + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + 4*o + 4. Let c(k) = 2*k**2 + k - 11. Let y(q) = q**2 + q - 1. Let g(m) = c(m) - 6*y(m). What is -4*g(h) - 5*r(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(-3)*(-66)\/(-1001)*28.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 341579 and 155967.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, j: 2, l: 3}. What is prob of picking 1 l and 1 o?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 6. Let w(s) = 2*s + 11. Let m(t) = -5*g(t) - 3*w(t). Let a be m(-5). Solve 2*d + a*d - 20 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*w, -176 = -3*o - w - 0*w. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -140, -276, -414, -554, -696, -840?\n\"Answer: -j**2 - 133*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:20 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 515431 + 3121?\nAnswer: 522552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 10. Let o(h) = 5*h + 10. Let d be o(p). Let y be 3 - (d + -3 + -71). What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 312 = 17*o + 14*o. Let l(c) = 12*c - 8. Let f(u) be the first derivative of -2*u**2 + 3*u + 1. Calculate o*f(s) - 3*l(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*2*sqrt(1088)*-6)**2.\nAnswer: 2506752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + 4) + -5 + 4*(sqrt(539) + 1).\nAnswer: -25 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by -2715?\nAnswer: -47\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-35)\/4))\/(62\/775)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 332 and 4399.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*g = 91*g + 305. Suppose -62*o + g*o + 125 = 0. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140653812, -562615228, -1265884248, -2250460866, -3516345076, -5063536872?\nAnswer: -6892036248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147.09 - -148. Let b = r + 1.28. Round b to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8 - -39) + 20 + -12?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l - 12*l - 8*l + 1 + (-9*l - l + 3*l + (5 - 4 + 0)*(-3*l - l + 6*l))*(-3 + 4 + 1).\nAnswer: -23*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i + 916. Let a be y(5). What is the greatest common divisor of 63 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**33*u)**(-31))**(-1\/5) assuming u is positive.\nAnswer: u**(1054\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v - 4. Let c(o) = -13*o - 3. Let m be (-11)\/(-110)*25 - 9\/(-6). Calculate m*y(s) - 5*c(s).\nAnswer: 9*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k**4 + k)*(-6 + 16 - 11 - 26*k).\nAnswer: 26*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46863500.\nAnswer: 2, 5, 19, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 658 * 0.6.\nAnswer: 394.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s - 5*h - 31, 4*h = -5*s - 92. Let x = 19 + s. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.345811 months?\nAnswer: 0.0069548425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 + w + 2. Let t(s) = s**2. What is -i(j) - t(j)?\nAnswer: -6*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 137?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5782059864 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*q + q - 44, -q = f - 2. Let h be ((-4)\/4)\/(2\/q). Let m(y) = -59*y + 42*y + 0 + 1 + 19*y. What is m(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1069625109 to the nearest integer?\nAnswer: 32705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 - 114 + 45*b**2 - 28*b**2 - 30*b + 29*b - 41*b**2 as r*b + d*b**2 + t and give t.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 56537*y + 1 + 56582*y.\nAnswer: 45*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 456 = -3*h. Let p = h + -66. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -3*p + 3, -p = -r. Let h(c) be the second derivative of -5*c + 0*c**4 + 21\/2*c**p - 3\/5*c**5 + 0 + 0*c**3. Differentiate h(z) with respect to z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0.18.\nAnswer: -4, -3, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 6. Give j(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 7:54 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 - -99.0000017. Round c to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times -26?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8 = -s, -4*d - 5*s + 1 = 3. Suppose 6*f + d*j - 2550 = 4*f, -2*f = -3*j - 2540. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9)*k*k**20*k*(k**(-6))**(-14\/3))**(-1\/2) assuming k is positive.\nAnswer: k**(-224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -1108, -0.6?\nAnswer: -1108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/5 + 32 + -2. Let b be ((-6)\/(-15))\/((-21)\/a). What is the third biggest value in b, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Suppose 3*y + 8 = -2*f + 7*y, y = -i*f + 11. Find the third derivative of -15*p - 8*p**4 + 15*p - 7*p**f wrt p.\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7652589?\nAnswer: 3, 7, 307, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 3515\nAnswer: 10545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**3 + 66*c**2 - 4*c + 4. Let y(p) = 7*p**3 - 65*p**2 + 3*p - 3. Calculate 3*r(q) + 4*y(q).\nAnswer: q**3 - 62*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-7))\/(4461\/(-41636))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.16, -2\/9, 1985, -4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/60 - m**4\/24 + 11*m**3\/2 + 22*m**2. Let h be s(0). List the prime factors of (-394)\/(-6) - 22\/h.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*r - 2, s = -5 + 1. Let v(l) = -r*l + 3 - 2 + 56*l**2 + 1. Does 14 divide v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 8*g + 4*g - 40 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 115, -2\/1185, -0.04, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*b**2 - 1111*b**2 + 611*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 5:16 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*r + 4 = 6 - 2. Let s(u) = -u**3 - u**2 + 24. Give s(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**11\/147840 + c**10\/40320 + c**9\/40320 - c**5\/20 - 7*c**2. Let f(w) be the third derivative of p(w). Factor f(y).\nAnswer: 3*y**3*(y + 1)*(3*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036 - 22175240084?\nAnswer: -22175240083.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {a: 1, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = -1. Let z = 2 - q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(38)\/sqrt(2)).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38891 is divided by 257.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f + 3. Let a(j) = 21*j - 13. Determine -6*a(t) - 26*z(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 + 18 = 0. Let z be (h + 17)*(-2)\/(-4). Let n be (2 + (z - -1))\/(-2). Let u(a) = -a - 3. What is u(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 12. Let w be (d - 0)\/(4\/2). Let z be -5*(2\/5 - 0). Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 8*t**3 + 0 + 0.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45819 + -3\nAnswer: -45822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 12406107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/4 of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f (base 16) to base 10.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (30 + -35 - -67) + -122\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -888, -887, -888, -891, -896?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 16605348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112222 + -202110010122?\nAnswer: -202101120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1078 and 504350.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -14365 - -0.2?\nAnswer: -14364.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-52)\/6)\/(-1))\/(26909\/484362)\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 891547063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*a - 3*a - a)*(-11103*a - 35780899 + 35780899) to the form m*a + u*a**2 + y and give u.\nAnswer: 22206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) -3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from {f: 7, y: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/((n*n**(-2\/3))\/n*n)))\/(n\/n**(2\/25))*n*n**3*n*(n*n\/((n\/((n**(5\/6)*n)\/n))\/n)*n)\/n*n assuming n is positive.\nAnswer: n**(1387\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*j = -11, 2*y = -3*j + 2*j + 6. Suppose 4*n - 5*a + 22 = 0, 0 = -y*n + a - 6*a - 5. Calculate the remainder when 73 is divided by (n\/(6\/76))\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -316 + 315. What is the closest to a in -2\/15, 1\/8, 1, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.5 and 21581.\nAnswer: 21572.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1840)\/(-69)*6\/(-44). Let f = h + 382\/99. Let l = -1.88 + 2. Which is the biggest value? (a) l (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 28*v**5\/9 - 2*v**4\/3 - 1208*v**3\/9 + 478*v**2\/3 - 80*v\/9 - 56\/3 = 0.\nAnswer: -7, -2\/7, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 119114 rounded to the nearest 1000?\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -0.36934.\nAnswer: -0.36934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/60 + m**5\/30 + 5*m**4\/24 - 2*m**3\/3 - 2*m**2 + 29*m. Give k(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-6) - -1)\/(-5 - 5225\/(-1050)). Suppose -3*l = -0*l + 75. Let c = l - -39. What is the greatest common factor of c and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 21*p + 8. Let n(w) = w**2 + 2*w. Let h(f) = -b(f) - 7*n(f). What is h(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - -75 - (7 + 8) - (-2 + 35).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 3, w: 1, e: 1, n: 6}. What is prob of sequence fn?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b**(-1)\/b)\/b)\/b)**(7\/13))**(9\/7) assuming b is positive.\nAnswer: b**(-27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2458, 112, -4, -2, 2, 1 in decreasing order.\nAnswer: 112, 2, 1, -2, -4, -2458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.18 + 89.32. Let j = m - 72. What is j rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147*t + 6960*t**2 - 6957*t**2 + 2 - 36*t)*(-t**2 + 2*t**2 + 0*t**2) + (2 - 5 + 2)*(-2*t**4 - 3 + 3).\nAnswer: 5*t**4 + 111*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 5*j)*(-j + 9*j - j)*(0*j**3 - 2*j**3 + 3*j**3).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30167, 120655, 271499, 482723, 754351, 1086407?\nAnswer: 1478915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16430 and 979758?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 - 561*y + 1824. Give n(109).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.9572 (c) -168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*p - 68 + 32, -3*p = -2*x - 49 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-3)\/9*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3549*42\/70 - (-2)\/5. Which is greater: -2128 or t?\nAnswer: -2128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, m: 2}. What is prob of picking 3 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 49. Let z(l) = -2*l**2 + 30*l - 3. Let a be z(b). Put a, -2, 11 in decreasing order.\nAnswer: 11, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1865.0837 + -1175952.\nAnswer: -1177817.0837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 2, b: 4, e: 2, a: 6, c: 3}. What is prob of picking 1 b and 1 e?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -959096 - 140*m + 959096.\nAnswer: -140*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.032601 - -1086975696.\nAnswer: 1086975696.032601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1415441 (base 6) to base 11.\nAnswer: 55375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {p: 3, j: 4, i: 2, z: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936410?\nAnswer: 2, 5, 29, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 13 = -4*s + 4*n - 21, -3 = -n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h*s*v**5 - 2*h*s*v + h*v + 2*h - 39*s*v**2 - 275*s*v - 2*s + 4*v**5 wrt v?\nAnswer: -120*h*s*v**3 - 78*s + 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/210 + -4 + (-50)\/(-12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (256 + (-216 - -110)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 3*n**3 - 530*n + 12 + 17 - 41.\nAnswer: 3*n**3 - 530*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85123017 + 85123017 - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 2, r: 1, z: 3, w: 3, f: 2}. What is prob of picking 1 d and 1 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0*t + 23\/60*t**6 + 0*t**5 + 2*t**2 + 0*t**3 + 5 + 73\/12*t**4. Find the second derivative of a(l) wrt l.\nAnswer: 276*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27802\/27 or -1030?\nAnswer: -27802\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6652 + 6766. Is 3\/10 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/15 - 118*h\/5 - 936.\nAnswer: -2*(h + 60)*(h + 117)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**7\/2520 + w**6\/120 + w**5\/24 + w**4\/12 + 2*w. Let b(l) be the third derivative of k(l). Let z be 25\/15*9\/(-3). Give b(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 1:52 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**3)**(-4\/11)*f**(-2\/19)\/f**(2\/5))**(-22\/5) assuming f is positive.\nAnswer: f**(-464\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 11*f**3\/3 + 333*f. Let a(h) = -27*h**2. What is g(a(m))?\nAnswer: -594*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5 + 352166*z**4 - 15501730910*z**3 - 77531898486*z**2 + 635627318832*z + 697657134240 = 0.\nAnswer: -9, -1, 5, 88044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 5, g: 2, i: 1}. What is prob of picking 3 z?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b + 9*b = -400*b + 1068. Let t(w) be the third derivative of -1\/300*w**5 + 0*w - 46*w**2 - 1\/600*w**6 + 0 + 0*w**4 + 0*w**b. Factor t(q).\nAnswer: -q**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-3300)\/(-175))\/(-33))\/(-1). Factor h - 2\/7*i**3 + 8\/7*i**2 - 10\/7*i.\nAnswer: -2*(i - 2)*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 7) to base 10.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*b + 4301*b - 3712*b - 171*b**2.\nAnswer: -171*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54\/7*k**5 + 0*k - 32\/7*k**2 - 24*k**4 + 0 - 184\/7*k**3 = 0 for k.\nAnswer: -2\/3, -2\/9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -21. What is the first derivative of -8 - 37*n**c + 6*n**4 - 3 - 4 wrt n?\nAnswer: -124*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((4\/6)\/1)\/((-356)\/1068). What is the second biggest value in p, -16, 0.37?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.9 - -15. Let p = -0.09974 + r. What is p rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*6738544.\nAnswer: 101078160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 0.3 (b) 2\/15 (c) -0.5 (d) -1\/64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -34 + 249. Suppose 174 = -2*d + 84. Let r be d - (0 - -1*(1 - 2)). Which is greater: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25.7, 3\/5, 0.00343 in descending order.\nAnswer: 25.7, 3\/5, 0.00343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3 - 2708*c**2 - 128256*c - 1532160 = 0.\nAnswer: -2660, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*1*sqrt(847) + -3 + -1 + sqrt(7) + 5 + 1 + (sqrt(63) - sqrt(7)) + sqrt(7) + sqrt(567)*2*-4)**2.\nAnswer: -240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106546 or 106555?\nAnswer: 106546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n. Let x be g(18). Let q = x - -622. Suppose -10 = -2*f + q. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5, -2.1, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/356 and 145\/1464?\nAnswer: 130296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 104?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4515500 to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -143, -220, -297?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d - 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16 = -49. Let q(f) = 51472 - 51472 - p*f**2. What is q(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 c when four letters picked without replacement from fckff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973497617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - d + 3. Suppose 2*s + 9 = 11. Let h be 0\/((3 + -2)\/s). Let w be l(h). Which is greater: 5\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 + 154*j**2\/3 - 2990*j + 26450\/9.\nAnswer: -2*(j - 115)**2*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*1*-2*(-9)\/(-24). Let n(l) = 3*l**2 + 12*l + 17. List the prime factors of n(q).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 9*z + 32*z - 79525. What are the prime factors of z?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**6\/4 - 35*n**3\/6 - 35*n**2\/2 - 25*n. Let a(v) be the first derivative of j(v). Differentiate a(g) with respect to g.\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1624 and 119.\nAnswer: 27608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-34)\/(-1020))\/(((-75)\/105)\/(12\/(-7)))?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*q - 230*q - 482*q to a*q + k and give a.\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -4 (c) -2\/89 (d) -0.4 (e) 41 (f) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23937 divided by 6?\nAnswer: -7979\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/((-1)\/795). Let u = b + 821. List the prime factors of u.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 9 - (-5 - 11 - -23)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 180496, 180497, 180498, 180499, 180500, 180501?\n\"Answer: j + 180495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154032 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -b - 4. Suppose -23*q + b = -22*q. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 21) + (-12 - -36) + -24 + -25\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1494 + -1481. Suppose 0 = 4*t - 107 - 165. What is the remainder when t is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -119, 2, -124, -19 in descending order.\nAnswer: 2, 1, -5, -19, -119, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37008923 is divided by 505.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*r - 8, a + 8*r - 19 = 3*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10753259 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 74621051.25 to the nearest one million.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -k - 4*k, -3*g - 2*k + 86 = 0. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from acyqwqnccqnqnq.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*f - 5*f**2 + 13*f + 5*f**2 - 6*f**2 as a + j*f + l*f**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1865*x**4 + 2*x**3 + 12*x**2 - x - 6816. Let j(o) = 1864*o**4 + 3*o**3 + 18*o**2 - o - 6817. Let b(a) = -2*j(a) + 3*s(a). Differentiate b(f) wrt f.\nAnswer: 7468*f**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11dc (base 14) in base 3?\nAnswer: -11022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*w**4 + 9*w**3 + 358*w**2 wrt w?\nAnswer: 384*w + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 485 and 10120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, l: 1, z: 2, o: 3}. Give prob of sequence olzz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 2. Suppose -4*w - 4*k = -24, -34 = -5*w - 0*k - 4*k. What is the lowest common multiple of w and u(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31795492 - -0.318. What is t rounded to six decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 6. Let w be s(-9). Let g be 4*(w + 26\/(-9)). Let 2\/9 - g*r + 2\/9*r**2 = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 61 = -z. Let x = z + 57. Solve 0*m = 5*m - x*b - 11, 0 = 3*m + 2*b + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = 4*v, -3*v = 2*v - 5. Let i be 3\/10*12\/(-9). Are b and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*h - 25, 2*p + 3*h = p + 15. Let k be (-3)\/(-6)*6 + p. Solve 5*c - 2*v + 10 = -5*v, 0 = -k*c + 4*v - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-67 - -66 - (-18 + 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -3*t**2\/2 + 21*t + 6109. Let o = -10 - -16. Let k be a(o). Solve -k = -l - 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 9) to base 13.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Suppose 11 - 62 = -o*n. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/20 - (-17)\/20\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233 + 230. What is the hundreds digit of (-219 + 5)*q\/((-15)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.4 * -0.855.\nAnswer: -27.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -3, -2\/353, 2\/11 in decreasing order.\nAnswer: 0.4, 2\/11, -2\/353, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + 1306?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8 - 13*q - 4 - 5*q. Let a(w) = -1060*w - 18 + 1059*w + 17. What is -12*a(h) + z(h)?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 71 - 25)*(-1 + 1 - j)*(-10*j**2 - 7*j**2 + 4*j**2) in the form i + z*j**3 + a*j**2 + t*j and give z.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -996.661 + 996. Let j = -0.69 - f. Round j to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/2, 2\/7, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, -1\/2, 1\/182, 0.03 in ascending order.\nAnswer: -1, -1\/2, 1\/182, 0.03, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 15) to base 13.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4526?\nAnswer: 2\/2263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3\/5 + 8*c**2 + 13*c\/5 = 0.\nAnswer: -13, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -22. Solve 1 = -n + v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7481 (b) 0.2 (c) 1126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 7.1, 2\/5 in descending order.\nAnswer: 14, 7.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*1*1\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 161110*j**2 - 8*j - 8. Let w be x(-6). What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*f - 261, -5*x - f + 241 = -2*f. Let n = x - 293\/6. Let t = 32 - 29. Which is the third biggest value? (a) t (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, o: 7}. What is prob of sequence ooo?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 798125600 to the nearest 100000.\nAnswer: 798100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-76))\/(1\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**3 - 2*r**2 + 7*r + 1. Let f(j) = -5*j**3 - j**2 + 4*j. Determine -11*f(p) + 6*s(p).\nAnswer: p**3 - p**2 - 2*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*(-4 + (-40)\/(-12) - -1). Is 2 + n + -1 + 980 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599149.98 rounded to the nearest 1000?\nAnswer: 599000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3293239673 from 0.3.\nAnswer: -3293239672.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-1)\/(-2 - -1). Let j(x) = x**2 + x. Let q be j(0). Let t(y) = 0*y**2 + 1 + q - y**2 - y. Determine t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55555338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 15. Let o(b) be the third derivative of b**3\/6 + 1363*b**2 - 1. What is 12*o(l) - s(l)?\nAnswer: 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 6:16 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**3 - 2*b**2 + 2*b - 1. Let r be d(1). Let m(a) = 38*a - 5. Is m(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5 = x + 5*n, n = 4*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-72)*8*14\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bllb when four letters picked without replacement from blbbbbbblbl?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1228\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 33 = 9*s. Does 21 divide 2\/s*20\/(-10) + 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-32))\/((-22)\/(110704\/(-111)))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1984c6 (base 13) to base 11.\nAnswer: 401a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 96*d - 27 + 91*d + 52.\nAnswer: -5*d - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1. Let j(x) = -1. Let q(u) = 2*j(u) - z(u). Let f(p) = -2*p + 5. Let s = -518 - -514. Calculate s*q(y) - f(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 5*k - 14. Calculate l(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 232 - 193. Let n(s) = -s**2 + 38*s + 39. Let m be n(i). Which is smaller: m or 1\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1. Let t(o) = -508*o**2 - 16*o + 14. Let x(i) = t(i) + 10*z(i). Let j be x(-9). What is j rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 3 (b) 19 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 - 2990*u\/9 + 32164\/3.\nAnswer: 2*(u - 1462)*(u - 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/3, -2, -0.04, 4\/5, 18.\nAnswer: -2, -0.04, 4\/5, 4\/3, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**2 + 1\/2*m**3 + 0*m**4 + 1\/480*m**5 - 1\/720*m**6 + 0*m + 0. Let i(a) be the first derivative of d(a). Factor i(b).\nAnswer: -b*(2*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36604 by 9151.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = 2. Let p = -0.325 + 0.125. Sort 0.4, q, p, -4 in increasing order.\nAnswer: -4, q, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -1) + (-103 - -117)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2. Let y = -5 + 14. Let v be (y\/(27\/(-10)))\/(4\/(-6)). Let h(r) = v + 1 - 6 + r. Give h(n(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 31974 = i, 0 = i - 0*i - y - 31972. Let f = -22738 + i. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:04 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (147\/(-2))\/(3\/(-4)). Suppose 3*x + 20 = u. Calculate the least common multiple of -4*(x\/(-4) + 2) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*l - 139 = -127, 0 = f - 5*l - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Let a be y(5). Let l = a - -14. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10748*x**3 - 119*x**2 + 124*x**2 + 10749*x**3 - 5*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/6 + (-4)\/(-6). Suppose -5*j = -3*f + 54, -q*f + j = -0*j - 90. Solve 2*s + w - f = -3*w, 0 = 2*w - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2928988133.94 - -2928991599.94001999. Let j = -3466 + t. Round j to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 55 = 5*s - 10, 4*n = 12. Let i be 34\/(-4) + (-24)\/s. Let d be 160\/25 + 4\/i. What is d rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -47*a. Let g(w) = -187*w. Give b(g(x)).\nAnswer: 8789*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9500424 millimeters in kilometers?\nAnswer: 0.0000009500424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 1, 60, 0.3, 4.2, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 20 = 5*l. Let b be -5 + l\/(-1) - -11. Let y be (-1)\/3 + 16\/3. Calculate the highest common factor of y and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 122249 = 317751. Let i be s\/33*(2 + -122). Round i to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/60981165 and 83\/12196233?\nAnswer: 60981165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-273)\/54 + (-3)\/(-2)*2 and -31\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 80 = 0. Let q = 23 - n. Calculate the remainder when 3 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 + 4*n + 2. Let p be j(4). Suppose -3*y = 6, -2*y + 1 = p*f - 3. Solve 0*c = f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 124, 142, 170, 214, 280?\n\"Answer: x**3 - x**2 + 14*x + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, g: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - ((7 - 5) + 1 - (3 + -9)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 2*i. Suppose -5*p + i*k = k, 0 = -2*p + 4*k. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 26, 53\/11, 0.045 in ascending order.\nAnswer: 0.045, 3\/7, 53\/11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaf when three letters picked without replacement from afvvavvavfafffv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2*2 - (16 - 19\/((-399)\/(-147)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 702*j**3 - 658. Let a(s) = s**3 - 4. Let i(n) = 44*a(n) - 2*f(n). Find the first derivative of i(z) wrt z.\nAnswer: -4080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:05 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*r + 5*g, g + 36 = 4*r - g. Calculate the highest common factor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-41)*(z**1)**(-1\/8))\/(((z**3\/z)\/(z*((z\/z**(-4)*z)\/z)\/z))\/(z*z**5*z**(-6))) assuming z is positive.\nAnswer: z**(351\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9903 = 3*j, 4*l - 27*j = -29*j + 19802. Does 110 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22604, 3\/17, 2\/23, -3.\nAnswer: -3, 2\/23, 3\/17, 22604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652 = -108*n - 27*n - 4702 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -275 + 279. Suppose 0 = -c*v - 4*v. Sort -9, -3, v, -1 in descending order.\nAnswer: v, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-9)\/(-3)*(-35)\/105?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16193*s - 16459*s - 7980 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = -2*u. Suppose -u*d - w + 66 = w, -4*w = -d + 8. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*b + n, -b + 3 - 8 = -4*n. Solve 0*r - b*r - 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 370, 772, 1330, 2044, 2914, 3940?\nAnswer: 5122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((81\/36)\/(6\/20)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 7*c - 8. Let b be g(-4). Suppose -17 + 9 = -b*a. Suppose 4*r = 3*l + 32, 24 = 3*r - 0*l + a*l. Solve -4*f = -r - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95957 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - -8 - 6\/1 - -8. Put v, -2, 7 in ascending order.\nAnswer: -2, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -21*g + 2. Let j(w) = w**2 - 152*w + 59. Calculate x(j(f)).\nAnswer: -21*f**2 + 3192*f - 1237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 23*h = 2*s - 34, -49 = -5*s + 4*h. Sort 4, s, 1 in descending order.\nAnswer: s, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*l + 40 = 0, -10 + 59 = 3*k - l. Calculate the highest common factor of 105 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and 10725.938.\nAnswer: 364681.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -237, 2, 4, 22.\nAnswer: -237, 1, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30207579 divided by 14757?\nAnswer: -2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 81885 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - (33 + 14)) + 10 + (-1 - -38).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 2*v. Let x be (-156)\/(-6)*v\/(-2). Suppose 0 = -p - 2*p + x. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*o - 5, -36 = -5*k + 6*o - 2*o. Solve 9 = -2*d + 3*x, 4*d + 25 = 5*x + k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.019 and -1513644?\nAnswer: -28759.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 40*y**2 - 43*y - 7. Give r(41).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17498*s - 17503*s - 17487*s + 3*s**3 + 52558*s.\nAnswer: 3*s**3 + 70*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:44 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 144, -358, -1776, -4572, -9208, -16146, -25848, -38776?\n\"Answer: -77*t**3 + 4*t**2 + 25*t + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1156*a**4 - 816*a**3 - 4480*a**2 + 3264*a - 576 = 0 for a.\nAnswer: -2, 6\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 - 174*k**3 + 549*k**2 - 12*k - 732 = 0 for k.\nAnswer: -61, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 861828 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-2)\/46 + 326655\/126270. Suppose p*n**3 + 25\/2*n + 125 - 20*n**2 = 0. What is n?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368.176 meters in nanometers?\nAnswer: 2368176000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 915\/(-244)*2\/3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/18*12)\/((-40)\/(-12)*1). Which is smaller: p or 2120?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*y - 24*y - 324. Calculate the remainder when 107 is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -10\/27817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 81. Suppose -b = 5*q + 12, 0*b + 9 = t*b + q. Is b > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23290 + 13049795.\nAnswer: 13073085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5432 (base 9) in base 12?\nAnswer: -2392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.072 - 929058240.\nAnswer: -929058240.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112001111 (base 3) to base 6.\nAnswer: 115234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 2) + (8 - -12 - 8) + -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 36*o**2 - 24*o + 867. Calculate f(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 4)*(242*o - 116*o - 2363 - 125*o) to j + d*o and give j.\nAnswer: -4726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + 0 + 223 + -224 - 11 - 5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23817, 47639, 71461, 95283, 119105?\nAnswer: 142927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1023552 and 767664?\nAnswer: 3070656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Let g(i) = 7*i + 20. Let c(s) = -4*s - 10. Let l(o) = k*g(o) + 7*c(o). Is l(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 3. Let w(z) = 1. Let i be (25\/(-75))\/((-2)\/6). Determine i*y(m) + 3*w(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - -2 - 1) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(48)\/sqrt(8)*5)\/((sqrt(200)*-1 - sqrt(200) - sqrt(200))*-6).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h. Suppose 0*q + 2*q - 62 = h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.574 rounded to 1 dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5 - 66003220817?\nAnswer: -66003220821.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -32031*l**2 + l**3 - 4*l**3 + 32035*l**2. Let i(t) = 4*t**3 - 5*t**2. Let j = -5 + 9. What is j*i(d) + 5*k(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from {y: 15, o: 4}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-143)\/(-12) - 480\/280*7)*-492.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 58*h + 1290766 = 227062. List the prime factors of h.\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2100 = r - 2*r. Let w = -14 + 14. Suppose -3*x + r = -w*x. What is x rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7. Let o = 5 + g. Suppose o*x - 77 = 3*m, 0 = 2*x - 4*x + 3*m + 38. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*l**5 - 2*l**4 + 25*l**3 + 17609*l**2 - 19 wrt l.\nAnswer: 7320*l**2 - 48*l + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -193.\nAnswer: -4\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 339762*p**2 + 48*p - 338376*p**2 - 749*p wrt p?\nAnswer: 2772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708 is divided by 230.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66809896 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**6\/780 - d**5\/390 - d**4\/6 - 8*d**3\/13 - d**2 + 425*d. Let j(i) = 0. Calculate i.\nAnswer: -4, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 11 - 1 - 50*i**3 - 65*i**3 + 171*i**3 - 51*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -15*i - 331. Determine a(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7\/4, -0.03 in descending order.\nAnswer: 7\/4, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/177 + -535\/354. What is the nearest to b in -0.3, 0.1, -12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21037098.25 to the nearest 100000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 16 + ((-688512)\/2)\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -11. List the prime factors of n\/((-4)\/(-2)) + 1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n - 76*n**2 + 22*n - 81*n**2 + 244*n**2 - 95*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**4 - 6*x**3 + 8*x**2 + 53. Let v(t) = 20*t**4 + 17*t**3 - 23*t**2 - 159. Let p(s) = 17*d(s) + 6*v(s). What is the derivative of p(y) wrt y?\nAnswer: 4*y**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5494 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = -4. Is d\/(1 + 130\/(-131)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/3 - 17810*h = 0. What is h?\nAnswer: 0, 26715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/9)\/(-4))\/(21\/(630\/(-12))).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/78*((-21)\/(-2))\/(4\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-7)*-2 - 25\/((-5425)\/(-6448)). Suppose 0*i - 52 = 2*i. Is n at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 18*p**3 - 2*p - 1. Let c(z) = 2*z - 15. Let y be c(9). Is w(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*g*r**2 + 3701*b**2 - 7*b*g*r**2 - 3*b*g*r - 5*b*r + 13*g*r wrt b.\nAnswer: 8*g*r**2 + 7402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**3 + 24*d**2 + 11*d + 4. Let m be (-3 - -6)*(-4)\/(-6). Let y(f) = -f**3 + 6*f**2 + 3*f + 1. Let s(g) = m*r(g) - 9*y(g). Determine s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278286578.\nAnswer: 2, 3, 3187, 22283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1. Let u(g) = 3*g**2 + 4. Let w = 39 - 43. Let t be (-266)\/(-56) + 2\/8. Suppose -3*c - t = -8. Calculate c*u(l) + w*z(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1211 + -1265.1. Let x = 54.10000569 + g. What is x rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + sqrt(170)*-6*-2)\/(sqrt(250)*-3).\nAnswer: -13*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**2 + 7*u - 6. Let x be q(-7). Suppose 6*c - 1221 = -x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -32 + (0 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9515, 9520, 9525, 9530, 9535, 9540?\n\"Answer: 5*x + 9510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**2 - 5*l. Is y(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2*q + 9, 34*c + 3*q = 37*c - 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 - (10 - 2*12\/6). Let q be m\/4 - (-1173)\/28. Which is greater: q or 42?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2306 and 11682?\nAnswer: 13469346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 5:15 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = -5*y, 0 = 4*y - 5*h - 5 + 7. Solve -22 = -8*l + y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 270)\/5 + -4. Suppose -57*h = -j*h + 133. Is -19 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3302 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 2*p)*(108 - 252 + 40).\nAnswer: 208*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.66301 rounded to 1 decimal place?\nAnswer: -82.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 64*y**2 - 380*y**2 - 379*y**2. Let n(s) = s**2. Determine n(p(d)).\nAnswer: 483025*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:06 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1062)\/(-5) - (-3 + -1). Let l = -219 + b. Let u = -17\/5 - l. Put u, 2\/11, -1\/5 in descending order.\nAnswer: 2\/11, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 31. Let w be x(-13). Put w, -3, 5 in decreasing order.\nAnswer: 5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkpppppkpkppppkk. Give prob of sequence kpp.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15149034 is divided by 940.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -399*n - 4782. What is the least common multiple of o(-12) and 513?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -345*p + 75307 - 87037 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -36*25\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*t - 787*t = -95 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -123 and -258 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 136367 divided by 2\nAnswer: 136367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7225686 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-10)*(-2)\/6. Let t be (1 - (w + -2)) + -1. Suppose -t*x + 5 = 2. Let v(o) = 7*o**3 + 2*o - 1. Give v(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/16)\/(22\/((-2024)\/(-5)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -71, -87, -117, -173, -267, -411, -617, -897?\n\"Answer: -2*m**3 + 5*m**2 - 17*m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyylyyl. What is prob of sequence ylyy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 20*k - 78. Suppose -k*v + 756 = -4236. Does 64 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243392 = 12391*s + 1057663 for s.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 - 2*v + 1. Let h be t(1). Find the third derivative of -2*g**6 - 4*g**6 - 2*g**2 + 5*g**6 - h*g**6 wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*i = -9, 5*i - i + 8 = 0. Is 15\/13 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31.23 * -136.04\nAnswer: -4248.5292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -690 - -685. Which is the closest to 3? (a) 5 (b) -0.05 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2039, 1135, -365, -2461, -5153, -8441, -12325?\nAnswer: -16805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3363, 3522, 3787, 4158, 4635?\n\"Answer: 53*b**2 + 3310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2.1 (c) -2\/3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - 5*-1*sqrt(637))**2*5 + (sqrt(637) - ((sqrt(637) + 1)*5)**2) + -2)*1 + 1.\nAnswer: -343*sqrt(13) + 98709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 397 = 369. Put 1, j, -10 in decreasing order.\nAnswer: 1, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/(-63))\/((-2)\/(-18)). Sort -4, -12, o, 3, -15 in ascending order.\nAnswer: -15, -12, -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289312*l**4 + 12*l**3*n - 3*l**2*n + 2*l**2 + 2*l*n - 21*l - 818 wrt l?\nAnswer: -6943488*l + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = a - 8, -3*a = -2*j - a + 2. Let d(x) = 0 - 4 + 0 + j. Let n(h) = 2*h - 4. Let r(k) = -4*d(k) + n(k). Let v(c) = -c**2. What is v(r(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11713519 divided by -11713519\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 19*m**2 + 416*m - 8597. Give g(20).\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 315282472293 plus -0.055?\nAnswer: 315282472292.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 65. Is 0 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.9 - -54. Which is the third biggest value? (a) 0.2 (b) -2 (c) -3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 (base 4) in base 7?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1916536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a + 31*a - 15*a as w*a + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyaayyy. What is prob of sequence yay?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21499*b*m**2 + 2*m**2 + 1898 wrt b.\nAnswer: -21499*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7)**46)**37 assuming f is positive.\nAnswer: f**11914","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 7. Let q(k) = 5. What is -3*o(d) - 4*q(d)?\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i + 16 - 16 + i**2 - 4*i as n*i**2 + c*i + h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 18*f - 35. Suppose -h + 4*r = -12 - 14, 3*r = 3*h - 33. What is b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 2*v - 5. Let y be 0\/(-10)*(1 + 3\/(-2)). Let f be g(y). Put 1, 2\/5, -1, f in increasing order.\nAnswer: f, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5819*j**2. Let p(a) = 2*a**2. What is t(p(i))?\nAnswer: -23276*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1728.005027 - -1728. Round j to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3038 is divided by 68?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95735 - 52036. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 - 42*k + 30. Let g = 994 - 985. Let i(w) = w**2 + 3*w + 3*w - 5*w. Let p(d) = g*i(d) + o(d). Factor p(c).\nAnswer: 3*(c - 10)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293801.9 weeks in milliseconds?\nAnswer: 177691389120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6995 divided by 1?\nAnswer: 6995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3078 and 883842.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/6 + 12*u. Let g(s) = 7*s**2 + 12*s**2 - 6*s**2. Determine a(g(z)).\nAnswer: -338*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*y - 10*m - 16414 + 16298, 4*y - 38 = 3*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 960 and 1202805?\nAnswer: 76979520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36096077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 1. Let j = -6\/77 + -65\/154. What is the smallest value in j, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*k = -3208732 + 3194396 for k.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -563*j**5\/5 + 13*j**2\/2 - 2*j + 130. What is the second derivative of h(n) wrt n?\nAnswer: -6756*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199755638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15675 + 15671.7714. Round y to 2 decimal places.\nAnswer: -3.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -7540, 1976 in increasing order.\nAnswer: -7540, 3\/4, 1976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yybby. What is prob of sequence ybb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8645 and 3705.\nAnswer: 25935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + 48 - (-400 - -417).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4346682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 7*s**2 - 4*s - 8. Let z be w(6). Suppose 205 + 95 = 60*n. Solve -1 + n = z*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:47 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w - 145. Let y be u(-30). Suppose y*d - 4350 = -5*j, d + 2*j = 193 + 676. What are the prime factors of d?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = q. Let o(c) = -c + 9. Let l be o(5). Let d(r) = r**3 + 5*r**2 - 6*r + 7. Let z be d(-6). Solve q - z = -2*f, -l*k - f = 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 4*n - 4*m, -3*n + 395 = -4*m + 110. Suppose 5*g - n = 235. What is the highest common divisor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -117 + (-2 - -101)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -15, -27?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, 0.164, 0.02, -12, 1.9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 10:23 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -38267136411.\nAnswer: -38267136413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1235073*g*x**2 + 9*g*x - 4*g - 1104*x + 3 wrt x?\nAnswer: -2470146*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3638)\/(-13) + -11 + 580\/52. What is the greatest common factor of 180 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234 by 2192.\nAnswer: -117\/1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -4*r - 25. Solve 0 = -2*x + r*w - 10, -w = -3*x - 3 + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3956 is divided by 1317.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(5) + 0)**2 + 1*sqrt(5) + -4 + 3)*4.\nAnswer: -84 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2007*t**3 - 4*t**2 - 12*t + 20. Let j(q) = -2006*q**3 - 3*q**2 - 9*q + 15. Give -4*j(k) + 3*r(k).\nAnswer: 2003*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -23. Let s = -25 - -27. Let g be (-2)\/(-3)*(0 - 1). What is the second biggest value in g, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 12\/25 of a microsecond?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 7*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(833) + 1*sqrt(833) + 4)**2.\nAnswer: 56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7 = 23, -2*t + 214 = 2*c. Let o = 76 + 8. Suppose -4*i + 4*d = -o, d + c = 5*i - 2*d. What is the remainder when i is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:39 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3489.2nm to micrometers.\nAnswer: 3.4892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 14. Let f(c) = c**3 - 8*c**2 + 6*c + 5. Let u be f(b). Let q be ((-1500)\/9)\/(u\/6). What is q rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**2 - 97*s - 16. Is x(-13) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 1\/225 (b) 5 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1216)*-1 + 1 + -2 + ((sqrt(114) + sqrt(114)*1)*-2)\/((1*sqrt(66))\/sqrt(11)))**2.\nAnswer: 24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -4 + sqrt(700) + sqrt(700) + sqrt(700) + sqrt(700)*-2 + sqrt(700))*3)**2.\nAnswer: -2160*sqrt(7) + 56844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36140a (base 14) in base 10?\nAnswer: -1847506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 211*p**2 + 2931*p - 4276. What is s(224)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -160, -174, -194, -220?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/25 or -1710?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**8\/336 + 4*x**7\/315 - 4*x**6\/45 - 4*x**5\/5 - 22*x**4\/9 - 32*x**3\/9 - 7*x**2 + x. Suppose i(z) = 0. What is z?\nAnswer: -2, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, m: 4}. Give prob of picking 3 z.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 2, q: 2, x: 1, d: 1, m: 1}. What is prob of picking 1 m, 1 q, and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 3749 + 801 = 0. Let g = a + -266. What is the closest to -1 in g, 3\/10, 0.4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/848 and 109\/14.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/10 and 35\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21046396, -21046398, -21046400, -21046402?\n\"Answer: -2*v - 21046394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9917 and 3?\nAnswer: 5.9751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 462743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*b**6 + 737*b**3*h**2 - 27*b**2 - 305*b*h**2 wrt b.\nAnswer: -8880*b**3 + 4422*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.63461t to milligrams.\nAnswer: 24634610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -17*g + 26, g = h + 141160 - 141152 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 650744078.5 to the nearest one hundred thousand.\nAnswer: 650700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 406 and 928.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -11291.\nAnswer: -16\/11291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (4 - (-37 + 17 + -1) - -46)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205957171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -j + 3*j - 143, t - 4*j + 43 = 0. Let k = 13 + t. Let v = k + 24. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(4) - sqrt(20)\/(-1*sqrt(5) - sqrt(5))) - (-4*(4*sqrt(833) + sqrt(833) - sqrt(833)))**2) + 4.\nAnswer: -213244 + 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 5, i: 1, t: 5}. What is prob of picking 3 y and 1 i?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = -17*k - 2453. Is 2*(-1)\/8 - 6205563\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y - 13*y + 2*y + 72*y.\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 472*r**2 + 12*r + 582. Let d(p) = -189*p**2 - 5*p - 233. Let z(y) = 12*d(y) + 5*u(y). What is the derivative of z(w) wrt w?\nAnswer: 184*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 8449538.\nAnswer: -3\/8449538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0093814 decades to months.\nAnswer: 1.125768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 6*f + 12 = 0. Suppose f*j + 15 = -3*y, 8 = 3*y + y - 4*j. Let m(a) = -24*a - 3. What are the prime factors of m(y)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*o - 31 - 68, 144 = -5*f + 3*o. Let n be ((-18)\/f)\/((-46)\/(-42) + -1). Solve n*u + 12 = 2*u + 4*z, -u + 9 = 3*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-9))\/(u*u*u**0)*(u*u**(-2\/7))\/(u*u**(-2\/9)*u))**4 assuming u is positive.\nAnswer: u**(1748\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/5 + 13*d**4\/3 + 80*d**3\/3 + 33*d - 3. Factor u(v).\nAnswer: 4*v*(v + 5)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5041 times 87?\nAnswer: 438567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5675 and 3025456?\nAnswer: 75636400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 39 - 128*p + 56*p + 65*p. Let t be n(6). What is the units digit of ((-32)\/t)\/(-4)*(-174)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.5 (b) 0.4 (c) 0 (d) 5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 times -9?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(208) + 2 + 1 + sqrt(208) + 1 + sqrt(208) + 0)*3)**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-445)\/(-89))\/(10\/8). Solve 0 = i*s + 3*l + 3, 4 = 3*s - l - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j = 19*j + 35. Calculate the lowest common multiple of (48\/10)\/((j - 4)\/45) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 1. Let x be t(1). Let y = 40 - 8. Let u be (-3)\/(-1)*4\/y. Is u > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.25 - 0.25. What is the biggest value in -12, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2 = -i, 250*i = 247*i - h - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4 = 3*b + 4*i, 5*b - 3*i + 37 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -247036 + 779?\nAnswer: -246257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5693*l**3 + 4944?\nAnswer: -17079*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/6067 + 30479\/436824. Let x = j - 7\/24. Suppose 0 = -3*f + 3, -6 + 51 = -3*l + 3*f. Sort -3, x, l.\nAnswer: l, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41365865 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1133 - 1128. Put -58, 4, 7, x in descending order.\nAnswer: 7, x, 4, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 704, -1138, -1 in increasing order.\nAnswer: -1138, -2, -1, 5, 704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from gsgggvvvsgvsdsgsws?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*w**4 + w**2 - 192*w - 8433 wrt w.\nAnswer: -12*w**3 + 2*w - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 142 = -86. Let o = 60 - b. Calculate the least common multiple of o and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112584, -225174, -337768, -450366, -562968?\nAnswer: -675574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19736?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.049? (a) 5 (b) 2 (c) -0.1323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 7*y = -15*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -95 + 14 - 14 + 6*y. Let v(d) = -d + 19. What is 2*s(l) + 11*v(l)?\nAnswer: l + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 6 + (-24 + 16 - 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 2, n: 1, w: 3, e: 4}. What is prob of sequence fn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 771*x**3 - 49*x - 213?\nAnswer: 4626*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -567, -568, -569, -570?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 8672\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:04 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6978320 and 11339770?\nAnswer: 90718160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7048111786?\nAnswer: 2, 3524055893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -67, -149, -255, -379, -515?\n\"Answer: p**3 - 21*p**2 + 4*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32aa (base 11) to base 6\nAnswer: 32055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {e: 1, f: 1, h: 1, u: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -43*n**3 + 4*n + 5. Let v(m) = 37*m**3 - 3*m - 4. Let r(d) = -6*q(d) - 7*v(d). Give r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 40*h - 79. Determine d(-38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + k + 46 = 0, 6*j - j + 4*k - 115 = 0. Are 23 and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 325 + -317. Let p be 100\/c - 3\/(-6). Solve 3*n = 6*h - h - 27, n + p = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9))**11*(f**(5\/2))**(-2\/35))**(-10) assuming f is positive.\nAnswer: f**(1630\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 4*f + f - 6. Let a be u(4). Let b = -949 + 954. Solve 21 - a = -b*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Let g be 11\/m + 4\/12. Suppose g*j - 5*f - 57 - 48 = 0, f = -1. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*g - 3*o, 2*g + 2*o = -3*g - 24. Let p be ((-9)\/6)\/(g\/(-16)). Let a(u) = u**2 - 5. What are the prime factors of a(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -14. Suppose 2*y + 5*t = 12, 2*t - 14 - k = -5*y. Let q = 8 - y. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 15*p**3 + 13*p**3.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 88*s + 32. Let b(x) = 527*x + 193. Let t(a) = 6*b(a) - 34*f(a). What are the prime factors of t(7)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -24. Suppose i*z = 4*p - 599984, -z + 5*p = 3*z + 799980. What is z rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47007 by 107.\nAnswer: -47007\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55.34177ng?\nAnswer: 0.05534177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 15*q**4 - 85*q**3 + 170*q**2 - 140*q + 40 = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396220345?\nAnswer: 5, 2909, 27241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*p**3 + 1794*p**2 + 3*p - 8675923.\nAnswer: -24*p**2 + 3588*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -699886*h - 84273.\nAnswer: -699886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*d**3 + 173784*d**2 - 110987581*d + 18025155006.\nAnswer: -(d - 18654)*(3*d - 983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11290499 a multiple of 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 3*g**3 + 4 - 11*g + 13*g to t*g**2 + x*g**3 + a + d*g and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.82596458 to three decimal places.\nAnswer: -12.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**3 - 3*z**2 + 41*z + 43. What is x(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)\/u)**22*(u*u*(u*u\/u**3)\/u*u)\/((u*u\/u**9)\/u) assuming u is positive.\nAnswer: u**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1764 divided by 6.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -2\/7, 117\/35, 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 0 (c) 4\/5 (d) 0.12 (e) -53\/7 (f) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/2)\/(p\/p**(-2\/37)*p) assuming p is positive.\nAnswer: p**(-41\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:30 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 3*w**7\/280 - w**6\/120 - w**4\/6 - 13*w. Let v(n) be the third derivative of x(n). Find the second derivative of v(d) wrt d.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62783 + 62788.3333. Round l to two dps.\nAnswer: 5.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*42*(-1176)\/(-24) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0868 - -0.0868. What is the third smallest value in t, -1, -0.2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jde when three letters picked without replacement from {x: 2, d: 2, j: 2, l: 3, e: 6, k: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5625331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 24342\/8904 - (-5 + -1). Let s = v + -6\/371. Which is the nearest to -5? (a) -0.2 (b) 7 (c) 1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.313 - -6.713. Which is the closest to -64? (a) 0.5 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68\/91? (a) 2\/9 (b) -0.1 (c) -12\/11 (d) -0.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 40*w**3 + 2*w - 1. Suppose -3*z - 6 = -3*t, 0 = t - 6*t - 5*z. What is the remainder when 80 is divided by v(t)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1039 divide 71322155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-10 + 0)\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**4\/3 + 1984*n**3\/3 - 110092*n**2\/3 - 1984*n\/3 + 36698 = 0.\nAnswer: -1, 1, 59, 933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 78 + -65b2?\nAnswer: -6537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-1240))\/(3\/(-90)))\/4.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*5\/20\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13090 and 57970?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - c = 325202, 2*n + 2*c + 3*c = -162610. What is n rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17427 and 0.7.\nAnswer: 17427.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**3 + 99*i**3 - 82*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 523 - 3667\/7. What is the common denominator of -70\/3 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**3 - 12*r**2 + 11*r + 1. Let y(m) = -6*m**3 - 14*m**2 + 12*m + 1. Let j(h) = -7*v(h) + 6*y(h). Let w(q) = 7*q**3 - 6*q. What is 5*j(i) - 4*w(i)?\nAnswer: 2*i**3 - i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*r**3 + 11*r - 11*r + 2 - 2 + r**3 + (r**2 + r**3 - r**2)*(-4 + 2 + 0) - 4*r**3 - 3*r**3 + 5*r**3 + 6*r**3 - 1 + 1.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.969553 weeks in days?\nAnswer: 62.786871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 16457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + h + 6. Let r(b) = -b**2 + 468*b - 4. Determine -r(k) - v(k).\nAnswer: -k**2 - 469*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 65 + -59 - (-119)\/(0 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (-3)\/(-7) - 9754\/(-7)?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9846793, 19693588, 29540383, 39387178, 49233973, 59080768?\nAnswer: 68927563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 78530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a = n + 405 + 1084, 4*n + a - 54 = -16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5791 or -1?\nAnswer: -3\/5791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 120222 (base 3) to base 15\nAnswer: 1db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23*(-3 + 1)*6\/(-12). Let q be (34 - d) + 0\/1. Solve q*v = 3*v - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289 and 19195091?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 6:31 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s**1*s*s)\/s))\/(s**(1\/4)\/s)*((s*s\/s**1*s*s)\/s)\/s**(-4) assuming s is positive.\nAnswer: s**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 11:28 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 20*m**2 - 17*m - 35. Suppose 7*w - 3*w + 5*b = 103, 138 = 5*w - 3*b. What is the smallest common multiple of s(19) and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*b = 19, 2*b - 4 = -2*b. Let t(n) be the second derivative of -n**3\/6 - 5*n**2\/2 - 2*n. Let f be t(w). Is f != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 1, u: 1, z: 1, i: 1}. What is prob of picking 2 z, 1 u, and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1663 + -9119340.\nAnswer: -9117677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:51 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) - (sqrt(1700) + 0)).\nAnswer: -9*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-7))\/(2\/(-6)))\/(9\/10).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317914.\nAnswer: 2, 41, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/20 (b) -1 (c) -2\/15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 2*v**2 - v + 1. Let q be l(-2). Let r be (q\/28)\/(18\/512). Let k = 26\/7 - r. Which is the nearest to 2? (a) -1 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, y: 1, j: 2, h: 1, g: 1}. Give prob of sequence ghg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081 is divided by (3228\/(-10))\/((-1073)\/(-145) + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*v**3 + 89*v**3 - 33*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p - 4. Let u(m) = -15*m - 7. What is -7*r(q) + 4*u(q)?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31653, 31670, 31693, 31722?\nAnswer: 31757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -17 (b) 3 (c) 3\/2 (d) -0.259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 39.643034 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 1. What is the remainder when -45*3\/((-36)\/8) is divided by y(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-108)\/(-44 - -26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.01990995.\nAnswer: 0.00398199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 324 = 162 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809 = -12*v - 17. What is the remainder when v is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1263 or 1592298\/1261?\nAnswer: 1592298\/1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 - 8) + -2 + 2. Suppose 2*c + 8579 = 3*z - 0*c, -t*c = -z + 2848. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -701\/7. Let h be (3\/6)\/(6 - 3). What is the second biggest value in h, g, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -5. Let p = 0.12 + -0.07. Let f = 0.05 + p. What is the closest to f in 2, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*y**2 + 82*y**3 - 83*y**3 + 5 + 1 in the form v*y + j*y**3 + g*y**2 + m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 151.8.\nAnswer: -136.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, p: 1, l: 2, b: 5}. Give prob of sequence xl.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 474, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - (-3)\/(-2). Let y = 1.1 + 3.9. Which is the nearest to 1? (a) y (b) n (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -6*68*176\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -85*o - 134*o + 213*o - 10. Let a(p) = 6*p + 9. Determine -6*a(y) - 5*n(y).\nAnswer: -6*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Let s(y) = -y - 6. Let x be s(-5). Which is the third biggest value? (a) x (b) t (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/2 - 1651*d**2 - 424802*d - 842996 = 0. Calculate d.\nAnswer: -238, -2, 3542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.003 + 0.097. Let u = 200\/3 + -3794\/57. Sort 2, 2\/3, w, u.\nAnswer: w, u, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k + 3*f - 73776, -5*k = -51*f + 53*f - 30734. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 + -147613?\nAnswer: -147651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from cccccccscccc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i - 5*s - 459, s = i - 237. Calculate the remainder when i is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84711 and 61608?\nAnswer: 677688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert b662b8 (base 12) to base 3.\nAnswer: 12101221010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -44. Calculate the remainder when 57 - (-12)\/(-4) - i is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -153*l - 30117. What is k(-198)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, and 1 p when three letters picked without replacement from cvnvvcpnwnwqcvn.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332 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: What is 67a (base 11) in base 4?\nAnswer: 30231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 - (-26)\/(-39). Let q be (z + 13)\/((-14)\/(42\/(-6))). Let l(y) = -12*y**2 + 11 - q*y**2 - 11. Let b(x) = x. What is l(b(g))?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-224)\/784 + 450\/7. Calculate the highest common factor of 44 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f. Sort 1, 2, f in ascending order.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - 133\/(-9). Let s = 6 - r. Let n = s - -13. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 469, 1342, 2795, 4828, 7441, 10634, 14407?\n\"Answer: 290*n**2 + 3*n + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749, 3145, 7189, 12893, 20269, 29329, 40085, 52549?\nAnswer: 66733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 + 87 + -7 + 26 + -31?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33302, 33299, 33294, 33287, 33278, 33267, 33254?\n\"Answer: -r**2 + 33303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgq when three letters picked without replacement from gqgggggjjjjgjjqjjg?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -190*i**3 + 7*i + 1 - 91*i**3 - 4*i - i. Let y be s(-1). Suppose -2*d + y = 5*d. Calculate the remainder when 77 is divided by d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47098, 94213, 141350, 188509?\nAnswer: 235690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(128) + 1) - (5*(sqrt(2) - (sqrt(2)*2 - sqrt(2))) + sqrt(2) + -4 + -1 + sqrt(2)))*-5)**2.\nAnswer: -1700*sqrt(2) + 57825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*n + 6. Suppose -g + n = -1. Sort 1, g, 3 in ascending order.\nAnswer: 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -262? (a) -11\/8 (b) 15 (c) -0.4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19045074 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 2*a + 4*a)*(-3*a**3 + 4*a**3 - 3*a**3 + (0*a + a + a)*(3*a**2 + 0*a**2 + 0*a**2)) as z*a**2 + d*a**3 + x*a**4 + n*a + q and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4193\/(-3246) + (-8)\/(-6) and (-28*24\/960)\/((-4)\/(-45))?\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-267)\/(-525) + 9\/(-21). Let q = t + 21\/50. What is the second smallest value in -2\/3, q, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 - 2*i + 1. Let g = -45 + 49. Suppose g*o - 16 = 4*u, -4*o - 2*u + 2 = -o. Give m(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + 0 + sqrt(275) + -1))**2.\nAnswer: -40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(200)*3*-2)\/((sqrt(196) + -2*sqrt(196) + sqrt(196) + sqrt(196))*6 + sqrt(196)).\nAnswer: 90*sqrt(2)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 41 + 4\/35*k**5 + 0*k - 10\/7*k**2 + 44\/21*k**3 - k**4. Find r, given that i(r) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9346 divided by 3?\nAnswer: -9346\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*d - 0*d, 0 = d - 3. Solve -o*f - 4 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 24 = 4*w + d, -w = -5*d + 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/32*36\/20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-16))*u)**(3\/25) assuming u is positive.\nAnswer: u**(51\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*g + 4*r + 40, -3*g + 5*r + 44 = 0. Suppose -13*n - h = -g*n + 9, -2*h + 2 = 0. What is the biggest value in 1, n, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -3\/10*z**6 - 3\/10*z**5 + 3\/2*z**3 + 0 + z + 3\/2*z**2 - 1\/14*z**7 + 1\/2*z**4. Find k such that h(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/222)\/((-10)\/40). Suppose 2*u - 6 = -3*t - u, 37 = 5*t - 4*u. Let g = t + -4. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2741.5 and -1661.\nAnswer: 4553631.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-236)\/(-295)*1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(121) - (sqrt(121) + sqrt(121)*2)))\/(sqrt(11) + (sqrt(132)\/sqrt(3))\/sqrt(4)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (-2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35725*g**5 + 2*g**3 + 28*g**2*r - 6*g*r - 2086595*r wrt g?\nAnswer: 714500*g**3 + 12*g + 56*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135 + (145 - 143) - 19.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35 and 11\/(-330)*1030\/(-18).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 431 + 431.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6025 * -0.4.\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223946193?\nAnswer: 317, 1951, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -270.98 and -6?\nAnswer: 264.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/sqrt(192))\/sqrt(8))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2324183 (base 10) to base 6.\nAnswer: -121452035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39752643?\nAnswer: 3, 7, 1892983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -68, 9 in decreasing order.\nAnswer: 15, 9, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*i - i. Let x = i + 1. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276207100 rounded to the nearest 100000?\nAnswer: -276200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -122, -127, -132, -137?\n\"Answer: -5*p - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17883442?\nAnswer: 2, 43, 207947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/((-12)\/9))\/1. Suppose -5*c + 165 = -0*x - 5*x, 2*x + 162 = 5*c. Suppose f*u + c = 7*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*h - 15 + 241 = 0, 4*h = -2*l + 234. Let n = -49 + l. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*(g**(2\/7)\/g)\/g))\/(g\/(g*g**(4\/7))))\/(g**(-2\/7)*g*g*g\/(g\/g**3)*g*g*g))**(-3) assuming g is positive.\nAnswer: g**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6611 or -6677?\nAnswer: -6611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m - 6. Calculate the lowest common multiple of 8 and p(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -103276\nAnswer: -103271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2496)*-1)\/sqrt(3) + (sqrt(208) - (sqrt(208) - 1*sqrt(208)))\/(-2*sqrt(324) + sqrt(324)).\nAnswer: 70*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19730, -1, 79.\nAnswer: -19730, -1, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4322 + 9950. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 36792*g + 110341. Determine u(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.06 - -0.06. Let y = t + 1.02. Let p = y + -0.0075. What is p rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6457 + 6460. What is the nearest to -2\/17 in 2\/43, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 25. Suppose -12*a = -7*a - v. Suppose a*h - 138 = -o - o, 3*o - 213 = -h. What is the highest common factor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/4 and 89\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.4086 to one decimal place.\nAnswer: -47.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021*n**2 - 15 - 22 + 5*n + 39.\nAnswer: -1021*n**2 + 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3268, -13278, -30028, -53518?\n\"Answer: -3370*w**2 + 100*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(4\/20*-1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1848 + 1855. Solve 18 = -n*t + t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3365 and 2074859.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 0.385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4111.269t?\nAnswer: 4111269000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -851 divided by 23.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6549\/2602295 + -1\/15965. Let k be 153\/(-54)*(-7672)\/1630. Let v = k - i. Find the common denominator of v and 19\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 117*p**2 + 117*p + 122. What is u(-116)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - -67. Let k = a + -69. What is the greatest common divisor of 198 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6989 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -18. Let t = 72 - 57. Let o = w + t. Calculate the lowest common multiple of 22 and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1686911441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/((-14560)\/1950)*22*(-2)\/12.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(17) + 0 - (sqrt(272) + 2)))**2.\nAnswer: 150*sqrt(17) + 3850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1620 and 39208476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a factor of 12439202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3874 and 520?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1688.4 + 245.6198.\nAnswer: -1442.7802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -92675 + 2?\nAnswer: -92673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 664756138 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -1918, -4293, -7608, -11857, -17034?\nAnswer: -23133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -6.5?\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839139117.\nAnswer: 3, 1907, 146677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 21. Let n(c) = -c**2 - 8*c + 4. Let d be n(-9). Let r = d - x. What is the nearest to 0.1 in 0.3, 3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6748\/27 - -250. Let u be ((-4)\/20)\/((-1)\/25). Suppose 5*q = 25, 0 = r + r - u*q + 25. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2225023 minutes in hours?\nAnswer: 0.037041705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46 + 207538?\nAnswer: 207492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 6*x**2 + 3*x - 11. What is the remainder when 82 is divided by r(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z. Let h(d) be the second derivative of 95*d + 0*d**3 + 23\/12*d**4 + 0*d**2 + 0. Calculate w(h(y)).\nAnswer: 161*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 100.3.\nAnswer: 200.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 14812?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*b**5 - 18*b**2*p*x - b**2*x + b*p*x - 1146*b*x wrt b.\nAnswer: 980*b**3 - 36*p*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1135*w**2 + 527*w**2 + 604*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3198022, -6396205, -9594388, -12792571?\n\"Answer: -3198183*i + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -60473\nAnswer: -241892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15148 by -28.\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Let o(k) = -4*k**2 + k**2 + 4*k**2 - 4*k**2. What is o(z(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*r - 546, -4*r - 25 = -33. Let v(f) = f**3 - 6*f**2 + 2. Let j be v(6). Suppose 0 = h + 5*n - k, -h + 4*n = j*h - 787. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 13*b + 97. What is y(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1 + 5 - 2*k + k + 0*k**3 + k**3. Let t be m(0). Let a(v) = v - 12. Let o be a(7). Sort o, -3, t.\nAnswer: o, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150890 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-5 - 1 - (13 - 15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*v - 4*x + 76, 0 = 4*v + 3*x - 145. Solve v*a = 114*a - 154 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -16791*g - 16789. Give p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -43*v - 115. Let l be i(-4). What is the closest to -1 in -3\/4, 3\/5, l, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16 + (-2)\/(-4)*-2. Suppose 3*y = -5 - 4. Let z = y + f. What is the smallest common multiple of 20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/3)*o)\/(o\/(o\/o**7)))\/(o**0)**(1\/46))\/((o**1)**(-2))**(-9\/2) assuming o is positive.\nAnswer: o**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -50*f**2. Let w(y) = -12*y**2 + 8*y. Give w(s(i)).\nAnswer: -30000*i**4 - 400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -48.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-55))\/((-2)\/(-25)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002739711978 rounded to seven dps?\nAnswer: -0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + d = -d, -3*c + 8*d = 7*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/9 - ((-116)\/(-36) - 3). Let i(k) = k**2 - 11*k - 100. Let q be i(s). Which is the closest to 11? (a) -1\/4 (b) q (c) -3\/4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*(-18)\/63. Let h = -2\/81 + 77\/2025. Let d = h + -53\/225. What is the nearest to d in 3\/7, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141820*j**2 + 96192*j + 2?\nAnswer: 283640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k + 240879262 + 53797094. Let g be ((-2344)\/(-20))\/(1\/(-299210)). Let q = g - k. Round q to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863474539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 8. Let v be (-4)\/20 - (-41)\/5. What are the prime factors of q(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**6\/1080 - g**5\/540 - g**4\/216 + g**3\/54 - g**2 + 11. Factor y(j).\nAnswer: (j - 1)**2*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 3*j**2 + 18*j - 9. Is 63 a factor of c(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -62, 2\/11, 1, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -36, -75, -128, -195, -276?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 15270*c - 11658645.\nAnswer: -5*(c + 1527)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(55)\/(sqrt(20)\/sqrt(4)) + sqrt(99)*4 + sqrt(11) + (sqrt(132) + (sqrt(132) + sqrt(132)*-1)*-4)\/(2*sqrt(1452))*-6.\nAnswer: -3 + 151*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*d - 6 = 0, 6 = -5*z - 4*d + 17. Let n be 2\/z + (2 - (-25)\/(-15)). Put -14, 2, 0, n in increasing order.\nAnswer: -14, 0, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -19*v**3 - 16*v**2 + 2*v - 4. Suppose -128 = r - 123. Is c(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + 43.8. Let q = 40.2 - d. Put q, 0.1, -2, -3 in descending order.\nAnswer: q, 0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d0210 (base 14) to base 3\nAnswer: 1221201101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30595149 - 1.2748.\nAnswer: 30595147.7252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**16*(f\/f**(-6))**(-2\/25))**11 assuming f is positive.\nAnswer: f**(-8954\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 47, -2, 3 in increasing order.\nAnswer: -2, 3, 5, 10, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26323464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5937, 23523, 52835, 93873, 146637, 211127, 287343?\n\"Answer: 5863*j**2 - 3*j + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - j - 2 = 12, 0 = -4*q - 5*j - 12. Let l(c) be the third derivative of c**q + 1\/24*c**4 + 0 + 0*c**3 - 1\/120*c**5 + 0*c. Factor l(d).\nAnswer: -d*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4030057352 and 344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 1\/24 in decreasing order.\nAnswer: 1\/24, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 67992?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2\/5 + 8*g + 128\/5 = 0?\nAnswer: -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*2*(-2)\/8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2744, -2739, -2720, -2681, -2616?\n\"Answer: d**3 + d**2 - 5*d - 2741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -462 - -454. Let s(w) = w**3 + 7*w**2 - 9*w. What is s(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127 is divided by 354.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -11, 3, -47, -400 in decreasing order.\nAnswer: 3, -3, -5, -11, -47, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 360543660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000857546169 to 7 decimal places.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -258974 or -3366652\/13?\nAnswer: -3366652\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y + o = -13, 5*y - 4*o + 32 = 0. Let h be 1\/((16\/(-132))\/y). Let w = h + -10. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/7 + 5382*f**2\/7 - 3623430*f\/7 + 3618050\/7 = 0.\nAnswer: 1, 1345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 214*c + 215.\nAnswer: -(c - 215)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704 = -422*p - 140 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9686799 weeks to microseconds.\nAnswer: 585857603520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -85. Suppose -2*r - m - 127 = -3*o, 2*r - 222 = -4*o. Calculate the smallest common multiple of 56 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + l + 3 - 5 = 3*p, 0 = -l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 2:28 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 2*p**2 + 0*p + 367\/120*p**6 + 1\/6*p**3 + 1\/60*p**5 - 1\/12*p**4 + 0. Is i(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 83*m**5\/30 - 51*m**4\/8 - m**3\/3 + 130*m**2 - 1. Find the second derivative of r(q) wrt q.\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 7260?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/175, 0.5, -13, 0.053, -2?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505413421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/3 + k**3\/2 + 9*k. What is the second derivative of r(s) wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 4*a**3 + 2*a**2 - 4*a - 3.\nAnswer: (a - 1)*(a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11445, -31415, -59911, -96933, -142481, -196555, -259155?\n\"Answer: -4263*c**2 - 7181*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 z when four letters picked without replacement from {z: 1, r: 1, g: 3, q: 5, j: 6, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.4, 1\/3, 0.5, -44\/7, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 211464?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 + ((-20)\/16 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 1438043?\nAnswer: 1438049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111334?\nAnswer: 2, 7, 163, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + ba8?\nAnswer: bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 2, a: 1, p: 5, o: 6, h: 5}. Give prob of sequence joa.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*d - 673 - 163, -2*d = 5*q - 1370. Calculate the highest common factor of 34 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 0*h**2 + 54 - 31*h + 1\/3*h**3. Let c(d) = -2*d. Give c(y(r)).\nAnswer: -2*r**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1331)*-1)**2 - ((sqrt(1331)*-2 + sqrt(1331))**2 + 1))*4.\nAnswer: 42588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 2. Let g = -5 - -3. Let d be g*4\/((-32)\/(-20)). Let t be p(d). What is the highest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - -2 - 8) + (183 - 42 - 86)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 14. Let t(u) = 14*u**3 + 2*u + 1. Let p be t(-1). Let a be q(p). Let i be (3\/(-6))\/(a\/6). Solve 2 = 5*h - i*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255721.292s in weeks?\nAnswer: 2.07625875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12) - 876\/(-216)) + -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {d: 5, p: 4, k: 1, u: 1, f: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3948 and 1050?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7678524 decades in centuries?\nAnswer: 0.07678524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 - 450 - 7*g + 5*g.\nAnswer: -2*g - 576","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 695*n + 9300.\nAnswer: 5*(n - 124)*(n - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, 36, -0.01, 3\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**4)**29\/(((n**(1\/8)\/n*n*n)\/n)\/(n\/(n\/(n*n**6))*n)) assuming n is positive.\nAnswer: n**(-169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u + 0 + 2*u**4 - 37\/6*u**3 - 76*u**2. What is the first derivative of h(p) wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 10) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -18, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(84)*-2*-5)\/(5*sqrt(36)\/sqrt(3)).\nAnswer: -4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2 + 1682*g = 0?\nAnswer: -1682, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 - (-4)\/(56\/(-70)) is divided by 44?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1780\/9 at most as big as -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 5 - 120\/(-10). Suppose f*w = 14*w - 14550. What is w rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 3*l - 2\/3*l**3 + 0 - 5*l**2. What is the remainder when 51 is divided by g(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 30 = 3*y. Let p be (-32)\/(-20)*y\/4. Let h(w) = 2*w - 6. Give h(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.147245, -14, 3.\nAnswer: -14, -2.147245, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) - (sqrt(11) + 2)*2)**2)*-3 + 3*-1*(sqrt(11)*-2)**2.\nAnswer: -213 - 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 975.3245 nanometers?\nAnswer: 0.00009753245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/7 - 179370*y**2\/7 + 5379412*y\/7 - 1434480 = 0?\nAnswer: 2, 28, 89655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5\/4 - 441*j**4 + 86433*j**3 - 5645388*j**2 - 345744*j + 22588608 = 0.\nAnswer: -2, 2, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -47. What is the remainder when (-1)\/((-210)\/(-106) - 2) is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let m(t) = -t**3 - 6*t**2 - 4*t + 3. Let g be m(-5). Let x be (-9)\/(-6) + (-1)\/g. Solve 2*i - x*s - 18 = 0, r = 5*i + 3*s - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.382 - -0.328. What is v rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/11 + 1923*a**2\/11 - 101655*a\/11 + 1362501\/11 = 0. What is a?\nAnswer: 27, 1869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -3*m**2\/2 - 16*m + 9. Let t be s(-7). Solve t*a + 31 = 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2552825*l + 76584746. Give v(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**7\/2520 - 7*a**6\/360 + a**5\/120 - 17*a**4\/12 - 9*a. Let t(d) be the third derivative of b(d). Is 7 a factor of t(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 108 = 4*o, -5*m + 6*m + 70 = 3*o. Calculate the remainder when o is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6561*w + 7775*w - 18131*w + 2*w**2 + 6686*w as t + s*w + r*w**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29472, 117892, 265260, 471576, 736840, 1061052?\nAnswer: 1444212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12978189?\nAnswer: 3, 7, 29429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 + 4 - 2 + 3*d**3 - 1 in the form v*d + z*d**2 + j + y*d**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 8*n + 1458 = 0. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873009462 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -105 + 100 - (-7 - 10) - (2 + 80)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/12)\/(1 - -2). Let d = 110 + -165. Let u = d + 58. What is the nearest to -2\/5 in u, 2\/9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 11*p**2 + 2*p + 1. Let t = 4 - -4. Is l(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i**2 - 5*i)*(46 - 46 + 9*i**3).\nAnswer: -45*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 780 divide 11295180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002100120 (base 3) in base 9?\nAnswer: -32316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*i**3*o**3 + 71*i**3*o**2 + i**3 + 13*i**2*o**3 + 1208*i*o**2 - 27*o**3 wrt o?\nAnswer: -354*i**3 + 78*i**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 10184?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*u = -1056*u + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8119, 8956, 9793, 10630?\nAnswer: 11467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*15\/(-6)*4\/220.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 3. Suppose 3*a - 4*a = -c + 12, 5*a + 30 = -c. Suppose 0 = 6*k + 8 + 4. Let u(b) = -1. What is a*u(p) + k*d(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-375)\/875*7*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-6) + -4 + (-33)\/54\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39305.57um to millimeters.\nAnswer: 39.30557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100100100 (base 2) to base 10\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 371583983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 + 10 = 4*b, 5*b = 3*k + 1. Let q be (b + 2)\/(-1)*-1. Is q\/3 + (-112)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:23 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/35*(-24 - (-14 - -4)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 204687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1*-5*6\/(-360)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -1 - (47 - 42)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 152 = -j - 12*o, 5*j + 5*o = 660. Are 255\/2 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 232 - 241 = 0. Solve -i = 4*i + 3*r + 16, -a*i + 4 = -5*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z**3 + 8*z. Let q(g) = 6*g**3 + 3*g. Let c(f) = 9*f. Let n be c(-22). Let x be n\/(-54) - 2\/3. Give x*m(t) - 8*q(t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3614953, -7229950, -10844951, -14459956, -18074965, -21689978?\n\"Answer: -2*l**2 - 3614991*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -20, -28, -30, -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119350?\nAnswer: 2, 5, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 1\/24*l**4 - 2\/3*l**3 + 0 + 0*l + l**2. Is b(8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 33*x**2 + 1490*x - 116. Let j(b) = -22*b**2 - 993*b + 78. Let l(p) = -5*h(p) - 8*j(p). Give l(-45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 - 6.5\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97635*t**2*u - 80*t**2 - 232074959*u wrt t.\nAnswer: -195270*t*u - 160*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 202\/101*(2\/((-8)\/18))\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from sfluzyu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3 + 1. Suppose 2*t + 10 = 7*t. Let p(s) = -4*s**t + 3*s**2 + 4*s**2 - s**2. What is p(g(b))?\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12507*p + 12665*p + 3160 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/(-8)*(0 - -2). Suppose 10*k - 27 = s*k. Calculate the lowest common multiple of k and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 38*b - 40. What is the units digit of k(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 272?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9466932 and 1212?\nAnswer: 9466932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 13*x + 32. Let j be n(-3). Let m(r) = -63*r**j + 70*r**2 - 2*r - r**3 - 5*r - 1. What is m(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3385.\nAnswer: 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 0.32\nAnswer: 8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -121237 (base 8) in base 2?\nAnswer: -1010001010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/4)\/5 + (-596)\/(-8). Suppose -3*y - b = -219. Let f be -1 + (-6)\/14 + y\/14. Solve 0*x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 162284*r**2 - 27*r + 2. Is c(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-16)\/(1440\/(-13419)) + 3\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(55)*-6 - sqrt(55)))\/(sqrt(25)\/(sqrt(80)*2 - sqrt(5))) + 2.\nAnswer: 2 + 245*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 213788 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 8*b + 110. Is 7 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11 + 7 + x - 2 - 2*x. Suppose 85*t + 42 = 99*t. Let r(s) = 3. Give t*z(p) - 15*r(p).\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 l when three letters picked without replacement from {m: 9, l: 9}?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1029.465 + 0.535. Which is the fourth biggest value? (a) s (b) 3 (c) -0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -8) + -8 - -10 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.03 - 0.06?\nAnswer: 28.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 36) + 15 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbgbbbbggbbbbgbbbb. Give prob of sequence bg.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 6 = -8*l. Calculate the least common multiple of 18 and (-2)\/(2\/l) - -25.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -59\/304 (b) 2\/3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 164151557?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**3 - 22*i**2 + 128. Let g be (-2 + -1)\/(-6)*(10 + -12). Let q(f) = -f**2. Let p(n) = g*o(n) - 2*q(n). Factor p(w).\nAnswer: 4*(w - 2)*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200535871?\nAnswer: 467, 429413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3 = -3*n, 2*n - 5*f = -37 + 19 - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w + 7. Let y be i(-4). Let o = 444 + -445.4. What is the nearest to y in -0.5, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (22 + 131)) + (-11 + 36 - 12)\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2. Let r(v) be the second derivative of 29*v**3\/6 - 376*v. Give r(h(x)).\nAnswer: -87*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65573130 = -88*d + 65581666 for d.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 7:48 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 3*l - 4. What is j(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -9*f - 48. Let j be 14\/10 - f\/(-70). Let p(h) = 6*h**3 + 3*h**2 - 6*h + 3. Is p(j) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7373, 14610, 21833, 29036, 36213?\n\"Answer: -m**3 - m**2 + 7247*m + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 51*v**2 + 2. Let d be 2\/(-16) - ((-1837)\/(-88) + -23). Let s(o) = 1. Give d*s(p) - n(p).\nAnswer: -51*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -3*y**5\/10 + y**4\/12 - y**2\/2 + 7*y. Let v be c(-1). What is the units digit of (-1048)\/(-24) - (-2)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -31, -173, -445, -889, -1547?\nAnswer: -2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 1102?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let z(m) = 2*m + 1. Let f(h) = 105*h + 60. Let t(u) = -3*f(u) + 180*z(u). Give w(t(b)).\nAnswer: -45*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*m - 93, -4*m + 99 = -f - 0*f. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139477231 divided by -11441\nAnswer: 12191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 != 132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.13 + -0.13. Let l = 0.1 - 0.1. Which is the third smallest value? (a) -5 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 51?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/4 + 1101*q**2\/4 + 75884*q + 75609 = 0. What is q?\nAnswer: -558, -542, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-36)*(-8)\/(-3) and (-49)\/45 - 60\/(-300)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/9 - 805*m**4\/9 + 57881*m**3\/3 - 505483*m**2 - 2049552*m + 10184292 = 0. Calculate m.\nAnswer: -6, 3, 34, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2539963 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: Which is greater: 33886538 or 101659613\/3?\nAnswer: 33886538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235 - -202. Let u = s - -28. Let c(z) = 5*z**3 + 2*z**2 - 1. Let n be c(-1). Are u and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-72) + 1\/2. Which is the closest to -1\/3? (a) g (b) 1\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37443 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h**3*m**2*v**2 - 2*h**3*m + 79*h**2*m**2*v + 3*h*m**2*v - 2*h*m*v**2 + m**2*v**2 wrt v.\nAnswer: -34*h**3*m**2 - 4*h*m + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13*w**3 - w**2 - 18 - 15 + 5*w + 5*w**3 + 45. List the prime factors of y(-2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -5193.\nAnswer: -10\/1731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {p: 3, m: 2, t: 6, u: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328 - 212. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) - (-8)\/4. Suppose y*j - 6 = 70. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007827898 rounded to 7 dps?\nAnswer: -0.0000783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4673006.51 to the nearest one thousand.\nAnswer: 4673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 - 106.67. Let n = 0.13 - o. Let g = n - -1.4. Which is the third biggest value? (a) -0.1 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950129501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from {r: 3, h: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/20 and 53\/1672?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 4*r + 2. Let t be i(-2). Suppose t*h = 5*h - 5646. Suppose -4*o + 1523 = 5*b, 0*b = -5*o + b + h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -147? (a) 13 (b) -4 (c) 2 (d) 0.08 (e) 36 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236108 is divided by 15724?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**5 + 8*t**3 + 8*t - 9 wrt t.\nAnswer: 20*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwm when three letters picked without replacement from wdwcgccwmcdggcgccdc?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 10*a**2 - 23*a + 7. What is q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -39829033?\nAnswer: -39829029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10865057.\nAnswer: 7, 17, 91303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - p**3 - 3*p**3 + (678*p - 64*p + 112*p)*(-1 - 4*p**2 + 1) + 6*p**3 - 4*p**3 + 0*p**3.\nAnswer: -2904*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2963.5789 rounded to 0 dps?\nAnswer: -2964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 60772 and 2005441\/33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.46 + 0.26. Let g = -1 - -2. Let s be (g - 0)\/(-2 + 1). Sort i, s, 2.\nAnswer: s, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2714710620 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - h - 21 = 0, 5*h = 2*j - 0*h - 33. Calculate the greatest common factor of 32 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(2\/3)))**0)**(-2\/57) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 108 = -3*r, -5*t = 9160*r - 9164*r - 135 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 757055 (base 13) to base 16\nAnswer: 2a12b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, -3, -14, -23, -30, -35, -38?\n\"Answer: m**2 - 16*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(51)\/((sqrt(108)\/sqrt(3))\/sqrt(12)).\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -26*k + 16. Let i(t) = -t. Give a(i(z)).\nAnswer: 26*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -299*b**4\/4 + 306*b**2 - 319*b. Find the first derivative of q(g) wrt g.\nAnswer: -1794*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/4 + 9*a**4\/2 + 39*a**3\/2 - 14*a**2 - 279*a\/4 - 81\/2 = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -122 + -71546?\nAnswer: -71670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*o - 23 = -0*o + 3*o - 32 + 96, -5*o - 335 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*j + 2 = 0, -s - 70*j + 8 = -72*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 2182062608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -79, -0.1, 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 5323?\nAnswer: -5324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -2\/51 (c) -4 (d) 212 (e) -3 (f) 19 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 6232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1, 1, 3389 in decreasing order.\nAnswer: 3389, 18, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -363 - -508. Suppose t = 5*a - d, 2*d - 100 = -4*a + 6*d. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = z - 4, 8 + 8 = 3*v + 4*z. Let h(d) = -d**2 - d. Let c be h(v). Suppose c = -3*j - 290 + 1307. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160 - -163. Solve -4*p + 13 = u, -2*p = 2*p - w*u + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 2*x. Suppose c + 1 = -j, -5*j + x*c + 21 = -2*j. Let g = j - 1. What is the highest common factor of 6 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 5*g - 2*g. Let u = g - -101. Let s = u - 21. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-48))\/(1\/(-20)). What is the highest common factor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-273)\/52*96\/(-280)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = a + 3, 3*n + 2 = -5*a - 1. Suppose -4*v + 1 = -5*v. Let k = v - n. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 - 4aa8?\nAnswer: -4a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {w: 1, b: 5, z: 1, h: 5, p: 2, a: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 60*w + 10 - 18 - 57*w + 8. Let b(s) = 290*s. What is b(i(r))?\nAnswer: 870*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670515?\nAnswer: 3, 5, 44701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24636 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, 323, -1, 8 in decreasing order.\nAnswer: 323, 8, 5, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 - 4*s**2 - 7*s**2 in the form l + k*s**2 + m*s and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 704 - 224. Let b = -276 + g. Let v = b - 203.826. Round v to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-61 - -34) - 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, z: 10, x: 2}. Give prob of sequence zzg.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2017756 divided by 4.\nAnswer: -504439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1489, -2870, -4257, -5656, -7073, -8514, -9985?\nAnswer: -11492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 5 = 7*j. Suppose -j = -c + 1. What is the remainder when 16 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.872 and -207336?\nAnswer: 207340.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 2*2*sqrt(12) + 0).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-19 - -2)) + -25?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.04 + 73.61. Let w = 126 - 71. Let d = w - s. What is d rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c**5\/5 + 1176*c**4\/5 + 29859*c**3\/5 + 9000*c**2 - 38796*c\/5 - 37248\/5 = 0. What is c?\nAnswer: -97, -32, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.02 - 6. Let o = t - -0.11. Let p = -0.17 - o. Which is the third biggest value? (a) -0.5 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -217*q + 220*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2. Let x(h) = h**3 - 7*h**2 + 10*h - 12. Let d be x(6). Let z(m) = d*m + 9*m - 21*m - 26*m**2. Give l(z(j)).\nAnswer: 1352*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b - 5*q - 2, b - 2*q = 4. Suppose 11*u - b*u = 60. Solve 4*c = -0*c - 3*x - 7, -4*x = -u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 7:22 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 344*m + 4189. Determine c(12).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 32\/249 (c) 0 (d) 0.2 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 6. Let o(i) = i**2 - 7. Let u be o(0). Let n(k) = k + 3. Let s(b) = u*n(b) + 3*y(b). Let p be s(3). Solve -4*g = -p*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1305 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*h - 4*g, 5*h - 8*g - 31 - 57 = -121 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.3 (b) 0.11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 610 + -317. Let n = 1187\/4 - h. Let y = -79\/65 - -3\/26. Calculate the common denominator of y and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzbb when four letters picked without replacement from zzzzzzbzzbzbzzbzzzzz.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - r + r)*(2 + 2*r**2 + 11*r**2 - 3).\nAnswer: 13*r**4 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - p. Let u(w) = 5*w**2 - w + 1. Let m(c) = -u(c) + 3*y(c). Let k be m(-1). Let d = 7 + k. Solve d = -4*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321413357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2315 is divided by 233?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -98. Solve -5*l + n + 2 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 7*y - 8. Let d(z) = 2*z - 1. Suppose 8*b - 25 = 23. Let t(i) = 3*i - 2. Give b*t(r) + y*d(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -171 in -7.3, 15, -4\/3?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*s + 80, 10*i - 170 = 15*i + 5*s. What is the smallest value in -13, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, 5354, -3 in decreasing order.\nAnswer: 5354, 0.5, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -17. Let q(j) = -j**3 - 5*j**2 - 5*j - 4. Let z be q(x). Calculate the highest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2466 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2271 - -2279. Solve 5*v = 7*v - 2*w + f, 4*v + 25 = -5*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2129 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31448 - 596 = 6*t. List the prime factors of t.\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 5:42 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*k*s**3*y + 2*k*s**3 + k*s**2*y - 2*k*s**2 + 26*k*s*y - 5*k*y - s**4 + 6*s**3*y wrt s?\nAnswer: 192*k*y + 12*k - 24*s + 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*51\/(-119)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90911323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 0.051\nAnswer: -0.00255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(324\/(-1134)*14\/24)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = 5*i, -3*g + 5*i + 22 + 0 = 0. Suppose -2*a = -5*b - 129, a - 32 = 5*b + 95. Let o = b + 35. What is the highest common factor of g and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23881790784 + 0.159?\nAnswer: -23881790783.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-16)\/180 + (-15)\/(540\/(-92)). Put 964, 5, a in ascending order.\nAnswer: a, 5, 964","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b**3 + 2*b)*(-1 - 1 + 1) + (-2*b + 3*b - 3*b)*(16*b**2 + 2*b**2 - 5*b**2).\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) 6\/11 (c) -7 (d) 2.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3347161, 6694366, 10041557, 13388728, 16735873, 20082986?\n\"Answer: -o**3 - o**2 + 3347215*o - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -1 - (1 + -3). Suppose -2*u + 7*u - 35 = y. What is the remainder when 34 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyyt. What is prob of sequence yyt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 40464279?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 80 = 9*a. Calculate the highest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421719*t - 421738*t + 843451*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2606 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2710013506 + 2.271. What is g rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-42)*7*(-1)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1333, 5345, 12031, 21391?\nAnswer: 33425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3145, -3137, -3127, -3115, -3101, -3085?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-15)*3*(-1)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.1 - -20.1. What is the nearest to -7 in 0, 2\/3, 4\/11, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, d: 2, b: 8}. What is prob of sequence dd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 441062 - -2978938. What is n rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 7*m = 0. Let o = 160 + m. What is the greatest common divisor of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(4\/10))\/1. Let k = 32 - 16. Let j = k + -10. Solve -4 = t*m + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3699 by -3.\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 28543659?\nAnswer: -2854365.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 69*g**2\/2 + 69*g + 18. What is the tens digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -23. Suppose -11880 = -53*g - 37*g. What is the remainder when g is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y. Let z(h) = -31*h**2 + 22*h**2 - 3 - 18*h**2 - 5*h - 2 - 10. Let o(t) = -14*t**2 - 3*t - 9. Let b(q) = 10*o(q) - 6*z(q). Calculate b(v(a)).\nAnswer: 88*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -63*o**7\/5 - o**5\/30 - 2291*o**3\/6 + 83*o**2 + 23*o. What is the derivative of j(a) wrt a?\nAnswer: -10584*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306398712.\nAnswer: 2, 3, 19, 251, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v + 12*v**3 + 7*v)*(-v**2 - 2*v + 2*v) + v**4 - v**5 - v**4 - 2*v**5 - 2*v**2 - 2*v**3 + 2*v**2.\nAnswer: -15*v**5 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.47 + 0.03. Let f = 22067 - 22066. What is the nearest to 1\/2 in -1, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7040312?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = -23*z - 2*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -52*h + 165. Determine t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2764 and -39\/4.\nAnswer: 2764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -210201120 (base 3) to base 8\nAnswer: -36735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*q**4 - 4*q**2 - 19 wrt q.\nAnswer: 2280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/5 - (-4)\/(-10). Let w(k) = -k + 4. Let p be w(d). Which is bigger: p or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (((sqrt(60)\/sqrt(3))\/sqrt(10) + sqrt(20)\/(sqrt(10)*2))*5 - (4 + sqrt(8)\/((sqrt(120)\/sqrt(5))\/sqrt(6)))))**2.\nAnswer: -104*sqrt(2) + 297\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(65) + -3*sqrt(65)) + (sqrt(65) - sqrt(65)*4*-1))\/((2*sqrt(3200))\/((1*sqrt(10) + sqrt(10) - sqrt(10))*4)).\nAnswer: -7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -157912 and -157907 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 8.02.\nAnswer: -0.5614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398760.\nAnswer: 2, 3, 5, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 244\/4880 + -67*(-6)\/(-40)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036248 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let i(j) = 10*j + 13. Let l(t) = -i(t) + x(t). Let b be l(-4). Solve -5*z = -b + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 9:47 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 0*i + 184 - 214 - 4*i to the form c*i + w and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -30*f. Let x(z) = 7*z + 36. Let j(p) = p + 6. Let s(k) = -6*j(k) + x(k). Calculate m(s(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y. Let z(b) = 5*b - 331533. What is q(z(h))?\nAnswer: 30*h - 1989198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1426 divide 26703276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*r**2 + 639*r**2 + 136*r**2 + 946*r**2 + 699*r**2 to w*r + h + t*r**2 and give t.\nAnswer: 2303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 = -48*r - 108 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 0. Suppose 4*r = -4*v + 4, 6*v - 2*v + 3*r = d. Suppose -2*g - 12 = -6*g. Does g = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169828.2 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4 = -1, 0 = -x + 4*s - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:41 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*f + 5*m, 4*f + 0*f + 4*m = 20. Suppose 0*j = -4*j + f. Is 8 a factor of 5\/(-10)*(-24 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cchcjqoc. What is prob of picking 1 c and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1, 74, 2, -38.\nAnswer: -38, -2\/3, 1, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 13) + (-13 - -16 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9835410 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 314*v - 1023. What is the thousands digit of h(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147\/602845 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*u + 70 = -125, -4*h + 2*u + 398 = 0. Let c be ((-7806)\/h)\/(8\/(-6)). Let w = c + -194\/11. Calculate the common denominator of w and -91\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -130*t + 111*t + 190. What is the greatest common divisor of t and 1090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -513, -17, 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2268 and 54.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25.8+-1\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -14748 >= -14747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108969?\nAnswer: 3, 7, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Suppose -5*t = -j + 5 + y, -4*j = 5*t - 111. Suppose -60 = -4*a - j. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3410110 (base 8) to base 11\nAnswer: -57a514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2328 + -2317. What is the highest common divisor of z and 15653?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 302, 452, 602, 752, 902?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(32\/(-32)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 14.5. Let d = p + 2. Let r = -3.548 + 5.548. What is the nearest to 0.5 in d, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 412870 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7157 is divided by 143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3061 + 3061 - 182*i**2 + (-1 + 1 - 1)*(-2 + 1 - 2)*(2*i**2 - i + i) in the form l*i + w*i**2 + z and give w.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 h when four letters picked without replacement from {h: 10, b: 2, l: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 33710.401 to the nearest one hundred.\nAnswer: 33700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302458?\nAnswer: 2, 13, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/16 - -1 - (-18)\/40?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 205 (base 7) to base 14\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**6\/60 + j**5\/8 + j**4\/6 - 5*j**3\/3 - 8*j - 2. Factor i(c).\nAnswer: -c*(c - 5)*(c - 2)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*g - 7*g - 24, -2*n + 2*g - 10 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2222400 divided by 6\nAnswer: 370400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7540418 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60476844 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = -119 - 116 + 220 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -106114 and -853.\nAnswer: 90515242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 1. Let l(k) = -13*k**2 - 9. Let v(t) = -66*b(t) - 6*l(t). Differentiate v(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 * -11906.\nAnswer: 773890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-250)\/(-100))\/((-2)\/8*(-30)\/51)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j + 50*j + 5*j + j + 4*j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.268? (a) 0.5 (b) -9 (c) -0.2 (d) 4 (e) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 10. Let m be c(-9). Suppose -23 = -h - 5*t, h - t - 1 = -2. Suppose -4*j = 5*q - h + 9, -j - 1 = q. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996*c**5 + 121514*c**4 - 127244*c**3 - 615784*c**2 - 368760*c - 738 = 0. What is c?\nAnswer: -123, -1, -1\/498, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -349 + 345. Let b be (-41)\/(-9) + q\/(-9). Solve -3*g + 2*g - 5 = -b*m, -4*m = -5*g - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 less than 13574\/415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15901, 32709, 49519, 66331, 83145?\nAnswer: 99961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4322*j*p*v**2 + 2*j*p*v - 75*j + 112*p*v - 103489*p wrt v.\nAnswer: -8644*j*p*v + 2*j*p + 112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 0\/3 - -413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26\/(-65) + 2\/5)\/1. Suppose 2*x - 3*j - 38 = x, j = m. Solve -5*s = -3*z + x - 9, z - 4*s - 19 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 541*s + 9. Let o(v) = -11*v**2 - 1079*v - 21. Determine -7*l(c) - 3*o(c).\nAnswer: -2*c**2 - 550*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2639488 - -6691102166\/2535. What is the common denominator of -31\/2145 and h?\nAnswer: 27885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 28*r + 1703. What is the remainder when r is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {d: 7, t: 2, b: 2, l: 1, v: 2, z: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 3*x + 7. Let v be h(2). Does 13 divide 390\/v*(2 + 8\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -129*m + 13. Is x(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 3894b?\nAnswer: 3894d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15996404.\nAnswer: 2, 19, 109, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/4 - 4*z**3\/3 - z**2\/2 + 3*z + 4. Calculate n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u - 4*b, 4*b - 12 = -5*u + 8. Let x(f) = 2*f + 2. Is x(u) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(99) + -1) + (sqrt(99) - (2*sqrt(99) - sqrt(99)))**2 + 2 + sqrt(99).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k - 8. Factor p**3 - p**2 - 2*p**4 - k*p**5 + 3*p**4 + p**5 + 0*p**2.\nAnswer: -p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -270117?\nAnswer: -270117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 - 139 = -4*x. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/3 - 1060*i**4\/3 + 4250*i**3\/3 - 6380*i**2\/3 + 4255*i\/3 - 1064\/3 = 0. Calculate i.\nAnswer: -1064, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26 + -43448281591.\nAnswer: -43448281590.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378894804?\nAnswer: 2, 3, 97, 163, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -326 + 327. Put 3, j, -28, 4 in ascending order.\nAnswer: -28, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 7:10 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.8 - -60407?\nAnswer: 60296.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 2*w - 250 + 250.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**3 - 3. Let s(j) = -5*j**3 - j**2 + j + 4. Let v(a) = 3*c(a) + 2*s(a). Let f be v(1). Is f bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -0.726?\nAnswer: -1.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t + 6. Suppose t = v - 16. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -1120322?\nAnswer: 1121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5203312*x**2 - 5203316*x**2 - 5203310*x**2 + 15609924*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(1\/2)*-25. Differentiate 26*z**2 + 6 - o*z**2 - 19 wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11901 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18047540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000435217428 to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33978 and -0.5.\nAnswer: -16989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4785733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*6*4*(sqrt(1088) - (-1*sqrt(1088) + sqrt(1088)))*-5)**2.\nAnswer: 564019200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/546 and -67\/1014.\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8980 divided by -427\nAnswer: 8980\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**5\/12 - a**4\/12 + 4*a**3\/3 + 18*a**2. Let x(t) = 2*t**2 + t - 3. Give 3*r(h) + 8*x(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 130\/52*((-39)\/15 - -2). Suppose -3*w + 3*i + 23 = -4, -9 = -5*w - 4*i. Which is the nearest to -0.1? (a) -0.4 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/7)*(b*b**(-6)*b)\/b)\/((b**(-3)\/b*b)\/b*b\/((b\/((((b*b*b*b\/(b*b**(4\/3))*b)\/b*b)\/b)\/b)*b)\/b)) assuming b is positive.\nAnswer: b**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, and 1 y when three letters picked without replacement from {y: 1, j: 1, h: 2, a: 1, z: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 8:51 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c - 104. Suppose -c - 24 = -5*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 3*c + 220 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 - n**2\/5.\nAnswer: n**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28704 and 59137?\nAnswer: 130574496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202975699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*w - 39, -g + 3 = -4*w + 2. Solve -3*x + g = 6*y - 2*y, -3 = -x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.222 - 0.808. Let j = 0.37 - -0.26. Let h = o + j. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqfjqfgjqqqqjqoqqfg. Give prob of sequence jqgo.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1253, -1271, -1307, -1367, -1457, -1583, -1751?\n\"Answer: -j**3 - 3*j**2 - 2*j - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**8\/8 + 11*b**4\/12 + 9*b. Find the third derivative of r(t) wrt t.\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9467850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*m + 9, 2*c - 2*m = 6 - 0. Solve -2*v = 4*x + 24, -4*x - v - 27 + 7 = c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134247*o**2*t**2 - 6*o**2 + 1839*o*t**2 + 9*o*t - 2*o - 4*t**2 wrt o?\nAnswer: 268494*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 1136*c**2 + 78336*c - 331776.\nAnswer: 4*(c - 4)*(c + 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*((-9)\/(-42))\/(114\/(-133)) - 20?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 389, 453, 573, 767?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 q, and 2 p when four letters picked without replacement from {q: 1, e: 3, v: 6, p: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176411731 to the power of 1\/3, to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 4*m**3 + 3*m**3 - 6*m**3 - 6*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 + 2*z**2 - 3*z**2 + (92*z - 65*z + 283*z + (-3 + 3 - 1)*(1 + 2*z - 1))*(-3*z + 3*z + 3*z) to the form o*z**2 + f*z + y and give o.\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/10)\/(8\/240*2). What is the common denominator of 63\/n*66\/27 and ((-87)\/8)\/(54\/(-10))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 81.221, 0.4, -130 in decreasing order.\nAnswer: 81.221, 4\/5, 0.4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 23*c**2 + 43*c + 31. Let q be h(-21). Solve -u - q = 5*a, u - 5*a - 10 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240.4 + 240. Let s = 22723\/1190 - 793\/34. Let b = -19\/5 - s. Sort l, 5, b in descending order.\nAnswer: 5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -641*c**8\/336 + 11*c**4\/24 + 11*c**3\/6 + 395*c**2. What is the second derivative of v(w) wrt w?\nAnswer: -12820*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14388\/2068 + 24\/564.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330506 is divided by 65954.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*f*t**2 + 226*a**3*f*t + 15*a**3*t**2 + 2*a**2*f*t - 85*a**2 + a*f*t - 2*f*t**2 + 23*t**2 wrt a?\nAnswer: 6*f*t**2 + 1356*f*t + 90*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 8*o**2 - 47*o + 1. Give r(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 329165 (base 10) in base 8?\nAnswer: 1202715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4006*v = 3997*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014422 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 801, -1085 in descending order.\nAnswer: 801, 52, -1085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (1 + sqrt(7))*1)*3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -882*z - 6086. Let r be p(-7). Calculate the greatest common divisor of 110 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -8*s + 24. Let d be ((-2)\/s)\/(17\/(-238)). What is the second biggest value in 1\/5, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 7*r - 108. Calculate the highest common factor of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373 (base 11) in base 9?\nAnswer: -4230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 5*r - 1. Let m be h(6). Let a(f) = -14*f + m*f + 3*f. Let p = -1 - 0. Determine a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97\/8 + -103\/8. Let p = -0.9 - -0.8. Which is the third biggest value? (a) -0.5 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -11. Suppose -d = -4*y - 10, 5*g - 5*y = 320. Suppose -63*x = -g*x - 10. Calculate the highest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - -0.3. What is the biggest value in v, 0.5, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 1\/8*u**4 + 0*u + 0 + 0*u**3 + 14*u**2. Let a(k) = 11*k**2. Calculate a(o(v)).\nAnswer: 99*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3097\/72, -3\/5 in decreasing order.\nAnswer: 2, -3\/5, -3097\/72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:01 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532606 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 109\/6 (b) 2\/11 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -189*z + 191*z + 138, 2*z = -5*y + 726. Calculate the least common multiple of y and 42.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 7 + -4 + (-1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 3706*x**2 + 1865*x**2 - 11 + 8 + 1843*x**2.\nAnswer: 2*x**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4734.6 - -4196. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50 + 1523*k + 30 + 20 + 299*k)*(k - k + k**2) in the form n*k**3 + c*k**2 + m + z*k and give n.\nAnswer: 1822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aataatkatattaaaat. Give prob of picking 1 a and 1 k.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 223, 0.3, 69754?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 0. Let a(u) be the second derivative of -u**4\/12 + u**3\/3 + 3*u**2\/2 + 2*u. Let i be a(-2). Put p, -1, i in decreasing order.\nAnswer: -1, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 11, -26, -81, -160?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 12*p + 35 - 35.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**31))\/o**1)**(-10) assuming o is positive.\nAnswer: o**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0)**(-1\/20)\/(v*v**(2\/3)*v*v*v*v\/(v\/v**7)*v) assuming v is positive.\nAnswer: v**(-763\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206276537.\nAnswer: 206276537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -569397556*j**2 - 678612635*j?\nAnswer: -1138795112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.0871 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27486264.\nAnswer: 2, 3, 13, 37, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.6661 litres in millilitres?\nAnswer: 96666.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 31 + 0 + -371 + 365\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0 - m**2 - m**3 + 1\/60*m**5 + 0*m + 1\/8*m**4. Let r be z(-5). Solve -2*j = -3*j - r, 2*g = j + 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.143? (a) -2 (b) -11 (c) 2\/23 (d) -0.5 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 987 + -582. What is the highest common factor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 4, k: 11, n: 2}. Give prob of picking 1 k and 1 n.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 3*q + 2. Let m be j(-5). Let g = 10 + m. Solve u = 2*u - 2*s - 1, -g*u - 16 = 5*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94010 is divided by 1445.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(1 - 0)\/1. Let s(f) = -f**3 - f - 2. Let k be s(p). Suppose k*g - 805 = 3*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 2:26 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 + 13*h + 2. Let t(m) = 5*m**2 + 14*m + 3. Let c(b) = -6*i(b) + 5*t(b). Let z be c(-5). Is 16 a factor of 42\/14*z\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 412 (c) -10\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152))\/sqrt(8) - sqrt(3648)\/sqrt(3)) + (-1 + (sqrt(19) - sqrt(19)*-2))**2 + sqrt(2299) + -2.\nAnswer: -4*sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -950, -949, -948, -947, -946, -945?\n\"Answer: x - 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8776.2 - 8776. Which is the nearest to p? (a) 654 (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.566 decades in millennia?\nAnswer: 1.86566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, q: 1, a: 5, m: 3, f: 4, h: 1}. What is prob of picking 1 m and 1 h?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r**2 - 25*r - 4. Let z(j) = -3*j**2 + 6*j + 1. Let p(d) = -2*s(d) - 9*z(d). Let t be p(-3). Solve -t = 6*o - o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.347 * -1465\nAnswer: 28343.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y = 70*y + 643 + 391 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.3. Let d be ((-2)\/(-14))\/((-1)\/(-4)*-1). Sort b, -6, d in ascending order.\nAnswer: -6, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 231073965.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*l + 805 - 2515 = 0 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171586?\nAnswer: 2, 85793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/818 - -232\/2045. Let v = 5 - 5. Which is the closest to v? (a) 2 (b) u (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7566 and 5811.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svhchsvssiss. What is prob of picking 1 c and 3 s?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p + 0*p - 14*p**5 + 17*p**5 wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 389 + 697. Is ((-2)\/2)\/(-3 + i\/363) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -14?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-144)*-282 - -8. What is the nearest to 0.1 in 1, 4, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3223 + -2259. List the prime factors of c.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(68) - (sqrt(68) + 1)) + (-2 + -1 + sqrt(68) - sqrt(68) - sqrt(68)) + -1)**2 - ((-1 + sqrt(833))*5 - 4*(sqrt(68) + 0)**2).\nAnswer: -7*sqrt(17) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:17 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 + -94. Calculate the remainder when 85 is divided by m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/20 + (-26)\/104.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - -11. Are i and 44 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 55. Suppose -4*f + 2*w = f - 92, -k = -2*f - 2*w. Calculate the smallest common multiple of f and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 822*v**3 - v + 3344. Let a(s) = 1643*s**3 - 2*s + 6688. Let z(f) = 5*a(f) - 11*p(f). Differentiate z(u) wrt u.\nAnswer: -2481*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:43 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/3 + 54457*j**4\/3 + 54453*j**3 - 163369*j**2\/3 - 381172*j\/3 + 108908 = 0 for j.\nAnswer: -54454, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -84750160 divided by -55?\nAnswer: 1540912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*t**5 + 5*t**4 - 762*t**2 wrt t.\nAnswer: 2100*t**2 + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25236435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 821, 4951, 11841, 21497, 33925, 49131, 67121?\nAnswer: 87901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7941442 is divided by 30544.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(18\/634). Let c = r + 53. Suppose i - p - 3 = 0, -5*i - 5*p + 4 - 19 = 0. Is c equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = -150 + 38. Let z(f) = -f - 2. What is z(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3434128026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-235675089780)\/14430 + 4\/74. What is y rounded to the nearest one hundred thousand?\nAnswer: -16300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/1)\/(-1) + 1. Suppose 5 = 2*g + 1. Suppose y + o*d = 1, 0 = -g*y + 6*d - d + 2. Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2338 + 0.0338. Let i = -1\/52 - 101\/156. Put -5, b, -2\/13, i in increasing order.\nAnswer: -5, i, b, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:35 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 652*d - 8701. Determine p(-13).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -349, -0.5, 0.5, -0.4, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83579, 334363, 752355, 1337555, 2089963, 3009579, 4096403?\nAnswer: 5350435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 0 + -36 + 37.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2*t + 3, -t - t + 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -53 (c) 42517\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10692\/(-270)*800\/220\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3492, 28136, 95030, 225300, 440072, 760472, 1207626?\n\"Answer: 3521*m**3 - m**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10085.6893 times -0.4\nAnswer: -4034.27572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:34 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.18 - 6.09. Let u = m - -4. Let s = -0.28 + u. What is s rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q**2. Let f(i) = -13*i - 9. Let u = -9 + 5. Let m(r) = 6*r + 4. Let o(z) = u*f(z) - 9*m(z). Determine o(p(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52670396 is divided by 320?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6*(-567)\/126. Solve -j + 20 = h*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4) - (-1)\/(-2). Suppose 3*s = 2 + 4. Let a(c) = 0 - 2 + c**s + 4 + 2*c. Calculate a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 779 + 6*f + 776. Let d be (-172)\/22 - 6\/33. Let b(o) = o + 4*o + o - 5. What is d*g(t) + 5*b(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 6. Let o = -1658 + 4972\/3. Let h = -1 + -1. Which is the closest to o? (a) i (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*d*h*v**2 + 284*d*h*v - 510*d*v + 75711*h*v**2 - 55*v**2 wrt d.\nAnswer: 9*h*v**2 + 284*h*v - 510*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11477680 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (12 + -31 + 25 + (-7 - -1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 141*b**2 - 70*b + 70. Give r(-71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 382\/14 + 26\/(-91). Let f(y) = -7*y**2 + 4. Let a be f(2). Let g = m + a. Solve -3*z + 0 = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159862570 is divided by 324.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1135764 divided by 378588.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -12790.\nAnswer: -5\/1279","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115125.\nAnswer: 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 1, n: 2, u: 2, x: 1, z: 1}. What is prob of sequence ux?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((217\/(-62) - -24) + -18)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -242, -484, -734, -998, -1282?\n\"Answer: -d**3 + 2*d**2 - 241*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 244 = 44*u. Let z(s) = -s**2 + 8*s - 5. Let c be z(7). Suppose 5*w = -4*f, w + c*w = u*f. Solve w*q = q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*w - 2*b, 0 = -2*w - 3*b + b - 16. Let d = -5 - w. Solve q + 4*y = -5, 3*y = -d - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5 + 12367*c**4 - 39648759*c**3 + 8663924277*c**2 - 50914364400*c + 75837289716 = 0.\nAnswer: 3, 229, 6066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10893*c**2*q**2*z**2 - c**2*q - 2*c*q**2 - c*z + q**2*z**2 + 47*q**2*z + 5*q**2 - 29*z**2 - 8*z wrt z.\nAnswer: 21786*c**2*q**2 + 2*q**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81.11 * 5.03.\nAnswer: -407.9833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-1))\/l)**(16\/5)\/(l**5\/(l**1*l)))\/(((l*l**2*l)\/(((l*l**(2\/9))\/l)\/l))\/(l*(l\/l**(-6))\/l*l*l**(2\/11))) assuming l is positive.\nAnswer: l**(40\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**3 + 14*s**2. Let b(q) = -q**3 - 3*q**2. Determine -14*b(k) - 3*c(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(3) + -5) + sqrt(3) + sqrt(12)\/(-4*sqrt(4)) + sqrt(3))**2*-3*-2.\nAnswer: -450*sqrt(3) + 6825\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*z - 25, 3*b - 3*z = 3 + 12. Let j = 4 + -6. Let g = j - -4. Sort -1, b, g in descending order.\nAnswer: g, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -422, -377, -28, 727, 1990, 3863, 6448?\nAnswer: 9847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9\/s)\/s**10*(s**(-1\/25)*s*s)\/(s*s\/(s*s**(-6\/13))*s*s) assuming s is positive.\nAnswer: s**(-1138\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -32, -18, 24, 106, 240, 438, 712?\n\"Answer: 2*a**3 - 4*a**2 - 4*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1307313 + 0.4634.\nAnswer: 1307313.4634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/105 - 558\/(-14). Let v = -38 + m. Suppose v = 5*k - 2*r - 78, -4*r - 90 = -5*k. Calculate the greatest common divisor of k and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200772*n**2*o**2*p**3 - 16*n**2*o**2*p**2*u + 2*n**2*o + n*o**2 - 2*n*o*p**3*u + 2*n + 475*o**2*p**2*u wrt p.\nAnswer: 1204632*n**2*o**2 - 12*n*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajaaaaaajaajaj. Give prob of picking 2 a.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5656 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b**2*r**2 - 1501*b**2 + b*r - 761*r**2 - 7 wrt b?\nAnswer: 18*r**2 - 3002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 3*o = -100. Let a be ((-660)\/42)\/(o\/196). What is a rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 9*p - 131. What is f(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 25*s**2. Let m(d) = 14*d. Calculate j(m(u)).\nAnswer: 4900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*10*8\/(-16). Solve -2*f = -4*m, s*f - 2*m - 2*m = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**4\/6 - 7*c. Let s(u) = -41*u**2. Calculate s(q(a)).\nAnswer: -164*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-404)\/6*3\/36 and (-2)\/(-4) - 59\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1724 divided by -3?\nAnswer: 1724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + (sqrt(2) - (0 + sqrt(8)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271 + -270. Let k = -8 - -3. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 604487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20932202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 327054715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2 - 12*r + 56. What is d(4)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -965.\nAnswer: 13510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 2*x**2 - 2*x - 4. Let k be a(3). Let v be (3 - 0) + k + 22. Calculate the smallest common multiple of 16 and (v - (-3 + -1))*2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*h + 155*h = -30. Solve 5*n = -3*v - 15, 5*v - 3*n + 8*n = -h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 6:31 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 29*o**2 + 30*o + 15. Let f be l(30). Suppose 18*r - 1257 = f*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.3036669 times -5\nAnswer: 96.5183345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -91 and 0.2365?\nAnswer: -21.5215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6263 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4749 is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -194374641 take away -0.1?\nAnswer: -194374640.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*v + 20, 26721*v + 24*l = 26716*v + 96 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 19. Let b be d(-7). Let o = b - -23. Is 17 a factor of 124\/6*1*(o - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 7*a**2 + a + 8. Let t be b(7). Suppose 355 = -t*n + 20*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (646*r**2 + 308592 - 308592)*(-3 - 1 + 3).\nAnswer: -646*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -1*(-3 + 2). Suppose 5 = 5*p - 5. Put z, 4, p in descending order.\nAnswer: 4, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxl when three letters picked without replacement from xxxlzlxxxxzzxlxxzx?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*z - 28*z - 4*z**2 + 26*z**2 + 30*z**5 wrt z.\nAnswer: 1800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -6 - 4 - 0, -4*p - 175 = -0*s - s + 12 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 27 = 3*o. Let v(m) = 3*m - 24. Let z be v(o). Solve -q - 5 = -z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3777.64 times 4\nAnswer: -15110.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 7, f: 9}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-455)\/208))\/(30\/(-21))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -2.172618608\nAnswer: -1.872618608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48333 - 55?\nAnswer: 482ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 3*r - 3. Let g(a) be the third derivative of -9*a**2 - 1\/12*a**4 - 1\/60*a**5 - 1\/3*a**3 + 0 + 0*a. Give 3*g(z) - 2*h(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 370993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -27. Let v(l) = 2*l - 2*l + h*l + 1. Is 2 a factor of v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1623 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-130) + (0 - 0)\/1. Which is the smallest value? (a) o (b) -1\/4 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1161 - 89 = -2*i, z - 1088 = -2*i. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.1792\nAnswer: -0.05376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -22302 and 978 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-787)\/4 - (-4)\/(-16). Let f = -1377\/7 - o. What is the nearest to -1 in f, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 36, 3, 929.\nAnswer: -5, 3, 6, 36, 929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*u**2 + 29*u**2 - 62*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8160530 and 770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53408346 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*h + 18. Suppose -2*z = z, z - 35 = -h*o. Let g be (6\/9)\/(o\/3). Which is the fourth smallest value? (a) g (b) -4 (c) -0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 2*a**2 - 3*a**2 + (1 - 4 + 2)*(-4*a + 4*a + a**2) - 27*a**2 + 95*a**2 + 18*a**2.\nAnswer: 80*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Let i = 3.975 - m. Round i to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-3)\/342)\/((-55)\/330)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(1\/4))\/(182\/(-13)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 1 + 1)*(0 - 2 + 9)*(1105 - 1105 - 346*d) to b + h*d and give h.\nAnswer: -41174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14\/336*-2 - (-2494)\/4872\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2476420 - -16?\nAnswer: 2476436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 6, 1850, 87 in descending order.\nAnswer: 1850, 87, 6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/1729*-19 - (-11)\/462*-138) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m**5\/7 + 102*m**4\/7 + 468*m**3\/7 + 120*m**2 + 528*m\/7 = 0 for m.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*z**5 + 38*z**4 + 4*z**2 - 9519*z?\nAnswer: -360*z**3 + 456*z**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (2 + -13) - -18) + (-10 - 41)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -406, -405, -404, -403?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168 - 181.6. Let s = 13.6 + v. Let g = 7.5 - 0.5. Which is the second smallest value? (a) s (b) g (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc2a - -6d?\nAnswer: -cbac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-50))\/((-4)\/30)*2. Suppose 0 = 4*s - s - o. What is b in 1\/5*b**2 + 0 + 1\/5*b**s + 0*b = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(720) - 2*sqrt(720)) + 4*(-2 + sqrt(5) + 0 - sqrt(5)))*4)**2.\nAnswer: -6144*sqrt(5) + 47104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {a: 5, w: 7, q: 8}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 32*y + 31. Let v be l(15). Which is the nearest to v? (a) -0.3 (b) -1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45068 divided by -1673\nAnswer: 45068\/1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3 - 4 - 4*z**2 + z**2 - 4*z. Let i be (-7)\/(14\/2) - -12. Let o be i*(1\/4)\/(1\/4). Let p(h) = 5*h**2 + 7*h + 13. Give o*r(a) + 6*p(a).\nAnswer: -3*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 27339026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 22 = -16*q. Find the second derivative of -2*p**q - 20*p**2 - 26*p**2 + 44*p**2 - p + 65 wrt p.\nAnswer: -12*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 - 111 = -46*w - 425 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 28.92. Let z = o + -0.152. Round z to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/(-102))\/(10\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - i - 5 = 0, 3*i + 4 = 4*h - 11. Solve 5*t - 25 = 5*w, h*w + 2*w = 5*t - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -58. Let n = -25.96 + i. Round n to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6230120?\nAnswer: 2, 5, 13, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 49 + 209. Let b be 1 - 2\/(r\/(-12)). Factor -3\/4*l**2 + 1\/4*l + 0 - b*l**4 + 3\/4*l**3.\nAnswer: -l*(l - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 2 + sqrt(72) - -1*sqrt(72)) + (5*sqrt(20)*2)\/(sqrt(40)\/sqrt(4)*5))**2.\nAnswer: 80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**3\/12 - 41*v**2\/4 - 1681*v\/4 - 323. Factor o(m).\nAnswer: -(m + 41)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -11*n**5\/60 + n**4\/12 + 25*n**2 + 7*n. Let v(l) = -2*l. What is v(i(h))?\nAnswer: 22*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -308\/4563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 2. Let w = 16 + r. Let k = -12 + w. Which is the smallest value? (a) -0.2 (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67284 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-45))\/(9\/30)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1360)\/(-6120) + (-4 - (8 + -7 + (-80)\/18)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + i**2 + i**3)*(-11*i - 2*i + 4*i) + (-2 + 1 + 3)*(i**4 - 58 + 58).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:19 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 9*p - 3. Let h be t(5). Let j = 9 - h. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.951132 rounded to 3 decimal places?\nAnswer: 0.951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r - 4392 = 0. Let z be (r\/(-10))\/((-18)\/(-1500)). What is z rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = h - 21*h - 16, 0 = 18*m - 15*m - 4*h - 26 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 + 3*m - 9. Determine z(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1783643?\nAnswer: 1783643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 16*h**2 + h + 21. Give j(16).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/13 in 1, 189, 9, 3.6, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0155 times -0.2\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 39*m**2. Let x(t) = -t**3 - 6*t**2 + 3*t - 22. Let n be x(-7). Let p(q) = -q + 3 - 2 + 5 - n. Determine p(g(l)).\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, b: 5}. What is prob of sequence wb?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-28)\/(-308))\/(11\/1871507)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - p - 10*p**3 - 6*p**3 + 16*p**3 - 21*p**2 as d + r*p**2 + j*p**3 + s*p**4 + g*p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1592, 19, -6?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z + 148. Let x be y(-20). Sort 4, -2, x, 6 in decreasing order.\nAnswer: x, 6, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - -6. Suppose 0*u = 6*u - b. Solve -4*w - u = 4*q - 17, -4*q - w + 18 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 3*r**3 + 3*r**3)*(32*r**2 - 6*r**2 - 7*r**2).\nAnswer: 171*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*d + 9, 0 = -3*d - 3*i + 32 - 5. Let k = -35 - -33. Let o be (-2 - d)\/(1\/k). Solve 5*h - 6 = o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 7*v**2 - 10*v - 9. Let p be a(-8). Let r be (1 + -97)\/(p - 8). Suppose 2*i + 2*z - 120 = -3*i, 4*i + 5*z = r. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74.021 - 74. Let l = 8.721 - z. Let h = l - 8.7000232. Round h to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - k = -0*s - 8, 5*s - 28 = -k. What is the remainder when 12 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 9 + 9*k + 20 - 6.\nAnswer: 9*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6953 - -6952.7. Put 0.2, -2, k, 0, -25 in increasing order.\nAnswer: -25, -2, k, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6817*z**4 - 21362 wrt z?\nAnswer: 27268*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196669 and 77?\nAnswer: 1376683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 162733?\nAnswer: 162729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1507 + 2639. List the prime factors of c.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 651 = -82*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-2)\/sqrt(10) - (sqrt(38)\/sqrt(2)*1)**2) + 5.\nAnswer: -14 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -2\/9, 0, 41, -0.1 in ascending order.\nAnswer: -8, -1, -2\/9, -0.1, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 2*o**4 + o**4)*(-1610 - 743 + 766).\nAnswer: -3174*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348834525?\nAnswer: 3, 5, 13, 357779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (0 - -2) - -16. Let u = 86 + -82. Suppose 70 = u*h + f. What is the remainder when 25 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 204 or 203?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 8\/7, 2\/7 in ascending order.\nAnswer: 2\/7, 0.3, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Let t(g) = -3*g + 5*g - d*g + 7 - g. Suppose -3*n = 2*n - 10, 3*n - 36 = -5*y. Give t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 2*l + 2*l + 0*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 19. Let j be 0 - 1 - 8\/d. Solve -4*b = 2*w - 30, 3*b = -j*w - 2*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 + 349 + (3 + -2 - (-10 + -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22448378021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 + 4*n**2 + 3*n + 3. Let d(s) = 12*s**2 + 5*s + 3*s + 8 - 11*s**3 - s**2. Let z(q) = 3*d(q) - 8*i(q). Solve z(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 0.009, 0.1, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1151161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from fyymqym.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355328551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 47 and 35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-37 + 16 - 10*u + 2*u**2 + 20).\nAnswer: -4*u**2 + 20*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 64 + 316. Suppose 0 = -5*o - y + u, 1 = y - 4. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 3\/241 (c) 1\/3 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/9)\/((-6)\/(-9)). Let m(i) be the first derivative of -i**s + 3*i + 2 + 0 - 5*i. Differentiate m(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -258b1 - -17a6?\nAnswer: -24107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f - 3*z - 55 = 0, -z + 5 = 0. Let y be (-2)\/(-7) - (-290)\/f. Suppose 0 = 4*l - 123 - y. What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*3\/(225\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -347*x - 729*x - 101*x - 52*x - 348*x to p + g*x and give g.\nAnswer: -1577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w - 9. Let v be (-1)\/w*4\/4. Factor 0*c + 0*c**2 + 0 - v*c**4 - 2\/3*c**3.\nAnswer: -c**3*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a decade?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89787 is divided by 2570?\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 4 - 7*v**3 + 8*v**3 - 7*v + 2*v. Let q be d(-3). Solve -k = q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 517690279*x**4 + 620672009 wrt x.\nAnswer: 2070761116*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -103*c**3 - 3*c**2 - 2*c - 6. What is the tens digit of v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136295\/4978 or -1?\nAnswer: -136295\/4978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36332345411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4) - (-93)\/(-62)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -14031*y + 290. What is the hundreds digit of k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34122, 136831, 308132, 548025?\nAnswer: 856510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 81, 3, -0.21, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16180 and 322.\nAnswer: -15858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31283513 is divided by 265?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 6*t - 3. Let j be k(-7). Let c(v) = v**3 - 4*v**2 + 2. Let l be c(j). Solve -l*n - 3 - 1 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - 117. Sort 3, n, -4, -5 in descending order.\nAnswer: n, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-28))\/((-8)\/(320\/165)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*(-56)\/(-112). Let k(a) = a + 3. Let h be k(-6). What is the nearest to s in h, -51, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - y = -1, -4*o + y = -0*y + 1. Let r = 9 + o. Let l = 9 - r. Solve l = 3*h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = 3*f, -4*f = -3*a + 20 - 0. Suppose 5*l - 3 - 2 = 0. Let p(i) = i + 1. Let u be p(l). Solve u*t - a*t = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 2*c - 1. Let b(k) = -5*k**2 - 8*k - 7. Let n(h) = -b(h) - 6*v(h). What is n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 106*z**2 + 4*z + 29. What is o(-53)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 30*h + 12. What is n(29)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 6*f + 6*f + (28 + 7 + 24)*(-2*f + 2*f - 2*f).\nAnswer: -107*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 5*k**2 - 17*k + 10. Give d(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**2 - 51*j + 10. Let s(f) = 52*f - 1. Give -2*h(r) - 2*s(r).\nAnswer: 14*r**2 - 2*r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 925\/185*-3*(-1)\/25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2051540 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 30*v**2\/7 + 32*v\/7.\nAnswer: -2*v*(v - 16)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/3 - 44*n**4\/3 + 152*n**3\/3 + 44*n**2\/3 - 50*n = 0. What is n?\nAnswer: -25, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1749 + -20987\/12. What is the third smallest value in -1, 5\/3, 13\/3, f?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 3\/17, 0.2, -11633\/23 in descending order.\nAnswer: 5, 3, 0.2, 3\/17, -11633\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -18. Let a = 36 + s. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29944548 by -17289.\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*f - 24, -3*f + 5*f - 44 = -5*x. Suppose -6*o + 40 = -x*o. Let r = -2 - o. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.33, 20\/3, -270, -5, 13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 5\/(-20)*30 - -7. Solve 0*x + g*x**2 + 0 - 1\/2*x**3 = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 10*m = 97. Let d(s) = -s**2 - 8*s + 9. Let z be d(-9). Suppose z = 5*c - m + 22. Solve -c = 3*j - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56623.11 kilometers in millimeters?\nAnswer: 56623110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9784.\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 751640 divided by 3956\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 6 - 8. Let i be 52\/(-64) - -1*1. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 5, -2, 29, -107, 44 in decreasing order.\nAnswer: 44, 29, 5, 4, 2, -2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10870 and 17392.\nAnswer: 86960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(171) + 0)**2 - sqrt(171)) + sqrt(171) + (4*(sqrt(171) + 0))**2 + (-3*sqrt(171) - sqrt(171))**2 + 0 + -5 + ((sqrt(171) + 3)**2 - sqrt(171)).\nAnswer: 15*sqrt(19) + 5819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785*k**3 - 10809*k**2 + 10809*k**2.\nAnswer: -785*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let p(k) = -5*k**2 - 9*k + 20. Let x(b) = p(b) - 3*v(b). Give x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (0 + -3*2). Suppose 3*l = 2*n - 83, n - r*l = 5*n - 121. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44358 - 596?\nAnswer: 43872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6613b (base 12) to base 2.\nAnswer: 100000111100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2. Let p(b) = -36*b**2 + 4. Let k(d) = -35*d**2 + 3. Let x(h) = 4*k(h) - 3*p(h). Give s(x(c)).\nAnswer: 2048*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2693414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4\/4 - 435*k**3\/4 + 450*k**2 - 455*k = 0. Calculate k.\nAnswer: -91, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3 + 338*i wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3) + (-10)\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((84\/(-294))\/(6\/(-14))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23262.\nAnswer: 2, 3, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -1. Let y be (-5)\/(30\/(-192)) + 1. Suppose 25 = -5*q, 3*d + d + 5*q + y = 0. What is the closest to p in d, -1\/5, -3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -384 - -192. Let c = -108 - r. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 6:38 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 7, y: 5}. What is prob of picking 1 s and 3 y?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (10 + -3 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 850.7058l?\nAnswer: 850705.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.431 - -58.669. Let p = k + -60. Sort p, 1\/4, 0.3, -1\/11.\nAnswer: -1\/11, p, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 1971?\nAnswer: -65\/1971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -5 + -4*sqrt(147) - -6*(sqrt(147)*-4 + sqrt(147)))*5*4*-6)**2.\nAnswer: 21168000*sqrt(3) + 933868800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -690*t - 44856. Give w(-65).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 20*a + 22. Let b be l(-11). Solve h - 4*h - 12 = b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2421052718 + -63?\nAnswer: -63.2421052718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + m + 1. Let x be t(-1). Let a be 4\/(-8)*0 + (-2 - -4). Solve x*j + 14 = 2*v, 3*v + 12 = -a*j - v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 3. Let w be z(-5). Solve -w*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in minutes?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4997 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23 - 3.37. Let p = -3368763 + 3368766.6000024. Let f = x + p. Round f to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -635*k + 230. Let w(d) = 91*d - 30. Calculate -2*a(f) - 15*w(f).\nAnswer: -95*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 506, 527, 560, 611, 686, 791?\n\"Answer: w**3 + 14*w + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25015876 - -6.5?\nAnswer: 6.75015876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.200043. What is t rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3966909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 885 + 335 = 0. Let h(l) = -l**2 - 6116*l - 79332. What is the least common multiple of q and h(-13)?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 8*h - 5. Let g be s(-6). Let q = 157 - g. Let p(r) = 2*r**2 - 9*r. Give p(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - 45. Let k = y - 71. Let v(f) = 3*f**2 + 33. Let z(t) = -39*t**2 - 429. Let s(h) = k*v(h) - 2*z(h). Find the first derivative of s(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/36 and 89\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 1. Let f(u) be the third derivative of u**5\/60 - u**4\/8 + u**3\/2 - 2*u**2. Let n(t) = 2*f(t) - 6*l(t). Let d(h) = 2*h. Determine d(n(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 9 - 45 = 0. Let o = -13 + 18. Put -5, u, o in descending order.\nAnswer: o, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 7:47 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677646925 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 27543172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = m - 2, m - 5*z + 3 = -4. Let c be 9 - 6 - (-1 - 1). Suppose -4*f = -15 - c. Sort m, 0, f in descending order.\nAnswer: f, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170*x + 46*x + 399*x + 252*x)*(-x**2 + 0*x + 0*x).\nAnswer: -527*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5 + 7. Suppose w + 2*t = -z, -4*t = 3*w - 3*t + 41. Is (-1 + -7)*w\/8 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/223435 and 95\/714992.\nAnswer: 3574960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2177)\/1281 - 38\/(-1159).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1234, -2, 5, -4 in decreasing order.\nAnswer: 5, -2, -4, -1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -ec (base 15) to base 14\nAnswer: -11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (39\/(-52))\/((-78)\/(-212)). Let t = s - -20\/13. Let v = 14 + -9. What is the biggest value in 3, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 15. Let m = 7 - 3. Solve m = y*z + 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*56\/42. Suppose -2*y = 4*w + v - 0, -4*w - 5*y - 5 = 0. Let j(l) = -l**2 - 17*l - 13. Let c be j(-16). Solve 0 = -w*f + c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:46 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.3 and -32442.\nAnswer: -399036.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = 13, 3*r = 3*v. Suppose 3*o + 2*u = 6, -v*o + 2*o + 2 = 3*u. Suppose 3*q + a = -2, 5*a = 3*a - 4. Solve 0*c - o*c = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -14. Let m = 0.1 + 1.9. Let v = -1.7 + m. Which is the closest to i? (a) v (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 552390138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63\/2 of a litre?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z be -226*2 - (5 + -8). Let w = 580 + z. What is the remainder when w is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 12:39 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 559, 1123, 1689, 2257, 2827, 3399, 3973?\n\"Answer: m**2 + 561*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -130387285\/6 > -21731214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y - 3*y)*(2*y**2 - 4*y + 4*y) - 2*y + 2*y + 2*y**3 + (y + 2*y - y)*(-y**2 + 3*y**2 - y**2) + 2*y - 4*y - 5*y**3 + 9*y**3.\nAnswer: 10*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2111 + 144?\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1650 and 139\/223500?\nAnswer: 2458500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (360\/5130)\/(10\/15).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 2. What is the remainder when ((-1)\/3)\/(2\/(-132)) is divided by h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 539 or 536?\nAnswer: 536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15.1 or 2\/22367?\nAnswer: 2\/22367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1335626164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 19272.32362 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 12*a - 5*a - 14*a - 23*a.\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, 610, 1\/4 in increasing order.\nAnswer: -0.3, 1\/4, 4, 610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15249 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3518 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 11*o**2 + o + 42. Let u be r(-6). Suppose 4*l = -4*c + 48468, 3*c - l + u*l - 36335 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140143014 (base 5) to base 16\nAnswer: -ad20e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3 + 3)*(2 - 1 - 5) + 0*g + 4*g - g + (g - 2 + 2)*(-2 - 3 + 4).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 7*j - 6. Let m be b(-36). Suppose 3*q - 1440 = -m. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.5, 1, -20 in decreasing order.\nAnswer: 1.5, 1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13871759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p + 4\/15 - 16\/15*p**2 = 0. Calculate p.\nAnswer: -2, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u - 29*u + 94 = 36*u - 662 for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 11. Let f be o(7). Suppose f*t - 98 = t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 2 - 2 + (2*o**2 + 0 + 0)*(1 - 1 + 2*o) + o**3 - o**3 + 2*o**3 - 3*o**3 + 5*o**3 - 5*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72)*-3*-2)**2 - (-2*sqrt(352))\/(-2*sqrt(99) + sqrt(11)).\nAnswer: -8*sqrt(2)\/5 + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18369*k**5*q**2 - k**2*q - 7*k*q - 20*q**2 wrt k.\nAnswer: 1102140*k**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23047.56 millilitres?\nAnswer: 23.04756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 + 8*o - 6. Let p be w(2). Let v be 4\/(-6) - 736\/p. Let j = v + -114. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-9)\/(-27))\/(-2*(-3)\/(-30)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*n + 2*u + 7, 0 = -n - u - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206181253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 + -3 + 14 + -6 + -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 537488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 3*p - 1. Let v be s(-1). Find the second derivative of q**v - 12*q**2 - 4*q**4 + 41*q - 23*q**2 + 5*q**4 wrt q.\nAnswer: 24*q**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1459*l - 11588. Determine p(-8).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 25*x**2 + 20*x + 179. Calculate the smallest common multiple of i(-24) and 850.\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 263780 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86\/297 + 2\/27. Are y and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 444 - 422. What is the greatest common factor of 66 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 63*p**2 - 271*p + 23. Give m(67).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -0.408329\nAnswer: -0.091671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504526*h + 504596*h - 2584 = 1266 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j - 1. Let r(n) = -9*n**2 - 9*n + 13. Let d(i) = i + 5. Let c be d(-6). Let f(h) = c*r(h) - 5*v(h). Solve f(l) = 0 for l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 b when three letters picked without replacement from cbblbrrrlb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 3, -1, 373 in increasing order.\nAnswer: -1, 0, 3, 10, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 44*w - 36. Let t be o(23). Solve t*f + 22 = -18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253\/865 bigger than 2\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*c - 2*x + 4, 10 = 5*x. Let b = 7 + c. Suppose 2*r = 6*r + b, -r + 102 = 2*a. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - -1 - -3 - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**2 + 5*c - 5. Let y(r) = -14*r**2 - 8*r + 8. Let u(t) = 5*y(t) + 8*z(t). Let n(o) = -2*o. Determine n(u(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -27.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/105 of a week in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1) - (-3 - 1). Suppose -4*w = 3*h + 5, 2*h + l*w = h + 13. Is -7 not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-903)\/(-2408) - 2\/(112\/105)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 2}. Give prob of sequence qqdd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1518 + 1518. Which is the second smallest value? (a) r (b) 203 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*c + 3 - 1 - 2.\nAnswer: 78*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2619 and 2619 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, and 1 o when three letters picked without replacement from {o: 1, x: 3, p: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(108)\/(sqrt(9)*3)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 2:34 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2894.8 + -2895. What is the nearest to 2 in 0.6, 6, w?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16830 and 29617434.\nAnswer: 148087170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-117)\/3) + -2. Let d = m - -5. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, s: 15}. Give prob of sequence xxss.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*b + t, b - 2*t - 1 - 4 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*d + 30 = 308*d - 147*d. What is the fifth smallest value in -5, -9, 1, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/10 - (5 - 226\/70). Let q = 14\/5 + j. Sort q, 3, 4.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*774 - 3. Let i = -382 + m. Solve 3\/2*d**3 + 3 + 6*d**i + 15\/2*d = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from hewlbhxb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 569838637 to the power of 1\/2, to the nearest integer?\nAnswer: 23871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21471 + 21475. Solve -16*n = i*g - 19*n - 13, 2*n = -5*g + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 325 - 552034?\nAnswer: -551305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, 1 v, and 1 o when four letters picked without replacement from {o: 2, s: 7, q: 3, v: 2, j: 1, x: 5}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*m = -m - 113, 2*p - 3*m - 48 = 0. Is (-2 + 20339)*(-9 - (-196)\/p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 12. Let x be d*(3 + (-35)\/12). Factor x*j - 1\/4*j**3 + 1\/4 - 1\/4*j**2.\nAnswer: -(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 3*z - 158. Let o = 32 - z. Which is the closest to 1? (a) -4\/7 (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-8 + 21 - 5) + -18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*l = 55044, -3*l + 33365 + 21659 = 4*r. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v + 5. Let w be (-23)\/(-23) - 2*11. Let q(h) = -45*h + 21. Let f(g) = w*s(g) + 5*q(g). Let o(t) = -2*t. Calculate o(f(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 786622.20167 - 0?\nAnswer: 786622.20167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndsdnlmbsddlbn. What is prob of sequence bm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240042 is divided by 40001.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w. Suppose 0*g - 986 = -5*j + 4*g, w = 3*j - 4*g - 590. Suppose -h = -4*h + j. Calculate the remainder when h is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 187 = 2*n, s - n + 27 = 91. Calculate the highest common divisor of 525 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 2*k**3\/21 + 6*k**2\/7 + 18*k\/7 - 3. Factor j(w).\nAnswer: 2*(w + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 - -1) - (-1034 - -1049)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 7*w**2 + w. Let h(v) = v**3 + v**2 + 1. Let g(p) = -c(p) - 3*h(p). What is the second derivative of g(i) wrt i?\nAnswer: -30*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 23*d. Let c(a) = 275*a. What is 3*c(l) - 35*k(l)?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**(-25)*(f\/(f**(9\/5)\/f*f))\/(f**(-6)\/f))\/(f\/(f\/f**(-2\/9))*f*(f\/(f*f*(((f**2*f)\/f)\/f)\/f*f))\/f*f)**16 assuming f is positive.\nAnswer: f**(-1091\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -221022011110 (base 3) to base 2\nAnswer: -1111001100101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 4:33 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 351684 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1741.\nAnswer: -6964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 841353, 1682703, 2524053, 3365403, 4206753, 5048103?\n\"Answer: 841350*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*w - 2, p + 64 = 3*w + 65. Let y(d) = -20*d**3 + 4*d - 3. Calculate y(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6807 is divided by 6558?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 11*g + 3. What is x(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114\/11 - 548\/55. Let z = -11 - -11. Factor z*n**3 + q*n**4 + 0 + 0*n - 2\/5*n**2.\nAnswer: 2*n**2*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 6\/(-18)*4*-15. Let u(y) = -3*y**3 - 64*y**2 - 15*y + 11. Let f be u(v). Is f < -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 - 8*u**2 - 13*u**2 in the form o + g*u**2 + a*u and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 + 24*z**4 + 9*z**4 + (2*z**3 - 2*z**2 + 2*z**2)*(-2*z - 1 + 1).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/3)\/a))\/a**4*(a\/(a\/((a*a\/((a\/(a\/((a**0*a)\/a)))\/a)*a)\/a)*a*a))**(-37)*((a**0\/a)\/((a*a**(-1\/6))\/a))**(3\/8) assuming a is positive.\nAnswer: a**(-1855\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 4, 3, -119.7, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/24 + (-14)\/6. Let v = l - -6. Solve -v*r - r = 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) -16\/11 (b) 9\/4 (c) -1\/3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 4*l + 46 = 25*v, 3*l - 47 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*r = 18*r + 106. What is the second smallest value in r, -1\/7, -0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106362?\nAnswer: 2, 3, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 578*w**2 - 2*w + 3. What is the hundreds digit of d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303242?\nAnswer: 2, 31, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 = 23, 3*l = -5*c + 61. Let y(x) be the second derivative of x**4\/12 + 13*x**3\/6 + 11*x**2\/2 - x. Is y(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*sqrt(275) + sqrt(275) + sqrt(176) + 0)*6)**2 + -4.\nAnswer: 14252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9830492 to the nearest integer?\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/(-12))\/(1\/(-2)). Does 18 divide z\/(-15) - (-508)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 1:27 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.2 (b) -0.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 389, -0.3, 0.3, 86, 149 in descending order.\nAnswer: 389, 149, 86, 2, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n + 18 = 0. Suppose 4*k = -2*k + n. Solve -l + 3*w - 4 = k*l, 2*w + 3 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*o - 23*o - 324 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -118\/3 <= -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 49. Let v(i) = 28 - 245*i**2 + 229*i**2 - 28. Give v(k(b)).\nAnswer: -16*b**2 - 1568*b - 38416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/4 - (2 - 2). Let q be ((-1)\/(-6))\/(v\/(-24)). Let a(h) = -h - 3*h - q + 2*h + 3. Determine a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 841*k + 1779*k.\nAnswer: 2620*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/120*-9)\/18)\/(1\/(-4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 10*u**2 + u + 4. Let v(m) = m**2 - 1. Let g(k) = t(k) + 3*v(k). Let c be g(13). What is the greatest common divisor of 70 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4 - 3880*k**3 + 31255*k**2 - 82230*k + 70560 = 0. What is k?\nAnswer: -784, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 187, 175?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2651, -73, -1?\nAnswer: 2651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231192 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 372*c**2 + 6 - 190*c**2 - 17*c - 183*c**2. Let u be n(-17). Find the second derivative of 7*a + 2*a + u*a**5 + a**5 wrt a.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -7. Let c(w) = -4*w + 0 + y*w + 9 - 2*w. Give c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 227\/7 (b) -425 (c) 0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 260 - 257. Suppose h + 3*j - 40 = 0, 5*j - 153 = -h - a*h. What is the greatest common divisor of 74 and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -34, -0.1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3692.171*0.1.\nAnswer: 369.2171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3 - 4 - 2*t + 4 + 1. Let y be a(-2). Solve -q - 13 = -b - 5*q, 0 = -y*b + 5*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r**3 + 0 + 0*r + 2*r**2 + 0*r**4 - 1\/20*r**5. Let v(u) be the second derivative of u**4\/4 + 2*u. Calculate i(v(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, o: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + c)*(133*c - 238*c + 71*c + 76).\nAnswer: -34*c**2 + 76*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*t - 2*c, -6*t + 5*c + 21 = -4*t. Let q = t - 6. Suppose -q*b - 2*n + 4 = -2, -4*n + 8 = 0. Let a(l) = -l**3 - l + 1. Determine a(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66243 and 2910649.\nAnswer: 619968237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24\/11 (b) 5 (c) 0.4 (d) 26 (e) 17490 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 8*w + 75. Let k(h) = -3*h. Let j be k(-1). Is w less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1 - t + 3 + 5*t. Let w(l) be the second derivative of 0 - 1\/2*l**3 - l**2 - 2*l. Calculate -4*a(g) - 5*w(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 + 7*k**2 + 4*k - 20. Let s be a(5). What is s rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39170717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341040687 and 788.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccctcccccc.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -275, -221, -167, -113, -59?\n\"Answer: 54*u - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1500 and 1250.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-3*(sqrt(704) + 0) - sqrt(704)) + sqrt(704) + 5)*-5)**2.\nAnswer: -54000*sqrt(11) + 1431225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(9\/12) - (-20 + 21). Solve -s + 4 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13 - 182\/13)\/(4\/28). Let k(t) = -t**2 - 6*t + 4. What is k(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2278\/469 + (-6)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1056093602 and -6.1.\nAnswer: -1056093608.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2406*k**3 - 2417*k**3 + 4826*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(3) + sqrt(3) + (sqrt(192) - ((sqrt(192)*1 - sqrt(192)) + sqrt(192) + sqrt(192)))))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let t(c) = 65*c**2. Give t(o(u)).\nAnswer: 260*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -107*q - 238. What is the hundreds digit of i(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = 21. Suppose 4*x = -4 - 32. Find the common denominator of -57\/10 and x\/4*c\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31097526, -31097524, -31097522, -31097520?\nAnswer: -31097518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.403 take away 0.37?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005747759 to 6 dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**4\/24 + v**3\/3 - v**2. Let u(z) = -z + 4. Suppose -5*h + 16 = -3*h. Let j be u(h). What is k(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 times 6?\nAnswer: 7002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403274431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*b**3 + 717*b**3 - 1341*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 23616.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 3*l)*(0 - 2 + 0)*(-35 + 54 - 32) + 0 - 2*l - 2 + 1.\nAnswer: -54*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 4*w + 228. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14881 * -126.\nAnswer: -1875006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a + 0*a)*(4 + 2*a - 4)*(6 + 6 - 10).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/11657 + 990781\/373024. Calculate the common denominator of y and ((-1)\/(-6))\/(4\/(-118)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1569*l**2 - 326*l**2 + 1729*l**2.\nAnswer: 2972*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 919.5109 tonnes?\nAnswer: 919510900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14236919 is divided by 46.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -2. Suppose 2*p + t = -3*p + 5, -4*p + 4*t + w = 0. Suppose 3*l + p = 14. Solve -l*u + u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(-23*l**2 + 6*l**2 - 11*l**2 + 2*l**3 - l) to m*l + i + a*l**2 + z*l**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4281\/5 in 3\/4, 0.06, -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*sqrt(891) - sqrt(891))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (201\/(-66) + 3)*(14 + -32 + 14)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*z - 8*h - 49, z - 4*h = 26. Suppose -d - 2*j = -11 - 145, -2*j - z = 0. Suppose 2*b - f = 86, -4*b - f + d = -4. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*v + 132. Let r be (-2 - (-237)\/v) + 2\/(-11). Sort 8, r, -2\/5, -4 in ascending order.\nAnswer: -4, -2\/5, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (55\/22 - 1\/2)\/(270\/60). What is a in 0*a - b*a**2 + 68\/9*a**5 - 110\/9*a**4 + 0 + 46\/9*a**3 = 0?\nAnswer: 0, 2\/17, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -1545?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewxgxeggxxgxwdex. What is prob of picking 2 w?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11390 by 87.\nAnswer: 11390\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 406728 and 1629.\nAnswer: 73617768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24635, 24808, 24981?\nAnswer: 25154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 128411.4nm?\nAnswer: 0.0001284114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 0, 0 = 4332*u - 4327*u - n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/29))**(-2)\/(q**4\/q*q**(1\/6)))**(6\/13) assuming q is positive.\nAnswer: q**(-575\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -12*k - 27. Is k bigger than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1525 is divided by 490.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1238 = -2*i, i + 4*i = 3*s - 1273. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002505 rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {j: 1, t: 5, e: 3, n: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 6*y - 2. Let d be a(6). Let t = -52 + d. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/4)\/((-804)\/(-1407) - (-22)\/(-14))*4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -596247317*h**4 - 506692772.\nAnswer: -2384989268*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-5)*p)\/(p*p**(-4\/17)))**21 assuming p is positive.\nAnswer: p**(2583\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 + -1 + -7 + (-8 - -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 5852 = 11*v. Suppose -7*j = -11*j - v. Sort 2, 4, j, -1 in descending order.\nAnswer: 4, 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/9 and (-1)\/(-29)*(-42)\/(-12).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -39. Let y be -2*r*-1 - 0. Suppose -27 + 33 + g**5 + y*g**3 + 8*g**5 - 30*g**4 - 15*g = 0. Calculate g.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n. Solve 2*t - 2 = -n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1959*z + 1657*z - 6946 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 + a**2 + 9*a + 1. Let x(k) = 16*k**3 + 4*k**2 + 46*k + 5. Calculate 11*b(i) - 2*x(i).\nAnswer: i**3 + 3*i**2 + 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4696 + 4669 + 6214\/230?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 972 = m - 3872, -4*v - 11520 = -4*m. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3088c (base 14) to base 2\nAnswer: 11100100011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:03 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 42. Let b = u - 12. Solve 3*n - b = 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3233000033303 - 10?\nAnswer: 3233000033233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-74)\/8)\/(-1))\/(36\/144). Suppose 33 = -b + r. Solve -5*k + g - b = 0, -2*k + 0*g + g - 4 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -26*i**2 - 16*i + 16. Let o(g) = g**2 + g - 1. What is 3*d(k) + 48*o(k)?\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-2 + 2 - 17*g + (-3*g - g + 2*g)*(2 + 2 - 2)).\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.5929 rounded to 1 decimal place?\nAnswer: 124.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o + 4*t, -2*t - 20 = 3*t. Suppose 3 + 17 = o*b. Suppose 30 = b*z + z. What is the greatest common divisor of z and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 6:26 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, 10, 5 in descending order.\nAnswer: 15, 10, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + h**4 + 2*h**4)*(-4*h - 3*h + 5*h) + 57*h**5 + 1640*h**2 - 1640*h**2 - 19*h**3 + 19*h**3 - 5*h**5.\nAnswer: 44*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k - k + k + k in the form y*k + u and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1388\/7 - -198. Let l = -0.6 - -0.2. Let z = 3032\/6019 + -162\/463. Which is the closest to v? (a) z (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93143 is divided by 12972.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -498*r - 39. Let f be v(-1). Let u = -460 + f. Let k(a) = 6*a**3 + 2*a**2 - 1. Calculate k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 24\/267474163?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253 and 1859?\nAnswer: 42757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/20242 and -17\/182.\nAnswer: 1842022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36672 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.28438 grams to kilograms.\nAnswer: 0.07128438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53006529511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1080 - 1075. Solve -c*w + 18 = 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*1*5*-3)\/((-2*sqrt(7920) - sqrt(7920))\/sqrt(11)).\nAnswer: 5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142714 + 240536 = -6289*r + 2639*r for r.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(sqrt(85)\/sqrt(180) + sqrt(1088) + 2 - 5*(-1*sqrt(306))\/sqrt(2))**2.\nAnswer: 1112*sqrt(17)\/3 + 328601\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*o = 1217215 + 53336. What are the prime factors of o?\nAnswer: 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 - -0.11. Let f be (-23)\/(-3) + (-2)\/3. Let z be 1\/(-2) - f\/(-8). Which is the biggest value? (a) t (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 28. Suppose 5*o - f = -0*f - r, o + f + 6 = 0. Let j = o + 12. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18526 + 36*i**3 + 18526.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**3 + 76*d**2 + 646*d - 724. Let m(h) = 46*h**2 - 1 + 2*h**3 + 47*h**2 - 92*h**2. Let j(g) = 2*m(g) - x(g). Determine i so that j(i) = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + (6 + -8)*(-121)\/34. Sort b, -0.1, 4\/31.\nAnswer: -0.1, b, 4\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209 a factor of 5186944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 + -190. Suppose 4 = -n*w + 3*w. Let r(p) = -p**3 + 4*p**2 - 3*p + 2. Let u be r(3). Solve -w - u = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240011 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5100)*2 - (sqrt(5100) + sqrt(5100)*1)*4)\/((sqrt(36) - (2*sqrt(4356) - sqrt(36)))\/(2*-1*sqrt(12))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(0 - 2) + (0 - -2). Solve -4*i - 6 = -u*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -42, -12, -6, 45 in decreasing order.\nAnswer: 45, 1, -6, -12, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7142655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 41844*d + 167363. Give w(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24)\/(1200\/64 + -19).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylynlyllyynllnnyllny. Give prob of sequence yl.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 45 = 2*w. Let v be w\/(-5) + 16\/40. Solve 3*h = h - 2, v*b + 5*h = -25 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541984511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 3, i: 2}. Give prob of sequence iw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1589 + -1572. Calculate the remainder when 556 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*f - 357*f = 2*t - 50, 5*t - 3*f - 169 = 34 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4798 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 583967565?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(-24)\/32*-1. Suppose 0 = -t - 4*m - 97, -m - 390 = a*t - t. Is -80 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 3 + 2\/3*d**3 - d**2 + 0*d. Factor k(p).\nAnswer: 2*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/264?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 + -105.4. Let u = 2.6 - a. Let p = -16 - u. What is the smallest value in -2, p, -3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(72)\/(sqrt(24)\/sqrt(2)))\/sqrt(2).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1624 - -1662. Calculate the remainder when 106 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*1 + 2 + (3*sqrt(363) - sqrt(363)) + -1 - (sqrt(363) + -1 + -3 + sqrt(363)*2*-4 + -3))**2.\nAnswer: 1760*sqrt(3) + 36364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83358?\nAnswer: 2, 3, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*n = -3*z + 1567, -z + 518 = 3*n. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 1164.\nAnswer: 36084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(3*sqrt(3)) - sqrt(13)) + (sqrt(13) + -4 + sqrt(208))**2.\nAnswer: -122*sqrt(13)\/3 + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239 is divided by 174?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5 - 108 = -4*l, 2*l - 164 = 4*j. Let a = j + 29. Let n = a - -22. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149273 is divided by 149262.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*i - i + 3*i + (0 + 0 + 2)*(0*i - i + 0*i) - 2 - i + 2.\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 7) to base 4.\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81382.644 milliseconds to days.\nAnswer: 0.00094192875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 2*n + 46. Let g be d(-4). Let y(l) = 4*l + 1. Calculate y(g).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288 a factor of 137097251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {j: 10, f: 2}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 666461847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**3 + 9*z**2 + 1. Let o(t) = -6*t**3 + 10*t**2 + t + 2. Let a(f) = 6*o(f) - 7*r(f). Give a(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215365090 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:24 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 185900 = -22*r + 27*r, -3*r - 4*n = -111561. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(0 - 2\/10*5). Suppose 4*c - 127 = -3*h + 118, 145 = f*c - 3*h. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 488, 485, 482?\n\"Answer: -3*b + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 252?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, -87, -136, -241, -420, -691, -1072, -1581?\n\"Answer: -3*o**3 - o**2 + 13*o - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 89 (c) 2 (d) 9 (e) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 0) + 102 + -104 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 5. Suppose 0 = s*b - 6*b - 432. Let a = 2 - b. Which is smaller: -45 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 94828614.3ms?\nAnswer: 0.15679334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, -2096, -4719, -7666, -11045, -14964, -19531, -24854?\nAnswer: -31041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 4*s**5\/5 + 3*s**4 + 8*s**3\/3 - 1151. Let k(r) = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-14 - (-6 + -23 + -9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (-4*3\/(-6))\/(9\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -66.4 (c) 0.1 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3\/7 + 332*f**2\/7 + 1024*f\/7 + 688\/7 = 0 for f.\nAnswer: -2, -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 21 = 6*q + 2*s, 0 = 4*q + 4*s + 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g**3*l - 11442*g**3 + 5324*g**2*l - 2*g*l + 4*g + 4*l wrt g.\nAnswer: -30*l - 68652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 + ((-6)\/(-12) - 2). Which is the nearest to 0.35? (a) 5 (b) -1\/4 (c) s (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**2 + 8*q - 8. Let x(a) = -4*a**2 - 5*a + 5. Let w(t) = 5*i(t) + 8*x(t). Let d(y) = -10 + 2*y**2 + 10. What is d(w(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 28*t**2 - 5*t + 5264356932 - 5264356936.\nAnswer: 28*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 + -105. Let z(x) = -x**3 - 4*x**2 - 4*x - 7. Let j be z(-5). Let n = y - j. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2. Let c(p) be the second derivative of -p**3\/6 + 6*p + 4. What is c(i(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 244330 and 142910?\nAnswer: 7574230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 28*l**5 + 13671860*l**4 - 3906276*l**3 - 13671860*l**2 + 3906248*l = 0.\nAnswer: -488281, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 17*w**2 + 7*w - 28. Let f(p) = -17*p**2 - 6*p + 21. Calculate 6*f(u) + 5*g(u).\nAnswer: -17*u**2 - u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 0, -9, -4, 30 in increasing order.\nAnswer: -9, -4, -2, 0, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-1 - 11\/(-8)). Solve -3*j + 4*y + 15 = 0, j - y - 4*y - s = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 7:53 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttuwtttttttutwu. What is prob of sequence ut?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-2)\/((-14)\/21). Let h(f) = -5*f - 3. Let w be h(-9). Let i be (-2)\/(-3) - w\/9. Which is the closest to -2? (a) -1\/11 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -943.1474155 - -0.6.\nAnswer: -942.5474155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85718361, -171436723, -257155085?\n\"Answer: -85718362*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 5:31 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 1091*l - 1087*l + p, 0 = 5*l - 3*p - 28 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2980533?\nAnswer: 3, 29, 34259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -14. Suppose s = 4*w + a*s - 497, 4*w + 4*s - 492 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*k**(-1\/7)\/k*k*k*k)\/k)**35)**26 assuming k is positive.\nAnswer: k**3510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -1\/18, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/39878 and 30\/1397.\nAnswer: 438658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/35*(-28)\/(-40)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*y + 3*d, -8*d + 12*d + 9 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x - 7 = 0. Let o(g) = -g**2 - 10*g - 5. Does 7 divide o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*o + 190*o + 3776 = 0 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)\/t)**(-1\/10)\/((t\/((t**(-1\/11)\/t)\/t))\/t**(-1\/4)) assuming t is positive.\nAnswer: t**(-1437\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 316, 314, 312, 310?\n\"Answer: -2*c + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.54895 + 11294608.\nAnswer: 11294605.45105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38030 divided by 7606?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 3*r = -48. Let y(m) = -653 - 653 - 69*m**r + 1306. Let l(g) = 2*g**2. Give l(y(s)).\nAnswer: 9522*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/119 (b) 7\/150 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 181325918 - 3?\nAnswer: 181325915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 724659724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 6*x - 5*x)*(-4*x**4 - 2*x**4 + 4*x**4) + x**3 - 2*x**5 - x**3.\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 3*y**2 + 2*y**4 - 3*y**2 + (4*y**3 + 2*y**3 - 5*y**3)*(2*y + 3 - 3) + 4*y**4 - 2*y**4 + 0*y**4 + (2*y**4 + 0*y**4 + 0*y**4)*(-4 - 1 + 4).\nAnswer: 4*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -276679*o**4 - 306764*o wrt o?\nAnswer: -3320148*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 - 21*z**2\/5 + 3*z\/5 + 21\/5.\nAnswer: -3*(z - 1)*(z + 1)*(z + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97715 is divided by 13681.\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 7*f**2 - 7*f + 10. Let s = -108 + 157. Let n = 55 - s. Let j be h(n). Solve 4*k - 36 = j*v, 25 = 4*k + k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 4*t - 2. Let o(h) = 2*h**2 + 2*h - 1. What is 7*o(z) - 4*q(z)?\nAnswer: 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*t - 10 = 27, 0 = -5*a + 3*t + 43. Is 7 a factor of (-4 - -16)*14\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49981294 or 49981280?\nAnswer: 49981294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208671 divided by 4.\nAnswer: -208671\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-6))\/(5 + (-362)\/72). Let z(w) = -12*w - 213. Let o be z(h). Solve 14 = -5*p - 3*c, 3*p + 16 = -c + o*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5*g = -v - 89, 3*g + 247 = 2*v. Let a = g - -530. What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 3*j**2 + 7*j - 11. What are the prime factors of i(-6)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 33. Let k = y - 2.95. Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 85245.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**5 + 4*d**4 + 10*d**3 + 14*d**2 - 6*d - 6. Let h(r) = -2*r**4 - r**3 - r**2 + r + 1. Let j(w) = 6*h(w) + x(w). Determine g so that j(g) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 565420\/3 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) 59\/110 (c) -3 (d) 165 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.684 and -78389?\nAnswer: 78397.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -0.52?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -8)\/1 + 1. Let n be ((-4)\/p)\/((-3)\/(-9)). Let o be 6\/(-15) + 7\/5. Solve -3*x + 4*u - o = -n, -4*x = 5*u + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 14. Let d be q(-3). Solve -4*x - 12 = 0, d*c + 4*x + 1 = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 511053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568147479?\nAnswer: 3, 7211, 26263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 625100 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 248026518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5)*h*h)\/h**5*(h**0)**(-42))\/(h**(-3\/2)\/h**(1\/2)*h*h\/((h**(2\/5)\/h)\/h)*h*h*h*h**6*h*h*h) assuming h is positive.\nAnswer: h**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 79*p**3 - 4343*p**2 - 113*p + 167. Calculate o(55).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-1))\/((-3455)\/1382)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-2)*((-84)\/(-21))\/20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15214 is divided by 7110.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**6\/45 + j**5\/10 - j**4\/6 + j**3\/9 + 4*j. Let b(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/10)\/v**(-1\/7) assuming v is positive.\nAnswer: v**(3\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(2\/7)\/s)\/s)\/s*s)\/(s**(-1\/4)*s))**(2\/35) assuming s is positive.\nAnswer: s**(-69\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 8*l**2 + 4*l - 11. Determine f(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26189531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*a - 6 = -2, 10 = 3*z - 4*a. What is the first derivative of 0 - 4 - 6*v**z + 4*v**2 - 2 wrt v?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 10763906?\nAnswer: -430556.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g*g*g**(-3\/7)*g)\/((g\/(g*g**0))\/(g**2*g*g))*(g*g**1\/g)**(-4)\/((g*g**(3\/8))\/(g*g**(-1\/3))) assuming g is positive.\nAnswer: g**(-107\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 7, 292.\nAnswer: -5, -1, 7, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 288354 and -1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 240*c - 1626. Let o be a(7). Solve 6*n - o*n + 1 = 0, 0 = z + 2*n + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108 - 51 - 206*g + 903*g**2 - 59 wrt g?\nAnswer: 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {d: 7, f: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 714 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**7\/105 + 3*c**6\/20 + 2*c**5\/3 - 56*c**2. Factor v(n).\nAnswer: 2*n**2*(n + 4)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45013 by -45013.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49482521 is divided by 14397.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - 2*w. Suppose 0 = 2*t - 2, -2*a = a + 3*t - 9. Let j(x) = -9*x**2 + 5*x + 1. Give a*j(o) + 5*h(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 892666 and 892669 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (38 - 12) + 15 + (1 - 63).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -230636166 != -230636166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(-2\/7))\/q)\/q**(1\/7))\/(q**(-1\/7)\/q**(-5\/2)))**(8\/11) assuming q is positive.\nAnswer: q**(-124\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.411 - 255.7.\nAnswer: -291.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 3*o + 0 - 10 + 5*o. Let p be y(4). Suppose -18 = -g - 0. Calculate the greatest common factor of p and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 v when three letters picked without replacement from {o: 6, f: 1, g: 2, v: 2, r: 5, q: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1)\/(-2 + 78\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1447.12?\nAnswer: -1447.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75132 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 3*p + 16 = 2*y, y + 27 = 5*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-42))\/(4\/(-44))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/(-100)*20\/72 and -47\/1020.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72177230 + 2?\nAnswer: 72177232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3086a9 (base 12) in base 14?\nAnswer: -15b637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 6*d + 10. Let h(g) = 5*g**2 + 3*g - 6. Calculate the lowest common multiple of u(-8) and h(2).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.36066mg in tonnes?\nAnswer: 0.00000007536066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s - 1. Let f(z) = -9*z - 7. Let u be f(-3). Let k = 18 - u. Give t(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 7:39 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n = -2*s + 30, -2*s = -4*n + 6. Let a be (-3)\/n + 888\/32. Suppose -64 = -3*q + 5*c, 2*q - 4*c - 17 = a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:14 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w*w**(-2\/7)*w)*w)\/w)\/w)**(-35)*(w*w\/w**0)\/w**(-3) assuming w is positive.\nAnswer: w**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 866078156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10)\/((-21)\/105)*16\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1155 + 2445 - 1818 - 14008*i + 4202 wrt i?\nAnswer: -14008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 438*v - 1784.\nAnswer: 2*(v - 4)*(v + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 90 = 5*a - 6*s, a = 5*s - 26. Let y = a + 8. Let f = y + 14. Calculate the remainder when 23 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) 4\/9 (b) 0.5 (c) 38 (d) 7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9380646 a multiple of 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p\/(p*p**(-22\/3)\/p)))\/p)**(42\/11))**46 assuming p is positive.\nAnswer: p**(-18032\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - y = -5*v + 40, 3*y + 2*v + 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00084173 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498981 is divided by 498945?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*m + 38, 4*t = 2*t - 2*m - 24. Round t to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b4 - -1?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 720022477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/(-195))\/((-2)\/6). Let r = -0.7 - -1. Which is the closest to 1? (a) f (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:44 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qidicdddcqdiced. What is prob of picking 1 q, 1 e, and 1 d?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 203201230 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 462*p - 2915 + 481*p - 941*p to the form w*p + r and give r.\nAnswer: -2915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -37032 (b) 124\/23 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 44*b**2 + b + 48. What is s(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 3)*(4*c + 0*c - c)*(5 + 4 - 5) + 22 - 23 + 14*c - 2*c to the form n + z*c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2858*i - 791660. Give f(-277).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 6. Suppose 0 = -b*h + 3*h. Let t = 0 - h. Solve -4*d + 6*d + 8 = t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*4\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 33187, -67, -4, -1 in increasing order.\nAnswer: -67, -4, -1, 2, 33187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 24 = 9*l. Let c(a) = 0*a**3 + 6*a - 3 - 6*a**3 - 6*a**2 - l*a**3 + 13*a**3. Determine c(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12986 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10143, 17376, 24609, 31842?\nAnswer: 39075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4 + 166*s**3 + 524*s**2 + 200*s - 416 = 0. What is s?\nAnswer: -52, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3278 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -5 - -15) + -5 + (-2 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 4 + (0 + 1 + 1)*(1 + 2 - 4) - 3 + 2 - 3)*(-1 + 1 - 3)*(-1 + 1 - 2*z) to the form y + h*z and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - r**3 + r**3 + (-3*r**3 + 0*r**3 + 2*r**3)*(4 - 2 - 1) - 2*r**3 + 2*r**3 - 2*r**3 - 3 - r**3 + 3 + r**3 + r**3 + 4*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2598, 2611, 2626, 2643, 2662, 2683, 2706?\n\"Answer: h**2 + 10*h + 2587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2658 and 38.\nAnswer: 50502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4*2)\/((-4 - 2)\/(-6)). Suppose -d*f + 533 = -595. Suppose 7*r - 4*r + f = 0. Which is bigger: r or -91\/2?\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**6\/120 + b**5\/40 - b**4\/4 - 8*b**3\/3 + 18. Let o(t) be the third derivative of k(t). Let o(y) = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (7 - 11 - (0 + 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4 + 11*k - 16*k + 5 + k**2. Let h be v(4). Sort -2, h, -3 in decreasing order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/60 - 4*t**5\/15 + t**4 + 48*t**3 + 129*t**2\/2 + 110*t. Let r(s) be the first derivative of y(s). Factor r(b).\nAnswer: -2*(b - 4)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11 = -2*d, -5*r - 4*d = 1 - 12. Suppose 2*t + 21 = r*y, 5*t + 4*y + 43 + 21 = 0. Sort t, -1, -4 in decreasing order.\nAnswer: -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3184938kg to micrograms.\nAnswer: 318493800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*x - 0. Suppose 0 = -4*u - 5 + 17. Suppose -u*c = 3*v - 297, 0 = 4*c - 6*v + v - 369. Calculate the highest common divisor of c and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - x - 44 = 2*x, 0 = x + 2. Let n = a + 40. Let k be ((-16)\/(-10) - n) + 156\/15. Which is smaller: 8 or k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35256826 is divided by 449?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 - 13 = 75*w. Solve 17 = -w*x + 3*x + 3*f, -2*f + 18 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0975744 millimeters?\nAnswer: 0.00975744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 1, f: 1, v: 3, e: 1}. What is prob of sequence fe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -99*q + 12. Let u be h(-2). What is the highest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 40 - 1\/2*a**6 + 0*a - 21\/4*a**4 + 0*a**2 + 3*a**3 + 3*a**5. Factor h(l).\nAnswer: -3*l**2*(l - 3)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*u + 108*u = -5*f + 71424, -2*u + 47590 = -f. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6, c: 5, w: 2, q: 1, g: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*x - 28 = -90*x. Let k(c) = 325*c - 5*c**x - 325*c. Let n(f) = 14*f. Give k(n(b)).\nAnswer: -980*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 2*w**5\/55 - 8*w**4\/11 + 64*w**3\/11 - 256*w**2\/11 + 512*w\/11 + 400. Factor q(h).\nAnswer: 2*(h - 4)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*z**3 - 13*z**3 - 19*z**3)*(3 - 3 - z**2).\nAnswer: 17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -121*t - 209*t**2 + 233*t - 112*t. Let k(b) = -2*b**2. What is s(k(z))?\nAnswer: -836*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3406506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59.4 - -57.7. Let v = w + -2.56. What is v rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a. Let t = -129 - -124. Let f = a - t. Let w(n) = -n + 2. Calculate w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12002290301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-3)*q**(-1))\/(q*q**(-3\/5)*q*(q\/(q*q\/q**(-1\/3)))\/q)*((q\/(q*q\/(q**1*q)*q))\/q)\/(q**3\/q)*((q*q**(-5))\/q)\/q**(-1) assuming q is positive.\nAnswer: q**(-121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1493 + 1492.9999998533. What is p rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 5*w**2 + w + 1. Let d be l(-2). Let y = 18 - d. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/124 and -53\/1676?\nAnswer: 51956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aa8580 (base 11) in base 5?\nAnswer: -1401233242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -36\/247?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 50*l - 110 + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 0*x - 4*x + (-1 - 2*x + 1)*(4 + 0 - 5) + (-7 + 10 - 6)*(0 + 0 - 2*x - 3 + 3 - 2*x + (2 + 1 - 2)*(-x + x - x) + 2*x - 7*x + x).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3909*y**3 - 16*y**2 - 19*y + 30. Let x be g(17). Round x to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*o + 226*o - 1693 = 337*o + 313 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 2*u**4 - 30 + 3*u**4 + 3*u**3 - u - 7*u**4 to b + k*u + d*u**2 + t*u**3 + s*u**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -1 + 3 + 33 - (3080 - 3076)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (-368)\/(-115) + 2\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88441230 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/5)\/(s**(-10)*s))**39 assuming s is positive.\nAnswer: s**(1638\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6853, 4 in descending order.\nAnswer: 4, -5, -6853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-77)*572\/99. Let i = h + -2\/33. Which is smaller: i or -0.43?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 7.5482 (c) -1060\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 + -76.9. Let d = 1.6 + 0.4. Let h be (-60860)\/2506 - (-72)\/3. Which is the closest to k? (a) h (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 40*k + 24*k + 90 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*z + 12668, -3*x = -6*x + z + 9496. Is x a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11054 + 17836. What are the prime factors of z?\nAnswer: 2, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/65016 and -5\/546.\nAnswer: 845208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001010101111 + 10010011111010?\nAnswer: -1110110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 640100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04519269 and -0.2?\nAnswer: -0.009038538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51739700 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 - 4*s - 2. Let w(t) = -3 - 3*t - 11*t**2 + 4*t**2 - 4*t. Let l(i) = 5*a(i) - 3*w(i). Let g be l(1). Sort 3, 5, g.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 19*r + 66. Calculate z(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 566800 and 515025.\nAnswer: 107125200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17333 (base 8) in base 5?\nAnswer: 223044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-210)\/180*6)\/(14\/(-115142)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 + 172. What is the remainder when 59 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1222060552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 9) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11206 divided by -4854.\nAnswer: 5603\/2427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5081*p**2 - 224*p**3 + 2534*p**2 + 2547*p**2 - 12*p**3.\nAnswer: -236*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 22757*p**2 - 9448*p**2 + 24652*p**2 as r*p**2 + d*p + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*c - 691 - 497 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*t + 42*t - 20*t**2 + 1681*t**3 - 3*t**2.\nAnswer: 1681*t**3 - 23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 44*q**2 - 6*q - 7. Is r(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2179 or -2176?\nAnswer: -2179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -13*v**3 - 29*v**2 + 1992*v + 3985. Give a(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:18 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10704658 - 0.05688.\nAnswer: -10704658.05688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1483, -5466, -12103, -21394, -33339?\n\"Answer: -1327*b**2 - 2*b - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448719657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + 4*sqrt(77)))*5 - sqrt(77))\/(sqrt(21)\/(sqrt(147) - sqrt(3))).\nAnswer: -126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-70584)\/(-1730) - (-7)\/35\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cbd (base 14) in base 6?\nAnswer: 40211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = -66. Calculate the greatest common divisor of k and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 274001.7 millilitres?\nAnswer: 274.0017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**6\/48 + 39*q**5\/5 + 471*q**4\/16 + 118*q**3\/3 + 315*q**2\/16 + 7926. Determine f, given that n(f) = 0.\nAnswer: -1, 0, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -131768.\nAnswer: 5\/131768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2)\/z)\/z)\/z*z)**(-12\/11)*z**(-3\/5)*((z**(-25)*z)\/z)\/z assuming z is positive.\nAnswer: z**(-1223\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = p + 38, -21 = p - o. Let l = p + 47. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*t + t + 8 = 0, 2*c - 4*t = 0. Let i be 18\/c*-1*440\/(-285). Find h such that -2*h**2 - i*h + 48\/19*h**4 + 8\/19*h**5 + 66\/19*h**3 - 18\/19 = 0.\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 - 0?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45691?\nAnswer: 45691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 73. Calculate the least common multiple of x(21) and 18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11935\/3 - 3981. Suppose -1 + 3 = -k. Is z smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 8. Let k = -3 + g. Calculate the remainder when 3 is divided by 3\/k - (-88)\/32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 163*b**2 - 303*b + 4460. Give p(-165).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**3 + 7*k**2\/2 - 456*k - 775. Differentiate z(q) wrt q.\nAnswer: 6*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + f**2 + 1. Let o be (3\/(-15)*-2)\/((-1)\/5). Let d(g) = -3*g**3 - g**2 - 2. Let z be 0 - (-2 - -3)\/1. Calculate o*w(k) + z*d(k).\nAnswer: k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:53 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -834, -3798, -8710, -15570?\n\"Answer: -974*t**2 - 42*t + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/154808 and -13\/69116.\nAnswer: 72295336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/2297?\nAnswer: -6\/2297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -207, -315, -529, -885, -1419, -2167?\nAnswer: -3165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.853 + -0.147. What is the biggest value in r, -4, -1, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952, 1903, 2854?\nAnswer: 3805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74, 113, 152?\n\"Answer: 39*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 724017.1 to the nearest one hundred.\nAnswer: 724000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 bigger than -89985.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -65500 (base 7) to base 2\nAnswer: -11111111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -736515132 or -736515131?\nAnswer: -736515132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*s - 35 - 145 = -714*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6607212270 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 138.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 53*q**2 - 2*q - 8. Let p be y(-3). Suppose -4*k = 5*w + 1230, k = 2 + 3. Let i = w + p. Is i a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 25. Let k be d\/(12\/4 + -1). Suppose -2*a = -k*a + 44. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -4055\/91463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/36 and -85\/76745448.\nAnswer: 76745448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*y**2 + 316068*y - 23412 = 0 for y.\nAnswer: 2\/27, 3902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -12, 1, -2 in increasing order.\nAnswer: -12, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -39 = -117479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85 and 110.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 7:51 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87 (base 9) to base 8.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -26*t - 6. Let b(l) = -26*l - 5. Calculate -7*b(s) + 6*j(s).\nAnswer: 26*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = 4*o, k = 3*o + 15 + 7. Calculate the common denominator of 32\/9 and (o\/(-20))\/((-36)\/1070).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, 0.06, -164, -0.7, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -97\/2*n**2 - 58*n + 73\/6*n**3 - 2. What is the first derivative of l(x) wrt x?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1318659146 to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 2*a - 95. Suppose -5*l + a + 6 = 0. Solve 0 = s + 2*s - r - 3, -21 = -3*s - l*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1506392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)\/(9\/(-36)). Suppose -k - 3*a = 5, -p*a - 28 = -2*k - 2*k. Let u(d) = d**3 - 4*d**2 + 6*d - 3. List the prime factors of u(k).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5964932 + -0.132194.\nAnswer: 5964931.867806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 7:14 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*k + 80 = 0, 5*z - z - 64 = 3*k. Let q be ((-1)\/1)\/((-2)\/142). Let b = 135 - q. Calculate the highest common divisor of z and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3210.117 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-5 + 2 + -2). Let z = 8 + c. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, p: 3, b: 5}. What is prob of picking 2 b?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -132 - -103542?\nAnswer: 103410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-72))\/((-2)\/36)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(605) - (sqrt(605) + 1))**2 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {x: 18, n: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33660249?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 19*q - 3. Let m be y(0). Let w be (-6)\/(-21) + m*3\/(-189). Put 5, -3, w, -8 in decreasing order.\nAnswer: 5, w, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(2\/19)*(i**(-1\/4))**(-7\/13) assuming i is positive.\nAnswer: i**(445\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -343695 minus 0.2?\nAnswer: -343695.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3 + 1)\/(14\/147). Let q(j) = -j**2 + 4*j - 10. Let t be q(y). Which is bigger: t or -34?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:34 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*m + 260, -2*m + 180 = -2*o - o. Suppose 0 = -4*p + 5*x + 176, -m + 26 = -2*p - 5*x. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60576 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 1 - -1)*(7 - 8). Solve 3*j - 4 - t = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 6724226?\nAnswer: 6724222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2250, -4490, -6726, -8958, -11186, -13410?\nAnswer: -15630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/9 + 28640*v\/9 - 19096\/3 = 0. What is v?\nAnswer: -14322, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from qxxxqxqmxxqm.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - 87. Let v be (-91)\/(-28) - 2\/8. Suppose 3*i - 15 = 0, -8*x + 9*x + 3*i = 15. Solve -w = -v*f + 3*z, -5*f - 4*z = -x*z - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/23, 2\/17, 0, 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/9 - (-8)\/(-24). Let t be (h - 3)\/(8\/(-4)). Let g = t - -7. Solve -5*i = -2*w - 2*w + g, -4*i = w + 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 930.3219 minutes to milliseconds.\nAnswer: 55819314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -64.4 (b) -46\/755 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 = -z. Suppose -2*j + 10 = -5*w - 9, z = j - 4*w. Let k be 0 + (j - (-24)\/(-9)). What is the third biggest value in -2\/7, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*a + 62*a + 2*x = -36, -x = -3 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)\/u**5)**(3\/10))**(-2\/29) assuming u is positive.\nAnswer: u**(27\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 3 - 3 - 1. Let r be d(-6). Solve 0 = -r*i - 4*c + 20, 0*c = -c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 1. Suppose k*t - 17 = 3*g, t - 3*g - 2 = -1. Let c = t + -6. Calculate the remainder when 37 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 13 + 6 + 6 + -11 - 93?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -73. Calculate the greatest common divisor of 14 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 34 = -p, 3*p = k - 3*k + 85. Let f(s) = -58 + p - 3*s + 19. Let o be f(-4). Solve 0 = -4*z + o + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 10) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 1, n: 5, v: 1, q: 3, r: 3}. Give prob of sequence nq.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 255 = -11*h. Suppose h*n - n - 80 = 0. What is the smallest common multiple of 9 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**3 + 7*i**2 + 6*i + 9. What is the smallest common multiple of k(-3) and 297?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 4. Suppose r*b = 427 - 67. Suppose 8*o - 5*o = b. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -391239.758+404.055\nAnswer: -390835.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/3 + 3\/(-9). Let c be a\/9 + 65\/3. Suppose r - c = -r. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5004.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**4 + 11640*o**3 - 23260*o**2 = 0.\nAnswer: 0, 2, 2326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029414 rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/9)*o)\/o*o*o**(-26\/3)*(o**(5\/8)*o)**(-7\/5) assuming o is positive.\nAnswer: o**(-3419\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 7264827?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - c = 10579, 3*d - 7928 = -6*c + 8*c. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -480*p**2 + 8. Let f(r) = -482*r**2 + 10. Give -4*f(v) + 5*t(v).\nAnswer: -472*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 146. Suppose -v*x + 9*x - 652 = 0. What is the remainder when x is divided by 85?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 17507251?\nAnswer: -1\/17507251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 98*z**2 - 9*z + 8468. Calculate d(-97).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*f = 0, -5*o = 2*f - 5 - 1. Suppose -2*v = -o*x + 12, -4*v - 4 = -4*x - 5*v. Solve 0 = -5*q + 4*m - 17, x*q + 10 + 7 = 5*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3128 and 6558220?\nAnswer: 222979480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/14 - (-10)\/(-10)) + -1440. Let v(o) = 12*o**3 + 2*o**2 - 2*o + 4. Let g be v(-5). Let z = r - g. What is the common denominator of z and 13\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 69, 127, 237, 417, 685, 1059, 1557?\nAnswer: 2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228873536.\nAnswer: 2, 149, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1234 = -1206. Suppose 84 + x = 4*z. Suppose -3*v + 4*a + 345 = 0, 0 = -2*v + a + 82 + z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 + 9223*p - 1290820\/7.\nAnswer: -(p - 64541)*(p - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-14)*46\/(-23)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -32, -18 in descending order.\nAnswer: 71, -18, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3709958593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2993 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000274291 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 32*l**2 + 111*l + 46. Give j(-29).\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvvr when four letters picked without replacement from vrvvvvbvvbbbrvbbgv?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/9240921 and -23\/22419.\nAnswer: 434323287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -2*u**7\/105 - u**6\/15 + u**5\/5 + 5*u**2\/2 + 6. Let j(b) be the second derivative of m(b). Suppose j(t) = 0. Calculate t.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4909384?\nAnswer: 2, 613673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poqp when four letters picked without replacement from qpqoffqbfqp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 181909651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/29 (b) 31 (c) 0.029 (d) -2\/3 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**3 - 2*g**2 - 2*g - 1. Let y be f(-1). Let z(c) = c**3 + 9*c**2 - 10*c + 9. What is the least common multiple of z(y) and (14 + -2)*6\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/24)\/(2\/3). Let s = o - -13. Let n = s - 13. Solve n*d - 3*p = 2*p + 25, -4*p = 5*d + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1885181.8 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - -16?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*j + 55, 5*j + 59 = 2*j + g. Let s be 2\/3 - j\/15. Let r be (s\/(-12) - -1)*6. Solve -5 = r*l - 2*u + 4, u = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 1, y: 1, e: 2}. What is prob of sequence tyey?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 - 0) + -4)\/(-1). Let h(a) = -2 + 4*a + 3 + 7 - 4. What is the units digit of h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7998457, -2, 3\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(0 - d + 0) + 2*d - d + 0*d + (-4 + 3 + 2)*(8 + 5*d - 8) + 0*d - d + 4*d + d + 5*d - 7*d + d - 1 + 1.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 286 + 106 = 0. Let u = 3 + 2. Calculate the remainder when g is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*x**2 + 108*x**2 + 0 + 0 - 232*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103.7 - 87.76. Let p = x - -0.06. Let v = -16.9 + p. What is v rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/222*2\/(4\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4486676.29 to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3934126*z + 3934074*z = 3068 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -22*a - 60. Let i be j(-3). What is the nearest to i in 0.5, -4\/7, 2\/9, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1862*b**5 + 1036*b wrt b?\nAnswer: -37240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 840*z - 96 wrt z?\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -252 (b) -1.53 (c) -1.7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -58742 + 16546. What are the prime factors of f?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -638658186*j**2 + 180686802.\nAnswer: -1277316372*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*l + 13. Let r(n) = -n**2 + 6. Let w be r(-7). Let f = -25 - w. Solve -l*z + 4*y = z - 16, -5*z + 2*y = -f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.3. Sort -5, 1, d in decreasing order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - -0.46. Put -2, -2\/3, y in decreasing order.\nAnswer: y, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 2*c**2 + 3*c + 1. Let i be p(3). Let l be (4 - (-60)\/(-16))*(i + -5). Is 0.3 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71\/1290 - -1\/86. Let t(r) be the third derivative of -2*r**2 - 1\/30*r**4 - 7\/150*r**5 - 1\/75*r**6 + 0*r + 0 + b*r**3. Determine k, given that t(k) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 15*h + 432. What is k(-30)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1 - 3*g**2 + 2*g**2 + 0. Let t(b) be the first derivative of -7*b**3\/3 + b**2 + 5*b + 216. Let k(l) = -3*d(l) + t(l). What is k(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1, 11, 78 in increasing order.\nAnswer: -1, 0, 1, 11, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -73404*m + 73411. What is g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9502103?\nAnswer: 13, 389, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 2*v - 21. Let o(j) = j**2 + 35*j + 221. What is the remainder when v is divided by o(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 21 = -i, 1713*i - k - 10 = 1707*i - 0*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 647 = -11. What is the first derivative of -82 - c - 53 + q + 45*q**2 - q wrt q?\nAnswer: 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 1. Let p(r) = -2. Let m be (-3)\/(-7) + 2071\/133. Suppose 10*z + m = -4. Determine z*x(u) - p(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 80 = 9*b. Sort 0, b, 3, -2 in decreasing order.\nAnswer: 3, 0, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 96*q**2 + q + 2. Let j(f) = 191*f**2 + 2*f + 4. Calculate 9*h(i) - 4*j(i).\nAnswer: 100*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(931) + 2 + -5 + -5)**2.\nAnswer: -3980 + 448*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.4 <= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*-3*2. What is the units digit of 6*s + -3 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -5413\nAnswer: -15\/5413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + (-1*sqrt(156)*1 - sqrt(156))\/((sqrt(1452)*-1 - sqrt(1452)) + sqrt(12)))**2.\nAnswer: -4*sqrt(13)\/7 + 4021\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 966 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + m = 9, 3*m = -3*f - 0*m. Let l(s) = -4*s**2 + 0*s**3 + 3*s - 4*s**3 + 5*s**3. Let v be l(f). Solve -k + 2*c = 1, 0 = -v*k + 3*k + 2*c - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, 8\/3, -63 in descending order.\nAnswer: 3, 8\/3, -0.5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 35*s - 196, 5*s + 650 = 645 for z.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t\/(t**(2\/11)*t))\/t*t)))\/t*t**(-2\/19)*t**(1\/11)\/(t*(((t*t**(-2\/29))\/t)\/t)\/t))**(-7\/5) assuming t is positive.\nAnswer: t**(5397\/30305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/11 (b) -5 (c) -0.3807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2198303758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 85, 96, 61, -26, -171, -380?\n\"Answer: -r**3 - 17*r**2 + 69*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274695218.69 + 0.0022?\nAnswer: 1274695218.6922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/42*(-5 - (-435)\/45)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 11:11 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 460*n**2. Let t(l) = -2*l**2 + 22*l + 4. Calculate t(q(c)).\nAnswer: -423200*c**4 + 10120*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/7, -497, 57285?\nAnswer: 57285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -452 - 1?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2307327 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != -96024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*-2)\/(sqrt(6) + sqrt(30)\/(1*sqrt(5)) + sqrt(6)) - 2*-1*(sqrt(1700) - (sqrt(1700) - -4*sqrt(1700))).\nAnswer: -244*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from eetett.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 - a**5 + 6*a**5 + (0 + 3*a + 0)*(3*a**4 - a**4 - a**4) + 0*a**5 + 0*a**5 + 2*a**5.\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024786 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18678.194 + 18867.79174. Let b = r - 211.597766. Let m = b + 22. Round m to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2643, -6543.\nAnswer: -6543, -2643, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 3*w**2 - 2*w. Let l be f(2). Let s be l + -3 - (-20)\/6. Put -5, -1, s in increasing order.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = 0, -5*x - 29 + 4 = 5*a. Suppose a = y - 0 - 4. Let f be (-1 - 18\/4)*-2. Solve 4*g + 1 + f = -4*l, y*g = 2*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -382, -374, -366, -358, -350?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 448 = 4*g. Let t = 57 - 50. What is the highest common factor of g and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 96, 78, 42, -18, -108, -234?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40216301.\nAnswer: 29, 293, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3596*d = 3594*d + 106595, 3*o = -5*d + 106571. List the prime factors of o.\nAnswer: 35537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/10 - 73*z**5\/4 + 2443*z**4\/8 - 294*z**3 - 10378*z**2. Determine c so that h(c) = 0.\nAnswer: 1\/4, 7, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/(-33417))\/((-140)\/(-630))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15*s**2 + 1265*s + 2466. Determine l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*q = -15, 28 = -2*o - 2*o + 2*q. What is the tens digit of (-525)\/o + 9\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413426538 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -242*g**3*o**2*w**2 + g**3*w - 2*g**3 + 11*g**2*o*w + g**2*w**2 wrt o?\nAnswer: -484*g**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98142?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 1. Let n be f(-1). Let g(o) be the first derivative of -o**4 + 2 - 1\/6*o**6 + 4\/5*o**5 + 0*o**3 + 0*o + 0*o**n. Solve g(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 66 = -h. Find z such that -5*z**2 - 31*z + 5*z**4 + h*z**3 - 16*z - 31 + 0*z**2 - 29 - 33*z = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*w**2 + 0*w**3 + 0*w**3 + 10*w**2 - w**3 to the form y*w + f*w**2 + v + n*w**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {j: 3, g: 1, l: 11, d: 4}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7)\/(x\/x**(-6)*x)*(x\/(x\/(x\/x**(1\/8))*x))\/x*x\/x**(4\/9) assuming x is positive.\nAnswer: x**(-1121\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/30 + (-166)\/(-12). Let r(w) = -w**2 + w + 70. Let p be r(0). Calculate the greatest common factor of v and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.125, -0.4, 2\/7, -12, -1\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (34162 + (-3)\/(-3))\/(16\/16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*z - 2*z + t, -4*z + 2*t + 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 6:38 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -474 + 474. Solve q = 5*f + 2*v - 9, -2*f - 4 + 10 = 2*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/14 and 5\/(25\/(-110)) - 1\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*s - s**3 - 343 + 341 - 4*s**2 - 7*s wrt s.\nAnswer: -6*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.54 and -0.7?\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7018 take away -0.2?\nAnswer: -7017.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-44)\/(-8) + 1)*4. Suppose -j + 10*l + u = 6*l, 2*j - 3*l - 57 = 0. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttimqik?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/(-14))\/(28\/98). Calculate the greatest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 121 in 5, -790, -253, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.993962g to micrograms.\nAnswer: 7993962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1)\/(4\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1655 + 0.15.\nAnswer: 1655.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 3.1761?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-7))\/((-1)\/(-6)). Suppose -5*v = l*j - 2*j - 9, j - 4*v + 3 = 0. Is 1\/4 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 2*g + 0*g + g - 2*g - g + (0 - 6 + 4)*(2*g - 3*g + 3*g) - 17*g - 20 + 20 + (-1 + 2 - 2)*(-g - 3*g + 3*g).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10*2 - 0. Let j = 41020.9 + -41021. Which is the nearest to 60? (a) -3 (b) j (c) r (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l**3 - 3*l**2 - 1. Let u(r) be the second derivative of -3*r**5\/5 - r**4\/4 - r**2\/2 - 1640*r. Calculate 4*d(c) - 5*u(c).\nAnswer: 8*c**3 + 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-315))\/(1\/(-140)*-28)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - i - 2*i**3 + 7*i.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + n**2 - 2 + 0*n**3 - 3*n**3 - 74 + 4*n**3 to m*n**4 + w + j*n + c*n**3 + u*n**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2 + 1) - (2*37\/24)\/(-1)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*p - 10*p = -15, 5*d = -4*p + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 2*x**2 + 2. Let g(h) = 44 - 21 + 3*h**2 - 20. Give 3*d(j) - 2*g(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 1055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:26 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != -28653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1055*z = -1066*z + 211123. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:32 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -23*t**2 - 228*t + 9. Determine l(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (8090\/(-2427) - (20\/(-6))\/(-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 39 = -15, -3*h - 2*d - 10 = -4*d + 2*d - d for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 2168.\nAnswer: 10840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 68*j. Let v(t) be the third derivative of -t**5\/6 + 187*t**2 - 1. Calculate v(m(f)).\nAnswer: -46240*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/4775, -4, 9, 0.9 in decreasing order.\nAnswer: 9, 0.9, 2\/4775, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 3*c + 4*c)*(5 - 4 - 2 + 1 - 3 + 1 + (4 - 3 - 2)*(2 - 5 + 2) - 3 - 3 + 4) to w*c + n and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*h + 5, 6*h + 3 = -3*y + 4*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*v*w + 2*f**3*w + f**2*v - 139*f*w wrt f.\nAnswer: -12*v*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - u = 9, -5*j + u - 8 + 23 = 0. Suppose 9*o - 1057 - 977 = 0. Let z = o - 206. Solve -2*m - j*m = -z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 25*j**2 - 10*j - 36. Let w be m(13). Solve -r + 4*f = -8, -2*r + 15 = w*r + 5*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10545 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqnga?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/((-1118)\/(-260))*2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -561*h**3 - 206.\nAnswer: -1683*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(86*928\/513764)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*q = -3*c + 7, 3*c - 11 = -2*q. Let x = 73 + -38. Suppose -2*n + x = 5*p, -4*p = 3*n - c*p - 72. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4344618, 4344599, 4344568, 4344519, 4344446, 4344343, 4344204, 4344023?\n\"Answer: -i**3 - 12*i + 4344631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/15615 and 65\/21?\nAnswer: 109305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-24)\/m*m*m\/(m\/(m\/m**10*m))*m*m*(m\/m**18)\/(m\/m**(-3\/4)*m) assuming m is positive.\nAnswer: m**(-199\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - w)*(4*w**3 - 2*w**3 + 0*w**3) + w**3 - w**3 + w**4.\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 45, 1, -633, 0, 2\/19, 0.02 in decreasing order.\nAnswer: 45, 1, 2\/19, 0.02, 0, -2, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 17. Let d be i(0). Suppose 0 = -l + d - 15. What is the greatest common factor of 18 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14622078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(2160) - -2*sqrt(2160) - sqrt(2160))*4)\/(sqrt(24)\/(-2*sqrt(6)\/sqrt(3) - sqrt(2))) + 4)*-2 + 5.\nAnswer: 3 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2534539 and -2534543 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9939.37 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/13 - 8300*y\/13 - 8611250\/13 = 0. Calculate y.\nAnswer: -2075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - s = -21, -3*f - 5*s + 43 - 6 = 0. Let p = 3 + 0. Suppose f*r = r + p. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a387 (base 11) in base 2?\nAnswer: 110111011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*g = -190*g - 66. Let n(c) = -c**3 + 12*c**2 - 9*c - 13. Give n(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/64440 and 47\/90.\nAnswer: 64440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 3*d + 6. Give v(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*n + 40, -2*n + 0*n = -3*i + 49. Suppose -5*o + 20 = -i. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + x**2 + 2 - 23 + 3*x - 20*x - 12 = 0.\nAnswer: -5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 8. Let q be n(9). Let g be ((-2)\/6)\/(q\/2). Suppose -9*j = -4*j + 25. Sort j, 0.2, g in decreasing order.\nAnswer: 0.2, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**3*t**2 + 13*s**3*t + 2*s**2*t + 375*s*t**2 wrt s.\nAnswer: 30*t**2 + 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7205 (base 12) to base 11\nAnswer: -9343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33962939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 3*x**2 + 2*x. Let t(z) be the third derivative of -z**6\/24 - 7*z**5\/60 - 5*z**4\/24 + 30*z**2. Give -9*d(j) - 4*t(j).\nAnswer: 2*j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1714 = 3*a + 35, 5*a - 3553 = -4*c. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let z(o) = 529255556*o. Give z(w(c)).\nAnswer: -529255556*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 1 a when three letters picked without replacement from achhcaaaaaah.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -223, -0.3 in increasing order.\nAnswer: -223, -5, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2767.1682 minutes to hours.\nAnswer: 46.11947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 + -214.\nAnswer: -215.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/11 - 15360\/264. Let b = h - -87. Let v = 138 - 83. Calculate the remainder when v is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -761 divided by 1\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4159108.7 rounded to the nearest 10000?\nAnswer: -4160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30475763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 144? (a) 21 (b) 3 (c) 0.3 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*m - 0*s - 240, -m + 3*s = 64. Let l = 49 + m. Does l = -1\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -288764 divided by -105\nAnswer: 41252\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 436*w**2 - 361*w + 724. Is x(2) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.88 and 12.\nAnswer: 13.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - 8) + -12 + 11 + -27.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13198 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 703849937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*((-310)\/(-31))\/30. Suppose 0 = -a - 4*x + 17, -3*a + 33 = -2*x + 10. Solve n*y + a*y = -24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-4 - 12) - -3 - -2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 160*(-20)\/(-880)*(-88)\/(-144)\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 192617, 192581, 192531, 192473, 192413, 192357?\n\"Answer: p**3 - 13*p**2 - 4*p + 192633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 5*q - q + (-40*q - 28*q + 18*q)*(3 + 7 + 8) as d*q + b and give d.\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffmffffffff. Give prob of picking 3 f.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63, -127, -191, -255, -319, -383?\n\"Answer: -64*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31.7 - -32. Is p smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14245, -19824, -25403?\n\"Answer: -5579*g - 8666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37248.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 194 + 518. What is the greatest common factor of n and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/140278374 and 31\/31172972.\nAnswer: 280556748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 3479 + 10962 + 3323.\nAnswer: -l**3 + 10806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -736, 0, -2, 40866 in decreasing order.\nAnswer: 40866, 0, -2, -736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 + 32*v**4 + 374*v**3 + 1972*v**2 + 4785*v + 4356 = 0. Calculate v.\nAnswer: -11, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.05. Let l = x + -0.35. Let z(q) = 2*q. Let y be z(2). Which is the closest to 1\/4? (a) l (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**5 + 54195*b**4 + 326109000*b**3 + 652211214360*b**2 - 8538562634640*b - 9190447794192 = 0.\nAnswer: -6026, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-54))\/((-6)\/18)*-29.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.082 - -2.1. Let h = d - -3.882. Let g = -4 + h. Is -3\/5 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -28.3 (c) -5 (d) 3 (e) -0.038 (f) 0.4 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + 0*k**4 + 2*k**5 + (22*k - 22*k + 36*k**4)*(-k + 5*k - 3*k).\nAnswer: 38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Let s be 0\/1 - (7 - 17). Suppose 2*z - s = 4*z, -g*z = -c + 33. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1578?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742887139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2413*d. Let b(i) = -5903*i. What is m(b(q))?\nAnswer: -14243939*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115975 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkku when four letters picked without replacement from {u: 2, n: 6, x: 1, k: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 + a**3)*(-33 + 10 - 54 - 87).\nAnswer: 328*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*b + 1 + (b - 4 + 4)*(1 + 2 + 4) to a + d*b and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*((0 + 4 + -2*sqrt(891))*2)**2.\nAnswer: -17280*sqrt(11) + 429600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -13*m + 1. Let y(a) = -2*a**2 + 5*a. Let x be y(4). Let v = 75 + x. Let g be 45\/v - 4\/(-14). Determine o(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {l: 11, o: 1, g: 1, u: 4, k: 1, s: 1}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -10)*14\/(-8). Let f = r - 5. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -9*i**5\/20 + 4*i**3\/3 - 3*i. Find the second derivative of c(r) wrt r.\nAnswer: -54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = 5. Let o(l) = 4*l**2 + 3*l - 1. Let c(t) = -21*t**2 - 16*t + 5. Let m(b) = r*c(b) + 11*o(b). What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klllllllllll. What is prob of picking 2 l?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 48696?\nAnswer: 97392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 91436865.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.631 + 1.63099153. What is b rounded to seven dps?\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 13 - 15. Suppose -j*f + 304 = 2*b, 62 - 371 = -2*f - 3*b. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 19*t**2 + 23*t + 96. Let i be u(-18). What is the highest common divisor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3 = 0, -441*k + 9 = -444*k - 2*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83727.8 and -24?\nAnswer: -2009467.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*c - 62, 2*v - 2 = 2. Solve -t - c = 3*t - 5*z, 0 = 4*z + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-6 - 2) + (-41 - -37) - 6\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3196060.38 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13291*i**6 - i**5 + 37505*i**2?\nAnswer: 1594920*i**3 - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1113*b**2 - 607*b - 2 wrt b?\nAnswer: -2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 65 (b) -5 (c) -12 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130713 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16526019949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112\/159 - -2\/53. Let x = 408.2 - 408. What is the nearest to x in -2, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -40*g + 920. Let m be a(23). Solve m = 33*v - 29 - 70 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1953 + 1988 - (2 + 69)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 41*i + 7. Let c(p) = -20*p - 3. What is 7*c(r) + 3*l(r)?\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -180 - -4?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 11:35 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5755 = -5*y + 2714, 3*y = 0. Let o = c - 1355. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 431, 1924, 4407, 7874, 12319, 17736, 24119, 31462?\n\"Answer: -n**3 + 501*n**2 - 3*n - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**2 + 0*w**2 - 7 + 10*w - 2*w**2 + 10*w**2. Let c be l(-11). Differentiate 3*s**4 + 10*s**4 + 0*s**4 + 3*s**c + 8 wrt s.\nAnswer: 64*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:34 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -766, -1529, -2292?\n\"Answer: -763*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571 - 571 + 915048*p.\nAnswer: 915048*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4897.\nAnswer: 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:44 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4565 + 200833\/44. Calculate the common denominator of 9\/14 and n.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 400 and 350.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let b = u + -17. Let j = 21 + b. Calculate the remainder when 11 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 6227949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*p**2 - 93*p**2 + 47*p**2)*(1 - 1 - p**2 + (3 + 5 - 3)*(-2*p**2 - 2 + 2)).\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 406448 = -32*b - 33*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o**3 + 21*o**2 + 23*o**2 - 44*o**2.\nAnswer: -61*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 84*t**2 + 62 - 168 - 85*t**2 + 54.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6)\/g**3*g**3*g*g**(3\/5))\/(((g\/g**(2\/9))\/((g\/(g*g**(-7)))\/g))\/(g*g\/(g\/(g**(1\/4)\/g)*g*g*g)*g*g*g**(-1\/5)*g)) assuming g is positive.\nAnswer: g**(1207\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 424739992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11421, -11423, -11425?\nAnswer: -11427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -595*m**5\/12 - 29*m**4\/24 - 17*m**3\/6 - 1213*m**2. Find the second derivative of g(c) wrt c.\nAnswer: -5950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4545 is divided by 1133.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 2*o**2 + 18*o**3 - 19*o**3 + 2*o - 4 to y*o**3 + g*o**2 + t + j*o and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, -44, -41, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2392925927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 163107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -537*s - 874. Let v(y) = y - 107. What is -8*v(h) + z(h)?\nAnswer: -545*h - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233 - 252?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*-2*(sqrt(1100) - (sqrt(1100) + (sqrt(1100) + 0 - sqrt(1100)) + sqrt(1100) + -3))*-5 + 5)**2*1.\nAnswer: -156000*sqrt(11) + 2774336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 110*z - 28 = -109*z, -l - z = -4 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1122 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 2865700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.00318676 - 24.99682324. Let p = 22 - 47. Let g = k - p. What is g rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/4 of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3778000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, and 1 w when three letters picked without replacement from {e: 1, c: 1, m: 2, w: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 3\/7, 0.1, 41?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 13*y - 1. Let t(c) = c**2 - 7*c. Let a be t(7). Suppose a = -2*b + 4 - 2. List the prime factors of g(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111762013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**4 + 7*f + f - f**2 - 9*f**4 + f wrt f.\nAnswer: -72*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + -30323?\nAnswer: -30301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i - 7. Give x(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469829213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 13*r**2 - 2*r**3 - 21*r**2 + 25*r**2 in the form j*r + m*r**2 + d*r**3 + w and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, 1\/6, 2, 120, -2?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26 - 9\/(-3) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z + z - 2 - 5*z + 2*z + 0 + (0*z + 0*z - 2*z)*(-2 + 4 + 0).\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65.52 - -65.53. What is the second biggest value in k, 0.37, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22254 + -7801. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 17*l - 21. Let m be h(-15). Let v = m + -7. Suppose -j - 1 = -q - 8, 3*j = -v*q - 4. Solve -12 = -f - j*a, -2*f + 3*a + 1 = 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 17, t: 2}. Give prob of picking 1 t and 3 y.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1170 or -3509\/3?\nAnswer: -1170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 25*c**2 - 56*c + 55. What is the smallest common multiple of n(1) and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 30888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1*2)*0. Suppose 2 = 3*m - 1. Let h be -1 - 7*m\/(-6). What is the nearest to c in -0.3, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j - 0*j. Let g be 410\/25 + j\/10. Suppose 2*v - 2*h - g = -0*h, 0 = 5*h + 25. Solve v*u + 18 - 6 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 349*a + 4821 = -309 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418956784?\nAnswer: 2, 61, 429259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 6*p**2 - 102 + 52 + 53 - 2*p**3 to v*p**3 + n*p**2 + c + l*p and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15591881069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**3\/7 - 76*b**2\/7 + 30*b - 108\/7 = 0. Calculate b.\nAnswer: 2\/3, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -4 (c) 5 (d) -14 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/16 + (-2)\/(-8). Suppose -145 = -c*d - 2*d. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/6007 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-14)*7\/2. Solve 3 = 2*a - w*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56.645 + 0.145. Let m = n + 57. Sort -4\/9, m, -0.09 in decreasing order.\nAnswer: m, -0.09, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m**3 - 2805*m**2 + 3*m + 312. Give n(-187).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Suppose 2560 = 4*j + b, 3*b = x*j + 5*b - 1280. Suppose -2996 = -3*k + h, -j = -4*k + 5*h + 3340. Round k to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182 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 the square root of 13316842 to the nearest integer?\nAnswer: 3649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(1\/9)))\/g)\/(g**7*g))\/(g\/(g*g**(-7))*g*g**2) assuming g is positive.\nAnswer: g**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2344, 146, -19?\nAnswer: 0.2344","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 95515*o**3 + 95523*o**3 - 3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17*l + 1007. Let m be h(59). Solve -5*s = 2*v + 2*v, -3*v + m*s = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 l when four letters picked without replacement from lbbllllbblblbbll?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j - 2. Let w(b) = -9*b - 32. Suppose 5*f + 3*r + 0 = 4, 4*f - 3*r = -13. Let x(n) = f*w(n) + 4*c(n). What is the first derivative of x(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297569 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 11:07 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:56 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*k = -2*r - 2, 2*r - 4*k + 2 = 0. Let i be -7*3\/15 + 1. Let h(p) = p + 1. Let w be h(2). Which is the nearest to i? (a) 4 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8680 - -8715. Calculate the smallest common multiple of l and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 3 = 13*d. Let i be 6\/3 + d + 1. Suppose 4*u = g - 37, -3*g + 59 = 2*u + i. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -t - 24, -t = t + 4*d + 18. Let r = -4 - -6. What is the highest common divisor of t and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(16\/12))\/(3\/(-6)). Put c, -1, 4, 5 in decreasing order.\nAnswer: 5, 4, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927170653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:44 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24123 (base 5) in base 6?\nAnswer: 12140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(700) + -2 - (sqrt(700) + (-5 + -2 + sqrt(700))**2) - (-1 + sqrt(700)*-1*1).\nAnswer: -750 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 371630*c**3.\nAnswer: 5*c**3*(c - 74326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -160, 23.\nAnswer: -160, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10350, 20681, 31000, 41301, 51578, 61825, 72036, 82205?\nAnswer: 92326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 28*q - 121. What is o(-2)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 less than or equal to 469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 + (-25 + 14 - -13 - 4) + -6 + -4?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, 0.4, 1358173.\nAnswer: 0.1, 0.4, 4, 1358173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5902*u**2 + u + 1. Let q(d) = -d**3 + 21*d**2 - 18*d - 39. Let m be q(20). Let w be t(m). Round w to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21384)\/825 - 2\/25)*(-2 + 3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935463 to the power of 1\/2, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 5*q**2 + 3*q - 9. Let k be p(5). Let v be (k\/15)\/(((-9)\/15)\/(-3)). Suppose -v*x + 855 + 119 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -75*t**5 - 28340*t**4 + 1300905*t**3 - 10980450*t**2 + 26641000*t - 3360000 = 0.\nAnswer: -420, 2\/15, 5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2232, -2234, -2236, -2238, -2240?\n\"Answer: -2*v - 2230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128223 is divided by 342.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -7\/4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4 - 449*g**3 + 4*g**2 + 4017*g?\nAnswer: 24*g**2 - 2694*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 12:33 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 28514.17 years?\nAnswer: 285.1417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 5*s - 5*s + (1 - 3 + 4)*(-15*s + 15*s + s**2)*(970*s**2 - 1403090 + 1403090) to the form g*s + v*s**3 + d + n*s**2 + b*s**4 and give b.\nAnswer: 1939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/2 - 7*z. Let x(u) = 0*u - u + 3*u. Calculate x(v(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) -33 (c) 18 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83940 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 + -335.73. Let t = 0.73 + d. Which is the second biggest value? (a) t (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -4*i**2 + 0*i - 1\/45*i**3 - 2\/225*i**5 + 0 + 1\/36*i**4. Factor v(s).\nAnswer: -2*(s - 1)*(4*s - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 27971766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 247 + 13*g - 106 + 2*g**2 - 140. Determine b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63, 95, 129, 165?\n\"Answer: g**2 + 29*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(242) + -2 - sqrt(242) - sqrt(242)) + sqrt(242) + ((sqrt(242) + -1)*-6 - sqrt(242)))*2)**2 + -2)*-1.\nAnswer: -47494 + 2464*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 + a - 7. Suppose 2*h = -0*h + 6. Suppose 3*o + h*r - 12 = 0, 5*r = -4*o - 1 + 20. Let d be (o\/(-3))\/((-1)\/18). Determine t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 853*o**4\/4 - 14*o**3\/3 - 2*o + 584. Find the third derivative of h(c) wrt c.\nAnswer: 5118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3 + 19*s**2 + 112*s + 192 = 0.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 3*c + 15, -10*s + 5*c + 57 = 6*c. Solve -s*n = -1 - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 2) in base 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -549780*o**4 - 1750210*o**2?\nAnswer: -13194720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-70)\/16))\/((-95040)\/(-3088800))\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4693\/3 - 1588. What is the common denominator of x and 2*(-10)\/(-44) + 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 812935 divided by -1.\nAnswer: -812935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72962381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 12) to base 15.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198281 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 59. Let z = 52 + r. What is the smallest common multiple of ((-2)\/(-6))\/((-4)\/(-132)) and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8204 - -68?\nAnswer: 826c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 716584?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10802 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 1, v: 1, u: 2, a: 1}. What is prob of picking 1 u and 1 w?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131076 is divided by 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/3 - 428*k**2\/3 - 11888*k + 132480 = 0.\nAnswer: -72, 10, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 + 113)*3\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.1 (b) 9 (c) 0.3 (d) 3 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3985877 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7939, -7846, -7741, -7618, -7471, -7294, -7081?\n\"Answer: w**3 + 86*w - 8026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {w: 1, k: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/3388 and -3\/118580?\nAnswer: 118580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -5, -18\/7, 2, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389265693?\nAnswer: 3, 129755231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9515076 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**4 + u**3 + u**2 - u + 1. Let n(h) = 3*h + h**2 + 5*h**3 - h**2 + h**2 + h**4 - 8*h**3 + 1. Let f(z) = -3*i(z) + n(z). Factor f(v).\nAnswer: 2*(v - 1)**2*(v + 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1880 + -1855. Which is the smallest value? (a) f (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1520, -6204, -14024, -24992, -39120, -56420, -76904?\n\"Answer: -2*u**3 - 1556*u**2 - 2*u + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12 and 4 + ((-3)\/30)\/((-45)\/(-2330)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11133 + 110201012002?\nAnswer: 110201023201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30277.\nAnswer: 13, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4125\/27 + (-1 - 11\/(-9)). Calculate the highest common divisor of m and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*y + 69 + 87 - 393*y - 156 + 180*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558 divided by 2.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 + 79*y**2 - 15104*y**3 + 15098*y**3 - 174*y**2 - 813*y - 608*y**2 = 0. Calculate y.\nAnswer: -116, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 557415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-891)\/(-27))\/(15\/(-5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57360 rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:37 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2.2. Let j = 0.4 + f. Let v = j + -3.2. Which is the nearest to 0.1? (a) v (b) -1\/7 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let l(d) = 13*d. Let o(y) = -6*b(y) - l(y). Let w(u) = -9*u**2 + 6*u**2 - 11 + 11 - 16*u**2. Calculate o(w(z)).\nAnswer: 133*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjjtctjjjctycttc. What is prob of picking 1 c and 1 j?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1680246 and -58\/280041.\nAnswer: 1680246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 + 3*i**3 - 4*i**2 + 6*i + 3235. Determine g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l + 6*l + 6 + 4*l as h + s*l and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -719926, -2879469, -6478698, -11517607, -17996190, -25914441, -35272354?\n\"Answer: g**3 - 719849*g**2 - 3*g - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 10. Let t be b(9). Suppose x + t = 5. Suppose -180 = -x*l - 4*u, 0 = 3*l - 8*l + 2*u + 246. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*u + w, 3*u - 5*w - 6 - 38 = 0. Let z = u - 7. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 7. Let h be t(-5). Let q be 2 + 4\/(1 + 1). Let p = h - q. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 1, t: 5}. Give prob of picking 1 c and 3 t.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 13*c - 4. Suppose x + 3*h = -3 + 8, 5*x + 2*h = 12. Let q(b) = -2*b**2 - 12*b + 6. Let u(g) = x*q(g) + 3*d(g). Factor u(o).\nAnswer: 5*o*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*c**4 + 135*c**2?\nAnswer: -2112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -229, -2, -4 in increasing order.\nAnswer: -229, -4, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - -2.97. Which is the closest to -2? (a) -1 (b) h (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*m = -2*m + 76, 4*d + 56 = 4*m. Calculate the remainder when 22 is divided by (d\/30)\/((-1)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(5\/8)*g\/(g*g\/(g*g**(-1\/2))))\/((g\/(g\/(g*g\/g**(-33)*g*g*g))*g)\/(g**(2\/9)*g)) assuming g is positive.\nAnswer: g**(-2729\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 265, 98, -253, -854, -1771?\nAnswer: -3070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 1 (c) 493 (d) -3\/5 (e) -1\/162 (f) 2\/19 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 0*x + x + (0 + 1 + 0)*(0*x + 2*x + 3*x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 - 0.14. Let u = 7 - 7.4. Which is the fourth biggest value? (a) u (b) -0.5 (c) -3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 33922*l\/3 + 1291924\/3.\nAnswer: -2*(l - 16999)*(l + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17719*b + 539993 - 150175 = 0 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*h - 3 = 0, -2*g + 2*h + 15 = 3. Suppose 0 = -0*n - g*n + 75. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41b92 - -10?\nAnswer: -41b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 4\/5, 5, -4, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*x - 0. Suppose 4*g + 7*c - 54 = 2*c, -g + 12 = x*c. Suppose 9*b - 5*b - g = 0. What is the closest to 1 in b, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -782 + 836. Solve -k - o = -52 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2019*w**2 - 1047*w**2 - 370*w**2 to the form s*w**2 + j*w + m and give s.\nAnswer: -3436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (sqrt(288) + 1)**2 + sqrt(288) + -3 + 4).\nAnswer: -1445 - 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2038258, 0.5, 0.1, 5 in increasing order.\nAnswer: -2038258, 0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 474, -1, -655?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1532 - -971. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4 + 19*z**3 + 40*z**2 - 400*z = 0.\nAnswer: -5, 0, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6)**(-42) assuming u is positive.\nAnswer: u**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 252 = -1062. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 2, n: 3, f: 4, g: 2}. What is prob of sequence ggbb?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 24143*f - 24 + 23.\nAnswer: 24143*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 5*y - 146. Let r be v(10). Solve 0 = -r*i + 3*h - 4, 3*i + 5 = -5*h + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11836802 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u - 122. Let i be x(-19). Suppose -3*m + 36 = -15. Let t = m - i. What is the highest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-10))\/(15057\/(-294) - -51) + -6 + -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Suppose 36 = q*w - w. Suppose 4*l - w = -4*a, 0 = -a - 3*a - l + 45. 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: Let x(f) = -3*f**2 + 197*f - 197*f - 4*f**2. Let o(h) = -4*h. Calculate x(o(w)).\nAnswer: -112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (8\/12)\/((-4)\/18). Let g = 4 - a. Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*y - 128 - 19 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -0.5, 3\/4, 6.564?\nAnswer: 6.564","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7)\/(164\/287).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 365 and 775552.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2 + 462*p + 2*p**3 - 15*p**2 - 2 - 2*p**2 - 52*p**2 - 18*p**2 wrt p?\nAnswer: 12*p - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 12. Calculate q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*z = -8, 3*b - 4*z = -z + 9. Is -1\/3 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 at most as big as 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21394631 is divided by 189?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*s - 83*s - 33 = 0. Let j(b) = -15*b**3 - 2*b**2 - 2*b - 1. Let l be j(-1). Suppose 2*v - 28 = -2*i, 6*v + l = 2*i + v. Is s at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389147?\nAnswer: 11, 17, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513 a factor of 69328706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 189\/7 + -3 + 0. Let p = 29 - w. Sort 3, p, -4 in descending order.\nAnswer: p, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1651 - 850. Suppose -9*x + 0*x = -p. What are the prime factors of x?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3912265 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3704824 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*r - 480, -4*x = -0*r - 4*r + 360. Is -94 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2. Let d(q) = 27548*q. Give d(v(b)).\nAnswer: -82644*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o. Let l(z) be the first derivative of -6*z**2 + 43 - 176 + 93. Determine g(l(r)).\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 6*k**2 - k. Let r be v(-6). Suppose -4*h + 2*t + 1080012 = r*t, t = 3*h - 809997. What is h rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10222536?\nAnswer: 2, 3, 425939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006474192 to six dps.\nAnswer: 0.000647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 5504765195.\nAnswer: -5504765194.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41662 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2592 + 2592. Let u(j) be the third derivative of -j**4\/12 + 4*j**3\/3 + 36*j**2. Give u(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 86 = -5*u. What is the units digit of ((-24)\/u)\/((-15)\/(-50))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 6, -4, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**3\/3 - 31*i**2\/2 - i - 43. List the prime factors of n(-23).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**3 - 4*l**2 + 4*l - 3. Let i(z) be the first derivative of -11\/3*z**3 + 11\/2*z**2 + 33 - 8*z + 3*z**4. Calculate -4*i(f) + 11*v(f).\nAnswer: -4*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emmme. Give prob of sequence eem.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 27*v = -60 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 629 or 13028?\nAnswer: 13028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1977\/8671 - -4\/377. Let h = -36798 - -36797. Do g and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*j = -94*j + 308*j - 962 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.53. Let v = 0.0299997 - d. What is v rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.16 (b) -1\/2 (c) 0.08 (d) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 117033 + 3*k + 0*k - 101345.\nAnswer: k - 218378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d. Let t be (1\/(-8)*-4)\/((-3)\/(-180)). Let j(p) = t*p**2 - 17*p**2 - 18*p**2. Give j(y(k)).\nAnswer: -245*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6123 + -25323. Round s to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16886 + 23847. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v - 32. Let i(n) = -n + 11. Let g(q) = 2*a(q) + 7*i(q). Is g(-4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 + 0*u**2 - u**2 + (4*u - 2*u - 3*u)*(u + u - 4*u) - u**2 + 4*u**2 - 4*u**2 as o + p*u**2 + b*u and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2800 and 110272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide -72*(-3 - (-5)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 15*w - 9. Let f(o) = o**2 + o - 1. Let y(z) = 4*f(z) - l(z). Let b(p) = -2*p**2 + 4*p - 2. Determine -8*b(t) - 3*y(t).\nAnswer: -2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1699, -3355, -5003, -6643?\nAnswer: -8275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 32 = 3*v - 5*w, 2*w = -5*v - 67. Let x = 1 - v. Suppose 34 = 10*h - x. Put -3, 0, h, 2 in ascending order.\nAnswer: -3, 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/43 and -22\/301.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.8 + -61. Let w = 40.2 + n. Which is the biggest value? (a) -1\/5 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*g + 2 - 7 + g**3 - 2 in the form s*g**2 + o*g + w*g**3 + i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 1496742.\nAnswer: 5\/498914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.40055 + 4.4. Round b to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*b**2*c**3 - 205*b**2*c - 2495*c**3 + 19 with respect to b.\nAnswer: -66*b*c**3 - 410*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366856955 to the nearest integer?\nAnswer: 19154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 13*y**2 - 10 - 30*y**2 - y + 11*y**2 + 1 in the form w*y**2 + d*y + s and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33.6 in 2\/1241, -0.3, -180?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 65. Suppose 2*j - 4*n - 40 + v = 0, -3*j + 39 = -3*n. Which is smaller: 12 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 2*k = -8*z - 294, 0 = -3*k - 6. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 15*s**2 + 40*s - 3298. What is the thousands digit of h(-47)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(1 + -4 + 2). Suppose -5*j + 10 = 5*h, -o*j = 35 - 10. Calculate the least common multiple of 9 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -260 - -382. What is the remainder when o is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 43. Find the third derivative of 20*m**j - m**2 + 7*m**4 - 59*m**6 - 1 - 27*m**4 wrt m.\nAnswer: -7080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192335*u + 36*u**2 + 192335*u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*1)**2*-6 + (-6*4*sqrt(63)\/sqrt(9))**2.\nAnswer: 3360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5503, -22088, -49833, -88822, -139139, -200868, -274093?\nAnswer: -358898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 1. Let k be m(3). Let g(t) = -149*t + 6. Let w be g(k). Round w to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -455 - -474. What is the highest common factor of t and 7049?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270.2797 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90985, -91043, -91125, -91225, -91337, -91455, -91573, -91685?\n\"Answer: m**3 - 18*m**2 - 11*m - 90957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284.13 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*n + n. Let q(d) = 22*d - 17*d - n*d + 7. Let y(u) = -u**3 + u**2 + u. Let j be y(0). Calculate q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 298*h - 298*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*d - 164*d - 174*d - 174*d + 883*d - 170*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*a**2\/11 + 5178*a - 281540\/11.\nAnswer: -2*(a - 5)*(65*a - 28154)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 562481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(187)*6 - sqrt(187))\/(sqrt(55)\/(1*sqrt(5))))**2.\nAnswer: -78*sqrt(17) + 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 - 5*i + 5. Suppose 4*w - 18 = -b, -3*b + 0*b = w + 1. Let n(f) = 4*f**3 - f**2 + 6*f - 6. Determine w*n(s) + 6*p(s).\nAnswer: 2*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 - -2 - 0\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-42) + (-72)\/(-7). Calculate the greatest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((9\/9)\/(-2))*(-464)\/16?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((6\/(-10))\/3). Let t(i) = 3 - g + 3 + i. What is the units digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 7*s**2 - 3*s - 2. Suppose -2*w = 3*u + 1, -u + 4 = -3*w - 6*u. Let a be m(w). What is the remainder when 5\/(-10)*(a + 1) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4571.\nAnswer: -4571, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14225009.56 rounded to the nearest one hundred thousand?\nAnswer: 14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*((sqrt(512)*-2 + sqrt(512) - sqrt(512))**2 + -1).\nAnswer: -12282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r - 125. What is k(-21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -61.16. Let h = a - -1.707. Round h to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (7 - 8 - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-8)\/(-1))\/(4\/18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 5.5. Let u = -115780 - -115783. Put x, u, -3 in decreasing order.\nAnswer: u, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 - q**2 - 18*q**2 - 39*q**2.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/5, 1\/2, 0.2, -2\/23, -3, -218, 0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 81*b + 0 - 47*b to d + s*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-28) + (-24)\/28. Let z(g) = -g**2 - 4*g + 2. Let c be z(-4). Sort j, c, 1.\nAnswer: j, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6))**(-2\/23) assuming a is positive.\nAnswer: a**(12\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 10:36 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27872 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 1. Let k(u) = 22*u - 25*u + 11*u - 1 - 4. What is -k(y) + 5*x(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Suppose q*l = 31 + 3. Is l at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.74 and 0.073445?\nAnswer: 0.4215743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0174244 to 5 decimal places.\nAnswer: 0.01742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -6. Suppose 0 = y - 2 - v. Solve y*o + 1 = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:35 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3364)\/470 - -8) + (-12)\/15?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22124\/3 or -7376?\nAnswer: -7376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 + 4 - (-22 + 18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84.74 + 2.74. Let x = w - -82.5. Which is the nearest to 2? (a) -5 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1445*o - 10781*o - 53687 - 190833 = 0 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202.8 + -202.7. What is the fourth biggest value in 2\/23, n, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s + 211*s = 106*s. What is the third smallest value in s, 2\/21, -4, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80869 divided by 11?\nAnswer: 80869\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5990*w**2 + 2559*w**2 + 2482*w**2)*(w - 9*w + 2*w).\nAnswer: 5694*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 177301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/30)\/(3409\/14610). Find q, given that -b + 12\/7*q**4 + 48\/7*q - 38\/7*q**3 + 6\/7*q**2 = 0.\nAnswer: -1, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*s = -21243 + 21246, -5*s + 1 = -5*f - s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3049955 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 383858*c**2*q + 303340*c**2 with respect to q.\nAnswer: 383858*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 90 = -14*r, -19*p + 14*p = -r + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - 1704 + 1704)*(22*g - 49*g + 25*g)*(12 - 3 - 1) + (1 - g - 1)*(g + 2 - 2) to the form a*g**2 + h + k*g and give a.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -23*a**2 - 9*a - 11. Let k be y(-6). Let n = k + 1552. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 2. Let a = 6 + j. What is the derivative of -1 + v**4 + 4 - a*v**4 wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/2 (b) 2\/3 (c) 204 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*p + 3*g, -6 = -p + 3*g + 16. Suppose c - p + 0 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -184*a + 1655368 - 1663648 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -12 (c) -50.58 (d) 2 (e) -3 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -923345*d**2 + 241817*d wrt d.\nAnswer: -1846690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784023540?\nAnswer: 2, 3, 5, 23, 568133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -4 (c) -4.9 (d) 0.1 (e) -1 (f) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-34)\/(-6) + -7)\/(2\/(-81)). Is 8 a factor of (-1 + 17)*(-42 + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*s**2 - 251*s**2 - 252*s**2.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 2, b: 3, n: 1, j: 1, l: 1}. What is prob of picking 1 n, 2 g, and 1 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 1:16 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(10374\/(-12))*(-5434)\/418.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 957 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 34200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 22 - (46 + -48 - -31)) + -37?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 76) + (75 - -30)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let r(m) = 53632188*m. Give p(r(c)).\nAnswer: -53632188*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35036021 > 35036021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11323\/37 - -306. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-24)\/18)*0. Let l(w) be the second derivative of r + w + 1\/2*w**3 + 7\/2*w**2. What is the first derivative of l(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/2713?\nAnswer: 4\/2713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/(-336))\/(4\/28)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.037 - -19.963. Let m = -20.9 + q. Let n = m - -1.04. What is n rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643837103 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/256 and 93\/56.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -113, 3, -3 in decreasing order.\nAnswer: 3, 0, -3, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*m + 18, 4*m - 107*k = -105*k - 14. Let f(v) = 18*v + 92. Give f(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 - 4 + 4)*(0*t**2 - 3*t**2 + 0*t**2) - 109*t**4 + 225*t**4 - 110*t**4.\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-164)\/(-66) + 4\/(-6) and (60\/(-14))\/(258\/(-172))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.092, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131233 is divided by 6381?\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2975, 3638, 4301, 4964, 5627, 6290?\n\"Answer: 663*p + 2312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m - 92. Let z be a(-13). Suppose o + o - 4*f = z, -f = 4*o - 173. Calculate the smallest common multiple of o and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237980483?\nAnswer: 13, 18306191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -14. Let a be (-84)\/(-2) - (y - -1). Suppose 0*g = 3*g - a. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 13) in base 2?\nAnswer: -10111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7*y - 36*y + 1.\nAnswer: -43*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 40 + 6*q + 4 - 10 + 0*q + q. Determine z(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 702 = 2*x, -x - 91*r + 366 = -88*r. Calculate the remainder when 397 is divided by x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -930.692235 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 102*c + 99*c = 263, c - 71 = -n. Suppose -x - 4*f + 344 = 0, -f = -x + 2*f + 337. Calculate the greatest common factor of x and n.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 11. Suppose -2*s - 5*p = s - 47, -s = -2*p - u. Let i = s - 3. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 = -4. Let c be i\/(-2)*(-6 - -7). Let s be (-5 - -5)*c\/(-1). Which is bigger: s or -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 80. Let u be b(26). Let o be 5\/(-30)*u\/175. Suppose 3*a = -2*a + 5. Which is greater: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29 + (-348)\/96*8. Let o*f + 18\/5*f**3 + 4\/5*f**2 + 6\/5*f**4 + 0 - 8\/5*f**5 = 0. Calculate f.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130 - -579.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 5*n. Let q be b(2). Let v be q\/(-27) - (-291)\/(-27). Does v = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 10 + -36 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*-1.666\nAnswer: 2.1658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59.874 + 60. Sort t, 1\/3, 1\/6 in decreasing order.\nAnswer: 1\/3, 1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 - 15*i + 43. Let k be g(-5). Solve -k*h - 120 = -19*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(-6\/5)*(d\/(d\/(d*d**(-5)))*d)\/d assuming d is positive.\nAnswer: d**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 6*h**2 - h - 20. Let b be g(5). Let v(r) be the third derivative of 1\/3*r**3 + 0*r + 2*r**2 + b - 3\/8*r**4 - 13\/30*r**5. Factor v(i).\nAnswer: -(2*i + 1)*(13*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45568501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36588231 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 200? (a) 3\/5 (b) -1 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947101.\nAnswer: 109, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.0827 - -0.0173. Let q = o - 25. What is the closest to 0.2 in q, -5, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1566, -3\/2, -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-8)*q*q**(-10\/7)\/q)**(-2\/3) assuming q is positive.\nAnswer: q**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q - 4*l - 40, 0 = -3*q + l - 55. Let k = q + -9. Let w = k + 48. Is w 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) 4 (b) 0.07 (c) -4 (d) 2 (e) 6 (f) 194 (g) 119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/3 - 706*z**2\/3 + 3509*z\/3 - 2804\/3 = 0. Calculate z.\nAnswer: 1, 4, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 124*t - 370. What is v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2303 (base 5) to base 8\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**2 + 755270214*v + 1245695163.\nAnswer: -2*v + 755270214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*a - 8*a**2 + 2*a**2 + 613*a.\nAnswer: -6*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - 70. Let b = -1708\/9 - f. Sort -2\/5, -1\/2, b.\nAnswer: -1\/2, -2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itiw when four letters picked without replacement from {i: 2, w: 1, k: 2, t: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:34 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2753521 to 3 dps.\nAnswer: 0.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19032, -10181, -1330, 7521?\n\"Answer: 8851*m - 27883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.32 and 51848.6?\nAnswer: 379531.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -137738 - 247?\nAnswer: -138086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -524166 and -0.1.\nAnswer: 52416.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -20, 2*l - 160 = -3*l - 8*m + m + 42*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((41 - 27) + -7 + 12)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 44. What is the nearest to 2\/5 in 0.1, y, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -235641554892.\nAnswer: -235641554892.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -334207 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 66, 114, 182, 276?\n\"Answer: c**3 + c**2 + 24*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(12\/216)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f**2 + 3*f + 3. Let o be r(-2). Suppose 4*g = -i + 16, 4*g = -11*i + 8*i + 8. What is the greatest common divisor of g and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(98) + (sqrt(98) + -5)*-1) + (sqrt(98) - -5*sqrt(98) - sqrt(98))*1 + -4)**2*-6.\nAnswer: -3780*sqrt(2) + 15186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.668 - 0.252. Let i = 0.08 - w. Let c = 6.5 - i. What is the biggest value in -0.4, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*u + 5*u - 6, u = -4*r + 5. Let i be r*(-3 - (-2)\/((-28)\/(-38))). Which is the closest to i? (a) -0.5 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -50, 35, 2 in ascending order.\nAnswer: -116, -50, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -57. Suppose -3*u = -3*d + 39, 5*d + 4 = f. Let k = -6 - u. Solve k*h - 17 + 5 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 - 2*r - 7. Suppose -i - i = 10. List the prime factors of j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 101*v + 306. Calculate w(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (1 - -313642))\/(-1) + 8\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1223*c**3 + 0*c - 1222*c**3 - 2*c - c - 5*c**4 - c**4 + 15*c**2 to the form f*c**2 + o + j*c + r*c**3 + n*c**4 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-2 + -2 + -8 + 5 + 2 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - y = -18, 0*y + 3*y = -5*x + 47. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 978478321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2054 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.29 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2521886, -2521890, -2521894, -2521898, -2521902, -2521906?\n\"Answer: -4*o - 2521882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 234\nAnswer: 22\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*6\/(-20) + (-48)\/120\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 0 + 23*a**4 - 7 + 29*a**2 - 2. Let u(h) = -6*h**4 - 7*h**2 + 2. Let z(p) = 18*u(p) + 4*x(p). What is the third derivative of z(m) wrt m?\nAnswer: -384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53.6309 - -8403.7491. Let k = 8455.879972 - o. Let z = 1.5 + k. Round z to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/5 + 33*y**3\/5 + 72*y**2\/5 - 108*y\/5.\nAnswer: 3*y*(y - 1)*(y + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -27 and 1394.\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(112) + 2)**2 + sqrt(28)\/(sqrt(8)\/sqrt(2)) + (sqrt(140)\/sqrt(4)*-6)\/(sqrt(10)\/sqrt(2)*-3)).\nAnswer: 95*sqrt(7) + 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3987 (base 11) to base 8\nAnswer: 12071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0 - 6. Suppose 2*w = b*w - 4. Calculate the remainder when 15 is divided by 12\/((30\/w)\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126840.68 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145155, -145139, -145123, -145107?\nAnswer: -145091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 x when four letters picked without replacement from {w: 2, x: 2, l: 4, y: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123 + 200?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*a + 31 = 1, 4*y + a - 12 = 0. Let j(d) = d**2 - 5*d - 4. Let c be j(5). Sort y, c, 3 in decreasing order.\nAnswer: 3, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:15 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (46\/(-4))\/(1\/(-2)). Let q be (-3)\/(-5) - (-3)\/(-3) - 28\/(-20). What is the greatest common factor of q and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.001 + 1.001. Let n = 0.1 - 0.3. Let g = n + 0.4. What is the nearest to x in 0.3, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1347.3 - 1346.9. Which is smaller: 1979 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**3\/6 + 51*o**2. Let v(d) = -d**3 - 4. Give -4*f(c) + v(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b = 84*b + 261 - 958. Solve 18 = 3*u + 3*m, -m = -b*u + 14*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 62, 2, 0 in decreasing order.\nAnswer: 62, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9763757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71943982*w**2 - 293211464 with respect to w.\nAnswer: -143887964*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3505 = -779. List the prime factors of j.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3623819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 - -234. Let p = -54 + o. Does 42 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5201 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -290 - -512. Let j = 429 - p. Calculate the greatest common divisor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 5\/10 - (2 - -1))*-2. Let a(h) = -h**2 + h. Let w(g) = -6*g**2 + 4*g + 2. Let y = 82 - 86. Determine j*w(u) + y*a(u).\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -111*c + 107*c + 16, 6 = -3*c + 3*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*f**5 + 1281*f**2 + 109*f**3 + f**6 + 41*f**5 - 9*f**3 wrt f?\nAnswer: 120*f**3 + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 8. Let k be v(5). Let b = k + -11. Solve -3*d - d = b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9aa518 (base 13) to base 14.\nAnswer: 6b02c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.83 and -2.3.\nAnswer: -3.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3*0\/(-12). Suppose -3*n = 5*m - 35, -3*n + c*n = -4*m + 1. Suppose -n*t - f + 9 = 0, -16 = -3*f - f. What is the closest to -1\/4 in -4, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*3\/(-24))\/((12\/(-3))\/48).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*c + 2 - 68*c + c**3 + 33*c to the form d*c + j + m*c**3 + w*c**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94325 or 94319?\nAnswer: 94319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v - 4. List the prime factors of 24 - v - -1 - 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1761614970 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -255, -2024, -6831, -16194, -31631, -54660, -86799, -129566?\n\"Answer: -253*n**3 - n**2 + 5*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4241 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -5902*w**3\/3 + w**2 + 501*w - 5232. Find the second derivative of k(f) wrt f.\nAnswer: -11804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157*t**2 + 147358*t + 386312856 wrt t.\nAnswer: -314*t + 147358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -8. What is the smallest value in -3\/5, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 7. Let v = 43\/14 - 18\/7. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from vyeeeyyevfyfebvyyyve?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3900 = 4424. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - -4 - (7 - (-7 - -12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16557 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207 - 207 + 18*t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 31426?\nAnswer: 31422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 5 - 6) + (12 - 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*m = 2*m + 8, 5*m - 1 = 4*r. Suppose j + 4*j = 10. Suppose 1 = -5*a - 4. Sort r, j, a in ascending order.\nAnswer: a, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, x: 3, e: 5, i: 2, r: 5}. Give prob of picking 1 i, 1 s, and 2 e.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41400 divided by -978\nAnswer: -6900\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1 (b) 1.5 (c) 330\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 157*f + 1348. Calculate o(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 + 7*r. Let k(q) = q**2 + 2*q. Suppose 38*t - 31*t + 49 = 0. Determine t*k(y) + 2*v(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 42930?\nAnswer: 85860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -3 (c) -2\/127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l + 4*g, 88 = -3*l - 3*g + 64. Let d(n) = 83*n**2 - 15*n - 23. Let x(v) = -41*v**2 + 7*v + 11. Let w(r) = -2*d(r) - 5*x(r). Is w(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2983 is divided by 74.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -84, -196, -364, -594, -892?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(143) + sqrt(143)*3 - sqrt(143)) + -2*sqrt(143)*3)\/((-1*2*sqrt(121))\/(sqrt(88)\/sqrt(128))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(-z - 3*z + 0*z)*(4 - 2 + 2) as k*z + h and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 22*w**3 + w**2 + 11. What is the units digit of s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/15, -1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = -2*a + r, 10*r - 7*r = 6. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4\/5 - 54351*a**3 + 1630602*a**2\/5 - 3261252*a\/5 + 2174184\/5.\nAnswer: -3*(a - 2)**3*(a + 90591)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 9779*h**5\/60 - 127*h**4\/3 - h**3\/2 + 3*h**2 - 1756*h - 1. What is the second derivative of l(c) wrt c?\nAnswer: 19558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*s = -67*s - 172910. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 57, -6\/7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 5*w**2 - 5*w + 6. Let d be v(4). Let u(x) = 91*x + 18. Does 25 divide u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1 + 119*r + 98*r - 219*r. What is n(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qquuquuquuuuuquuuqu. Give prob of picking 1 u and 1 q.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46788, -93797, -140806, -187815, -234824, -281833?\n\"Answer: -47009*h + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -437?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98\/69 - 2\/23. Let 8\/9*r**2 + v*r**3 + 2\/9*r**5 + 0 + 2\/9*r + 8\/9*r**4 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 352?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14909.96ml?\nAnswer: 14.90996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*i - 6. Let h(v) = -v**3 + 2*v**2 + 3*v - 3. Give h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 206*c**2. Let f(q) = 54*q + 14. Let d(s) = -16*s - 4. Let n(r) = 7*d(r) + 2*f(r). Give y(n(o)).\nAnswer: 3296*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 591 = 3*s - 559, 3*s + 3*k = 12. Suppose -1\/3*g**4 + 4\/3*g**3 - g**2 + s*g + 0 = 0. Calculate g.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -40, -177, 30 in ascending order.\nAnswer: -177, -40, -1, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1008) + sqrt(1008) + (sqrt(308)*1)\/sqrt(11))\/(1*sqrt(4)*-4 + sqrt(4) - sqrt(100)*5).\nAnswer: -37*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -1\/12*u**4 + 0*u**3 - 1 + 5\/2*u**2 - 60*u. Calculate c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792*s**3 + 194*s**3 - 511*s**3 - 9*s**3.\nAnswer: -1118*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -29, -21, 3, 49, 123, 231, 379?\n\"Answer: o**3 - o**2 - 6*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 832.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + z - 3*z)*(5 - 1 - 2) + (-5 + 2 + 4)*(-z + 5*z - 3*z) - z + 3*z + 7*z + 10*z + 49*z + 47*z to d*z + m and give d.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from juiixx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*d - 2*t, 6*d - 2*t = 5*d + 4. Factor -2\/3 - 2\/3*v**d - 4\/3*v.\nAnswer: -2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/41, -2\/5, -7, 3 in descending order.\nAnswer: 3, -4\/41, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + c + 2 + 3*c**2 - 1 - 3*c**2 to m*c**2 + r*c**3 + s + d*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/(-4) - 3 - 1*(0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 - (6 + 4 + -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -94*p + 3096. Give a(33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -5\/2, 5, -6, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - a - 4*a)*(3*a - a + 0*a + 2*a - 2*a + 3*a + 2*a + 0*a - a - 1 + 1 - a + 1 - 1 + a + (2 - 1 + 0)*(-3*a + 0*a + 4*a) + 2*a + 5*a - 5*a).\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddwvdoodovdoovoo. Give prob of picking 1 v and 2 d.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Let n = s + -4. Let x(u) = -u**2 - 2*u + 1. Let g be x(1). Is g greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143021953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**5 + 36*h**4 - 116*h**3 + 172*h**2 - 120*h + 32.\nAnswer: -4*(h - 4)*(h - 2)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (7 - 20 - 10) + 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32341558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n + 7314 = 6985 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670 (base 8) in base 10?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:05 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.023\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**3 + 1 + 2593*f**2 - 2626*f**2 - 4 + 183*f**4 + f**3 + f wrt f?\nAnswer: 4392*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*s + p - 43, 0 = 4*s + 2*p - 62. Suppose 2*r - s = r. Suppose -3*d + 35 = r. What is the highest common divisor of d and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 10*i - 1. Let w be a(10). Let d be 30\/(-18) - w\/(-3). Let q be d\/32*1\/1. Is q equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 5*g - 27, 6*p + 5*g + 29 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 5*y**2 - 6*y + 18. Let f be x(4). Solve 8*v**3 - 12*v**2 + f*v**4 + 2*v**4 - 16*v**5 + 8*v**5 = 0.\nAnswer: -1, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-170) + 335\/(-85). Let a(n) = -n**3 + n**2 - n - 1. Let q(i) = 5*i**3 + 5*i**2 + 4*i + 4. What is c*a(t) - q(t)?\nAnswer: -t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(847) + -1 + (sqrt(847) - sqrt(847)*3)*-1)**2.\nAnswer: -396*sqrt(7) + 7659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2645 and 31.\nAnswer: -81995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010 - -11?\nAnswer: -1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 16. Let f(w) = -11*w**2. Calculate g(f(b)).\nAnswer: -22*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136666547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.37? (a) -3 (b) 2.2 (c) -0.06 (d) 0 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*q = -9, j + 19 = 9*q - 12*q for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -267*p + 259*p. Is 11 a factor of 917 - (10 + (-12 - (2 - p)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11985 (b) 1 (c) 23\/10 (d) 2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 83499.\nAnswer: -584493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 470074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -754553 divided by 83?\nAnswer: -9091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 10*s**2 - 36.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 844\/10 + (-2)\/5. Suppose -4*f + f = -w. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.053 and 0.31.\nAnswer: 0.01643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (-125 - 17 - 4) - 33\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 502996517 or 502996516?\nAnswer: 502996516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Let y(m) = 2*m + 5*m**2 - d*m**2 - 2*m. Let g(z) = z**2. Calculate g(y(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3516 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = h + 21, 26 = 4*s - 5*h for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*v + 185*v = 3*k + 2109, 5*v + 488 = -4*k + 266 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-13 + 14) - 11 - (2 + -2)) + -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 306\/68*(-2)\/(-3)*1. Suppose -j + 2*n - 7 + 12 = 0, -h = -5*j - n. Solve 7*t - 29 + j = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165171 bigger than 1165177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 - (-8 - -2) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 733 = -2*f, -8*f + 6*f = 5*l - 3617. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9758996 to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -394 + 488. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1160\/(-16))\/(-5))\/(((-3)\/(-2))\/(-3))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1055, 2111, 3167, 4223, 5279, 6335?\n\"Answer: 1056*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.5 times -0.5?\nAnswer: 8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52023 and 27?\nAnswer: 468207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (3 + -2))*(-1)\/(-9)*0. Solve 2*q - 223 + 215 = z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -3.8. Let x = 0.08 - 0.28. Let u = 0.1 - x. Which is the second smallest value? (a) 4 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 112, 138, 162?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 37\/5*l**5 + 0*l + 37 + 0*l**4 + 31\/2*l**2 + 0*l**3. Find the second derivative of c(v) wrt v.\nAnswer: 444*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 5*u = 8*u - 179, 4*u + 12 = b. What is the lowest common multiple of b and 7148?\nAnswer: 28592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360067 and 326.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/108 and -73\/23543226?\nAnswer: 141259356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -1*3\/6*-48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 + 8 = -3*x, 0 = 5*x + 4*a + 31. Let u(q) = 4*q + 2. Give u(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*b - 38, -6*b + b + 66 = -4*z. Let c = -2 - -11. What is the lowest common multiple of c and (-18)\/63 - 18\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Suppose -4*b - 12 = 5*m - 3*m, 3 = -3*m - 3*b. Let v(z) = m*z - 5*z + 3*z. Give k(v(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1476 - 1476.9. What is the fourth biggest value in b, 10, 4, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from rmmmmtmmwrgt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 6*k - 1. Let x be z(4). List the prime factors of 1*(x + -5 - -285).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 4. Let w(a) = a - 3. Let o(r) = -2*t(r) - 3*w(r). Let j = 309 - 309. Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (132 + -2)*1\/2 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*i**4*w**2 - 30713*i**2*w**3 + 73*w**3 + w**2 - 735*w + 2 wrt i?\nAnswer: -28*i**3*w**2 - 61426*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = 2*p - 125 + 127, 4*g + 32 = 0. Suppose 4*r = -2*q + 69 + 39, -4*q = r - 209. Calculate the remainder when q is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -13721?\nAnswer: 13676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1956\/30 + (-1)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383318 is divided by 856.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 0*l = 3*l - 1, 5*l - 8 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Suppose 36*g = 38*g - 148. Suppose -70*c - 80 = -g*c. Solve 6*h - p*h = c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7989.007898 - -7989. Round m to four dps.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:09 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 79 + 3 + -4 + (78 - -53 - 138)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 1043*z + 3*z**2 - 1043*z + 10*z**3.\nAnswer: 10*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/48)\/((-66)\/(-11)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 1 + 1)*(0*c + 0*c + 2*c)*(-1 + 4 - 5).\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) - (-6)\/10. Suppose 6*w - 2*m = 2*w - 2, w = 3*m - 3. What is the closest to d in 1, w, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - ((-52 - -51) + -60)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139587\/286 or 488?\nAnswer: 139587\/286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*p - 130716509 + 130716509.\nAnswer: -218*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 324 or 25702\/79?\nAnswer: 25702\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/7)*a)\/(a\/((a*(a*a\/(a*a**1\/a))\/a)\/a))*(a\/a**23)\/(a**3\/a))**(1\/36) assuming a is positive.\nAnswer: a**(-41\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*q**4 + 3*q**3 - 1181410*q**2 - 898627124*q wrt q?\nAnswer: -504*q**2 + 18*q - 2362820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let g be 2\/w + 4\/6. Put 4, g, 0.5 in decreasing order.\nAnswer: 4, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*r**5 - 5*r**4 + 346*r**2?\nAnswer: -600*r**2 - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130.8 + -130.7. Suppose 0 = -r + 3*x - 14, -3*x = 3*r - 5*r - 13. What is the closest to r in 12, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -983*d - 17. Let t(i) = 2*i**2 - 3*i - 1. Let r be t(-2). Let z be y(r). Let n = z - -42796. Round n to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 1 - 2)*(-2 - 2*o**4 + 2) to the form t*o + v*o**4 + y + u*o**2 + n*o**3 and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -64a97 (base 12) to base 14\nAnswer: -365d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, q: 1, p: 1, a: 2, g: 1, o: 8}. What is prob of picking 1 p and 1 o?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2893264, 2893108, 2892952, 2892796?\nAnswer: 2892640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sctstttbbttt. What is prob of sequence bbtc?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + 0 - (42 + 91 - 56 - 38).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -93 divided by 4\nAnswer: -93\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111001011 (base 2) in base 12?\nAnswer: -11a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456466909 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915708998 a multiple of 753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -10 - -4 - -4 - 40*-6.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3656 and 7064.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920620 is divided by 166?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34543, 34573, 34613, 34663, 34723, 34793, 34873?\n\"Answer: 5*o**2 + 15*o + 34523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8053, -17918, -27783, -37648, -47513?\nAnswer: -57378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g - 81*g + 30*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 1, a: 1, s: 1, r: 2, t: 1}. What is prob of sequence ako?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**4 - 12*y**3 + 26*y**2 - 24*y + 9. Let s(c) = -14*c**4 + 35*c**3 - 77*c**2 + 72*c - 27. Let i(t) = 11*p(t) + 4*s(t). Factor i(h).\nAnswer: -(h - 3)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 1\/9*i**2 - 638\/9 - 317\/9*i = 0?\nAnswer: -2, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 4*d**3 - d**5 + (11*d**5 - 2 + 2)*(-1 - 4 + 4) + 22*d**5 - 18070*d + 18069*d - 185*d**5.\nAnswer: -175*d**5 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 3 (c) -5\/6 (d) 4 (e) -56 (f) 274\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(42\/(-16))\/(-3)*45\/(7245\/(-2093))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973701559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.247\nAnswer: -0.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6)*(102\/595)\/(21\/(-35)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 + -6*(-1)\/(-2). Find s, given that o*s - 7*s - 2*s**3 + 2*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 5:51 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/6)\/((g\/(g**10\/g))\/g))\/(g*g**(-6)*g**(1\/5)*g))**(-2\/77))**48 assuming g is positive.\nAnswer: g**(-6064\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 9*s = 4. Suppose 198 = 4*m - s*b, -5*b + b = 5*m - 254. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562 minus 0.3?\nAnswer: 7561.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 236582051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) 0.3 (c) 3\/2 (d) 78\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-4))\/(((((u\/(u\/((u\/(u*u*u**(-1\/16)*u)*u*u)\/u)))\/u)\/u)\/u*u)\/u)*(u*u**17\/u*u*u)\/u**2)**(-2\/123) assuming u is positive.\nAnswer: u**(-415\/984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:30 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = 2. Let j be m\/(3\/(-18)*2). What are the prime factors of 18 + 1 - j\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 y when four letters picked without replacement from ygyyyygyygy.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 82 + 1 - (48\/(-36))\/(24\/18). Solve 0 = -59*a + d*a + 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1385*m + 1961 - 33*m - 780*m wrt m.\nAnswer: -2198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277036456 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 -1, 0.77, -2?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Suppose -5*j = 0, t = -0*j + b*j + 2. Suppose t*q = 3*c + 62, -2*c - 94 = -5*q + 50. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 1*(-2 - -5). Suppose -7*h + 11*h - 104 = u. Let t = 161 + 47. What is the highest common divisor of h and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2134 = -v + 3*g, 2*v + g = 3554 + 672. What is the greatest common divisor of 12 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 102. Solve t*c = 4*c - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 1618721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4064035 (base 7) to base 14.\nAnswer: -c938c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3525, -3547, -3509, -3411, -3253, -3035?\nAnswer: -2757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(14\/(-1)))\/(((-494)\/1404*-45)\/(-5)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3 = 3*a, -4*x - 3*a + 59 = 0. Let g = 0 + x. Differentiate 4 - g*k**2 + 8*k**2 - 23 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80340 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 = -2*x + 2*r, -5*x + 4*r = -41. Is 7 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(75) + 1)**2 + sqrt(3) + 5*(sqrt(3) + 1) + 3 + ((sqrt(210) - 1*sqrt(210))\/sqrt(10))\/sqrt(7).\nAnswer: 16*sqrt(3) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1054 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -3\/10, -4, -1.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 243*w + 19. Calculate the lowest common multiple of 52 and m(121).\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 832.\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (295\/(-118))\/(1\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/4*104\/27. Let q = s + 121\/45. Is -0.2 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82\/9*i + 728\/9 + 2\/9*i**2.\nAnswer: 2*(i + 13)*(i + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 149*v**7\/7 - 6*v**3 + 9*v**2 + 9*v + 11. Find the second derivative of p(t) wrt t.\nAnswer: 17880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r**4 + 426*r**3 - 154*r**2 - 242*r - 48 = 0.\nAnswer: -24, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 34*j + 193. Let o be l(27). Solve -o*c = -c - 12, -3*c = -3*y - 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + x**2 - 10*x - 18. What is z(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-3)\/(65\/(-13))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(10\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*b + 2187 + 343, 4*v + 2545 = -3*b. Are -5 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40228*h = 4*o - 40224*h, 5*o = 7*h - 24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30780*r + 37650*r + 44511*r.\nAnswer: 51381*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183601428.99999876 - 183601378. Let v = 51 - i. Round v to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 15 + 4)*(2*h + h**2 + 2*h**3 - 2*h + (-h + 28 - 28)*(1 - 1 + h**2) - 3*h**3 + 0*h**3 + 0*h**3).\nAnswer: -112*h**3 + 56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43681)\/(-242) - 181)\/(1\/38).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 256*s*u**2 + 124*u**2 wrt s?\nAnswer: 256*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3044061313 + -1?\nAnswer: 3044061312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6725*p**2 - 3363*p**2 - 3359*p**2 - 50*p)*(p**2 + 3*p - 3*p).\nAnswer: 3*p**4 - 50*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:48 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -4*m**7\/21 - 2*m**4\/3 - 19*m - 16. Let s(x) be the first derivative of f(x). What is the third derivative of s(p) wrt p?\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + 3*c**3)*(-c + 3 - 3)*(43 - 19 - 14)*(4 - 4 - 2*c).\nAnswer: 60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 739284242 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 3, j: 4, k: 4, s: 1, w: 1}. What is prob of picking 1 b, 1 w, and 1 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in 16, -304, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 77. What is the derivative of 46*y - 31*y - 5 - 22 - d wrt y?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2398906 is divided by 5320.\nAnswer: 4906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o - 2*o**2)*(5*o**2 - 5*o**2 + 2*o**3) + 7*o**5 - 4*o**5 + 4*o**5.\nAnswer: 3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 5*m + 29, 13*v = 8*v + 2*m - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 38627\nAnswer: 34\/38627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e2 (base 15) in base 10?\nAnswer: -887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*w = -g + 12, 12 = 5*g + w. Let x(j) = -1 + 3*j**g - 3*j**3 + 3*j**3. Let m be x(1). Solve 0 = 5*q - 22 + m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221 + -217 + 2 + -30.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -262810000 to the nearest 1000000.\nAnswer: -263000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21745 is divided by 166.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53b + -5a?\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n + 2. Let r(k) be the second derivative of k**3\/6 + k**2 - 101*k - 15. Determine y(r(g)).\nAnswer: -15*g - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 1. Let h be c(-3). Suppose 3*w = h + 4. Suppose -w = 4*b - 18. Solve -b*p + 5*v - 2 = 0, 0*v + v = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.0242 + 0.0322. Let l = b + 14. What is l rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1.2 (b) -109 (c) -5 (d) -4 (e) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/(-6))\/(2\/152)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.02 - 2.22. What is the nearest to -7 in 3\/8, b, 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 976*r**2 - 4*r + 976.\nAnswer: 4*(r - 244)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1605137591607 - 5*x - 1605137591607.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 1. Let u(s) = -4*s**2 - 18*s - 2. Calculate 2*r(v) - u(v).\nAnswer: 2*v**2 + 18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0*y + 2\/3*y**3 + 0 - 5*y**2 - 1\/15*y**5 + 0*y**4. Let f(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 595337 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 17*h + 9. Let w be o(-2). Let p = w + 68\/3. Which is the smallest value? (a) p (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 16.3. Let g = -5 + 6.3. Let x = g - h. Sort -0.1, -3, x in increasing order.\nAnswer: -3, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**3 - 606*l**2 + 15*l - 14. Let h(z) = -10*z**3 - 606*z**2 + 18*z - 16. Give 7*h(r) - 8*p(r).\nAnswer: 2*r**3 + 606*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**5 + 1620*j**4 + 12275*j**3 - 118620*j**2 - 1039360*j - 910080 = 0.\nAnswer: -316, -8, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 18. Suppose -3*s - f = -57. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17073401 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/20 - 3*h**4\/4 - h**3\/6 - 4*h**2 + 3*h. Give y(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30351 (base 8) in base 7?\nAnswer: 51335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 = 5*q, -112*q + 115*q - 32 = 5*j. Let n = 0.253 + -113.253. Which is the second smallest value? (a) q (b) -1\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(147)*1.\nAnswer: -4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2484 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1292, 1442, 1592, 1742, 1892?\n\"Answer: 150*s + 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 20*z - 264. What is u(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 1746, 3900, 6914, 10794, 15546, 21176?\nAnswer: 27690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1967 is divided by 104.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58633098 and 107494013.\nAnswer: 644964078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1462 rounded to 2 dps?\nAnswer: 4.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424 divided by -4?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14020)\/(-280) + (-3)\/42. Suppose 0 = -21*y + 31*y - l. Solve 0 = -y*s + 5*c + 3 - 18, -4*s = -5*c + 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**2 + 36*c + 35. Let j be a(8). Solve 0 = 3*r + j*y - 10 - 2, y = 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97 + 2*s + 35 - 966514*s**2 + 966514*s**2 - 2264*s**3 wrt s.\nAnswer: -13584*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14*m**2 - 18*m - 24. Let f(c) = -4*c**2 + 6*c + 8. Determine 3*a(s) + 10*f(s).\nAnswer: 2*s**2 + 6*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/3 + 2\/(-3). Let s = 58 + -58. Suppose 3*p - 16 = -4*g, 3*g - 11 - u = s. Are p and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(14*n + 10*n - 11*n)*(-3*n - 6*n + 0*n)*(-2*n**2 + 4 - 4)*(1 + n - 1).\nAnswer: 468*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z - 2*z - 11*z + (-2 + 0 + 1)*(-2*z + 0*z + z) + 3*z - 473 - 12*z + 468.\nAnswer: -31*z - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -753693043617.7 less than -1?\nAnswer: 753693043616.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -27*r + 1. Let n be a(-5). Let f = n - 8. Calculate the highest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2315 - 1.592244037?\nAnswer: -1.823744037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oioo when four letters picked without replacement from iiooooooooiiooio.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6524 - 19571\/3. Which is the biggest value? (a) -0.5 (b) -4 (c) 40 (d) r (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-6 - 3))*1. Suppose 31 = 4*k + c. Calculate the remainder when 9 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 4*z**2 + 2*z + 3. Let c(l) = -3*l**3 + 11*l**2 + 7*l + 9. Let o(a) = 8*b(a) - 3*c(a). Factor o(f).\nAnswer: (f - 3)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 9 + 5)*(3 - 1 + 0)*(2*d - 4*d + d) in the form b*d + a and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 5:54 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565972916.\nAnswer: 2, 13, 661, 74653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -378 + 533. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 - 4*b**2 + 4*b - 13. Let h(c) = c**3 - 2*c**2 + c - 4. Let q(p) = 7*h(p) - 2*v(p). What is q(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2051 divide 3584849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 9:14 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26591 + 37959. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.39879 and 58543.46.\nAnswer: 58545.85879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -5*r. Let o(u) = 5*u - 3. Let a be o(r). Let f(w) = w - 1. Let k(m) = -5*m + 2. What is a*f(z) - k(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 246?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631 = 6*q + 1747. Let y = q - -187. Solve x - 18 = -3*l, 2 = x - y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22288537 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 34 = 4*q + 4*o, q + o = -10. Let a be q\/((-6 + 3)\/6). List the prime factors of a*-3*(-4)\/14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 2710182.\nAnswer: 16261092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -416598, -416572, -416520, -416436, -416314, -416148, -415932, -415660?\n\"Answer: x**3 + 7*x**2 - 2*x - 416604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w**2\/11 - 67008*w\/11 - 187086336\/11.\nAnswer: -6*(w + 5584)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96578 not equal to 96584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i = 178 + 352 - 50 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3293)\/2 - 6)*60\/(-75). Suppose 2*k = -2*k + 348. Let q = k + f. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*h - 9123 = 3337, -3*h - 3 = 0. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271 + -8945\/33. Let h = m - 19\/231. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1309 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23051, -92577, -208461, -370709, -579327?\n\"Answer: -t**3 - 23173*t**2 + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36519 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 274163127 divided by -13055387\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/7808 and 131\/2095104.\nAnswer: 127801344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w - 1. Let l be f(2). Let k(a) = 0*a + 3 - a - 9. Let c be k(-6). Put 1, c, l in decreasing order.\nAnswer: l, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -168*d**2 + d - 1. Let t(l) = -l**2 - 2. Determine -j(n) + t(n).\nAnswer: 167*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 20 = 3*u. Let d = -1 + u. Suppose -20 - 15 = -8*p + 5. Solve p*n - 30 = -4*w, 0 = -n - 1 + d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.98703 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39633\/5 - 7927. Which is the closest to 0.1? (a) -77 (b) l (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/6 and 4\/(-10) + 4779\/1485.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0 - 4 + 4*v**3 + 2*v**3 - 2*v**3 + v**3 + (3*v**2 + 0*v + 0*v)*(-4*v + 2*v + 3*v).\nAnswer: 8*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o**2 + 29*o**2 + o + 2*o.\nAnswer: -3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11251\/3 - -3750. Let g be (8\/10)\/(1\/(-5)). Put g, -3\/4, y, 3\/2 in decreasing order.\nAnswer: 3\/2, y, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**2. Let s(f) = -136*f. Calculate y(s(h)).\nAnswer: 166464*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and 229072 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2310?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. Suppose 5*i - 202 = -2*b, i = d*b + 2*b + 36. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 2, l: 2, x: 1}. What is prob of sequence rx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 + 2*s**2 - 71*s - 24. Is 22 a factor of y(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 439 + -693. Let a = s - -249. What is the biggest value in a, -4\/9, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1916.3423 + -0.8577. Round i to the nearest ten.\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*d - 5, 0 = 3*d - 5*d - 2*r + 6. Suppose d*y - 15 = -0*y. Which is greater: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 6*a**2 - a - 6. Suppose 4*f = -2*g - 4, -2*g - 3*f - 2*f = 2. What is n(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*j**2 + 9*j**2 - 78*j**2 - 38*j**2 - 9 - 2*j - 74*j**2 as o*j**2 + z*j + d and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34117 + 69?\nAnswer: 34184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-70 + 62 - (2 - 0)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -480*g. Let n(x) = 2*x**2. Calculate n(u(w)).\nAnswer: 460800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + (-32)\/5. Let y = k - -9. Put y, 1, 4 in ascending order.\nAnswer: 1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -30. What is the second derivative of 14*r**5 + r + t*r - r**5 wrt r?\nAnswer: 260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 0*l - 2*l)*(-2 - 2*l + 2) + 57 - 25*l**2 - 57 + l**2 + 0*l + 0*l + 21*l - 21*l + 8*l**2 as z*l + u*l**2 + t and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:41 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3 + 8*h**2 - 10*h + 0*h + h**2 - 38*h**3 + 39*h**3. Suppose 0 = -f - 3*f - 40. Let q be t(f). Put -3, 2, q in decreasing order.\nAnswer: q, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -78221, -312888, -704005, -1251572, -1955589?\n\"Answer: -78225*l**2 + 8*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2213\/540 + 139\/27. Calculate the common denominator of w and -47\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29564 and 11826?\nAnswer: 174811932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 2*y - 16, -l + 2 + 26 = -5*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 6726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5521500470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(10\/3)*c*c*((c*c*c\/(c\/(c**21\/c)))\/c)\/c)\/(c**19)**48 assuming c is positive.\nAnswer: c**(-2657\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11155 = -746*j + 1854 - 2125 - 12446 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -183 times -8\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -31\/2*c**6 + 0*c**5 + 47\/3*c**3 + 0*c**2 + 1\/7*c**7 + 0*c**4 + 0*c + 6. Find the third derivative of b(i) wrt i.\nAnswer: 120*i**3 - 5580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7131.103 millimeters in micrometers?\nAnswer: 7131103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {v: 3, r: 1, m: 6, s: 2, u: 4, p: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4314 + 4316 - 116*a**3 + 5*a + 2*a - 7*a as m*a**3 + y*a + p*a**2 + n and give m.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 4*h**2 - 11*h - 2 + 8*h + 7. Let t(p) = 5*p**2 - 3*p + 4. What is 4*i(l) - 5*t(l)?\nAnswer: -l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - 4*x)*(-20*x - 31*x + 16*x).\nAnswer: 70*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1))\/w**(-1)*(w*w*w\/(w*w\/(w**(-1\/3)*w)))**(1\/11) assuming w is positive.\nAnswer: w**(38\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 3. Let i = 84 - 92. Let v be (-6)\/i + (-2)\/4. Which is the nearest to 0.1? (a) v (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2614\/5143?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/31452 and 151\/7464.\nAnswer: 19563144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38830 is divided by 639.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4012651 is divided by 1337481?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {d: 6, n: 2, p: 1, f: 4}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1038155, -1038158, -1038161, -1038164, -1038167?\n\"Answer: -3*o - 1038152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512\/3*w**3 + 46\/3*w + 4\/3 - 88*w**4 - 298\/3*w**2 = 0. What is w?\nAnswer: -2\/33, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865414.\nAnswer: 2, 11, 139, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*n - 0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.3, -1\/48, -0.077, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274008 is divided by 18080?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*6\/(-9))\/(38\/57).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 184, 1522, 5154, 12226, 23884, 41274, 65542, 97834?\n\"Answer: 191*r**3 + r**2 - 2*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.08548 to 1 decimal place.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 86 = 94 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/16871364 and -59\/6.\nAnswer: 16871364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 13. Let n be y(7). Calculate the greatest common divisor of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 + 0*u - 1 - 2*u - u**4 + 2*u**2 + 18*u - 4*u - 4*u**2 to o*u**2 + w*u**3 + n + g*u**4 + i*u and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024*n + 5 - 1027*n - 4 + 4.\nAnswer: -3*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20557883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -494, -476, -434, -356, -230, -44?\n\"Answer: 2*v**3 + 4*v - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -27*f. Let q(w) = -11*w. Let s(n) = 10*q(n) - 4*y(n). Let j(h) = -2140*h. Determine s(j(v)).\nAnswer: 4280*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huuuuwwuuwuwu. What is prob of picking 1 h and 3 u?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -15\/5438852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**4\/4 + 5*p**3\/6 + 2*p**2. Differentiate j(m) with respect to m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 3 + 6 + p + p**2 + 0. Let x be (-3)\/(-2)*12\/(-9). Determine h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -4 + 0 - (87\/(-58) + (-82)\/4)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from kkrrkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*x**2 - 32*x + 32*x as h*x + r + y*x**2 and give y.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47d7ac (base 14) to base 4.\nAnswer: -21113330330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by -2.\nAnswer: 185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 1560.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7074270 by -5.\nAnswer: 1414854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 30*w - 101. Let j be q(4). Suppose -5*u = -4*u + 4. Sort u, 1, j.\nAnswer: u, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 864\/5 + 10\/50. Suppose -377 - v = f. What is f rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 2952842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-4) - 3\/6. Let g(l) = l**3 + 5*l**2 + 5*l + 4. Let c be g(k). Solve c*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 11 - (1 - 5)) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -13210001301?\nAnswer: 13210001231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*i + 231 - 1357618 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -1 (b) -1\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/212313717 and -17\/90.\nAnswer: 2123137170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1044566 to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -233*u**4\/12 + 20*u**3\/3 - 2*u + 135. Find the second derivative of s(r) wrt r.\nAnswer: -466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 1, g: 1}. What is prob of picking 1 i and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (sqrt(1539)*-1*-1 - sqrt(1539)) + -1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = w. Let j = 66 + -64. Suppose 40 = 5*l - 5*r, -7*l + j*l = -3*r - 30. Solve w*k = -3*o + 13, 0*k - o = -l*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68\/5474*69*((-42)\/12)\/(3\/(-28))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - ((-7)\/(-3))\/1)*162\/108?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)\/((j*j*j**(-4)*j)\/j)*(j**(-13))**(7\/5) assuming j is positive.\nAnswer: j**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 3\/5, 2, -9\/7.\nAnswer: -6, -4, -9\/7, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)**(-36) assuming i is positive.\nAnswer: i**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 683941.3m in millimeters?\nAnswer: 683941300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 4*m**2 - 2*m - 2. Determine z(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 9554a?\nAnswer: -95558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3136 and 1988.\nAnswer: 222656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**29\/q)\/q**15*(q\/(q*q**(-49)*q))\/((q\/q**(-21))\/q) assuming q is positive.\nAnswer: q**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -12. Suppose -6 = -2*d - 2*w + 4, 2*d - 3*w + q = 0. Factor 2\/5*v**2 + d + 0*v - 2\/5*v**3.\nAnswer: -2*v**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 1.8. Which is the nearest to -0.2? (a) t (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 20717986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 450713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-13) + 623\/91. Suppose -c + d = 4. Suppose -c*o - 5*i = -373, 4*i - 196 = -3*o + 172. What is the remainder when o is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57.5 + -60. Which is the nearest to 0? (a) 5 (b) r (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1215 (base 16) to base 4\nAnswer: -1020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5964\/224 + -26)\/((125\/20)\/(-5)*1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-5) - -2) + 56 + 2870\/(-50).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5330797 or 5330793?\nAnswer: 5330793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 123*d + 3276 = 66*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 37. Let n(r) = -3*r + 61. Let h(b) = -10*a(b) - 6*n(b). Let p(g) = g - 5. Determine -5*h(f) - 4*p(f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/7 - 3*r\/7 - 2\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*o + 0*o = -14, -2*c - o = -1. Let w be -15*(5\/5)\/c. Suppose -w = -6*b + b. Solve b = -v - 0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.60142696 + 0.03897404. Let u = s + -5.64. What is u rounded to five dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8.6. Let y = -0.5 + p. Is y greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 + 437 = k. Let z be 6\/(12 + 0)*k\/(-3). Solve m = -4, 22 = 2*y - z*m - m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -96, -1\/37, 35, -1\/2, -5, -4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*d**2 + 6*d**2 + 62*d**2.\nAnswer: 97*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 14345422?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -6, -59*m = -63*m + 2*y + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = -949*d + 972*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -153, -429, -815, -1305?\nAnswer: -1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36706540 (base 8) to base 12.\nAnswer: 2865a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*s - 163090 - 62100 = -3488*s for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7831*o**3 - 7878*o**3 + 15698*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-14\/5))\/s)\/(s**(2\/13)*s))\/(s**6)**45)**(-18) assuming s is positive.\nAnswer: s**(313974\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621 = 88*k + 1941 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let s(o) be the second derivative of -5*o**4\/24 - 15*o**2\/2 - 14*o. Let m(v) be the first derivative of s(v). What is h(m(u))?\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4911330 and 744.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -61, 3 in ascending order.\nAnswer: -61, -36, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = -13*s + 296. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 804\/(-2345)*(-420)\/(-160)*-30.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000830312 rounded to six dps?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.2, 33, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1759 rounded to the nearest 10?\nAnswer: -1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 - x + x + 2*x**4 - 2*x**4 + 2*x**4 - 6*x**4 - 4*x**4 + 6*x**4 + (4*x - 4*x + x**3)*(7*x - 3*x - x))*(5 + 0 - 4)*(1 + 0 - 3).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ollo when four letters picked without replacement from olloo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -34477, 1 in descending order.\nAnswer: 3, 1, -34477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2561 divided by 1.\nAnswer: -2561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 8*u. Let w be m(6). Let h = -13 - -24. Let i = -5 + h. Calculate the greatest common factor of w and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-o**2 + o**2 + 2*o**3) - 4*o**3 + 4*o**3 + 2*o**3 - 1841*o**3 + 201*o**3 - 817*o**3.\nAnswer: -2453*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(6\/17)*u**13*(u\/u**1)**(8\/13) assuming u is positive.\nAnswer: u**(227\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38918 divided by -6?\nAnswer: -19459\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296 and 7844.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -32*v - 92. What is the units digit of i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9865, 32, -0.3?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171 + 541. Let j = -268 + x. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 228606051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 14. Let y = -7 + j. Put 5, 0, y in descending order.\nAnswer: 5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1648783 and 13\/5.\nAnswer: 8243915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 + q**2 - q - 1. Let g be l(2). Let x(v) = 19*v**2 - g*v**2 - 26*v**2. Let a(y) = -y. What is x(a(o))?\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f. Let x(o) = -38*o + 492. Let y be x(13). Sort -3, y, f in ascending order.\nAnswer: -3, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12606 (base 7) in base 14?\nAnswer: 133d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -4*d**2 + 0 + 0*d**3 + 0*d + 0*d**5 + 1\/24*d**8 + 0*d**6 - 7\/6*d**4 + 0*d**7. Find the second derivative of q(x) wrt x.\nAnswer: 280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + 2*r. Let z(n) = 13*n**2 + 7*n. Suppose -6*h + 5 + 19 = 0. Let d = -28 + 14. Calculate d*g(t) + h*z(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/3*66\/32. Let c(f) be the first derivative of 0*f - 3 - d*f**2 - 6*f**3. Find the second derivative of c(m) wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b - b + b - 2. Let h = 6 - 8. What is the units digit of q(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 - y**2 - 3*y + 3. Let n = 29 - 28. Let w be m(n). Solve -5*j - 3*z - 34 = 0, -j + w*z + 6 - 2 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 4*j**2 - 2*j - 4. Let b be v(3). Let g = 2 + b. Let r be -2 + g + 3*2. What is the highest common factor of 20 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 86*m + 93 + 150 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8235 = 12*y - 182*y + 945. Solve 15 = y*i - 59*i, -5*n + i + 38 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5034, -10066, -15098, -20130, -25162?\n\"Answer: -5032*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*r, 2*x = 2*r + 44 - 14. Is 2\/x - (-22156)\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1595215 = -14356936\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 3*x + 44 = 0, 4*x + 133 - 97 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -294974\nAnswer: 5014558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(7) - sqrt(63)) + -3 + -5 - (-1 + 4*sqrt(63) + 1))**2.\nAnswer: 336*sqrt(7) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-12))\/((-1)\/(-12)). Let y be f\/((-3)\/(0 + 3)). Let n(p) = p**2 - p - 2. Does 6 divide n(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -6) + 4 + -9 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-6)\/30)\/((-16)\/10).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2188\/45 and 50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7812 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31368 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/88 and 73\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 1292*w**2 - 2572*w - 1284.\nAnswer: -4*(w + 1)**2*(w + 321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**6 + 9*h**3 + 195*h**2 wrt h.\nAnswer: -480*h**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -128. Let h = -56 - a. Suppose -2*i + h = i. Calculate the greatest common divisor of i and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 22*l**5\/15 + l**4\/12 - 5*l**3\/6 + 15*l**2. Is n(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.1 - 1.9. Let n = 2081\/4 + -520. Is o < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*f - 69, 1 = -0*f - f. Let p = 0 - u. What is p rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.5007 to the nearest integer.\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t**(-3)\/t*t)*t*t**3)\/(t**0)**(-22) assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*o - 2262 = 57*o. Solve 8*u - o = -134 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 61*a - 881. Is q(-66) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835017 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: Solve -3463 = 249*b + 3758 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 + 14*h - 3. Let v be w(3). Let b be (11\/v + -4)*(0 + -3). Which is bigger: b or 6\/61?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-1) - (-12 - 85) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 718 and 8808783?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m = 38. Let l = m - 42. Does 2 divide (-3)\/2 + (15\/6 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3 + 43755*k**2 - 306218*k - 787464 = 0.\nAnswer: -2, 9, 43748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11240173.\nAnswer: 7, 1605739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/720 and -71\/14807880.\nAnswer: 29615760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -8. Suppose 4*o = 4, 5*o = 3*h - n - 7. Suppose h*l - 109 - 19 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (4 - 19) + (-75 - -109).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 26*k**3 - 4*k**2 + 3*k - 4. Let h(q) = -25*q**3 + 5*q**2 - 4*q + 5. Suppose -4*o + 5 = -3*b, 3 = 4*o - 17. Calculate b*a(s) + 4*h(s).\nAnswer: 30*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2790 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7372399, 14744804, 22117209, 29489614?\n\"Answer: 7372405*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.046 and -18.\nAnswer: 0.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1558*u**2 - 700*u**2 + 511*u**2.\nAnswer: -1747*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a + 14*a - 9*a - 147528 = 0. Is 43 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 656 and 333906296.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -2\/3435 (b) 3 (c) 3\/4 (d) 4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46827451?\nAnswer: 11, 4257041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175*i**4 - i**2 + 3272*i?\nAnswer: 4200*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8367\/2 + 635829\/152. Find the common denominator of b and 99\/76.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*v = -o + 692, -5*v = -2*o + 652. Suppose -3*c = -327 - o. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 + 15 = 5*s, 4*s = 3*t - 28. Suppose -t*l = -17*l + 1665. What are the prime factors of l?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upppppvpaprpuptaap. Give prob of picking 1 u, 1 v, and 2 a.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12\/9)\/(4\/6)*5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/8)*x)**(-1)\/(x**7)**5 assuming x is positive.\nAnswer: x**(-295\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, m: 7, v: 1}. What is prob of sequence gggv?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6928123.1 to the nearest ten thousand.\nAnswer: 6930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779.645 decades in centuries?\nAnswer: 277.9645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 3*n**2 - 6*n - 20. Give d(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5))**(-21\/5)\/(l**(-6)\/l*l**(-3\/2)) assuming l is positive.\nAnswer: l**(253\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142201 + 0?\nAnswer: -142201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 204 + -138. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:41 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - -1031121?\nAnswer: 1031311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + (-126)\/(-6) + -28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 815199*x**3 + 1611*x**2 + 3053.\nAnswer: 4891194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -922, -919, -918, -919?\n\"Answer: -a**2 + 6*a - 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11590000 to the nearest one hundred thousand.\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uueurrjrerreururouu. Give prob of picking 1 u, 1 r, 1 j, and 1 e.\nAnswer: 49\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 12. Suppose 2*x = b - 5. Calculate the smallest common multiple of 18 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167305 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27532 and 352.\nAnswer: 2422816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -100?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5134263.2 to the nearest ten thousand.\nAnswer: 5130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222737?\nAnswer: 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.092 + -0.392. Let c = 1.7 - z. Let g = c - -12. Sort g, 2, 0.5 in increasing order.\nAnswer: g, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187876661*f**4*w - 2*f*w + 10*w - 5219187 wrt f.\nAnswer: 2254519932*f**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -107*r**2 - 3*r - 1. Calculate w(-1).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(5*(-10)\/(-25)). Suppose 0 = 2*y + 2*y - 8. Suppose -y*p = -4*p - k - 2, 0 = -2*k - 4. Solve -3 = t, 2*q + t + 5 + p = d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (6*2*sqrt(252) - -1*(sqrt(252) + 2 + sqrt(252)) - (sqrt(252)*1*-4 + -2)))**2.\nAnswer: 1080*sqrt(7) + 81673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g + 4*g - g + 4*g. Let d(q) = 26*q**2. What is d(c(l))?\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 + 2254*o**3 - 6732*o**2 + 4480*o = 0. What is o?\nAnswer: -35, 0, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-146)\/(-2) + -3. Suppose 0 = 2*f - 6*f + z. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 2\/9 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799820 is divided by 114249?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*o + w - 41, 2*w + 29 = 3*o. Let n = o - 9. Calculate the least common multiple of 10 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 18432?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {w: 7, x: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:27 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64310 - 1?\nAnswer: 64306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) - (5\/10 + -4). Suppose -u*f + 2*j + 27 = 0, f + 2*f - 33 = 4*j. Solve -f*l + 3*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m - 2. Suppose -14 - m = -2*l. Find the first derivative of g + 8 + 5*g - l*g wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-297) + (-2)\/(-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w + 4*j, -4*w + 5*j = -3 - 1. Let z be 14 - 11 - (w\/(-1) + 0). Sort 2, -1, z, 0 in decreasing order.\nAnswer: z, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 2*w + 2*w + 2*w**2. Let z(l) = l**2 + l**2 + 2*l**2. Calculate f(z(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 543528320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23231213 - 222100?\nAnswer: -30113313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = -4*s, 4*z + s + 11 = 24. Let a(k) = 0 - 6*k - 1 - z*k**2 + 2*k**2. Let b = -104 + 100. Give a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaba when four letters picked without replacement from aabaaaabaaaa?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 5, i: 6, s: 3, b: 5}. Give prob of picking 3 c and 1 p.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -974 - -973.5. Which is the closest to -2? (a) 53 (b) 1 (c) z (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n**(-3\/5))\/(n**6*n**3)*(n**(-4)*n**(-2\/9)\/n)**(30\/7) assuming n is positive.\nAnswer: n**(-3253\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = -3*i - y, -5*y + 357 + 52 = 4*i. Let c be (40\/(-16))\/(1\/(-2)). Suppose c*v = 178 - 13. What is the remainder when i is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3002.7 to the nearest 10.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8494, -16984, -25474, -33964, -42454?\nAnswer: -50944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2. Let c(d) = d**2 + 5. Let j(t) = -t**2 - 6. Let m(n) = 6*c(n) + 5*j(n). Give y(m(g)).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3366 - 4773?\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 9364515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/75 + 98\/75. Let r(x) be the first derivative of 1\/2*x**2 - a*x**3 + 5 + 0*x. What is the second derivative of r(l) wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-5)\/6) + -3. Suppose -3*f + l = -f - 221, -v*f + 314 = -5*l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + (-147101)\/((-153)\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Suppose 4*t + y*u + 15 = 5*u, u = -4*t + 5. Let j = -1\/2 - -1\/14. Which is the nearest to 1\/2? (a) t (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42990012 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000068 rounded to six decimal places?\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -3. Let a be (3 + -1)*(-111)\/v. Let g = a - -24. Is -1 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1735 - -1760. Let j be (-172)\/(-14) + 2\/(-7). Calculate the remainder when 2\/6 + 872\/j is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89709 = -4*p - 0*m - 5*m, 15 = -5*m. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.124 - 4.976. Let b = w + 5.065. Round b to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806260978.\nAnswer: 2, 403130489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 8 + 5 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7040)\/77)\/(-10) - 10)\/(11\/308).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3437671 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)*q\/(q*q\/(q*q*q**(-8)\/q*q)))**(-50)*(q**4*q)\/(q\/(q\/((q\/(q*q**(-3\/4)))\/q))*q)*(q**(2\/7))**33 assuming q is positive.\nAnswer: q**(11233\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26320200 + -102?\nAnswer: -26320302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 30*i**2 - 43*i + 114. Let x be u(3). Are x and -0.03 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 157, 135, 105, 73, 45?\n\"Answer: o**3 - 10*o**2 + o + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 8*k**2 + 12*k - 13. What is b(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-12) - 167\/(-3). Suppose 2*v - 5*x = 29, 0*x - 4*x = 2*v - g. Suppose -3*l + 52 - v = -d, -5*l + 50 = 4*d. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - (-75 + 69 - (7 - -1))) + 56.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 30, -4*d = 8*v - 5*v - 138. Let b(h) = 11*h**2 - 2*h + 1. What is the remainder when v is divided by b(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 5*v - 1. Let n be h(-4). Suppose t - 59 = -t - 5*g, 0 = 2*t - 4*g - 32. Solve z - 2*d + 8 = 0, 7*d - t = n*z + 2*d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 37*b**2 - 171*b + 108. Let g be f(33). Sort 3, 4, g, 1 in ascending order.\nAnswer: g, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -18) + 1807 + -1792.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 4 (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-20.26.\nAnswer: -101.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003070516 rounded to 7 decimal places?\nAnswer: -0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 2*y**2 - y**2. Let g(c) = 34*c + 5. Let o(s) = -140*s - 21. Let f(n) = 21*g(n) + 5*o(n). Calculate p(f(b)).\nAnswer: -196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 8*i**2 - 6*i - 10. Let b = -1013 - -1020. Determine v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 687236 and 2.\nAnswer: 687236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3777 * -0.05\nAnswer: 188.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3577 and 7399?\nAnswer: 540127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 242 in -4, 20\/8241, -2\/3?\nAnswer: 20\/8241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/4 - 19*i**3\/3 - 5*i**2\/2 - 5*i + 82. Does 48 divide f(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9288353.3 + -6?\nAnswer: 9288347.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*u + (0 - 1 - 1)*(-u + 2*u + 0*u) + (-3 + 1 - 1)*(-3*u - 2*u + 4*u) + 0*u + 3*u - 6*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 52 - 5 - 0. Suppose 7*f = 147 - u. Is (-12732)\/(-6)*(f\/4 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - (4 - (1 + 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -120556 take away 90200026?\nAnswer: -90320582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*o - 162. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 3*b + 5, 0 = 2*z + 546*b - 550*b + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0 + 14. Let g(s) = 8*s + 2*s + 10*s**2 - 4 + 1 + 1 + s**3. Does 11 divide g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 240597923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -443211 + -3?\nAnswer: -443214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -289606.7 and 14.67.\nAnswer: -289592.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*k - 118, -k + 88 = 2*r - 34. What is the highest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - 1033?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Simplify (-2 + (2 + sqrt(72) + -2)*-2 + -1)**2.\nAnswer: 72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + 5*j**3 + 11*j**2 + 1 - 18*j**2 + (-3*j + 3*j - 2*j)*(0 - 2 + 1)*(7*j + 5*j**2 - 7*j).\nAnswer: 15*j**3 - 4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-105)\/(-80))*(-438)\/(-5256)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 99084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/396996 and 19\/3?\nAnswer: 396996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 21152503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m = -40*m - 120. Let u be 2158\/130 + (-9)\/m. Solve -5*l + 4*q = -4*l - u, -2*q = 4*l + 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98.99326ml?\nAnswer: 0.09899326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-9))\/(-4 + -2) and -24\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 11*x**2 + 10*x - 2. Let l be 13*(-2 + 3 + -2). Let g(a) = -a**2 - 12*a + 1. Let c be g(l). What is the units digit of s(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + j = -6, 4*j - 67 = 4*s - 75 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c - 1052. What is z(32)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 10*z**2 - 9*z - 4. Let n(s) = 2*s**2 + 1. Let g(q) = -24*n(q) - 3*r(q). Factor g(a).\nAnswer: 3*(a - 4)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1738 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 - -390. Let b = v + -233. Let x(m) = -2*m - 3. Let n(d) = -d - 2. Calculate b*n(w) - 2*x(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*b - 61 = 0, -3*y + 31 = -y + 3*b. Let k(w) = -w**2 - 10*w - 16. Let p(z) = -2*z - 3. Let s(t) = y*p(t) - 2*k(t). What is s(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1796921 by 24.\nAnswer: 1796921\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8 - 33 + 10 - 22 + 40*l. What is the tens digit of w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c + 1377 = -415*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 688*d**3 + 5*d**2 - 23 + 689*d**3.\nAnswer: d**3 + 5*d**2 + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/16 - (-1412)\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-9)*(-9)\/(-12). Suppose 3*b - 1746 = -f*b - 2*r, 5*b - 1737 = r. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -818285 or -818209?\nAnswer: -818209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 5*r**7\/42 + r**6\/6 - r**5\/2 - 18*r - 1. Suppose c(a) = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, e: 15}. Give prob of sequence zeee.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/11201 - -190419\/22402. Let z(h) be the first derivative of -17 + i*h**2 - 18*h. What is the derivative of z(w) wrt w?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1106544 and -4.\nAnswer: 4426176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3447423535 to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - -11*(-1782)\/(-363)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 59986\/198 - (-2)\/9. Let g = o + -303. Let m = -11 + 11. Sort -3\/4, g, m in ascending order.\nAnswer: -3\/4, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 - 25*j + 84. Let m be a(16). Suppose -m = -4*h + 2*n, 32*n - 30*n = h - 171. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o + 16 = -t, -3*o - 50 = -5*t. Let v = -9 - o. Let u be (-10)\/18 - 2\/(-6). Is v at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*y - 5*t, 5*t + 68 = 242*y - 240*y. Factor -3 - 9\/2*q + 3\/2*q**y + 3\/2*q**2 + 9\/2*q**3.\nAnswer: 3*(q - 1)*(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 385*v**2 - 3. Let g(n) = 12*n. Determine i(g(s)).\nAnswer: 55440*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 16*w**2 - 15*w - 1. Calculate j(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -61. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = c + 7, -w - 6*c + 9 = -3*c. Let f = 28 + 0. Suppose 5*i - f = -w*y, -3*i - 17 = -2*y - 8*i. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/20)\/(7\/175). Suppose 2*v - u*v = 13000000. Round v to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-5) + -1 + 31?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143878968*h**3 - 2*h**2 + 15000433*h wrt h.\nAnswer: 863273808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*c - 176*c - 160*c - 207*c - 157*c - 2*c**2 - 159*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*t - 6 = 3*t, 6 = -5*p + 2*t. Let o(a) be the third derivative of p*a**4 + 0 + 0*a + 1\/150*a**5 - a**2 - 1\/15*a**3. Solve o(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189796315 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 41. Let d be l(-14). Let x = 29 - d. Let g(w) = w - 10. Let u be g(x). Solve -4*h - u - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:44 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 3*v + 2. Let c = 47 + -50. Let f be x(c). Suppose 6*b + 2635 = f*b - 5*l, -2*b - 1323 = -3*l. What is b rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -5*j**3 + 4*j**2 - 4. Find the second derivative of f(b) wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71145653 + -53.\nAnswer: -71145706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7492730, 14985413, 22478046, 29970623, 37463138, 44955585, 52447958?\nAnswer: 59940251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 5*w - 84. Let h = w - 19. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*l**3 + 286168*l**2 - 286168*l**2 - 5*l.\nAnswer: -282*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 37. Suppose -y = -4*s + t, 4*y + 72 = -2*s - 46. Let z be ((-1 + -1)\/(-4))\/((-27)\/y). Which is the third biggest value? (a) 0 (b) 4 (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 2*i + 14. Let b(z) = -z**2 - z + 3. Calculate -4*b(j) + f(j).\nAnswer: j**2 + 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 709 and 75429801?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8837 is divided by 325.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3029873573.\nAnswer: 181, 16739633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**0*j\/(j\/(j\/(j**(1\/5)*j))))**(-5\/16))**(1\/53))**41 assuming j is positive.\nAnswer: j**(-369\/848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*y - 42*y - 57173. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2150909 is divided by 107.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 1225987 + -1225985. Factor -7*d - 1\/3*d**c - 38\/3.\nAnswer: -(d + 2)*(d + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 163866, -3, 4 in decreasing order.\nAnswer: 163866, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = 25. Let n = -1 - x. Let v(o) = -o**2 + 8*o + 4. Let r be v(n). What is the greatest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 5*i**2 + 6*i - 3. Let d be n(-5). Let s = -28 - d. Find j, given that -j**s - 13 + 20 - 11 + j**3 - 3*j**4 + 7*j**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (14 - -21) - (3 + -57)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 4. Suppose -t - 4 = 5*m - 1, 2*t + 3*m = 1. Which is the closest to t? (a) 4 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 3*p**2 - 4057*p**3 - 300*p**3.\nAnswer: -4357*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 652563.148 to the nearest 100.\nAnswer: 652600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -b35?\nAnswer: -b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2407, -4713, -7019, -9325?\nAnswer: -11631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 897 and 41655.\nAnswer: 12454845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0732 times 0.05?\nAnswer: 0.00366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01671 from 11.\nAnswer: 11.01671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15127 + -2 + 4)*(-1 + 345). What is f rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.21 (b) -1 (c) -0.5 (d) 4\/7 (e) 5\/4 (f) 7 (g) -225\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40439 times 127?\nAnswer: 5135753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40437 is divided by 506.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**3 - 5*q**2 + 10*q + 27. Let g be t(6). Which is greater: -962 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -2\/7, 3, -0.2, 0.9 in ascending order.\nAnswer: -3\/7, -2\/7, -0.2, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sews when four letters picked without replacement from {w: 6, s: 6, e: 7}.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -466 (b) 0.4 (c) -0.4 (d) 0.02 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 1403342 = -3217860 - 1528919. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*16\/(-36). Let t = -0.1 + -1.9. Which is the third biggest value? (a) t (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, -182, -656, -1564, -3050?\n\"Answer: -24*p**3 - p**2 - 13*p + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 + -73. Suppose -4*i - h + r = -0*h, -2*i = -h - 11. What is the smallest common multiple of i and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0.0486073.\nAnswer: 3.9513927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-21))\/(3\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*l = 0, -2*q = -q + l - 1. Solve 5*y - 4*k - 2 = 0, 0 = 3*y - 3*k - 0 - q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17671220, 17671217, 17671214, 17671211, 17671208?\n\"Answer: -3*r + 17671223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25 - m + 64 - 23 - m wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + h**2 - h - 1. Let r(g) = -5*g**3 - 11*g**2 - 5*g - 4. Let n(u) = 4*q(u) + r(u). What is the least common multiple of 22 and n(-6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8448 by -41.\nAnswer: -8448\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150978, -283, 2 in increasing order.\nAnswer: -283, 2, 150978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71, -140, -209, -278, -347, -416?\n\"Answer: -69*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 2, -3274, 0.2, 0.3 in ascending order.\nAnswer: -3274, -83, 0.2, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125232, -496775, -1116014, -1982949, -3097580, -4459907?\n\"Answer: -123848*y**2 + y - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c. Let o(x) = 213*x**2. What is q(o(m))?\nAnswer: -1491*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 677022 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1022 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 + 2*p**2 + 3*p + 3. Give i(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128637\/10 + 12852. Calculate the common denominator of 13\/3 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from aeayaaaeaeeayaae.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -3571, 2, -5, 0.5, -3\/4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 11. Let y be w(5). Let u be -2*1\/6*y*402. Suppose 2*o - 118 = u. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/29 and 25\/232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, 9, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -p - 1, -4*j + 0*j = -4*p - 4. Suppose j = d + 550 - 625. Is d a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58291 and 14768.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100*57.\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 12) to base 10\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j. Let m(o) = -o**2 + 17*o - 35. Let p be m(12). Let g(u) = -u + 26 - 51 + p. Determine g(l(r)).\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17809026, -17809029, -17809032?\nAnswer: -17809035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) - sqrt(300)*-3)*-5)\/sqrt(6))\/(-2*(-1*sqrt(1210) - sqrt(1210)))*-3.\nAnswer: -63*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i**3 + 2*i - 2. Let r(u) be the second derivative of 0*u**4 - 1\/20*u**5 - 34*u - 1\/2*u**2 + 1\/6*u**3 + 0. Give 2*r(s) - z(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 207 + 1 - 200*g + 95 + 308*g wrt g.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 3*l**2 - l + 5. Let g be v(4). Suppose g = 6*m - 13. Suppose 2*k = m*k - 12. Solve a + 10 + 15 = 4*r, -k*r = -2*a - 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by -2.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 + 23. Let r = 77 - c. Let z = -88 - r. Solve -4*x - 3 = -z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2180, 2162, 2144, 2126, 2108?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 898 and -29.135971?\nAnswer: 927.135971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 1. Let y(a) = a**3 - 3*a**2 + 8*a + 4. What is -5*p(f) + y(f)?\nAnswer: f**3 - 3*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 9:13 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**4 + 22*x**3 + 52*x**2 - 206*x - 513. Let q(w) = 16*w**4 - 44*w**3 - 105*w**2 + 414*w + 1026. Let r(g) = -4*q(g) - 9*t(g). Factor r(b).\nAnswer: -(b - 3)*(b + 3)**2*(b + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12995 + 2554 = l, 28 = -4*w. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**3 + 6*v**2 + 3*v - 7. Let j(d) = d**2 - 7*d + 4. Let m be j(5). Is c(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*h**4 + 8\/5*h**3 + 4\/5*h**2 - 8\/5*h.\nAnswer: -4*h*(h - 2)*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(2\/5)*d**(-5\/2)*d*(d*d*d**(-6))\/d**(-1) assuming d is positive.\nAnswer: d**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s + 5*j - 3*j, -5*j = 5*s. Suppose 0 = s*q + 247 - 1947. Round q to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -855 - 54*k + 855 in the form p*k + n and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -22*b + 22. Let r be m(1). Let w(a) be the second derivative of 2\/3*a**3 + a**2 + 1\/6*a**4 - 2*a + r. Factor w(x).\nAnswer: 2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 19\/2 (c) 1\/28 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**9\/20160 + k**8\/3360 + k**7\/1680 - 7*k**5\/30 + 8*k**2. Let l(g) be the third derivative of n(g). Factor l(v).\nAnswer: 3*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6877781 + 57?\nAnswer: 6877848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 3. Let m = -2 - j. Solve 3*i - 15 = -m, -3*y = -3*i + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 + -12 + -1 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1100) - -3*sqrt(1100)).\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8 + 3*o**2 + 5*o - 16 - 10. What are the prime factors of k(-7)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1182683?\nAnswer: 1182684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124434 - -111?\nAnswer: -124323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6*u - 17 = 11, -5*d - 22*u = -115 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.03555ml in litres?\nAnswer: 0.00603555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 0, -5*w - 1 + 9 = 2*l. Solve -l*x + 2*x - 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + sqrt(2448) + (sqrt(2448) - -4*1*sqrt(2448)) + 3)**2.\nAnswer: 504*sqrt(17) + 119961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -310010301 (base 4) in base 12?\nAnswer: -a3529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1300))**2*6 + sqrt(1300) - (sqrt(1300) + (1*sqrt(1300))**2 + 1)) + (2*sqrt(65)*2)\/(sqrt(5) - (sqrt(5) + -2*sqrt(125))).\nAnswer: 2*sqrt(13)\/5 + 29899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -12. Let f = 8 + y. Let z = 0 - f. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*w**3)*(0 - 3 - 2) + 2*w**3 - 4*w**3 - w**3 - 6*w**3 + 3*w**3 + 2*w**3 + (1169 - 1169 - 27*w)*(-w**2 - 5*w**2 + 4*w**2).\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.09183*0.23\nAnswer: -0.0211209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144\/5*b + 72\/5*b**2 + 2\/5*b**5 + 28\/5*b**3 - 18\/5*b**4 + 0 = 0 for b.\nAnswer: -2, 0, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**5 - 44*y**4 - 12*y**3 + 1148*y**2 - 1960*y = 0.\nAnswer: -5, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*a + 4*o - 0*o, -3*a = -4*o - 9. Suppose -4*n = -20, -5*n + 17 = -i + a. Solve -b - 7*p + 3 = -2*p, 5*b = -2*p + i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 x when four letters picked without replacement from {x: 7, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -23*i - 25*i - 24*i + 104*i - 25*i. Let x(b) = -7*b**2 - 1. Determine t(x(z)).\nAnswer: -49*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -463\/47, -2\/9?\nAnswer: -463\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. What is the common denominator of 1*v*(-261)\/(-135) and -62\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 51, 86, 127, 174, 227, 286?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -51*a**4\/4 + 3*a**3\/2 - 2*a + 3. Find the second derivative of n(w) wrt w.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507*m = -506*m + 2. Let n = -1 - -0.5. Let r = -229 - -1600\/7. Which is the third biggest value? (a) n (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -587902, -1175816, -1763730, -2351644?\n\"Answer: -587914*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/11 + 4828\/187. Let s = 28 - g. Find the third derivative of 63 - 3*b**2 - 3*b**5 + 2*b**s - 63 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178516417 take away 2?\nAnswer: 1178516415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8 - 1 - 4 - b. Let g be v(0). Let h = 1.1 - 1. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3058 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, -0.05 in descending order.\nAnswer: 0.4, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1594\/15 - -164092\/1545. Let h = d + -128\/1339. Let o = -2\/197 + 428\/3349. Which is the third biggest value? (a) o (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.788682cm?\nAnswer: 47886820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 - j**2 + 2*j**2)*(1 - 3 - 2) + 419*j**2 - 418*j**2 + 3 + 6 - 2*j to the form r*j + u + p*j**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by (-2)\/((-65)\/55 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrhhqorvrrrorqrhr. What is prob of picking 1 h and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 15*w**4\/4 - 291023*w**3\/2 + 5663443003*w**2\/4 - 83123847530*w + 5535297164 = 0.\nAnswer: 1\/15, 59, 19372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 354. Let j(v) = 6*v - 531. Give 5*j(x) + 7*s(x).\nAnswer: 2*x - 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/517 at least -12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128 + 98 + 99 + 12)*(2*w + 3*w - 4*w).\nAnswer: 337*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3880765201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1)**27\/(c\/c**(-6)*c**(2\/15)))**(-38))**(-35\/4) assuming c is positive.\nAnswer: c**(19817\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 17. Suppose -p*n + 24 = 2*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:13 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (84 + -31 + 58)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0285 times 0.4?\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 0*r + 8 = 2*y, -3*r - 28 = -5*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 + 4*b + 81. Let f(a) = -a**2 - a - 27. Let j(z) = 8*f(z) + 3*q(z). What is the least common multiple of 24 and j(0)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-196344)\/14985 + (11 - -2) and 73\/20?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13607387 is divided by 577.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -979000 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 249, 504, 769, 1044, 1329, 1624?\n\"Answer: 5*n**2 + 240*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a94 (base 11) to base 8.\nAnswer: -31754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34268293063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 8)*(-8)\/(-3940). Which is smaller: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(-2\/5))\/g)**(-13\/2))**(22\/3)\/(g**(1\/4)\/(g**(-5)*g*g))**(-49) assuming g is positive.\nAnswer: g**(5551\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 699651 divided by 2\nAnswer: 699651\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) -4\/5 (c) 431081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 2.155.\nAnswer: -1.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*s + 4. Let g = -42 - -13. Let u = 34 + g. Which is the biggest value? (a) u (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 10. Let h be (-1)\/((-2)\/l) + 0. Solve -h*f = 3*o - 8, 4*o = -0*f + 4*f - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*s**2 - 66*s + 66*s to x + r*s**2 + u*s and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z. Let k(j) = j. Let o(y) = -18*k(y) - w(y). Suppose 0 = -4*c + 12*c - 3400. Let n(x) = 0 - 443*x**2 + c*x**2 + 0. What is n(o(b))?\nAnswer: -162*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 10*o - 7*o + (-123 - 110 - 73)*(0 - o + 0) to a*o + q and give a.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9)**36\/(k\/(k\/(k\/(k**5*k))*k)*k*k**(4\/7)\/k) assuming k is positive.\nAnswer: k**(2306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -159, 5.\nAnswer: -159, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 7*l**2 + 9*l + 5. Let p be 6*3\/24 - 39\/4. Let x = p - -3. What are the prime factors of c(x)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*q = 51 + 353, 4*z + 2*q = 826. What are the prime factors of z?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140801 is divided by 3323?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4314, 121, 4, 33 in increasing order.\nAnswer: -4314, 4, 33, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*d + 13, 417*d - 24 = 4*y + 413*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-5 - -1)) + -3 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -9*x + 90. Suppose -9 = 2*t - x*t. Find p such that -1\/3*p + 0*p**2 + 1\/3*p**t + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u + 38. Let b be k(-7). Solve -b*d = -7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5942 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 277 divided by -136\nAnswer: -277\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*1*sqrt(84) - sqrt(84) - sqrt(84))\/((sqrt(4) + sqrt(4)*1)*-6))\/(-2*sqrt(700) + (sqrt(7) + sqrt(63)*-4 - sqrt(7))).\nAnswer: sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024785268 to five decimal places.\nAnswer: 0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 181748.4 millilitres in litres?\nAnswer: 181.7484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 6 - 137 - x + 23.\nAnswer: -x - 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 411*v + 2514. Calculate n(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.3 (c) -6 (d) 0.08 (e) -39\/97\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 5)*(-1 - 3 + 5)*(23098 - 23098 - 840*s).\nAnswer: -1680*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**2 - 5256960*z - 1727226777600 = 0.\nAnswer: -657120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298441645 + 2*x - 298441645.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 28)*(i**2 + 3*i**2 - 5*i**2)*(3 - 6 - 3).\nAnswer: 156*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-411)\/504 - ((-144)\/(-28))\/(-6)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k + 4*u - 2*u - 4, 2*k = 3*u + 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -2\/17 (c) 8\/111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10646884 to the nearest integer?\nAnswer: 3263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-3 - -3 - 3). Let y be m*6\/(1 + -4). Suppose -5*r + 82*q = 79*q - 7, -7 = -3*r - q. Solve -3*g - k - 4 = -y*g, -r*k = 5*g + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14178 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 3*o + 2. Let r be q(3). What is the highest common factor of r and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.556 or -103262?\nAnswer: -103262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320 - 318 - 2*m + 964 - 324.\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 534 + -0.08.\nAnswer: 533.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - u = -3*u + 25918, -2*q + 12955 = 5*u. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -20 + 66 - 17 - 16 + t. Determine x(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -0.18. Which is the nearest to f? (a) 1 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/45? (a) 0 (b) 99 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 18 = -3. Let q(c) = -c**3 - c**2 + c. Let p be q(u). What is the tens digit of p - (0 + -1 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-1464)\/(-9))\/8 + -1)*(-3)\/(-2). Let g(l) be the first derivative of h - 2\/3*l**3 + 0*l**2 + 0*l. Let n(o) = -47*o. Calculate g(n(f)).\nAnswer: -4418*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5608629*b**2 - 7669013 wrt b.\nAnswer: -11217258*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 893.4509 centuries?\nAnswer: 89345.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -23*v**2 + 44*v + 83. Calculate j(-2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11517*o - 2787121. Give u(-242).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q*q**6))\/q)\/q**1)\/(q*q*q*q**(2\/7)*q*q*q*q)**2 assuming q is positive.\nAnswer: q**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6027570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102484 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3699?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (6 + (13 - 15))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*l**3 - 49\/5*l**2 - 101\/5*l - 51\/5.\nAnswer: (l - 51)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 1350, 3086, 5508, 8610, 12386?\nAnswer: 16830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 55367 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1. Let s(x) = 4*x + 41. Let o(l) = s(l) - 4*t(l). What is the remainder when 209 is divided by o(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369796 is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 291589, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 10:19 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 9*d - 2*d**3 + 7*d**3 + 5*d.\nAnswer: 5*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4 + 2)\/((-48)\/(-1792)). What is the highest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 3*m**2 + m - 3. Let r(h) = 4*h**3 - 5*h**2 + h - 5. Let g(f) = 5*c(f) - 3*r(f). Suppose g(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 242*u + 185. What is the thousands digit of d(33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3298205792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5 + 12. Suppose 3*u - 20 = -g. What is the closest to u in -0.5, 8, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = -x. Solve 3 + 1 = x*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -6\/11 (c) 0.6 (d) 1 (e) 5\/8 (f) 2 (g) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*v + v = -29, -2*v = 5*k - 32. Suppose 3*l + k = -2*b, b + l + 2 = 6*b. Factor b*h - 1\/5*h**2 + 0.\nAnswer: -h**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -0.1408?\nAnswer: 0.0592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-8))\/(2\/4). Let u be (0 - k\/5)\/((-2)\/(-5)). Let n be 2 + 0 - (2 + -2). What is the third biggest value in u, 1\/2, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34362 and 32979884.\nAnswer: 3818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -19, -73, -169, -319, -535, -829, -1213?\nAnswer: -1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 280, 273, 258?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d - 4*c + 23 = 0, 4*d - c = 37. Suppose -4*r = -d*r + 1055. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}