diff --git "a/data/dm_maths/full_data_1/10143_11255.jsonl" "b/data/dm_maths/full_data_1/10143_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10143_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h be 6\/10 + (-24)\/(-10). Let y be 4625*(720\/h)\/3. What is y rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253216?\nAnswer: 2, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.011 - -0.011. Let g = 12\/43 + -194\/387. Let m = 9 + -8.9. What is the third smallest value in j, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 13*o**3 - 4*o**3 + (-2*o + 5*o - o)*(4*o**2 + 0*o**2 - 2*o**2) - o**3 - 4*o**3 - o**3.\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71389780?\nAnswer: 2, 5, 7, 11, 151, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0. Let i = -5.191 + 3.191. What is the closest to 0 in 0.3, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -737, -1487, -2237, -2987?\nAnswer: -3737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -2\/7, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 11*a = 4, -l - 2*a = -39. Suppose -5 + l = 8*c. Sort c, -4, -2 in decreasing order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -23*g - 15. Let f be z(-6). Let i = f + 15. List the prime factors of i.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -349*k**3 + 347*k**3 - 3*k**2 - 9 - 3*k**4 - 14 - 8*k**3 + 8*k**3 + 6*k**4 + 5*k**4 - 3*k**4 - 3*k**4 + (3*k**3 - 6*k**3 + 4*k**3)*(-2*k + 0*k + k).\nAnswer: k**4 - 2*k**3 - 3*k**2 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -40. Let r = -13 + q. Solve -r = -0*g - 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*v - 9*v + j, 5*j - 10 = -3*v. Let n = -11 - -15. Put v, 0, n in descending order.\nAnswer: n, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(85)\/sqrt(5) - sqrt(17)) + 2*-1*sqrt(17).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/360 and 28\/33?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) -1 (c) -0.3 (d) -5 (e) -28 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 0*k)*(-8*k - 6 + 6) + 4*k**2 - 2*k**2 + 7*k**2 - 43*k + 43*k - 4*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.866 - -0.5?\nAnswer: 123.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6*x**2 + 1)*(-x + 4 - 4 + (1 + 1 + 0)*(-4*x + 0*x + 3*x) + 0*x + 4*x + 0*x) to the form r*x + b + z*x**2 + o*x**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {o: 2, n: 1, x: 5, g: 3, l: 7}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*1)\/sqrt(5)*3)\/(sqrt(288)\/(sqrt(32)\/sqrt(4))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86705, -173131, -259555, -345977?\nAnswer: -432397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 7. Suppose -4*a = u*d - 14, -a + 0*a + 3*d + 14 = 0. Sort 3, a, 2\/3 in descending order.\nAnswer: a, 3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a**2 + 12 + 695*a**3 + 10 + 41*a**2 - 1552*a**3 wrt a?\nAnswer: -5142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/365 - -10633\/5840. Find the common denominator of q and -97\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -20 and -7.511.\nAnswer: -27.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 177.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhwwihwalr. What is prob of sequence hl?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 8, -97 in ascending order.\nAnswer: -97, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/13 + 10*r + 1428\/13 = 0.\nAnswer: -51, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156\/497 + -2\/71. Let x = 3 - 6. Let v be x\/(-5)*4\/(-6). Which is the second biggest value? (a) 4 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.38039858 rounded to two decimal places?\nAnswer: 2.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l + 7. Let j(p) be the third derivative of -7*p**4\/12 - 11*p**3\/6 + 6*p**2. Let o = -145 + 137. Give o*g(n) - 5*j(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126 smaller than 5125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 205767797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 357 + -295. What is the remainder when l is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 357550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**5\/4 - 295*l**4\/6 + 2800*l**3 + 18000*l**2 - 2*l + 186. Let k(n) = 0. Calculate n.\nAnswer: -2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/5)\/(22\/(-10)). What is the third smallest value in r, -5, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -68. Find the first derivative of 4*k + 9*k - k + 5*k - t wrt k.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u - 2*u + 0*u)*(1 - 5 + 3) - 1 + 1 - 2*u + 12*u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(13\/3)\/d**32 assuming d is positive.\nAnswer: d**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:12 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -5, 1\/5, 3.5, 107, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631954813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 293 + -292. Which is greater: -5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-14 - -9) - (6 + 5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - 1. Suppose -3*t - 5*n = 5, 5*t + 0*n + 2*n + 2 = 0. Let h be (-4)\/(-6)*(-3 + t). What is the units digit of p(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*i + 83, -y + 2*i - 98 = -5*y. Solve -2*t + 35 = 5*f, 4*t = -2*f + 7 + y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -2\/7, -2\/13, -483, -6\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21805, -43627, -65441, -87247, -109045?\n\"Answer: 4*t**2 - 21834*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 6. Let s = -164 + 164. Suppose s*y = y + 6. Let n(l) = -l**2 + 7. What is y*n(c) - 7*t(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*o - 1054622, -4*d + 695*o = 700*o - 1406151. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/12)\/(2\/(-36)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -993330 divided by 1755.\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*c, 3*l - 41 = -3*c + 4. Solve 0*j = 5*j - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*o = -20, 0*l + 3*l + 19*o = 108. Let b = -6.14 + 0.14. What is the nearest to -0.1 in -4\/3, b, l?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2. Let q(l) = -4439169*l + 4439169*l + 20*l**2 - 23. Determine q(b(g)).\nAnswer: 180*g**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 2*n**2 - 3*n + 33. Let d be f(0). Sort -5, 2, 1, d in ascending order.\nAnswer: -5, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63400 divided by -4?\nAnswer: 15850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43564361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/67498695 and -44\/681805?\nAnswer: 67498695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**4 - 1158*x**3 - 71256*x**2 + 459126*x - 704565 = 0.\nAnswer: -307, -85, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-12) + 1 + -3 - -4. Let g(b) = h + 11*b**2 - 27 + 14*b + 3 - b**3. Let w be g(12). Solve -2*v + w = -d, 3*v + 0 - 1 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034067 to three decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 3, 5, -1.3, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.77*1.\nAnswer: 1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 8. Suppose 7*j + 14 = k*j - 5*s, 4*s = -2*j + 2. What is the third derivative of -j*g**4 + 3*g**4 - 2*g**2 - g**4 wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 10343 = 3253. List the prime factors of p.\nAnswer: 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024439 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -66, 163, 4, 0?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.55 + 299.45. Let g = h - 302.6. Let q = -4.7 - -5. What is the nearest to q in 5, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*((0 - -1) + 0). Let a be 5*(y + 15\/(-25)). Solve 0*v + a*v = -10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -40. Let y = 140 + -58. Calculate the remainder when y is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:49 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 13, -2, -201, 6 in descending order.\nAnswer: 13, 6, 4, 0, -2, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1098 = 10*m. What are the prime factors of m?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:34 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 10161?\nAnswer: 10149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29151 and 191101?\nAnswer: 1719909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5713 minus 0.24?\nAnswer: 0.3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0.7 (b) -2\/5 (c) -2 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + 10. Let n be 25\/42 - (1 + d\/(-30)). Let y = -822\/5 + 165. Which is the nearest to 3? (a) n (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -707*c**4*f**2 + 2*c + 310*f**2 wrt c.\nAnswer: -8484*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**8\/840 + f**7\/525 - f**6\/50 + f**5\/75 + f**4\/12 - f**3\/5 - f**2 - 2*f. What is n in h(n) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {w: 7, f: 2, q: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.6137 + -367.5469.\nAnswer: -373.1606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-11120)\/(-47260)*2\/(-4)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*o + 6. Let x = 0 + o. Let p(i) = -27*i + 2 + 1 + 26*i + 1 + i**x. Determine p(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 20 - 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 209501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 386 - 380. Let f(h) = -5*h**3 + 5*h**2 + 2*h - 2. Let r(b) = -b**3 - 1. Let m(p) = -f(p) + 4*r(p). What is the tens digit of m(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*d = 63*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2 - 12*a - 7*a + 7*a. Let l be h(-6). Calculate the highest common factor of 35 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37567 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(sqrt(2) + -2) + sqrt(6)\/sqrt(48) + 5 + 1*sqrt(2).\nAnswer: -7 + 29*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-5)\/(-9) + 232\/174 + -28?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283238766 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005734001923 rounded to seven decimal places?\nAnswer: 0.005734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-3689)\/279 - (-92)\/90*1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 304 = 7*y. Let c = -42 - -48. Calculate the remainder when c is divided by y\/(-28) + (-6)\/(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.1 + 18.1. Let l = -1.9 - -3.9. Let y = -1.4 + l. What is the closest to 0.2 in 2\/11, y, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 234 = 4*n, 5*n = -3*q + 6*n + 137. Calculate the greatest common divisor of q and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 3*m**2 - 2 + m - 11*m - 2*m**3 + 4*m in the form a*m**2 + h*m**3 + p*m + u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 11*z + 23. Let s be a(5). Solve p + 1 = -0, -4*m - s = 2*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377.4302 tonnes in grams?\nAnswer: 377430200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/((-52)\/(-20) + -3). Let i(m) = -m + 9. Let y be i(7). Suppose -z = 3*l - 13, -l + y*z = -6*l + 21. What is the greatest common divisor of l and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/4)\/(115\/(-2576)). Solve 81*k = w*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*g - 1694, -2*d - 2*g + 546 + 588 = 0. Let s = d + -111. Suppose -s = -4*b - b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + a + 9, 4*j - j - a - 11 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 198 + -140. Suppose -z + 5*h + 16 = -26, 0 = 3*z + 2*h - s. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*w - 3*w + 8, -3*t + w = 17. Which is the second smallest value? (a) t (b) -5\/4 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 585 (c) 1\/22493\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r + 33*r - r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quzmk. What is prob of sequence zqum?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37152 + 37255. Calculate the remainder when 544 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1504564*z - 1504564*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhhhhhh. Give prob of sequence hu.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1557, 1529, 1501?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5729 is divided by 517.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 8*x - 80. Let l be f(-10). What is the greatest common factor of 50 and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.5, -319\/8, -4 in increasing order.\nAnswer: -319\/8, -4, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - l - 2. Let a(c) = c**3 - 6*c**2 + 8*c - 10. Let o be a(5). Suppose 9*q - o*q = 16. Calculate i(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 5:13 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 3*a**2 + 3*a + 3. Let p(q) = -5*q**3 + 7*q**2 + 7*q + 7. Determine 7*b(l) - 3*p(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 4:41 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/21084 and 139\/456?\nAnswer: 801192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287.01*-2.\nAnswer: 574.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 94, 105, 112, 109, 90, 49, -20?\n\"Answer: -a**3 + 4*a**2 + 6*a + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**5 - 23*o**4 - 9*o**3 - 43*o**2 + 12460772*o wrt o.\nAnswer: 60*o**3 - 276*o**2 - 54*o - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 9 = 3*x - s, -x + 3*s = 1. Suppose -4*l + 2*v = -2724 - 2306, 1244 = l - x*v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 3*c**5\/20 - c**4\/12 - c**3\/2 + c**2\/2 + 9*c - 6. Let a(v) be the first derivative of n(v). List the prime factors of a(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(288) + sqrt(288)*-2 - (sqrt(288) - (sqrt(288) + (sqrt(288) - -4*-1*sqrt(288)))))*3)**2.\nAnswer: -1728*sqrt(2) + 41508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 8*y + 24. Let b be d(-6). Calculate the highest common factor of b and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 418? (a) -13 (b) 3\/8 (c) 0 (d) 2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2570 (base 8) to base 15\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 4 + 13)*(1 - 1 + 3)*(-1 - 1 + 1)*(v**2 + 4*v**2 - 3*v**2).\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168357489 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -641 - 481. Let z = i + -3356\/9. Find the common denominator of 3\/2*(-69)\/(-18)*-2 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 = -0*f. What is the second biggest value in 0.3, f, -5, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 17*f + 16. Let j be c(8). Let p be 4\/6 + (j\/15)\/(-2). Solve u = 3*n - 4*n - 8, p*n = -5*u - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2655, -2659, -2665, -2673, -2683, -2695?\nAnswer: -2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 32010 = 5*g, 7*g + 12837 = 9*g + 5*h. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + v - 116. Let a be i(0). Let n be (-1)\/(4\/a*1). Solve -3*q - 21 = 2*w, -3*q - 3*w = q + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:26 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/24)\/(110\/(-88))*(-2)\/(-224)*-6.\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-19)\/6)\/((-7)\/84). Solve 4*p - 2*r + 2 = 0, p + 5*r = d - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -2*sqrt(208)*2 + sqrt(208) + -4 - (sqrt(65)\/sqrt(5)*-5 + 0 + sqrt(39)\/sqrt(3)))**2.\nAnswer: 32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000391146 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, 1.\nAnswer: -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*z**2 + 19480*c**2*z + 2*c**2 - 431*c - 170*z**2 wrt c?\nAnswer: 4*z**2 + 38960*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5\/4, 1\/3, -3, -1\/21, -1.\nAnswer: -3, -1, -1\/21, 0.1, 1\/3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h**2 - 109 + 17*h + 6*h + 25*h**2 + 18*h**2 + 114 to the form z*h + f + w*h**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161193859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 11 (c) 3\/5 (d) 1.1 (e) 1\/4 (f) -134\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Let n = 0.05 - 2.05. Let l = n + 1. Which is the closest to l? (a) 1 (b) 1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-30))\/(1533\/1095)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 33*a**2 + 146*a + 79. Let w be m(37). Sort w, 3, -2\/9, -0.4, 6.\nAnswer: -0.4, -2\/9, 3, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/(j*j\/(j*j\/(j*(j**(-2)*j)\/j)*j)))\/j)*j\/j**(4\/11)*(j**(-2)*j*j*j)\/(((j\/j**(-2\/7))\/j)\/j) assuming j is positive.\nAnswer: j**(104\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 56. Suppose -53*g + 54*g = -4*a + 2, 4*a - h = 3*g. What is the third smallest value in 96, 1\/4, a?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r + 2. Let g be f(0). Suppose -y - 1 = -g. Let h(l) = -3*l**2 - l + 1. Let p be h(y). Put 0, 3, p in decreasing order.\nAnswer: 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47373 + -28154. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 2*h - 22. Calculate u(9).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308839 = -5*o + 29949. Let b = -4962 - o. Let u = b - 4816. What is u rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102060265 divided by 20412053?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2785 - 0.3785. Let z = j - 0.343. What is the nearest to 2 in 3, -1, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4183\/140 - 162\/35. Let a = -25 + t. Let c = 5 + -9. What is the third smallest value in 2, a, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21.975? (a) 1\/5 (b) -3 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171963 greater than 171961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -7. Suppose 5*h + 30 - 105 = g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/239 + 2621\/956. Is 4 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*u + 65*u + 236*u + (-2*u + 0*u + u)*(-3 - 4 + 5) - 2*u + 3 - 3 + (-u + 2*u + 0*u)*(2 - 6 + 2) as g + z*u and give z.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25511190*s**3*t**2 - s**2*t + 11985*s*t**2 - 2*s*t - 9*t wrt s.\nAnswer: 153067140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 3*v**3 + 0*v**2 + (-3*v**2 + 0*v**2 + 5*v**2)*(6*v + 0*v - 3*v) + (0*v**2 + 2*v**2 - 3*v**2)*(5*v - v - 2*v) - 26*v + 16*v**3 + 26*v.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -71403 - -7?\nAnswer: -71374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -22. Which is the nearest to -1? (a) u (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 900437.175 to the nearest 1000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**3 + 5103*q**2 - q + 156905.\nAnswer: -6*q**2 + 10206*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 53*p**2 - 3*p + 12. Let d(l) = -92*l + 2. Determine d(b(x)).\nAnswer: -4876*x**2 + 276*x - 1102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 13*x**2 + 4*x - 1. Let d = -30 + 18. Let j be y(d). Suppose i + i - g = j, -g - 48 = -i. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, g: 3}. Give prob of picking 2 n and 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = 5*y + 3*r, 4*y = 31*r - 33*r + 250. What is the highest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -17. Suppose u*y = 4*d - 642, -d + 2*y + 161 = y. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**3\/2 + r**2\/2 - r - 8. Let t(f) = -f - 3. Let y be t(-5). Determine q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -90 - 602?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.012368*-19\nAnswer: -0.234992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + 2. Suppose 4*o = 5*k + 217, -2*o + 38 = 5*k - 63. Calculate the remainder when o is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13430 and 4.\nAnswer: 26860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 2 - 2*q + 2*q**4 - 10*q**3 + 5*q**3 to the form b*q + k*q**2 + y*q**3 + f + i*q**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 3, d: 1}. What is prob of picking 1 d and 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 151093 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28515878?\nAnswer: 2, 647, 22037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3024*g**3*o**2 + 5821409*g**3 - 810*g**2*o**4 wrt o.\nAnswer: -6048*g**3*o - 3240*g**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(245))**2 + (sqrt(245) + 1 + -3)**2.\nAnswer: -241 - 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + -8?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 - 132006*h**2 + 2177471790*h + 23968165078 = 0 for h.\nAnswer: -11, 33007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 - 73\/(438\/(-204)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nadlal. What is prob of sequence all?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 510790 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -7*f**4\/24 - 7*f**3\/6 - 3*f**2. What is the remainder when p(-7) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 2) + 28 + (-5 - 5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 22*v**2 - 256*v - 96. Give c(13).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7567784258 - -7567784462.99999604. Let m = j + -205. Round m to seven decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2745 divide 479830306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -168*x + 1024. Let l be w(19). Which is bigger: -8667\/4 or l?\nAnswer: -8667\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32288837420 rounded to the nearest 1000000?\nAnswer: 32289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**3\/3 - 5*w**2 - 6*w - 15621. Let a be 0 - (0\/(-2) - -9). Determine n(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4864*o - 82423 + 82423.\nAnswer: -4864*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 9) to base 13.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 552, 2, 42, -99, 5 in descending order.\nAnswer: 552, 42, 5, 2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -33100 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 12*d**2 + 62*d - 726. Give z(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)\/j)**30 assuming j is positive.\nAnswer: j**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + -32 + 36\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-802)\/(-5)*5\/(-120). Let a = -226\/15 + t. Calculate the common denominator of 19\/12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, -0.2, -3, -1, 5\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-100)\/(-40)*(-16)\/(-10). Solve t + 3 = 5*r - 24, -22 = -m*r + t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -10*b**6\/3 + 28*b**5\/5 + 3*b**4 - 28*b**3\/3 + 4*b**2 - 5. Solve p(z) = 0 for z.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 795*z**2 - 6271*z?\nAnswer: 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + ((-635580)\/(-750))\/66?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -8*o - 22. Let s = 0 - -0.3. What is the closest to 2\/3 in o, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddh when three letters picked without replacement from dddwhdwwdhh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpst when four letters picked without replacement from {s: 1, t: 3, r: 1, p: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -29*g**4 + 372*g**3 + 5367*g**2 - 73294*g + 56784 = 0.\nAnswer: -14, 24\/29, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 24 + 15*j - 4*j**2 - 2. Let s be f(13). Suppose -2*o + 5*o - 4*m - 785 = s, -2*m = o - 255. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1371530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**5 - 180*f**4 + 575*f**3 - 390*f**2 = 0.\nAnswer: -39, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 7665175*x - 7665170.\nAnswer: -5*(x + 1)*(x + 1533034)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1, 1253, 2, 2\/55, 5?\nAnswer: 1253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432205092 to the power of 1\/2, to the nearest integer?\nAnswer: 20790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 112 = 4*c, 18 = -c - 2*o - o. Let a = c + 55. Suppose 2*t = 61 - a. Put 4, 3, t in descending order.\nAnswer: t, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/5 (b) -1.252 (c) -288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/120 - i**4\/48 - 7*i**2. Solve n(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14916*m**3 + 2376*m. Let o(t) = -2*t**3 - 9*t. Give a(d) + 264*o(d).\nAnswer: 14388*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 0 + 3)*(-j**2 + j - j) - 2*j + 2*j**2 + 2*j in the form w + a*j**2 + v*j and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 4. Let a be n(-13). Let k(h) = h**2 - 6*h - 27. Let w(m) = -2*m**2 + 13*m + 55. Let l(z) = a*k(z) + 4*w(z). What is the units digit of l(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (70\/(-49) + 3)\/((-3)\/(-231)). Let t = -6 - -8. Suppose -p + x = 4*h - 0*h, 231 = t*p - 3*h. What is the greatest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2902*d - 8346*d - 5*d**3 + 4*d**3 + 2538*d + 2906*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qerv when four letters picked without replacement from {e: 2, r: 9, v: 2, q: 1}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 37, 83, 159, 271, 425?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyyyypysyyys. What is prob of picking 2 y?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -41 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1661223244 and 5.\nAnswer: 8306116220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + 77 + -1 + (8 - 6).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:42 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-7) - 4\/(-14). Suppose -4*f - 4 = -0*h + 4*h, 5*h = -4*f - s. Are h and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3\/2 - 561669*t**2\/2 - 30327939*t\/2 - 409417335\/2 = 0.\nAnswer: -561615, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-144)\/768 + 12785908\/(-64). What is k rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 11 - 3*h**2 + 5*h**2 + 5*h**2 - 4*h + 6*h in the form g*h**2 + o + x*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*u + 20064 + 12663 = 206*u + 9267 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(4 + (-11 - -4)). Put -14, 0, -1, s in increasing order.\nAnswer: -14, s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b - 5. Let q(z) = 11*z + 6. Give 4*h(c) + 3*q(c).\nAnswer: -7*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22291*c = -22403*c + 1792 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.774 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-28)*3\/15)\/(4016\/7028)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*d + 1. Solve -8 + 3 = d*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 200650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/120*(-27)\/2)\/(90*(-66)\/792).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n - 24*n - 22*n + 19*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/7 - 4950*t**2\/7 - 9914*t\/7 + 14862\/7 = 0.\nAnswer: -3, 1, 2477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from {y: 1, d: 2, t: 1, c: 1, n: 2, s: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-5*m + 2*m + 0*m)*(-290 - 5*m**2 + 282 - 20*m**2).\nAnswer: 150*m**3 + 48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 13*t + 810. Give j(-63).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*h + 4*z, -4 + 40 = 4*h + 5*z. Let o = -4 + h. Which is the closest to o? (a) 0.5 (b) 2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(10430623*i - 10430623*i + 1428*i**2) to the form t*i + k + x*i**2 and give x.\nAnswer: -2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2295 - -534\nAnswer: 2829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z**2 + 89*z - 3. What is the units digit of x(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 78 = -5*l - f, 0 = 3*l + f + 47. Is -16 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -0.06. Let w = g - -0.37. Let r = 0.2 - w. What is the closest to r in 0.1, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2 - 675. Let c(r) = -14*r. Calculate w(c(x)).\nAnswer: 980*x**2 - 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*v + 32, 0 = -w - v - 0*v. Let f(z) = z + 2*z + 2*z**2 - 2*z - 6*z - 1. What is the units digit of f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/11, 0.02, 4, -0.2, -0.5, -253, -7\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmzmmmmrzrmmmbmzrrm. What is prob of picking 3 z and 1 m?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 1\/5*x**3 - 3\/10*x**2 + 1\/10*x**4 - 4 - 2\/5*x. Find h, given that j(h) = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1935 divided by 1209.\nAnswer: -645\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -2\/3 (b) 553 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/14)\/((-10)\/(-35)). Suppose -3*i = q*i - 30. Suppose i = h - 5. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214 + -236. Let m = -26 - k. Let p = -3 - -3.1. Which is the third biggest value? (a) m (b) 1 (c) p (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18118880, 36237737, 54356594, 72475451, 90594308?\nAnswer: 108713165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308142888 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41520)\/(-300) - 102)*(-20)\/(-14)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-8))\/(y\/y**(-20\/7)*y) assuming y is positive.\nAnswer: y**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/252 + 42\/108*284\/3479\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(175).\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (19 + (-3 + 1 - 8) - 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + -9)\/(0 - 68\/(-16)) - -4. Factor 0*u + 0 - x*u**4 - 2\/17*u**5 - 2\/17*u**3 + 0*u**2.\nAnswer: -2*u**3*(u + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((2\/56)\/1)\/(11\/1782) and (1 + 84\/(-27))\/(-2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(0 + (5*sqrt(275))**2).\nAnswer: -27505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/3 - 26978281*i**2\/3 - 53956559*i\/3 - 26978279\/3 = 0. Calculate i.\nAnswer: -26978279, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7911*x - 213518. What is u(-27)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68611195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) 0.018 (c) 0.2 (d) 5.2 (e) 5 (f) -5 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 + 1?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**10\/75600 + s**9\/45360 + s**8\/90720 - s**5\/15 - 15*s**2. Let o(i) be the third derivative of x(i). Factor o(l).\nAnswer: 2*l**2*(3*l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 y, 1 b, and 1 h when four letters picked without replacement from {b: 1, y: 2, q: 1, j: 2, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1 + 12436850233*t**2 - 12436850234*t**2 - 1.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-416)*13)\/(-1*(-183)\/(-9))\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Let v be (-196)\/(-3) - b\/12. Suppose 2*h - 7*h + v = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5238084*n - 3110401?\nAnswer: 5238084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let k(w) = -114*w + 5. Let a(b) = 116*b - 4. Let h(i) = -5*a(i) - 4*k(i). What is h(z(x))?\nAnswer: -124*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 838 + -837. What is the hundreds digit of (-150)\/(-25) + y + -2 - -926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 8221655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-18) - 1\/(-2). Let m be -22 - -24 - (0 - 12\/(-5)). Put m, b, -4 in increasing order.\nAnswer: -4, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (54\/14)\/(-9)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*sqrt(272) + -2))**2 + (3*sqrt(136))\/sqrt(8) + (1 + sqrt(833) - sqrt(17))**2.\nAnswer: -81*sqrt(17) + 10409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 977 in -545, 0.5, 42, -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7710064 to the nearest ten thousand.\nAnswer: -7710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488 and 8385252?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 - 74. Let c = b + -363\/7. Calculate the common denominator of -50\/9 and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6210860 and 11216.\nAnswer: 2804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 15, 26, 53, 102, 179, 290, 441?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1014 and (-4668)\/(-60) - (5 - 104\/20)?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -1, -421185 in ascending order.\nAnswer: -421185, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 28. Suppose -18*y + 181 - 55 = 0. Let a(m) = 3 - 4*m + 7*m - y + s. Give a(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-1\/10)\/(s**(-2)\/s**(-9)) assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 18 = d - 5*a, 20 = -5*d + 2*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 823943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*120723290.\nAnswer: -362169870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 14 = 3*v. Let i be v + ((-2783)\/(-6) - 3\/(-18)). Suppose 5*p - 229 = i. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*s - 3*o - 5, -3*s - 3*o + 24 = 0. Suppose 0 = -s*y + 11*y. Solve c + 2*c = y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*y = 3296 - 11524 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3434103.\nAnswer: -2\/3434103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*o*r**3 + o*r**2 + 2282*o*r - 100*o - 1900*r**3 + 10*r**2 + 1 wrt r?\nAnswer: -216*o*r + 2*o - 11400*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 - (-3 - 0). Let j(m) = 8*m - 55. Let y be j(6). Let q(d) = 16*d - 25. Let s(t) = -9*t + 13. Let z(g) = y*s(g) - 4*q(g). Determine z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwiwpzzzwwiwwoz. Give prob of sequence zwop.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3.2. Let z = j - 2. Let o = 0.5 + -0.8. Which is the third smallest value? (a) o (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1551 divided by -141?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*b + 5*u - 77, 4*b + u - 40 = 0. Let s be 2\/b + 1256\/18. Suppose -3*x = 2*x - s. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i - 158. Let o be d(13). What is the units digit of -1 - (12\/7)\/(o\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -47. Let h be -3 + 15*n\/6. Solve h*i + 6 = 4*i - 2*w, -13 = -4*i + 5*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d - 40. Let l be (-45)\/d - (-3)\/(-2). Suppose 2*j = l*j - 23. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.4898985 rounded to one decimal place?\nAnswer: -79.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199037360, -199037355, -199037350, -199037345, -199037340?\nAnswer: -199037335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 2 - 6*i + 4*i - 12 as o*i + w and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*y, 0 = 2*x - 0*y + 2*y. List the prime factors of (x + 2)\/((-2)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4930 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 9 = -4*l - 14*k, -5*l - 2*k = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -30. Let n be 50*(g\/(-5) - -2). Let u be (-3 - n\/28)*-7. Solve o + 7 = 3*a + 2*a, -3*a = -u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/(-1*1)*(-65)\/130.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/2 - 6057165*u**2\/2 - 12114333*u\/2 - 6057167\/2 = 0. Calculate u.\nAnswer: -1, 6057167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -162171270 to the nearest 100000.\nAnswer: -162200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9541616 divided by 2.\nAnswer: -4770808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z + z)*(0*z**2 + 0*z**2 - z**3) - 1 - 2*z**4 + 1 + (-3 - z + 3)*(-4*z + 2*z**3 + 4*z).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ssssszsszsssszzssz.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36296\/79 or -460?\nAnswer: -36296\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*o**3*p + 5*o**2*p - o**2 + 9*o - 11*p - 1331 wrt o?\nAnswer: -21*o**2*p + 10*o*p - 2*o + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-1)\/3*2). Suppose -6*b + 2*b - 168 = 0. Let c be 80\/u*b\/(-35). What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 205\/12 + 65\/(-780).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5}. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 2. Let q = 9 - 4. Let g = q - 8. What is the lowest common multiple of l(g) and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j**3 + 4593*j**2 = 0.\nAnswer: -1531\/12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 5234161*f**2 + 5234157*f**2 - 10468310*f**2 + 13.\nAnswer: 8*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341, 658, 975, 1292?\nAnswer: 1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 2, d: 2, i: 1}. What is prob of picking 1 d and 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(342\/(-12))*(-3)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 102362759 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 25328.\nAnswer: 3875184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26482374, 26482375, 26482366, 26482341, 26482294, 26482219?\n\"Answer: -f**3 + f**2 + 5*f + 26482369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 + 3*s**2 + 4*s**2 in the form j*s**2 + p + l*s and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 64.03?\nAnswer: 64.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 958729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u - 0*u. Let f = 3 + u. Let v = 0 - f. Is -1 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 10:10 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y + 4*y - 3 + 4 - 5*y.\nAnswer: 20*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -48.28*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 91*j**2 - 22*j + 16. Let f(d) = -18*d**2 + 4*d - 3. Give 11*f(m) + 2*x(m).\nAnswer: -16*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228422 is divided by 20758?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 12 = -42. Suppose -3*t + v - 6*v + 22 = 0, 3*v = -3*t + 24. What is the highest common factor of t and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 12. Let m be y(-14). Let d(a) = a**2 + 1. What is d(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**4\/12 + 5*x**3\/3 - 7*x**2\/2 - 6*x. What is the lowest common multiple of k(-11) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = -32*f - 378. Put f, -4, 10 in decreasing order.\nAnswer: 10, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12463 is divided by 509.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*y - 27. Factor -9 + 28*m - 4*m**4 + 17*m**3 + 6*m**3 - y*m**3 + 1 - 36*m**2.\nAnswer: -4*(m - 2)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 24*z - 168 = 0. What is the lowest common multiple of 120 + 6 + z\/(-6) and 8?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2922237 and 1333.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*g + 43, 50 = 5*a - 2*g - 2*g. Let f = a + -8. Calculate the remainder when (-22)\/(1100\/30) + (-152)\/(-20) + 0 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -370 - -708 - 252 - (0 - 24)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425677 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/30 - 2*x**5\/15 - x**4\/6 - 9*x**2. Find c, given that i(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**2 + y - 7. Let n = -197 + 190. List the prime factors of z(n).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 1792910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -4. Let x = 4 + n. Let j = -0.041 - -2.041. Which is the nearest to x? (a) j (b) -2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 84 + 15 = 0. Let v = d - -50. Let h = -46 - v. Solve -7 = 4*z + 5*q, 5*z - h = -q - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-3) + 1)*1530\/(-75). Solve -5*a = -m + 77 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*p + 9*p - 2*p**2 + 1 + p**3 + 75*p - p - 36*p in the form n*p**3 + c*p + l + b*p**2 and give c.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 3. Let u be i(0). Let w = u - 5. Let c(b) = 19*b**2 - 1. Is 15 a factor of c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/(-20) - (6 - 270\/40) and (89\/4)\/(72\/(-8)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4)*-1*4. Let s be q\/(-12)*(0 - 0). Which is the biggest value? (a) -2\/13 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*f - 26 = 0, 2*x + 0*f + 2*f - 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37945.71 + -190410.551?\nAnswer: -152464.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 18*k**2 - 18*k + 10. Determine x(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -3 (b) 12\/1303 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 0 - 1\/40*z**6 - z**2 + 11\/60*z**5 + 0*z**4 + 0*z + 0*z**3. What is the third derivative of p(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480 = -1307*o + 1277*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -4 (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8*s**(-6)*(((s*s\/s**(-2\/9))\/s*s)\/s)\/s**8)**(-33) assuming s is positive.\nAnswer: s**(473\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-1 + -3))*(-327)\/218. Let j(v) = 5*v**3 - 3*v**2 - 3*v - 2. Let i(f) = 4*f**3 - 3*f**2 - 2*f - 1. Let k(t) = 6*i(t) - 5*j(t). Calculate k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2334 is divided by ((-114)\/13 - (-75)\/(-325)) + 50.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*i - 8 = -3*j, -5*j - 3*i = -8. Suppose 10 + 2 = -j*p. Let x(w) = -w + 1. Let a be x(p). What is the greatest common factor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/1)\/((-4)\/48*-4). Let r(g) = g**2 - g - 5. Let k be r(f). What is the closest to -1 in 1\/3, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/(-196))\/(36\/63)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.239 - -1.239. Let k = 0 - 0. What is the nearest to k in q, 0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 8*p - 2526*p**2 - 2531*p**2 + 5058*p**2.\nAnswer: p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 - 3)*(37*w - 21*w - 14*w + 75) + (1 - 1 + 2)*(3*w - 6*w + 4*w) to the form l*w + v and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = 5*q - l, -4*q - 5 = -3*l. Sort -8, 5, q in descending order.\nAnswer: 5, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86\/(-215) + 37*1\/(-170). Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12\/23, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11285 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*q**2 - 5*q + 8*q - q)*(1 + 6*q**2 - 1 + 2*q).\nAnswer: 78*q**4 + 38*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + 1cc88?\nAnswer: 1cc6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/13 (b) -0.1 (c) 0.0052 (d) -4\/7 (e) -23\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 20 = 7*q. Suppose j = -q*j. Solve -p - 8 = -2*y, -p = 2*y - j*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2787961533 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(208) - (sqrt(13) + (sqrt(208) - sqrt(13)) + -2)**2)*-4.\nAnswer: -3424 + 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iviq when four letters picked without replacement from {n: 1, y: 2, v: 1, q: 2, z: 1, i: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100310 (base 5) to base 2\nAnswer: -110010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f - 50*f = -150. Calculate the remainder when 267 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 5498160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4902 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44*(-3)\/(-30)*150\/6. Let n = j - 106. Let g(r) = -r**3 + 2*r**2 + 4*r. What is g(n)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*-4*(-1*(sqrt(200) + 2) - -4*(1 + sqrt(200) + sqrt(200)))*-2)**2.\nAnswer: 448000*sqrt(2) + 15686405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 + 1656*j**4\/7 + 21074*j**3\/7 + 31924*j**2\/7 + 7320*j\/7 - 5200\/7 = 0 for j.\nAnswer: -10, -1, 2\/7, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 96. Let u be (l - (-27)\/2)\/((-33)\/(-66)). Let k be (81\/u)\/((-3)\/7*-1). Solve 2*o = k*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 198*33\/297?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 2)*(-1 + 4). Let r = v + 19. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:58 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 132?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -57*a. Let g(p) = -38229*p + 3. Give g(b(c)).\nAnswer: 2179053*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, -0.4, -3, 0, -0.11, 2\/2909?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 divided by -1115?\nAnswer: 182\/1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 16*p**2 + 19*p + 3. Let s be w(14). Let c = 254 + s. Suppose 5*g = 2*y - c, 2*y - g - 171 = -4*g. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usikeie. What is prob of picking 1 s and 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 637324 divided by 137\nAnswer: 4652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 19*i + 127 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.07716 meters in kilometers?\nAnswer: 0.05407716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/4 - 4*g**2. Let q(v) = -5*v. Suppose 0 = -2*t + 3*k - 7, 0 = 3*t + 2*t - 4*k. Give t*q(a) - 3*s(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2759806*j*u**2 - 2*j*u + 15841336*j + 43*u**3 + 1 wrt u?\nAnswer: -5519612*j + 258*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009811 rounded to four decimal places?\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - y + 79 = 0, -2*d - d - 3*y + 48 = 0. Let t be 3 + -7 + 8 + d. Let v = t + -23. Solve -v*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 270\/34 + (-136)\/(-2312). What is the closest to 1\/11 in -5, x, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-6) + 46\/10. Let l = w + -8. Suppose l*z**2 - 3\/5 + 3\/5*z**3 - 3\/5*z = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n. Let q = 2045.39 + -2055.39. What is the smallest value in q, n, -3, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85778 at least -85778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 6:06 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjbjbjbbfjaffjbjbfb. Give prob of sequence fa.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (165*a**3 - 207*a**3 - 547*a**3)*(2 + 1 - 2) - 2*a**3 + a**3 + 2*a**3 in the form y + c*a**3 + t*a + s*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -64*x + 697. Is b(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5086 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 equal to -260218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2068864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3658*i**2 + 93*i + 64. Let q(a) = 2*a. Determine q(f(b)).\nAnswer: 7316*b**2 + 186*b + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**5 - 3*h**3 + 3*h**3)*(2 + 2 - 6) + 19 - 14*h**5 - 19.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3939 and 235854291.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, h: 3}. What is prob of sequence hwh?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 115 - 133 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -26*d**2. Let u(i) be the second derivative of 0*i**2 + 36*i - 1\/3*i**3 + 0. What is g(u(k))?\nAnswer: -104*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78950*0.2.\nAnswer: 15790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8464 - 76*t**3 + 126*t**3 + 180*t**2 - 52*t**3 - 3864*t.\nAnswer: -2*(t - 46)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000001111100 (base 2) in base 3?\nAnswer: 122000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 + -0.06. Let c = 0 + -2. Let v = 3 + c. What is the second biggest value in 0.3, v, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llzllzz. What is prob of picking 2 l and 1 z?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + (28 - -42) - (7 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/36*30\/(-35)*(-16731)\/(-858)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 5*y + 2*y)*(-625 + 625 + 33*y**3) + y**4 + 0*y**4 + 3*y**4.\nAnswer: -128*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose 10*m = 51*m - 123. Solve m*b = c - 11, p*c = 2*b + 3*b + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3 - 103*f**2 + 3650*f wrt f?\nAnswer: -6*f - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from nnllnn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11065802889 take away -2?\nAnswer: -11065802887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 1428.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 - 8*o**2 + 5*o. Determine y(3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236*x**2 - 228*x**2 - 186*x - 228*x**2 - 141*x**4 + 691*x**2 wrt x?\nAnswer: -1692*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Suppose -l = 5*s + c + 5, 4*s = 4*c - 20. Is -4\/3 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c + 30. Let y be p(-10). Let x(k) be the first derivative of -k**3\/3 + 11*k**2\/2 + 19*k - 18. Let j be x(12). Solve -i + 2 - j = y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011100001011001101 - 10110010?\nAnswer: -10111011100001101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a + 8. Suppose -5*c + 10 = 4*q - q, -5*c + 10 = 5*q. Suppose -c*m = 4*o + 18, 2 = -5*m - 3*o - 15. Sort -6, a, m in descending order.\nAnswer: m, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001258060275 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, 4\/3, 1\/5, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1243894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 29543 - 29543.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 3\/10*a**5 + 1\/4*a**4 - 4*a + 5 + 0*a**3 + 1\/10*a**6 + 0*a**2. Let m(u) be the first derivative of i(u). Factor m(z).\nAnswer: 3*z**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 - 532*x**2\/3 + 6118*x\/3 - 5588\/3.\nAnswer: 2*(x - 254)*(x - 11)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 k when four letters picked without replacement from {k: 8, i: 3, d: 7}?\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21 and -117\/1420?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1\/3, 0, 0.2 in increasing order.\nAnswer: -14, 0, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = -4. Suppose -2*t = 2*c - h*c - 104, 2*t = -c + 129. Suppose 5*l - 3*w = -0*w + t, 4*w + 16 = 0. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(4*p + 2*p - 4*p) + 3*p - 5*p - 7*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 746 - 1802 = -12*r. Suppose 83*j - r*j = -8895. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*r + 29 - 69. Solve -5 = 3*y + r*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdd when three letters picked without replacement from gpddppgd.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-147)*(-761705)\/24872.\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05793 and -12757.\nAnswer: -739.01301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/54 + 266*h**3\/27 + 17689*h**2\/9 + 144*h + 11. Determine k so that g(k) = 0.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-312)\/39)\/(1*-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + k + 0)*(0*k**3 - 4*k**3 + 3*k**3) + k**3 - k**3 - k**4)*(19 + 0 + 15)*(3 - 6 + 5) in the form b*k**2 + g*k + q + x*k**4 + y*k**3 and give x.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405615941 to the nearest integer?\nAnswer: 20140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilcm when four letters picked without replacement from lcmiiil?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6207*y + 6204*y + z = -10, 0 = -5*y + z + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, -137, -12340.\nAnswer: -12340, -137, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1825 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgbg when four letters picked without replacement from {b: 4, g: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 13 - 1 = 0. Suppose x*v + 9 = 5*a - 6, 0 = 5*a + 5*v - 15. What is the third derivative of 2*u**3 + 5*u**2 - 3*u**3 + 2*u**a wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 6*o**2 + 5*o + 3. Let z be h(5). What is the tens digit of 237\/(6\/2) - z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 22\/57 (b) -0.1 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21112211222221 (base 3) to base 4\nAnswer: -33103211332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + p**2)*(-p + 0 + 0) - p**3 + p**3 + 2*p**3 - 16*p**3 - 16*p**3 + 6*p**3 to t*p**2 + a*p**3 + n*p + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3285229349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25174783 divided by 6?\nAnswer: -25174783\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 2*g + 2636, g + 1066 = -2*k + 6*g. Let j = k - -528. Solve 4*f + 2*d = 2 - j, 5*f - 30 = 3*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = h - 2, 5 = 69043*w - 69044*w + h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x**2 + 5951*x + 220540. Give p(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/(-20) - (-90)\/150.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (1 + sqrt(1872))) + -2)**2.\nAnswer: 66*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6*j + 9. Suppose -j*n - 174 = -3*m, -5*n = -2*m - 207 + 509. Let p = n - -66. Calculate the remainder when 10 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*s - 154 = -90, -4*s - 22 = -2*d. Solve 28 = 21*h - d*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 6, -143 in descending order.\nAnswer: 6, 0.1, 0, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2*o + 1391*d**2 + 7496*d*o + 12184*d + 146*o wrt o?\nAnswer: -d**2 + 7496*d + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*r + 79 - 438 - 168 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002503597 rounded to 5 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 511714 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10))\/(12\/(-30)). Solve r + 2*i - 4 = 5*r, 4*r = p*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*h**2 - 39*h**2 - 2*h + 128*h**2)*(-h**3 + 0*h**3 + 3*h**3).\nAnswer: 142*h**5 - 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -56. Which is the third smallest value? (a) s (b) -2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - -1) - (-4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.360423 nanograms to milligrams.\nAnswer: 0.000008360423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31192 is divided by 6743.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 673*o - 829*o + 4212 = 0 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 28050.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-20))\/((45\/42)\/(-5)). Let s(u) = -u**2 + 12*u - 24. Let a be s(m). Which is greater: 13 or a?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -67, -4, 0, -22 in descending order.\nAnswer: 0, -3, -4, -22, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 1082*f**3\/3 - 9*f**2\/2 + 11*f + 196. What is the second derivative of q(m) wrt m?\nAnswer: 2164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -31, -17, 15, 71, 157?\n\"Answer: b**3 - 5*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5668)\/(-242515)*7 - (72\/78)\/6?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 951 = 1821 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r - 8*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -88. Let c(i) be the third derivative of 0*i + 0*i**5 + 2\/3*i**3 + 0*i**6 - 1\/21*i**7 + 6*i**2 + 0 + 0*i**m. Differentiate c(u) with respect to u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 2:23 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:56 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9960615 divided by 1422945?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 64 = 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/8)\/d)\/d**(-2\/3)*(d\/(d*d\/(d\/(d\/(d*d**(-7))*d))))\/d*((d**(-4)\/d)\/d)\/d*d assuming d is positive.\nAnswer: d**(-371\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 37. Suppose 0*i - 5*i = 3*j - 37, 4*i - 28 = -b*j. Suppose l = -i*l + 63. Calculate the smallest common multiple of 23 and l.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) -0.4 (c) -4\/5 (d) -4\/113 (e) -2\/25 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**2 + 4*h + 3. Calculate t(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10758, -42905, -96492, -171525, -268010, -385953?\nAnswer: -525360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/((-9)\/(-24)). Solve h*n - 1 = 3, -5 = -2*i - 3*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 786 = 2*f, -2*f - 5*z - 45 + 829 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1096 and 971944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (294\/4)\/((-7689)\/5126)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 150, 132, 96, 36?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 840695*k**2*q + 346*k*q - 289*k wrt k.\nAnswer: 1681390*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -17354 + 17354 + 5900*a as o*a + y and give o.\nAnswer: 5900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3062031?\nAnswer: 3, 7, 139, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 4*w - 4. Let b be d(-3). Let r be (1 + 34337 - b) + -2. Let h = -97337 + r. Round h to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in -90, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3)\/c)\/(c\/c**(2\/7)))\/((c\/((c*c\/(c**(1\/4)\/c*c))\/c))\/c**(-2\/5)) assuming c is positive.\nAnswer: c**(-611\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.60394 minutes to hours.\nAnswer: 4.393399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = i + 23, 0 = 2*i + d + 52. Let q(r) = 34*r - 1191. Let b be q(36). Let v = b + i. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83895 and 1504?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3943878 = n, 4*o + 5*n = 11639981 + 4135522. Suppose -41*c - o = -475277. Round c to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -2 (b) 0.5 (c) 2 (d) 0.1064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/3 of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 349 = -93 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 43 + 15 + 5*l - l.\nAnswer: 2*l + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/29, 17237, -1?\nAnswer: 17237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -16. Calculate the remainder when 30 - (0 - -3) - (1 + 1) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/18)\/(28\/(-112)). Which is the third smallest value? (a) -0.079 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10223, 20435, 30647, 40859, 51071, 61283?\nAnswer: 71495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19195029?\nAnswer: 3, 7, 101561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -1277*i**9\/504 - 1129*i**5\/20 + i**2 - 53. Find the third derivative of a(m) wrt m.\nAnswer: -153240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9) - (sqrt(900) - sqrt(9))*1).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22578?\nAnswer: 2, 3, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Let c = -4 + 4. Suppose -5*f = 5*s + 10, c*s + 5*s = f + 2. Solve s = -6*w + w + l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 389863583 and 389863587 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + t - 3 = 0, 3*t - 30 = -4*j - 21 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1134 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m + 6 = 0. Let v = -1 - m. What is the first derivative of 0 + v*a**2 + 1 + 1 wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.17.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 - -11 - (1 - -117). Let z = -118 - g. What is the nearest to z in -0.21, -3\/5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2484)\/32 - -10 - -13 - (-63)\/(-168).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244824771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36965, 36971, 36977, 36983?\nAnswer: 36989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150900142 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + 2.4. Let u = -4 - -11. Let x = 6 - u. What is the biggest value in z, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3753 (base 12) in base 8?\nAnswer: 14157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303480 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 117*i + 2449. Let t be j(-21). Put 2, -5, -57, -3, t in ascending order.\nAnswer: -57, t, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323672011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, -0.092 in decreasing order.\nAnswer: 0.2, -0.092, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w + 15*w**2 + 0 - 1\/4*w**5 - 1\/8*w**4 + 0*w**3. Find the second derivative of a(j) wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z - 47*z - 630 = 0. Suppose -z*a + 619956 = -27*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r - 15. Let f be p(2). Let y(t) = -t**2 + 14*t - 11. Let n be y(f). Let k = 735 - 393. Calculate the greatest common divisor of k and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v + 31*v = -s - 9, 0 = 98*s - 100*s + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-4*sqrt(84))\/sqrt(6))\/(sqrt(175) - (sqrt(175) - 4*sqrt(175))) + -4).\nAnswer: sqrt(2)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 20223?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 1\/280*k**7 + 0*k**6 + 0*k**4 + 0*k**3 + 0*k - 2*k**2 - 1\/80*k**5 + 0. Factor m(g).\nAnswer: 3*g**2*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + d + 1. Let j(x) be the third derivative of x**5\/15 + 5*x**4\/24 + 5*x**3\/6 - 2*x**2 - 2*x. Let t = 3 - 8. Determine t*a(r) + j(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3532103 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**7\/7 - 2*h**6\/15 - h**5\/10 + 8*h - 6. Let o(m) be the first derivative of f(m). What is y in o(y) = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.364?\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2. Let u(c) be the first derivative of -7*c**4\/12 + 13*c + 8. Let q(g) be the first derivative of u(g). Determine q(o(n)).\nAnswer: -175*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3 - 68*y**2 - 36*y + 612 = 0.\nAnswer: -3, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159280 is divided by 39689.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -137906, -137812, -137656, -137438, -137158, -136816, -136412?\n\"Answer: 31*m**2 + m - 137938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011136 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3907912073 + -0.39.\nAnswer: 3907912072.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -280.99397 - -281. Round z to four dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/6))\/(g\/(g**(-6)*g)))**(-1)*(g**0)**(-1\/67)\/(g\/g**0)**17 assuming g is positive.\nAnswer: g**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/2)*v)\/v)\/v)**20*(v\/(v*v**(-1)*v*v))**(-30) assuming v is positive.\nAnswer: v**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 7. Let v be f(3). Suppose v*b - 8*b - 4*b = 0. Solve -12 = q - 4*i, 4*i - 4 - 4 = b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -215150.7.\nAnswer: -215148.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214352796?\nAnswer: 2, 3, 7, 17, 150107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-8)\/(-440))*(-21)\/(-35).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.82. What is m rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1183 + 3739\/3. Suppose 0 = 13*t - 11*t - 90. Let n = i - t. What is the common denominator of n and 131\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3234)\/(-28)*(7 - 5). Let z = b - 207. What is the remainder when 308 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:22 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 2523*y**2\/2 - 186575*y\/2 + 1475541\/2.\nAnswer: -(y - 2447)*(y - 67)*(y - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 4*n - 2. Suppose 2*t - 10 = 2*m, -4*m = m + 5. Let u(h) = h**2 + 3*h + 2. Let r(c) = t*u(c) + 3*q(c). Calculate r(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 3, l: 1}. What is prob of sequence olc?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*b + 18 = 0, 2*w + 3*b + 116 = 98. Solve -2*m + 4 = w, -1 = -5*p - m + 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 72\/5 (b) -16\/17 (c) 0.5 (d) 3\/4 (e) 232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 79 - 23)*(-2*c**4 + 0 + 0) in the form s*c**2 + j*c**4 + h*c + o + f*c**3 and give j.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2. Let a(t) = 9*t + 5. Let c(o) = -13*o - 8. Suppose -26 = -5*g + l, 3 = 2*g - g + 2*l. Let q(j) = g*c(j) + 8*a(j). Calculate q(h(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142205, -284382, -426559, -568736?\nAnswer: -710913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -5*c - 19, -16*k + 13*k = c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 5*h**2 + 4*h - 3. Calculate c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073685?\nAnswer: 3, 5, 31, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5 + 17. Calculate the remainder when 5 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -25*i**4 + 2*i**3 + 2*i**2 + 2*i - 240. Let m(j) = j**4 - j**3 - j**2 - j - 1. Let h(p) = -2*c(p) - 4*m(p). Differentiate h(o) wrt o.\nAnswer: 184*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 44*f**2 - 283*f. Let v(y) = 4*y**3 - 177*y**2 + 1131*y. Let z(g) = -22*m(g) - 6*v(g). Suppose z(j) = 0. Calculate j.\nAnswer: 0, 7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 173 - 56*z - 3*z**2 - 5*z - 89*z - 20.\nAnswer: -3*(z - 1)*(z + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y - 83*y + 31*y + 752 = 0. Solve 18*w = y*w - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t + 27. Let i be a(-3). Suppose 4*c - 5*l = -i*l + 40, 6 = 2*l. Determine n so that -3*n + 242 + 7*n**2 - 5*n**2 + c*n + 40*n = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**3 + 2*b**2 - b. Let t be (-2 - -3)*1*-3. Let s(o) = -6*o**3 + 2*o**2 - o. Let j(h) = t*s(h) + 4*q(h). What is j(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 102 = 7*c. Suppose -c*v + 22*v = -268. What are the prime factors of v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsv when three letters picked without replacement from {b: 3, v: 4, r: 2, j: 1, s: 3, n: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*v = 93, -4 = 2*v - 10. Calculate the smallest common multiple of p and 4.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164449897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 47*d + 42*d - 20, 2*h - 5*d - 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53134010399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, and 1 j when three letters picked without replacement from txtjxbqqc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2024972, -2024975, -2024978, -2024981?\n\"Answer: -3*j - 2024969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 351664?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -b - 3. Let d be 77\/b - (-2)\/(-5). Calculate the lowest common multiple of 3 and (-1)\/(27\/d + -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 6, p: 3, b: 1, c: 1}. Give prob of picking 1 p and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -4*p - 40. Let v be 34\/p - 8\/20. Factor -2*c**3 - c**4 - c**2 + 0*c**v + 0*c**3.\nAnswer: -c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-20))\/2*(400\/12)\/(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(-2\/19))\/d*d)**(-41)*(d**(-12\/7)\/d)**(-2\/11) assuming d is positive.\nAnswer: d**(-125558\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 8*n**2 + 2*n + 12. Suppose -5*x + 5 = -j - 8, 0 = -5*j - x - 39. Let q be p(j). Let y(w) = 0*w + 3*w + 5 + w. Calculate y(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 2 + (-1 - -5). Suppose 3*x + 2*x - c*g = -37, -3*x = 5*g. Let v be -10 + 23 + 40\/((-15)\/3). Put v, x, -6 in decreasing order.\nAnswer: v, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -5*a - 20*z + 352105, 352111 = 5*a + 2*z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 202*h**2 + 174*h**2 - 374*h**2. Let o = 0 + 3. Let b(q) = 2*q + 2*q + o*q. Determine x(b(y)).\nAnswer: 98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*p**3*w**3 - 20*p**3 + 6*p*w**3 - 1150*w**3 wrt p?\nAnswer: 9*p**2*w**3 - 60*p**2 + 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340993 is divided by 10999?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 200683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -29 times -0.05285\nAnswer: 1.53265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/324 and -121\/72.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39026 and 228?\nAnswer: 234156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 + 119. Let x(z) = 34*z + 18*z + z**2 - b - 53*z. Let v(l) = 4*l**2 - 3*l - 3. What is -v(k) + 5*x(k)?\nAnswer: k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from xnxxxxxxxnxnxx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*k - 4, q = 2*k - k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 40 = -47*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 31246*t + 17. Let q = -12 - -20. Let s be z(q). Suppose w + 50015 = -s. Round w to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1608*u**2 + 105*u**3 + 346*u**4 - 57*u**3 + 0 - 50*u**3 + 0 wrt u?\nAnswer: 8304*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 2*z - 5*z**2 - 47*z**3 + 49*z**3 + 2*z to the form p + m*z**2 + w*z**3 + i*z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - f. Let r(a) be the first derivative of -26*a**3\/3 + 442. Give d(r(k)).\nAnswer: 1352*k**4 + 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 135.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27704 times 0.68?\nAnswer: 18838.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 30*w - 1. Let l be f(-2). Let k = -58 - l. Suppose -2*d - 4*h + 130 = 0, 0 = k*d + d - 5*h - 195. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/3)\/((-14)\/3 + 4). Solve 20 = -n*s + s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-2)*j)\/j*j))\/j)**28\/((j\/(j\/(j*j**(-1\/2)\/j*j)))\/j*j)**(-13) assuming j is positive.\nAnswer: j**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*-30*(102\/6)\/(-255).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1090 - 2686 = -6*t. Suppose 6*k - 35 = 193. Calculate the highest common divisor of t and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3. Suppose 3*n + 3*s + 2*s = 3570, -2*n + 2399 = -l*s. Suppose 3*d + y - 716 = 0, -4*d = 2*y + 237 - n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887*m + 1582*m - 790*m.\nAnswer: -95*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54557, -109109, -163661, -218213, -272765, -327317?\n\"Answer: -54552*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100697, -100694, -100687, -100676, -100661, -100642?\nAnswer: -100619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g - 18. Let p be t(-5). Suppose -v + s = -2, 3*v + 4*s - 14 = 3*s. Suppose -p*u + 8 = -v*u, -3*l + 5*u = -2957. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-39))\/(-7) + (-1064)\/10127?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t\/(t*t**1))\/t*t*t)\/t*t)\/t)**21\/(t*t*t**(-4)*t\/(t\/(t**(-5)\/t))))**(-32))**14 assuming t is positive.\nAnswer: t**5824","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3677 - 3676.57. Sort -1, u, -0.3, 17 in descending order.\nAnswer: 17, u, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - x**3 + 18*x**2 + 25 - 25 + 0*x - 42. Let l(q) = q**3 - 17*q**2 + q + 42. Let p(s) = -5*b(s) - 6*l(s). What are the prime factors of p(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-3))\/(2\/(-3)). Let r be ((-141)\/705)\/(1\/(-5)). Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnn when three letters picked without replacement from nnnnnwwnnnnnnnwwnnnn.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 120, -6, 3.\nAnswer: -6, -4, -1, 3, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -119 (c) -1 (d) 0.39 (e) 132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -2*q + 20. Let j(m) be the first derivative of -5*m**q + 9*m**2 - 3 + 15. Let p(s) = 3*s**2. Determine p(j(d)).\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 50.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-143) - (0 - 1668\/22). Let k = h + -25. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(209) + (sqrt(209) - -2*sqrt(209)) + sqrt(209))\/sqrt(11)*-4.\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113.99 - 114. Let i = q + -0.19. Sort i, -5, -2\/17 in increasing order.\nAnswer: -5, i, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:14 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**3 - 202*q**2 - 52*q - 31. Let n be g(-25). Let w(c) = -c**3 + 20*c**2 - 22*c + 4. Determine w(n).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63.968 - 0.032. Let z = 23936 + -23936.2. Which is the second smallest value? (a) v (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 0*g + 2*g + (-1 - 1 + 0)*(g + 2*g - 4*g) + 0*g + g + g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 890679*j**2 + 1781367*j + 890685.\nAnswer: -3*(j - 296895)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * 1.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let y = v + -7\/9. What is the second biggest value in -2, y, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100200 + -21022112001?\nAnswer: -21022011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6*v - 3. Let g be (-9)\/(-18)*v*12. Let y(p) = -3*p**2 - 6*p**3 + 2 - g + 7*p**3 + 1. Calculate y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + (-4 - -1) - -2 - -25\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (3 - 1 - 3). Let b be ((-3)\/(-9))\/((-1)\/x). Let c = 7 + b. What is the remainder when 15 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980923277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 1566, -7 in descending order.\nAnswer: 1566, -7, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 9*g**2 + 15*g - 8. Calculate the remainder when t(-11) is divided by 2\/3*7\/(21\/108).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.147, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1734 in -2\/361, -0.1, -2\/111?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 - 307 - 23*h**2.\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9434128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**3 - 59*g + g**2 + 59*g - 2 to the form q + b*g**2 + m*g**3 + z*g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 5*w**2 + 4*w - 4. Let r be q(5). Suppose 5*v - 6*v - r = -3*i, 5*i + 3*v = 22. Sort i, 3, 4 in decreasing order.\nAnswer: i, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 725 by 6.\nAnswer: 725\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) -1.4 (c) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 16. Let p(w) = 2*w**2 - 10*w - 6. Let t(a) = -5*a**2 + 21*a + 12. Let f(i) = 7*p(i) + 3*t(i). Let l be f(g). Let y(h) = h + 1. Give y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*y + 24. Solve -2*o = 4*j - 3*o - 6, -3*o = -y*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y**2 - 5. Let j(x) = 33*x**2 - 11. Let b(k) = -13*g(k) + 6*j(k). Differentiate b(q) with respect to q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(1\/12))*p*p*p\/(p*p*p**(2\/5)*p))**49 assuming p is positive.\nAnswer: p**(1519\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/6 + 77*x**2\/3 + 1136*x\/3 + 1472.\nAnswer: (x + 8)**2*(x + 138)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -97422*i - 8. What is d(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5176 is divided by 157.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 21.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 4*s + 2. Suppose -2*a - 8 = o, -2*a + a - 5 = 0. Suppose -9 = -m + q - o*q, -19 = -3*m - q. Let i be (-72)\/20 + (-2)\/m. Calculate z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**17\/r**(-1\/2))**(8\/5) assuming r is positive.\nAnswer: r**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30263\/28 + 1081. Let v be (-1)\/(-7)*1\/2. Let u = v + q. Which is the closest to u? (a) 5 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 152*y**3 + 34*y - 355. Let x be 1*(-3)\/(-3) - 7. Let t(m) = 51*m**3 + 12*m - 119. Let l(z) = x*d(z) + 17*t(z). Differentiate l(o) wrt o.\nAnswer: -135*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 31*f - 8. Let r be v(10). Let p = -202 + r. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 38 - -2*(1 - 2). Let g = m - 34. Solve k = -0*k - 3, -2*u - 2*k - g = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 263 = -38. Suppose a + 4*a - f = 0. Which is bigger: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1451.299.\nAnswer: 5805.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -1 (c) 7 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l + 421 = 1063 - 427 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 1, 0.1, 9, 0.204?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/54 - -23\/54. Which is the closest to 15? (a) 1 (b) -0.4 (c) -0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.27 - -0.03. Let j = s + -1.2. Which is the smallest value? (a) 2 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**3)\/w*w)**(-27\/2) assuming w is positive.\nAnswer: w**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 202\/57?\nAnswer: 202\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074 is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -90. Let o = -18 - x. Let z = 24 + o. Solve -4*c + 3 = 4*n + 15, -4*n + c - z = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4 = -c, 4*a + c + 170 - 342 = -2*c - 178 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10994 + 3272. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -1\/2, -489\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*h**3 - 55*h**3 - 54*h**3 - 45*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9816 + 9816 + 37*o)*(o**2 + o**2 + 0*o**2)*(-4 - 6 + 1).\nAnswer: -666*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 27 = -261. Solve 4*b = u*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -692 + -19?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*b + 9 + 2, o + 7 = -4*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -0.4. Let o = c + 1. Let u = 0.5 - 0.3. Put o, -5, u in ascending order.\nAnswer: -5, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 416108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 1. Let c(z) = 12*z - 34. Let a(v) = -c(v) - 6*g(v). Let n be a(4). Suppose n*l - 1358 = -10*l. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-20)\/4 + (1 - 3). Let t(r) = r**3 + 2*r**2 - 7*r - 1. What is the remainder when 21 is divided by t(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5850245 and -2.\nAnswer: 1.170049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b + 11. Let c(u) = -9*u - 23. Let j(p) = 4*c(p) + 7*n(p). Give j(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - 29ce93?\nAnswer: -29ce88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5566503, -5566474, -5566447, -5566422, -5566399?\n\"Answer: -b**2 + 32*b - 5566534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 26*y - 11. Let p(s) = 21*s - 9. Let n(w) = -4*m(w) + 5*p(w). Let q be 0 + 3\/(-1) + -1. Let i(a) = -9*a + 5. What is q*n(f) - i(f)?\nAnswer: 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 6*f - 899*f - 607*f + 173*f + (3 - 3 + 2*f)*(2 - 1 - 2))*(f + 2*f**2 - f).\nAnswer: -2658*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -48. Solve 3*l + a - k = 3*a, l - 3 = -a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85 and 140.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) 2 (b) 0 (c) -343\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355401 and 2403.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - m = 2, c + 3*m = -3 + 17. Determine l, given that -67*l**2 - 2*l**c + 0*l**4 + l**5 + 7*l**3 - 2*l**4 + 63*l**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11616 divided by 24\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 20 = -0*j. Let f be -1*(j - 1) + -2. Suppose 4*r = 6*p - 3*p - 45, 5*r + 59 = f*p. Calculate the greatest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from ggfnfeegfnnfgfqqfffd?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163356 and 66.\nAnswer: 1796916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25040 + 120112 = 21*w. Suppose 10*i - 37*i = -w. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 5*b + 6. Determine t(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/120 and -173\/2887200.\nAnswer: 2887200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 17*r**2 + 11*r - 20. What are the prime factors of u(-16)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m - 1. Let f(a) = -4*a**2 - 68*a - 63. Let s be f(-16). Let r(c) = -c**3 + 2*c**2 - 4*c - 1. Calculate s*r(v) - b(v).\nAnswer: -v**3 + v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*m - 32, -l + 42 = 3*m. Solve 0 = l*q - 33*q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h - 4*d + 4 = 42*h, 3*h + 20 = -2*d. Let i(o) = 7*o**2 + 7*o + 6. Let x(w) = 5*w**2 + 6*w + 5. Let y(n) = 3*i(n) - 4*x(n). Calculate y(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8440 + 11*k**2 - 8440.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-21)\/(-6) + 2). Let o = -19 - -13. Let d = y - o. Sort d, -1, 4 in descending order.\nAnswer: 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 7 = 13*l. Is 1\/851 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:11 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnonannnovnnnvnvoa. Give prob of sequence aono.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.4367 - -0.1967. Which is the third biggest value? (a) 4 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 2*v**2 - 2*v + 613. Let o = -52 - -52. Is r(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7346676 or -7346644?\nAnswer: -7346644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 34*z + 8 = 0, -z + 8 = -5*w. Suppose -5*h + 1 = -9. Sort h, -5, w in ascending order.\nAnswer: -5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*h - 2*n - 4, 5*n + 4 = 2*h. Suppose -5*v - h = -i, -5*v + 4 = i + i. Suppose -t - 1 = 1. Put v, 5, t in decreasing order.\nAnswer: 5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.530657ns?\nAnswer: 0.000006530657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 10 - 7. Solve 5*u = -0*u - 5, 4*m - x*u - 19 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 25*r - r + 34*r. Let k(t) = -2*t**2. What is k(h(q))?\nAnswer: -242*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047967760 to the power of 1\/2, to the nearest integer?\nAnswer: 32372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -16, 2*q = q + 3*b - 9389. Suppose -5 = -t - t - w, 5*t - 3*w + 4 = 0. Let z be (-3 - -13)*(t + q). What is z rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2744*w**2 - 120*w - 373. Is r(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:28 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -2*r**3 + 5531. Let d(p) = 53*p**2 + 2. Calculate d(h(a)).\nAnswer: 1908*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-88208)\/96)\/((-1)\/6)?\nAnswer: 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 47*x**5\/10 - x**3\/6 - 756*x**2 - 3*x - 430. Find the first derivative of h(y) wrt y.\nAnswer: 282*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 54?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 4*s + 6188 = -11*a, -s - 1 = 0. Suppose -4905 = -a*l + 1537*l. Calculate the remainder when l is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/260849 and -58\/48257065?\nAnswer: 48257065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**3 - z**2 - z. Let o = 3 - 2. Let w(k) be the first derivative of -1\/4*k**4 - 4 + 1\/3*k**3 + 0*k + 0*k**2. Give o*j(r) + 3*w(r).\nAnswer: r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 7657.\nAnswer: 849927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = -16. Suppose 71576 = x*f - 44512. Let y = f + -46622. Round y to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 9 - 9 + (-1 + 3 - 3)*(0 - y + 0))*(1 + 1 - 3 + (4 - 2 + 0)*(0 + 3 - 2) - 4 + 2 + 0 - 2 - 2 + 2 + (4 - 3 + 1)*(-5 + 4 - 1) - 5 + 7 + 4).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57954 (base 12) to base 14.\nAnswer: -3098c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 5*m**2 + m + 3. Does 6 divide s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 + -8)*(-10)\/6 - -107.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110)*-3 + sqrt(110) + sqrt(110) + -6*(1*sqrt(110) + sqrt(110)))\/(2*sqrt(1440)*3).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c. Let f(x) = 12*x**2 - 1. What is u(f(s))?\nAnswer: 120*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6033989*r - 13879983 wrt r?\nAnswer: -6033989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*f = 3*j - 14, 5*j + f = 0. Put -18, 5, j, -9 in descending order.\nAnswer: 5, j, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/30 + 8*i**3\/3 + 17*i**2. Differentiate w(v) with respect to v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1) - (3 + -172). Suppose 8 = z - t. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let j(y) = -116157596*y**2. Give t(j(m)).\nAnswer: -116157596*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144 + 5 - 62)*(2*j - 2*j + 2 + 2*j**2).\nAnswer: -402*j**2 - 402","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 81009 = -333476. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -16) + 22 + -23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 790004 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -6*q - 4. Suppose q*g = 0, 3*m + 4*g - g = 633. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007486 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 2*o + 6. Calculate u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/3 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, -69, -189?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m. Let o(q) = 0*q + 3*q - 7*q. What is u(o(y))?\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 + 10263?\nAnswer: 10226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 305.7019773 + 0.2981757. Let a = s + -306. Round a to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2117, -2120, -2123, -2126, -2129, -2132?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r**2 + 7*r**2 - 4 - 2*r + 4. Is f(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1804, -1, 146, -2\/15 in decreasing order.\nAnswer: 146, -2\/15, -1, -1804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-17)*((s**(1\/2)\/s*s)\/s)**(-32) assuming s is positive.\nAnswer: s**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1300) - sqrt(1300) - (-1 + sqrt(26)\/sqrt(2))) + sqrt(468)*-1*5.\nAnswer: -31*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4\/5, -4\/7, -0.01, 26.9 in ascending order.\nAnswer: -4\/7, -0.01, 1\/5, 4\/5, 26.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 19. Let b be -1 + l*(-268)\/(-12). Let m be b\/9 - 5\/15. Solve -2*a = 3*n - m, 0 - 1 = 5*n - 3*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.856*-2.81.\nAnswer: -5.21536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -38. Let n = 50 + i. Calculate the lowest common multiple of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1416 and 27\/1180.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 2*h**2 + 5*h - 2. Let u(g) = 188 + 179 - 389 - 6*g. Let d be u(-3). Determine v(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*u - 20 = 0, 863*v - 36 = 867*v + 5*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047929 * 0.035.\nAnswer: -0.001677515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -138, -10, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15759797293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12100 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10398592, 10398598, 10398604, 10398610, 10398616?\n\"Answer: 6*g + 10398586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (-2 - 2 - -18) + -7 + -4?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 8*n**2 - 8*n + 7. Let f be l(7). Let o = f - -2. Suppose -o + 26 = 2*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/128 and -49\/44.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/60 - h**4\/6 - 7*h**3\/3 - 189*h**2. Determine c(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w - 30489. Let l = w - -4563. Round l to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 698 divide 325517884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x**(-14\/9)\/x)\/x))**(-35) assuming x is positive.\nAnswer: x**(-1120\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1277, -5118, -11525, -20498, -32037, -46142?\nAnswer: -62813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1828.4 * -5\nAnswer: -9142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8 + 8. Let t(g) be the first derivative of 1 - 2\/3*g**3 + 0*g**4 - 2\/5*g**5 + m*g + 0*g**2. What is the third derivative of t(a) wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*a + 7894 = 2*k - 82*a, -5*a = 25. What are the prime factors of k?\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = g. Let n be 3 + g + 2\/1. Solve -n*s = 3 + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 5, -4, 1\/6, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.1. Let a = 2\/7 + 32\/35. Let l = -2 + 1.8. What is the nearest to g in -2, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 175*d**2 + 7*d - 37. Let r be q(9). Let j = r - 77501. Round j to the nearest 1000.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.654 + -0.054. Put 4, x, -0.3, -3\/5 in descending order.\nAnswer: 4, x, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 5*q**2 - 4*q + 3. Let f be i(4). Which is the closest to f? (a) -5 (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8214929 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.656 + -0.046. Let p = j + -54.61. Sort p, 3\/5, 1\/3 in ascending order.\nAnswer: p, 1\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/5 + 0 - (-4)\/20. Let -286*o**v + o**3 + 301*o**2 - 5*o**4 + 4*o**3 + 10 - 25*o = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 435*p + 29. Let h(q) = 523*q + 28. Let x(i) = -6*b(i) + 5*h(i). Give x(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.4 - 0.4. Let l = 61 + -59. Which is the closest to 2\/7? (a) r (b) l (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -44193915 divided by 5?\nAnswer: -8838783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -1\/6*m**4 + 0*m**3 + 0 - m + 3\/2*m**2. Let a = -566 - -571. Let x(w) = -2*w**2 + 4. Determine a*y(r) - 4*x(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10924*p**5 - 17*p**3 + 153390*p**2 - 5.\nAnswer: -655440*p**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 - 67. Suppose 15*a = -89 - 1. Calculate the common denominator of (-237)\/y + 3 - a\/(-2) and 97\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, 63, 0 in ascending order.\nAnswer: -0.4, 0, 1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*g - 2*m, 261*m - 22 = -2*g + 265*m. Calculate the remainder when 1148 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6001524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3056 a factor of 254253809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + r**2 + 3*r - 1. Let g be 12\/(-8)*4\/(-3). What is the tens digit of i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - 6*h. Suppose -56 = 3*s + s. Let o(p) = 24*p**2 + 30*p. Let v(t) = s*d(t) - 3*o(t). Find the second derivative of v(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1282818, 1282910, 1283064, 1283280?\nAnswer: 1283558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + (-6*sqrt(38)\/sqrt(2)*-6 - (sqrt(171)*1 + -2)))**2.\nAnswer: -132*sqrt(19) + 20695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a decade in months?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**3)\/(w\/(w*w*w**2)))**17\/((w**(2\/9))**(1\/19))**(-23) assuming w is positive.\nAnswer: w**(2953\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2446, -5226, -8330, -11752, -15486, -19526?\n\"Answer: n**3 - 168*n**2 - 2283*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 91978\nAnswer: -19\/91978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 254 + 53?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/89)\/(j*j**(-43)))**(-41) assuming j is positive.\nAnswer: j**(-153176\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + ((14 - (-23 + 43)) + 15 - 119).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {t: 4, k: 7, y: 2}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hahhnnhahaannhhaahh. Give prob of picking 1 n and 2 h.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 18*l - 15. Calculate the common denominator of 32\/9 and t(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -2, 0.3, -220?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 - -10?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-2 + -1) - (0 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519351, -1038702, -1558053, -2077404?\nAnswer: -2596755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (39 - (76 + -14)) + -67 + 18\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 187*f**5\/5 - f**3\/3 - 118*f**2 + 72. Find the second derivative of q(k) wrt k.\nAnswer: 2244*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 960 and 176?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 1789 - 1789 - 9*a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -h - 42*y + 45*y, -3*h + 106*y = -109 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/82)*(v\/(v*v\/(v**(2\/27)*v)))\/v*v assuming v is positive.\nAnswer: v**(137\/2214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5936*v - 55381. Give x(-9).\nAnswer: -1957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = 4*k + 2*i, 0 = 4*k - 3*i - 35. Let z = 0.7 + 14.3. Let a = -11 + z. What is the nearest to 0.2 in -1, a, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 12*y + 8. Let g be p(11). Is (-41)\/g - 3\/(-9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n - 3 - 13 + 6*n - 3. Let o be w(0). Are o and -20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143*n*y**2 + 2*n*y - 8*n + 1680*y**2 wrt n?\nAnswer: -143*y**2 + 2*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**4\/8 - 2*n**3\/3 - n**2. Suppose a = 4*a + 12. What is h(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-11 + 5) + 1862 + -2. Let l = -1184 + i. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 19*l**2 + 2*l + 3. Let i be f(-1). Let g(d) = 41 - 21 + 33*d - i. Let x(c) = 5*c**2 - c**2 - 3*c**2 + 0*c**2. Give g(x(r)).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - 2*q**2 - 2*q. Let v(f) = 2*f**2 - f + 1. Let y be v(1). What is the tens digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + 129. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 + c + 1. Let q be n(-1). Suppose -q = -k + 3*k. Let j(u) = u**2 - 2*u - 4. What is the units digit of j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, 0, 11, -16, 3, 2 in decreasing order.\nAnswer: 11, 3, 2, 0, -1, -16, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -0*g - 6, -4*j + 2*g = 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2448 and 15203151?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200*w - 4593 = 3393*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528)*-1*-3 + sqrt(528))\/(-4*sqrt(3)*-2 - (-2*sqrt(432) + sqrt(432)))*2)**2.\nAnswer: 704\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**3 - 19*l**3 - 49*l**3.\nAnswer: -46*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 28*r - 80. Let q be t(3). Suppose 0 = -2*u - 3*u + 15. Solve 6 = u*b + 5*m, b + b = 3*m + q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11073918*m**4 - 12082891?\nAnswer: 44295672*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = q + 19, 2*q - 4*i - 18 = 0. Let m be 7\/(-7)*(4 - q). Let l(c) = -6*c - 1. Let h be l(-1). Sort h, m, 4.\nAnswer: m, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-28))\/((-3)\/(-1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102799 - 2869*y - 102799.\nAnswer: -2869*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121.95 - 119. Let q = 0.05 + t. Let x = 11 - 6. Which is the second smallest value? (a) x (b) -1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 47029428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84\/17 + -1126\/221. Let r = 10 + -6. Let c be r\/(-2) + 9 + -3. What is the third smallest value in 2, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 - 4761*p + 62393. Give l(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u + 72. Let k be o(18). Let z be -4 - -37 - k - 0. What is the greatest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 93255172098\nAnswer: 93255172100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106)\/(-2173) - (-190)\/(-3116).\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (67\/(-402))\/(70\/15 + -4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n**2 - n. Let m(k) be the second derivative of k**4\/6 - 75*k. Calculate m(i(a)).\nAnswer: 288*a**4 + 48*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (72\/21 - 0) + 3 and (44\/(-16) - -2)*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5525879 is divided by 1283.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - 95. Suppose -l + 2*l - 3 = 0. Calculate the greatest common divisor of v and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 11. Let v be -2*2*84\/(-16). Suppose -d*n + v = -23. Calculate the lowest common multiple of n and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 64*g = 78800. Calculate the greatest common factor of 10 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 2794?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/27, -4, 201441, 0, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(14)\/(sqrt(2)*2) + -3.\nAnswer: -3 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = 14 + 22. Let p be (-2)\/19*j\/8*-2. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*k + 31 - 7, 24 = 4*t + 3*k. Suppose 3*q = 4*c + 10, -q + 2*c = -5*q + t. Let p(u) = 86 + 0*u**3 - u**3 + 7*u - 5*u**q - 77. Give p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 1:19 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 - 318\/(-8). Suppose d = 20 + 17. Let j(p) = 2*p + p - 5*p - 2*p**2 - d + b. Determine j(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 2*m - 16, 4*n = 24*m - 28*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 868 and 279.\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/852194 and -101\/264474.\nAnswer: 7669746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-16 + -1) - (-5 + 24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 5*u - 2*u)*(-5 + 3 - 4)*(-98*u**2 + 94*u**2 + 674*u**2).\nAnswer: -4020*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*((-1 + sqrt(1539) - sqrt(1539)) + sqrt(1539) - sqrt(1539)) - ((sqrt(19) - (sqrt(1216) - (sqrt(1216)*-5 - sqrt(1216)))) + 5 + sqrt(2736)))**2.\nAnswer: -688*sqrt(19) + 35195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 355130 - 41152?\nAnswer: 313534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1082 + 1082 - 17*o to v + b*o and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1220649558?\nAnswer: 2, 3, 203441593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y - 501. Calculate f(65).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6139 - -6138. Let c = -82 + 244\/3. What is the fourth smallest value in 2, 3, c, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1752*l**3 - 795*l**2 + 4*l - 125667747 wrt l.\nAnswer: 5256*l**2 - 1590*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252013 = 3873*b + 176604 - 37138 - 4179 for b.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from phgggcchppuogu.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. What is prob of sequence aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:13 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {z: 5, c: 3, r: 8, m: 1, s: 1, d: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -201*j - 40111. Calculate x(-215).\nAnswer: 3104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 585 and 16410.\nAnswer: 639990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -20.08. Let a = u + 2.07999913. What is a rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 (base 5) in base 16?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty sevenths of a week?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -2\/11 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 379836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/322 or 1.312?\nAnswer: 1.312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6) + (31 - 27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -23*m + 595. Let o be g(26). Let t(a) be the first derivative of a**2\/2 + 10*a + 16. Give t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 3*y + 2*z, -4*y + 148 + 336 = -4*z. Is 0\/(-6) + (y - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -262? (a) -56 (b) 1 (c) -2 (d) -0.5 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2. Let j(y) = -y**2. Let x(h) = 12*j(h) - r(h). Let z(g) = 5*g**2. Calculate z(x(w)).\nAnswer: 45*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f - 17*f + 22*f + 0 - 7*f**2 - 6. Let g(i) = i**2 + i + 1. Let v = -47 + 67. Suppose -4*n - c = -3 - v, 3*n + 5*c - 13 = 0. What is n*g(j) + d(j)?\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 - 9*v - 574 - v + 175 + 134.\nAnswer: -10*v - 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(-1)*d*(d**(1\/3)*d)\/d)**47*((d**10\/d)\/(d**2*d))**(1\/13) assuming d is positive.\nAnswer: d**(9794\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -1121202011110?\nAnswer: 1121202011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4585473736 to the power of 1\/2, to the nearest integer?\nAnswer: 67716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8995 is divided by 687?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 + 15*h + 96. What are the prime factors of t(-12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bflm when four letters picked without replacement from mmbliflcbbmc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-29)\/(-63))\/(-1) + 4\/7. What is the second biggest value in -0.5, y, -2\/5, -1.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131.2 + -20.2. Let l = 110.4 - r. What is the third biggest value in 4, l, -0.3, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52386785 - -30786787. Let r be 3\/(-12) + k\/8. What is r rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-9847.\nAnswer: -4923.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z*z**(-2\/9)*z*z**(2\/19)\/z*z**1*z assuming z is positive.\nAnswer: z**(493\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*a - 1526 = 1226 - 667. Solve 2*i - 5*k - a = -0*k, 0 = -5*i - 4*k + 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + 1 + (-27 - -20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/23393 and -50\/6109.\nAnswer: 959113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((272688\/380)\/(-26))\/((-21)\/(-70))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1342, 1401, 1458, 1513, 1566?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43\/1 - ((-1)\/(-1))\/1. What is the greatest common factor of 210 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -128\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -z + 4. Let d = z + 38. Find the third derivative of m**3 - 9*m**d - 4*m**3 - 2*m**2 - 6*m**2 wrt m.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wll when three letters picked without replacement from lwlwllwwwwllllllll?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -145*n + 11. Is 78 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70857*p**2*s**3 - 9238*p**2*s**2 + 4*p*s**6 + s**2 - 1 wrt s?\nAnswer: -425142*p**2 + 480*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -277812\/29 or -9581?\nAnswer: -277812\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94 from -6.168244201876.\nAnswer: -100.168244201876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 2*q**3 + 3*q**3 + (-3 + 6 - 2)*(-2*q + 2*q**3 + 2*q) + 0*q**3 + q**3 + 0*q**3 + 2*q**3 + 3*q**3 - 6*q**3)*(5952 - 6*q - 11598 + 7257).\nAnswer: -6*q**4 + 1611*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9970 - 9820. Which is greater: -1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + 38. Give g(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 23*a - 700 = 0. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*p**2 + 562*p**2 + 183 - 1117*p**2 + 9*p - 2*p.\nAnswer: p**2 + 7*p + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(1 + sqrt(2057)*-2 - (4 + sqrt(2057)*2))**2 + 4)*-4.\nAnswer: 15840*sqrt(17) + 1975180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 4. Let d be m(1). Let k be 5*d\/(-4)*54\/45. Let p(n) = 2*n**2 - 5*n + 4. Determine p(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-3)*(-5)\/5*3. Let q(s) = 19*s + 19*s - j*s. Let f(x) = -x**2. Calculate f(q(b)).\nAnswer: -484*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Calculate -45359580 divided by 2159980.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -25751*a - 901481. Give p(-35).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-45)*(-9)\/(-15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -8 - 7. Let w be (33\/(-110)*45 - -9)*(-8)\/36. Solve d + o = w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*q + 90. Let l = 8 + q. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.08 (b) 2462 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((4 + sqrt(180)*-2 + (sqrt(180) + 0 - sqrt(180)) + -3)*4)**2 + 5).\nAnswer: -69246 + 2304*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 716 - 677. Find the first derivative of 3 + 35 + 2 - b*y + 192*y**2 - 189*y**2 wrt y.\nAnswer: 6*y - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87237 + 87686.99. What is b rounded to the nearest ten?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2846\nAnswer: -1\/2846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 809585*i**5 - 809599*i**5 - 34*i**2 + 184*i + 1 wrt i?\nAnswer: -280*i**3 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 438?\nAnswer: 19\/438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8 - (-5 + -1980)) + (-4 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b + 0*b)*(1 + 1 - 1)*(-5 + 7*b - 4*b - 6*b).\nAnswer: -6*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 10*y**2 + 6*y + 8. What are the prime factors of n(-11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 3*n + 3*n**2 + 2\/3*n**3 - 43. Let i(m) = -m**2 - 5*m - 2. Calculate -2*c(p) - 3*i(p).\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1 + 15*(-57)\/209?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111379918, 111379921, 111379926, 111379933, 111379942, 111379953?\nAnswer: 111379966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -895, -906, -919, -934, -951, -970, -991?\n\"Answer: -v**2 - 8*v - 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 32\/4) + (12 - 2). Solve 0 = -4*g + r, -2*s + 4*g + 5 = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61304040 divided by 5?\nAnswer: -12260808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*r - 242 = -253*r. Suppose 34 = -2*y + 4*y + 4*w, -4*y + 33 = w. Suppose 0 = 3*k + 5 + y. Which is the nearest to -2\/3? (a) -2 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 6*w**2 - 10*w + 10. Let o be a(7). Let v = -9 - o. What is the smallest common multiple of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/492 and 59\/6.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 3*a**2 + 27*a + 150. Let x be n(-4). Solve x*c + 238 = 252*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -55*n + 4. Let t be c(-3). Let a be 2*((-526)\/(-4) + -6). Let p = a - t. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021043349 rounded to 4 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 c, and 1 e when four letters picked without replacement from zpeepcppcpppppepcpee?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11255821 to the power of 1\/2, to the nearest integer?\nAnswer: 3355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 243 - -695?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:18 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 344 = 8*n. Let p be (1\/4*-1)\/((-129)\/n). Is p at least as big as 1.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.78603 plus -3.4817?\nAnswer: 298.30433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 242.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 808000901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 59*g**2 + 30*g - 8. Determine a(30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 < 10933\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**5)\/(m\/(m\/m**(-5))*m))\/((m*m*m**(-4))\/(m\/m**(1\/5))) assuming m is positive.\nAnswer: m**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-324)\/(-210))\/(3\/(-15)) + 8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 67. Let q(h) be the first derivative of 0*h**6 - h**3 + 0*h + d*h**4 + 0*h**2 + 2\/7*h**7 + 0*h**5 - 3. What is the third derivative of q(o) wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 25 = -6*k, n = -4*k - 2535563 + 2535594 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*k - 1021 - 2094, 0 = -r - 2*k + 608. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 2 z when four letters picked without replacement from iizzkzzi?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 12, 4*m + y - 212 = -2*y. Let b = -2 + 9. What is the greatest common divisor of m and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28034 and 557470?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -104*n**2 - 3*n**5 - 19*n**3 + 16*n**3 - 30*n**3 - 18*n**4 + 86*n**2 = 0. What is n?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 = u + 4*i, -5*u - 3*i = -13. Let c be -1*4\/2*1. Let d = c - -6. Sort 1, d, u.\nAnswer: 1, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -160*j**3 + 703 + 176*j**2 - 237 - 234 + 28*j**4 - 232 + 4*j**5.\nAnswer: 4*j**2*(j - 2)**2*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g\/g**(-4))\/g**4)**6)**(-3\/2) assuming g is positive.\nAnswer: g**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:00 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 33100*q - 627456.\nAnswer: -4*(q - 8256)*(q - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 334795397 to the power of 1\/2, to the nearest integer?\nAnswer: 18297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 734, 3, 0.\nAnswer: 0, 3, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -66 - 98 - 11*f + 9*f + 11*f - 11. Let s be w(23). Solve 3*l = -5*m + 11, l + 5*m = 5*l + s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o + 2*o - 1321559*o**2 + 1328783*o**2 + 11577*o**3 wrt o.\nAnswer: 69462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 79*t + 3279. Let q be h(-41). Let i be ((-1)\/(-1))\/(-1) - -6. What is the highest common divisor of q and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5136*u + u**3 + 5136*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23746815 is divided by 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0, 5.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753121071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 15035*r**2 + 3*r.\nAnswer: 15035*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 592216 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0*d**4 + 0 - 1\/60*d**5 + 0*d**3 + 0*d - 2*d**2. Let b(y) be the second derivative of y**4\/12 - 2*y. Give x(b(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 + 2*l**3 - l.\nAnswer: -l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*l = 17*l + 90300. Calculate the greatest common divisor of l and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109920 is divided by 2969.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 701 = -6*a + 3*j, -2*j = a - 702. Is a a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 103009, 103190, 103367, 103540, 103709, 103874?\n\"Answer: -2*z**2 + 187*z + 102824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 1087 - 142. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 11*w - 385. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.8. Let p be (-195)\/78*(-1)\/10. What is the nearest to 0 in p, d, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67.08608l?\nAnswer: 67086.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {w: 1, t: 1, d: 2, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -7, -258, 2, -5, 1 in decreasing order.\nAnswer: 8, 2, 1, -5, -7, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**7\/70 + p**6\/60 - 6*p**5\/5 + 25*p**2. What is the third derivative of r(i) wrt i?\nAnswer: -72*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -3722?\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 + 16*y + 6. What is the tens digit of p(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1.6 (b) 0.5 (c) -5 (d) -0.29585\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 39. What is the tens digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x**5\/2 + 1397*x**4\/2 + 34655*x**3\/2 + 44415*x**2\/2 - 26244*x - 13986 = 0. Calculate x.\nAnswer: -21, -2, -3\/7, 1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t - 4*n - 17, -5*t = n - 143. Let q(v) = t - 76*v**2 + 75*v**2 - 19*v + 6*v. Let g be q(-15). Let a(b) = b**2. Give a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 + 0*b - 9 - 2*b + 9*b. Suppose 4*z = -5*m - 57 + 4, -2*z = 4*m + 34. Is f(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7 - 39*r + 17 + 18*r + 19*r. Let x be t(15). Put x, 5, 4 in increasing order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**6\/180 - a**5\/40 - a**4\/12 + 7*a**2\/2 - 47*a. Let c(m) be the third derivative of f(m). Calculate c(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c - 4*c - 8*c)*(11 - 1 - 2)*(3 + 4 - 6) to the form v + s*c and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or -0.1?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 12, -4\/3, 0.3, -2\/553, 4?\nAnswer: -2\/553","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0327 + -0.6327. Let s = -22 + 22.05. Let j = s - -0.25. What is the biggest value in j, -1\/7, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 + 812*o**3\/3 + 26342*o**2\/3 - 75008*o\/3 + 38056\/3 = 0. What is o?\nAnswer: -71, -67, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) + 141\/27. What is the third derivative of 2*m**2 + 3*m**5 - 5*m**z + m**5 - m**2 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*v + 140*v - 10202620 = 6305965. List the prime factors of v.\nAnswer: 31, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 12*v + 20. Let i = -28 - v. Let y = -19 - i. What is the smallest common multiple of 18 and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 784906 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*q - 1 + 11, 4*i + 4*q - 100 = 0. What is the remainder when i is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157*j**2 + 84658*j - 21*j**2 - 84667*j)*(-2*j**2 - 2*j**2 + 6*j**2).\nAnswer: 272*j**4 - 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g - 40. Let p be y(13). Let h = -91 + p. What is the highest common factor of 36 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -7*z**5\/60 - 7*z**2 - 1. Let f(b) = 3*b**2. What is c(f(n))?\nAnswer: -63*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -56 (c) -0.7 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384526, 769098, 1153670, 1538242, 1922814, 2307386?\nAnswer: 2691958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsqssqusqsqqwuuqqqss. What is prob of picking 1 w and 3 u?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2667*o + 85348. Determine b(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-180)\/(-42) + 6\/(-21). Suppose 3*u - 3*w - 660 = 0, 4*u - o*w - 875 = -w. Suppose -581 = -5*q + 2*t, 2*q + 4*t = -t + u. List the prime factors of q.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + 2\/16*12. Let b(i) = 2*i**2 - 7*i + 3. Let n(a) = a**2 - 3*a + 2. Give u*b(j) - 5*n(j).\nAnswer: -j**2 + j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*z**4 - 10*z**3 - 24484*z**2 - z - 2960080.\nAnswer: 8*z**3 - 30*z**2 - 48968*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1145 (b) 0.1 (c) 1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1434 (base 6) to base 10\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 36, -2\/9, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*y - 2*y = -16, -12 = 3*y. Suppose -5*b + z*b = 12, 68 = 4*g - b. Is (124\/g)\/((-4)\/(-16)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12519 + 12574. Is -104 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*a - 2*a = 21, x - a + 5 = 0. Sort -1, 2\/21, 0.3, x in decreasing order.\nAnswer: 0.3, 2\/21, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iioieeeoooeo. What is prob of sequence oio?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 1. Let f(n) = 4*n + 4. Suppose 23*t = -111 - 50. What is t*p(k) - 2*f(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.39139 + -0.3913863882. What is h rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -1\/4, 49772765 in descending order.\nAnswer: 49772765, 0.06, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + y**2 + 7*y - 10. Let o(m) = -m**3 + m**2 - 1. Let t(l) = -n(l) - 3*o(l). Let r be t(4). What is r rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 6298485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1) + 16\/6. Let r(n) = 4*n + 11. Let a be r(9). Let o = a - 46. Is g at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(304)*-1 - sqrt(304))*3 - sqrt(304)))**2*-2 - (sqrt(190) + sqrt(190)*-2*1 + sqrt(190) + sqrt(190))\/(sqrt(50)\/(sqrt(20)\/sqrt(4))).\nAnswer: -476672 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 16815\/79 and 214 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9449 or 9451?\nAnswer: 9451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 - 1 = 0. Let g(r) = -r + 1. Let i(u) = 5*u + 6. Let z(q) = 6*g(q) + i(q). Let s be z(10). Solve 3*b = d*l - 25, 3*l = s*l + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 17 + -9 - 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*w = 258*w - 4088 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 38*p**2 + 157*p + 1911. What is the hundreds digit of d(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 145?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - y = 507, 6*y - 2*y + 507 = 3*v. Let s = v + -32. What are the prime factors of s?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8765115 - 6144264. Let b = -2620959.0001 + d. Let l = 108 + b. Round l to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 861*n = 878*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54598231, 54598223, 54598201, 54598159, 54598091, 54597991?\nAnswer: 54597853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:59 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c - 2. Suppose 92000 = -0*o - c*o. Round o to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37839.6022 rounded to the nearest ten?\nAnswer: 37840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14142 at most as big as 113145\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let r be 214\/6 + 3\/9. Suppose -2*m = -4*m + r. Calculate the greatest common divisor of m and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l*l*l\/(l\/(l*l**4))))*l\/l**(1\/6)*(l*l*l**(-1)*l)**(-28) assuming l is positive.\nAnswer: l**(-289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2816)\/(-24) - (31 + 404\/(-12))) + -14.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121.979 + -122.57247. What is x rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, -4, 0.2, -44?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 4, -2\/9, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17670617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 41*l + 8. Calculate the remainder when 51 is divided by s(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -885, -1891, -2897, -3903, -4909, -5915?\n\"Answer: -1006*t + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 111 - 31*n - 4*n + n + 2*n - n - 4*n + 3*n + (3 - 2*n - 3)*(-4 - 1 + 6))*(n**2 + 5*n - 5*n).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*r - 150, 2*g = -r + 3*r + 56. Let t = g + -3. Suppose 2*z - 2*p = 44, 70 - t = 2*z + p. Solve -3*v - 5*f - 1 = -3, 0 = -5*v + f + z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2435834.\nAnswer: 1\/1217917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818341077.\nAnswer: 7, 101, 2571911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (127 - 136) + (2 - 2 - (2 + 1))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 14, h: 2}. What is prob of picking 3 f?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -248*b**3 + 8*b**2 + 29*b - 16. Let l(c) = -83*c**3 + 3*c**2 + 10*c - 6. Let r(t) = -8*l(t) + 3*u(t). What is the second derivative of r(i) wrt i?\nAnswer: -480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:55 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**7*r**(-1\/3)*r*r\/(r\/r**(-2))*(r*r**(1\/5))\/r)**(4\/25))**(-1\/3) assuming r is positive.\nAnswer: r**(428\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.8 from -188.\nAnswer: -187.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 + 4*a + 8. Let c(v) = 8*v**2 - v. Let t be c(-1). Let q(d) = -5*d**2 + 5*d + t + 0*d**2 - 3*d**2. What is -7*b(k) + 6*q(k)?\nAnswer: k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 318 + -2230\/7. Let a be 2 + (-21)\/36*3. Let q = -4.5 - -0.5. What is the second smallest value in r, a, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -187, -182, -175, -166, -155?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - y - 22, 4*y = -532*v + 527*v - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let p(r) = 10*r**2. Let b(y) = y**2 - 4*y**2 + 6*y**2 + 0*y**2. Let s(a) = -30*b(a) - 6*p(a). Calculate s(z(v)).\nAnswer: -150*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (642 - 642 + 22*b**2)*(-5 + 0 + 3)*(2 - 4 + b + 1).\nAnswer: -44*b**3 + 44*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-15)*(5\/5)\/(-20). Which is the closest to -1? (a) 1\/3 (b) s (c) 0 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 0, -5, 1\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 - -1.17. Let g = 1.16 - v. Let j = -0.39 + g. Which is the smallest value? (a) 1 (b) 0.1 (c) 4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {n: 3, r: 1, l: 1, d: 1, c: 2, i: 4}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 9*x**2 + 9*x - 3. Let b be h(8). Suppose -2*k = 3*k + 2*q - 30, b*q - 33 = -2*k. Is k >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g - 5*b + 19, 0 = -3*b + 6. Solve -26 = 5*q - 5*o - 11, -g*o = 4*q + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17363*t**3 + 4*t**2 + 7*t + 132?\nAnswer: 104178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -963, -955, -933, -891, -823?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-10920)*-13*4\/152*(-32)\/(-4).\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33749*q**2 - 715*q + 25867973 wrt q?\nAnswer: 67498*q - 715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 3*y - 5*y - 4*y as m + u*y and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 less than or equal to 16195.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141ec (base 15) in base 5?\nAnswer: 4031242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*2*270\/(-24). Find the common denominator of 2\/4*j\/21 and -17\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012 at most 1013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1884 + 28262\/15. Is 33 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 11. Suppose 13 = -2*i + 1. Let z be u(i). Let h be (11 - 1\/1) + 0. What is the greatest common divisor of h and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2030214 = -3*x + 35*x + 571878. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 10332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 4, 1\/5, -22?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r**3 - r**2 - r + 1. Give x(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 48. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 2 + 3 - 1904*q + 1903*q - 3*q**4 to the form a + c*q**4 + d*q**3 + s*q**2 + v*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 94e0 (base 15) to base 11\nAnswer: 21723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0, -2.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 3*r + 48, 0 = 3*p + 4*r - 835 + 763 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-4)\/(-6)*(-180)\/60)\/((-35)\/595)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 - -364. Suppose 0 = 2*y + 4*y - s. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 3 - (12 - 2 - (26 + -21))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i - 485. Determine s(26).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 107*k + 218. What is l(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(48\/15)\/(-4). Let a(u) = -u + 2. Let f(o) = o - 1. Let j(n) = h*f(n) - a(n). Differentiate j(k) wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2079.21 - 4.485.\nAnswer: -2083.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 6 - 3) + (4 - (10 + -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 13*q + 37 = 7, f - 2*q + 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.9105 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 greater than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 3. Let a be p(6). Is (a - 2)\/(1\/13) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -17, -11, -5 in ascending order.\nAnswer: -17, -11, -5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.13375802 + 0.01376872. Let l = g - -1.12. What is l rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 13*x**2 - 11*x + 6. Calculate the smallest common multiple of s(3) and 2\/6 + 170\/30.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289142, 289138, 289132, 289124?\nAnswer: 289114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -19. What is the units digit of 82 - (-4)\/4 - i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98)\/686*1*(4 + -2089161) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**4\/9 - 33952*b**3\/3 + 785605144*b**2\/9 - 582233714912*b\/3 + 1176315899641444\/9 = 0.\nAnswer: 1531, 11201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -119*w**2 + 2*w + 6. Let f(n) = -n. Give f(i(a)).\nAnswer: 119*a**2 - 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*q**3\/8 - 195*q**2\/8 - 87*q\/2 - 21\/2.\nAnswer: -3*(q + 2)*(q + 7)*(7*q + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -40*p**3 - p**2 + 7*p + 5. What is the hundreds digit of z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -27. Suppose -4*g + 3*r = 5*r - m, g + r = 8. Suppose 5*d - 2*a - 117 = 0, -d - 4*d + g*a + 113 = 0. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*c + 5116 = 2760 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 44. Let q be u(-23). Let t = 99 + q. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g - 33 = -5*r, 0 = -5*g - 3*r + 35. Let h be (-4)\/3*(-30)\/g. Suppose -4*n = -110 + h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*f**3 + 3)*((-2 - 3 + 1)*(-3 - 3*f + 3) - 3*f + f + 4*f + 3*f - 4*f - 2*f + (-1 + 1 + 1)*(-f - 5*f + 4*f) + 2*f + f - 2*f).\nAnswer: 30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1, -3.4 in ascending order.\nAnswer: -3.4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 250*q**2 + 1533*q + 702. Determine w(256).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -3*(-4 - (-39)\/9). Suppose -4*a + 2*n = -6*a + 4, 3*a = -m*n + 9. Solve 0 = -4*g - 0*g + z - 23, -2*g + a*z - 25 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3955 + 0.0045. Let p = j + -3.2. Which is the smallest value? (a) -2\/11 (b) -28\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 11288*f**2 - 8312612*f + 486820096.\nAnswer: -4*(f - 1379)**2*(f - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8096*q - 1781117. Calculate g(220).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.154 - 0.352. Let f = s + -0.002. Let l = -0.7 - -0.8. Which is the biggest value? (a) f (b) l (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500389 is divided by 1719.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 36. Is 2 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 9*r = -1319 + 1229 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(-2 + 4 - 1)*(9 - 2 + 1)*(2*v - 4*v + v) in the form j + z*v and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -3412729.\nAnswer: 1023818.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*(-210)\/(-40)*-6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(432) + -1)**2 - (5 + -1*sqrt(432))) + -3.\nAnswer: -36*sqrt(3) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 0.24282?\nAnswer: 3.88512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -9, 4, 43 in decreasing order.\nAnswer: 43, 4, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*o - 411 = -7419 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*2 - sqrt(117))*6 + sqrt(117))\/(sqrt(9) - (sqrt(441) + sqrt(9) + sqrt(9))*-4 - sqrt(9)).\nAnswer: 7*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 - -110000110010101100000110?\nAnswer: 110000110010101011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w**3 + 93*w**3 + 17*w**3 + 42*w**3.\nAnswer: 172*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/11 - 10888*i**4\/11 - 1073384*i**3\/11 - 24476096*i**2\/11 + 111133568*i\/11 - 115601408\/11 = 0.\nAnswer: -5344, -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - 3.17. Sort -3, g, -1\/2.\nAnswer: -3, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 555. Does 3 divide c(-41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-5)*(1600209\/(-117))\/(-141).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -89\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 - -142. Suppose -k - 12 = -n*k, 2*k = -2*l + 4. Put 3\/8, -12, l in descending order.\nAnswer: 3\/8, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(5 + 1 + -1). Suppose 0 = x*m - o - 6, -o = -3*m + 4*o + 8. Let s = m + 5. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*4\/(-76) + (-120)\/(-111).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31203 divided by 12.\nAnswer: 10401\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c*h**3*w - 7*c*h**3 - c*h**2*w - 2*c*h*w - c*h - 2*c - 603995*h**3*w + 19*h**2 - 125*h + 273*w wrt h?\nAnswer: -30*c*w - 42*c - 3623970*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 - -81) + 10 + -10 + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one halves of a microgram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7523299106 rounded to the nearest one hundred thousand?\nAnswer: -7523300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25593918*s**3 - 45047297*s**2.\nAnswer: 153563508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, v: 7, f: 3}. What is prob of sequence vvvv?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -183*z - 15182. Determine q(-83).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 3078664763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1162160*a**4 + a**3 + 2990439*a - 3.\nAnswer: 13945920*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92002 and 4.\nAnswer: 184004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -193.92 take away -17?\nAnswer: -176.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7052.\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**4\/4 - 2*b**3 - 7*b**2\/2 + 2*b + 1. Let w(u) = -8*u + 147. Let x be w(19). Determine t(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 59.6 (c) 16.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 419.6 - 419.58. Which is the second smallest value? (a) -438 (b) z (c) -0.3 (d) 3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -83 - 77. Let d = z + 56. Suppose -d = -5*k - 6. Solve k*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/(3\/9). Let w be 280\/(-12)*(-9)\/h. Let k = w + -56. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((135\/54)\/(1 - -4))\/((-9)\/144). Let s(w) = 3*w**2 + 15*w - 22. Determine s(f).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 22 + 17 - 39.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743064*t**2 + 3*t - 743056*t**2 + 2229155*t**2 - 743038*t**2.\nAnswer: -3*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*j + 60 = 4*g, 4*g - 63 = -3*j. Suppose g + 34 = 2*h. Solve 2*u - o + 5 = -7, 0 = 4*u - 3*o + h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - b5?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*w**3 + 55*w**2 + 171 + 453\/2*w.\nAnswer: -(w - 114)*(w + 1)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03040964203 to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 2*l - 10, -4*g + 4*l - 36 + 16 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a**3 + 7*a**3 + 8*a**3)*(-18 - 4*a**2 + 18) + (-3 + 4 + 1)*(0*a**5 - a**5 + 0*a**5) + 5*a**5 - 2*a**5 - 2*a**5.\nAnswer: -93*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 34675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 292 = 2*m, 20*x - 15*x - 5*m = 350. What is the highest common divisor of x and 1152?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 14*m + 1\/12*m**4 + 1\/2*m**3 + 13\/2*m**2 + 0. Let l be i(10). Calculate the highest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -2, 32, 66, 100, 134?\n\"Answer: 34*x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 7 + 12 + 12433*l.\nAnswer: 12433*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-42 + 42 - 3*j)*(0 + 2 + 1) + j + 2*j - 4*j)*(-1 + 3 - 4)*(-12 + 0 - 3).\nAnswer: -300*j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:59 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 17*l + 0*l + 4)*(2 - 8 + 3 - 7).\nAnswer: 200*l - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 625714570.4 + 0.046494?\nAnswer: 625714570.446494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, u: 4, h: 4}. Give prob of picking 1 u and 2 h.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 5*n**2 + 8*n + 4. Let p(y) = -y**3 + 4*y**2 - 7*y - 3. Let t = -2695 + 2691. Give t*p(r) - 3*i(r).\nAnswer: r**3 - r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7606886 divided by -5?\nAnswer: 7606886\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - v - 346839 = -0*w, -3*v - 433540 = -5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - h = 8, -64*w + 2*h = 96*w - 136*w - 16 - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7617463.\nAnswer: 7, 1088209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 174 + 4*n**2 - 174.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let b be n(-4). Let o be ((-120)\/2)\/(6\/(-4)). Suppose -4*y + b + o = 0. What is the remainder when 19 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11*y + 48 = 0. Let -4*u**2 + 3*u + y*u + 69 - 75 - u**3 = 0. Calculate u.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let b be 0\/((-2)\/(2\/3) - -4). Suppose 2*s + 2*j - 4*j - 14 = b, s - 2*j = 2. Let q(i) = 22*i + s*i - 13*i. Calculate n(q(r)).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l + 25*l + 7308 = 0. What are the prime factors of l?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide (-126)\/231 + 32820\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 155*r**2 - 895*r - 146. Let j be d(-149). Suppose 0 - 2\/11*v**5 + 12\/11*v**j - 8\/11*v**2 - 10\/11*v + 8\/11*v**4 = 0. Calculate v.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 37472780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, -0.3, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 8*d**4 - 36*d**3 + 81*d**2\/2 - 14*d + 3\/2 = 0.\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24415 + -24415.29. What is the closest to 24 in -5, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 7*i**2 + 2*i - 7. Let w(x) = x**3 - 6*x**2 - 3*x + 6. Let f be ((-6)\/2 + (-112)\/(-32))*12. Let r(z) = f*l(z) + 7*w(z). What is h in r(h) = 0?\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 4:59 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(21\/6) + 1*-9. Let m(w) = w**2 + 6*w - 4. Let g be m(k). Let a(z) = 2*z**2 + 3. Calculate a(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 + 48368*v**2 + 483686*v\/5 + 241844\/5.\nAnswer: -2*(v - 120922)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k + 5. Let n(h) = 9*h + 4. Let u(s) = -4*n(s) + 3*v(s). Let x(o) = 5*o + 1. Let d(c) = -6*u(c) - 7*x(c). Determine d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -34*q. Let z(k) = -6*k**2 + 2230*k + 5. Give z(i(f)).\nAnswer: -6936*f**2 - 75820*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*a - 18, 0*a = -g + 2*a - 10. Let z(v) = -v**3 - v**2 - 2*v + 4. Let h be z(g). List the prime factors of h\/32 + (-2580)\/(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6589\/14 - -469. What is the common denominator of (1 - (-36)\/(-32))\/(2\/(-108)) and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147127 or -2?\nAnswer: -147127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/16 and (-2*(-292)\/24)\/(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.360444 to 3 dps.\nAnswer: 6.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -104. Suppose 0 = 2*b - 20 - 2. Find the second derivative of -r*c - 2*c**2 - 11 + b wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) -1\/9 (c) 3\/7 (d) -9461.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(-565)\/678?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/((-13)\/7) + -3 + 44315 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/4675526 and 131\/14026578.\nAnswer: 14026578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(35\/(-15) - -2). Let h(x) = 2*x**2 + 2*x**2 + x**2. Let p be h(-1). Solve -t = u, p*l + 5*t - 2*t = -19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112210 - 20102?\nAnswer: 22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(4*q + 0*q - 5*q - 2*q - q + 4*q + (-q - 3*q + 6*q)*(0 - 3 + 2) + 5 - 21 + 0 + q) as k*q + l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 2427?\nAnswer: 2425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 10*a - 11. Let g be v(10). Let u be g\/55 - (-38)\/(-10). Let q(o) = 13*o**2 + 3. Is q(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15695 divided by -365?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 22*b**2 + b**2 + 11*b**2)*(97 - 97 - 140*b) to the form n + i*b + s*b**2 + r*b**3 and give r.\nAnswer: -4760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**4 - 88*u**3 + 2*u**4 + 44*u**3 - 258*u**2 - 2*u**5 + 36*u**3 wrt u.\nAnswer: -120*u**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -7*d + 2*d + 25, -c = 3*d - 15. Let h be (-7)\/(-3)*(1 + 2). Solve -2*x + h*x = c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*c + 7 + 29, -c + 5*z + 27 = 0. Suppose d - 2*f = -5*f - c, d + 2 = -f. Suppose d*l + 51 = 4*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73365 = 2*k - 25*m + 73403, 3*k + 2*m - 22 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -2*-1*sqrt(117) + sqrt(117))\/sqrt(9) + 1.\nAnswer: 1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 = 9. Let j be -57 + r + (-4)\/(-2). Let y = j - -82. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.7 + 7. Let m be (-28)\/(-6) - 1\/(-3). Let z = -28491.98 + 28492. Which is the second biggest value? (a) m (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-21)*(-2)\/(-4))\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - -3*(sqrt(14) - 2*sqrt(14))) + -3*sqrt(84)\/sqrt(6))\/((-1*sqrt(1600) - sqrt(1600))\/((sqrt(72)*2)\/sqrt(9))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/45 + (-1)\/(-3). Let t = -8 - -7.91. Let q = t + -4.91. What is the nearest to 0 in i, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 6836561?\nAnswer: 34182805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = v, -4*w - 3*v - 9 = w. Suppose -2*r - 5*h + 11 = w, 2*h + 12 = -2*h. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d**2 - d + 1. Let t(s) = s**3 + 2*s**2 - 14*s - 22. Let g be t(-4). Calculate m(g).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*d**4 + 3 + 0 - 5 wrt d?\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 14*m**2 - 17*m - 43. Calculate d(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 11. Solve -3*r - 5 = y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i - 5. Suppose i*o - 65 = 100. Calculate the remainder when o is divided by 18 - (-1 + 2) - -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26404297 and 3357?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2635 + 1716 + 17*j + 919.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - (-3 - -6)\/9*-12. Let n be u + -6 + (-3965)\/(-549). Sort -0.5, 0.1, -5, n in decreasing order.\nAnswer: n, 0.1, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 731*b + 1465. Let i be c(-2). Suppose 0 = r - 1 - 2. Suppose r*o = -2*o - 15. Sort o, -1, 4, i in descending order.\nAnswer: 4, i, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -12*i + 3435. Is i*((-3 - -1) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 2390 = 571. Calculate the highest common divisor of 47 and j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86.5 + 95. Let k = 10.5 - n. Let w = 0.1 + -2.9. Sort -1\/4, k, w in descending order.\nAnswer: k, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.0224 + 71. What is k rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6005 + -197092361.\nAnswer: -197086356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 6*n**2 - 6*n - 9. Suppose 2*f - 13 = -3. Suppose -f*p + 5*k = 24 + 16, 0 = -4*k + 8. List the prime factors of a(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i - 36 = 0. Calculate the lowest common multiple of i and 37 + 2*(-7)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 88*h**2 - 36. Let x(g) = -20*g. What is j(x(z))?\nAnswer: 35200*z**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4122631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 391.4 + -203317\nAnswer: -202925.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -95412 (base 13) in base 8?\nAnswer: -1014665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -309, -313, -317, -321, -325?\n\"Answer: -4*j - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1615)\/175)\/(-17) + (-1)\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*n**3 + 144*n**3 + 30*n**3 - 46*n**3 + 104*n**3.\nAnswer: 280*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 614.66796 + 0.03204. Let k = -614.7002861 + f. Round k to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Suppose -3*a - 3*v + 69 = 0, 60 = 4*a - 6*v + g*v. Let k = a + -10. What is the remainder when 17 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - 0.3. Let x be 0*(14\/(-6) + 2). Let d be x - 1\/((-9)\/(-6)). What is the third smallest value in -3, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 6*s - 18. Suppose 4*y - s + 1 = 0. Let z(g) = g**3 + g**2 - g - 2. What is the units digit of z(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/11)*i*i*i**(-5\/6) assuming i is positive.\nAnswer: i**(53\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/170757 and 85\/3186.\nAnswer: 60447978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 33, 53, 73, 93, 113?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + (sqrt(63) - (sqrt(63) - (sqrt(3087) - -5*sqrt(3087)))) + (sqrt(126)*-5 + sqrt(126) - sqrt(126))\/sqrt(2)*6)**2.\nAnswer: 360*sqrt(7) + 9100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -523, -1195, -2147, -3385, -4915, -6743?\nAnswer: -8875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = 0, -5*d + 48 = -4*t + 6*t. Suppose 0 = -4*x + d*x - 968. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 3*w - 5, i + i + 4*w = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, s: 6}. What is prob of picking 1 h and 3 s?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27 * -0.9\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((152\/(-32))\/(-19)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0410021 + 0.041. What is w rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + x - 2*x = 0, z = -4*x. Let v be z - -54 - (-27)\/9. Let i = v + -2. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3165 = 2*o + 2*x, 2*o - 3171 = x. Suppose 11*n = 6*n + o. What are the prime factors of n?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -480, 14, -1901, 4.\nAnswer: -1901, -480, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -4*s + 3*i, -2*s - 4*i + 24 = 0. Solve 5*n = w + 23, -w + 1 = -n + s*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 2*y + 4*y**3 + 3*y + y - 4 + 15 in the form t*y**3 + l + j*y**2 + c*y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, m: 14}. What is prob of picking 2 m and 1 f?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763498?\nAnswer: 2, 381749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12312869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 22*t**3\/3 + t**2 - 151290. Let y(i) = i - 3. Let d be y(5). Let c(u) = -3*u + d*u - u. Determine p(c(g)).\nAnswer: 88*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - ((-2 - -9) + -10 - (-15 + 7)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 6*s - 8. Let x be q(-7). Let g be -2*(-5 - (x - 2)). Suppose 5*m - 3*m - 5*j - 21 = 0, 12 = g*m - 4*j. Is m bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(sqrt(2880) - (sqrt(2880)*1 - sqrt(2880))))\/(4*(sqrt(36)*1 + -1*sqrt(9)*-5)).\nAnswer: -6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*p = 299*p - 3192. What are the prime factors of (3\/12)\/((-19)\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1229 divide 20572231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*c + 2 - 58, 3*h = 2*c + 64. Suppose 5*d - 2*f = -5, -4*f = 4*d - 0*f - h. Suppose -630*p + 646*p - 80 = 0. Solve g + d = p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r - 4. Let n(u) = 45*u - 19. Determine 18*b(z) - 4*n(z).\nAnswer: 18*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let a be 2\/(-8) + 36\/16. Let c(g) = 1 - 3*g**2 + 0*g**2 - g**3 + 2*g**2 + 2*g**a - g. What is c(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 108*i - 18. Let x(q) = -1. What is k(s) - 18*x(s)?\nAnswer: 108*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1976349*0.7\nAnswer: 1383444.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -87+1.01\nAnswer: -85.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247479, 247481, 247483, 247485, 247487, 247489?\nAnswer: 247491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 13849154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3 + 1186*u**2 + 194370*u - 145735650 = 0 for u.\nAnswer: -337, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 893 = -5*z - 2*o, z = -o + 174. Let n = z + -266. Let u = n - -204. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 3, 0.16, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 2 + sqrt(48))) + sqrt(72)\/sqrt(6) - (sqrt(75) + 0 + -3*sqrt(75))**2.\nAnswer: -302 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(4 + (-20)\/((-520)\/(-117))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 0*v + 3*r, -4*r - 15 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 + 993*y\/2 + 497.\nAnswer: -(y - 994)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3869 + 2667. Let f = -602 - s. Is (f + -4)\/4 - 1 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/9 - 2\/9. Suppose -3*h + 5*y = 28, -5*h - 2 = 2*y - 7. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15502 and -4.8357.\nAnswer: 15497.1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 + 1 + 0. Suppose 16\/3*m**4 + 0*m + 10\/3*m**5 + 2\/3*m**3 + t - 4\/3*m**2 = 0. Calculate m.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*6*(5 + (2 + sqrt(252) + sqrt(252) + 0)*-6) + -1)**2.\nAnswer: 915840*sqrt(7) + 32704144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314341 is divided by 602?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-332)\/9834 - (-12)\/198. Is -1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*v - 6*w - 4, 0 = v - 3*w - 7. Let c be (-2)\/4*-8 - v. Suppose -2*t + c = -5. Calculate the greatest common divisor of 12 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + 0.93. What is the nearest to h in 2, 1\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -413.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0450281292 to 4 decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1236540*h*p + 6833872*h with respect to p.\nAnswer: -1236540*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205605873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0653 + -0.9347. Let z(y) = -y + 2. Let j be z(11). Let q be (1 + j)\/4 - -4. Which is the closest to m? (a) q (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8374.196 decades to centuries.\nAnswer: 837.4196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 - (9 - (-4 - -7))) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 + 9. Let g(p) = 3. Let t(y) = 6*y - 72. Let m(r) = 72*g(r) + 3*t(r). Calculate c(m(z)).\nAnswer: -1620*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1384 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - w**4 - 74*w**4 + 15*w**4 - 8*w**4 + 12*w**4 + (-2 + 0 + 1)*(2*w**4 - 6*w**4 + 3*w**4).\nAnswer: -55*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 1104*m**2 - 1100*m**2 - 3 - m in the form i*m + d*m**2 + f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(5\/2)))\/q)\/q**(2\/5))**(18\/13) assuming q is positive.\nAnswer: q**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.3, -18425, -2, -2\/5, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 3)*1*0. Let r(q) = 161*q + 485. Let a be r(-3). Suppose -a*b = -5*l - 14, j*b - 3*b = 4*l + 2. Solve 0 = 3*t - y + b, y - 2 = t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3145 - 4?\nAnswer: 3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 72, 2\/5, -0.2 in ascending order.\nAnswer: -27, -0.2, 2\/5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 6*i - 6. Determine x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:19 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -30 + 0*q**2 + 0*q**4 - 3*q**3 - 11\/2*q**6 + 0*q**5 - 7*q. Find the third derivative of v(r) wrt r.\nAnswer: -1980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1, -0.3, -1\/6, -4 in decreasing order.\nAnswer: 1\/2, -1\/6, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.95 + 0.05. Let u = b + -1.8. Let n = 0.1 - u. Which is greater: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + p = 255, -2*q + 7*p - 11*p + 512 = 0. List the prime factors of q.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*y**4 - 164*y**3 + 3*y**2 + 12*y - 478208131 wrt y.\nAnswer: 156*y**3 - 492*y**2 + 6*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*s + 142*s = 4*b - 22380, 3*s + 22373 = 4*b. What are the prime factors of b?\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/15290 and -111\/58102?\nAnswer: 290510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k - 79. Let c = 861 + -847. Let n be r(c). Solve 10 = -2*w + n*z - 0, -3*z = 2*w - 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 4. What is h(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -56.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1.04.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m**3 + 6*m - 4. Give i(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**3 - q - 13*q**3 + 0*q**3 + 5*q**3.\nAnswer: q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.02719 + -0.04119. Let m = 0.014 + x. Are 0 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12608808548 from 64.\nAnswer: -12608808484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*x = 35, 2*o - 5*x - 10 = -3*o. Suppose -2*n + 4*z + 65 = -13, -n + 39 = -o*z. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*r, 5*f + 11 - 1 = -5*r. Let j(s) = s**2 - 6*s + 1. Let i be j(5). What is the smallest common multiple of (33\/6)\/((-1)\/i) and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*-46*(-3)\/(-12). Let a = -23 + x. Calculate the remainder when 88 is divided by a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12519 and 1833.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 10 (b) 0 (c) 149\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 + 2)*(-3 - -2). Let t = b + -4. Suppose 3*m + a = 26 - 5, 21 = t*m + 4*a. What is the least common multiple of m and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2141270*h**4 + h**2 + 18208236.\nAnswer: -8565080*h**3 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 25 = p, 1450 - 1458 = -2*p + b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m - 3*x = 6, -5*x = m - 8. Let g = 1046\/3 + -1945\/6. Calculate the common denominator of m\/(-5) + (-471)\/40 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1600*i - 13. What is the tens digit of s(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.244689 - 1083932\nAnswer: -1083932.244689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 + x**3 + 5*x**2\/2 + 4*x - 219. Determine z(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -665.03 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/2))**(2\/69)\/((y\/y**(1\/3))\/(y**(-2\/11)*y)))**(2\/17) assuming y is positive.\nAnswer: y**(296\/12903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f*j**6 - 2*f*j**2 - 187*f*j - 37*j**6 wrt j?\nAnswer: 600*f*j**3 - 4440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -89?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**4\/12 + 4*h**2. Let a(g) = -8*g. Determine a(i(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-7)*z)*z*z**0)**25)**(-6\/7) assuming z is positive.\nAnswer: z**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -3*f - f. Suppose 51*l = 46*l - 330. Let w = f - l. What is the greatest common divisor of 50 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -100*n**2 - 1473*n - 1455. Determine b(-1).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 7 + 2 + 5 - 2.\nAnswer: 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(98\/343*7\/(-6))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -228 + 162 - (9 - (9 - -9)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 309*o**2 + 693*o - 306. Differentiate k(a) wrt a.\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {w: 7, q: 1, k: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*n + 3)*(-2*n + 4*n - 3*n) + 7 - 7 + 3*n**2 + (2*n + 2*n - 2*n)*(-2 - 2*n + 2) - n + n**2 + n - n**2 + n**2 - 2*n**2 - 2*n**2 - 2*n**2 + 5*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 16) in base 15?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -87988?\nAnswer: 55\/87988","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**9\/7560 + n**8\/4200 - n**7\/420 + n**6\/300 + 13*n**3 - 15*n**2. Let w(f) be the first derivative of t(f). Factor w(s).\nAnswer: 2*s**2*(s - 1)**2*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 98, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r - 2. Let h = -212 - -214. Let l(d) = -50679*d + 3*d**h + 50679*d. Calculate l(f(o)).\nAnswer: 768*o**2 - 192*o + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 8*i + 7. Let f be o(8). Let s = -175 - f. Solve n = 4*r + 23, s = -5*r - 0*r - 5*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -17563?\nAnswer: -17563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 47 = -5*s, -4*z - 3*s = -5*z - 16. Let m = 15 + z. Suppose -132 = b - m*p - 469, 674 = 2*b - p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k + 3*k + 6*k + 5*t - 12, 0 = -4*k + 5*t - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a - 75*a = -583 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 2*d + 132. What is v(0)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12510353 is divided by 38852.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**5 - 6*n**5 + 3*n**5 + (-n**2 - 3*n**2 + 3*n**2)*(-108*n**3 + 4778 - 4778))*(5 - 1 - 5).\nAnswer: -105*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c**3 + 9 + 27*c**3 - 10. Let v(b) = -b**3 + 10*b**2 + b - 9. Let u be v(10). Determine r(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4) - 0\/(-3). Which is the nearest to 1? (a) 0.5 (b) 2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9220\/25 + (-56)\/70. Solve g = 7*n + 340 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**2 - 26*f + 57. Let m be l(6). Suppose 4*b = 3*x + 1203, 5*x + m = b + 8*x. What is the greatest common factor of 24 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 7*a - 230. Let s(t) = -3*t**2 - 6*t - 229. Determine 6*m(x) - 7*s(x).\nAnswer: 3*x**2 + 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -650*h + 2. Calculate b(-1).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/144)\/(3\/2)*318\/371.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*w - 2*w - 291, g - 99 = 2*w. Let v = g + -91. Solve a + v*j = -3*j - 10, -a = -j + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1320, 2653, 3998, 5355, 6724, 8105, 9498?\n\"Answer: 6*x**2 + 1315*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12110001212 (base 3) to base 6.\nAnswer: -2144205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/1)\/10*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9951 greater than or equal to 10016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28064996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6\/r*(r\/((r*r**(-1))\/r))\/r*r)**13*(r**(1\/2)\/(r\/(r**2\/r)))**(-46) assuming r is positive.\nAnswer: r**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 224 = 26*b + 396, -b + f = -4*b - 74 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 28. Let g(d) = 0 + d**2 - 3 + 4 + 4*d. What is the units digit of g(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*y - 88. Let a = y + 26. Let i = a + -6. Solve -i*m - 2*j - 1 + 3 = 0, 0 = -5*m - 4*j - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**6\/40 + 5*t**4\/24 + 6*t**2. What is the second derivative of k(g) wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = -x, -2*x + 37 = -3*q + 34. What is the closest to -0.29 in q, -6\/7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -71258*d - 6*d**2 - 1 - 71253*d + 142513*d. Suppose -2*v + 9 = -5. Suppose -v*w + 4*w = -3. Give x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 10:32 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbnyfrrrrb. Give prob of picking 1 f and 1 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 17*p - 23. Suppose -29*x = -614 + 150. Determine n(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*k**3 + 52*k**3 + 61*k**3.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) 9\/11 (b) -1\/4 (c) -2\/7 (d) 1\/4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 + 11*f**4\/24 + 5*f**3\/6 + f**2. Suppose 4*h + 9 = h, 3*h + 3 = -k. What is the units digit of z(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.1 (c) -1\/4 (d) 1479.8 (e) 0.2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 15, w: 5}. Give prob of sequence wo.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 7 = o + 2*a, 2*o - 5*a - 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {a: 2, q: 2, p: 6, h: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1471065\nAnswer: 2\/1471065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + 5*u**3 - 5*u**3 + 24*u**4 + 27*u**4 - 2*u**4 + (3*u**4 + 3*u**4 + 2*u**4)*(-1 - 3 + 2) + 2 + 5*u**4 - 2 + 3*u**4 - u**4 - u**4.\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 11:07 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**4 + 378*q**3 + 1293*q**2 + 1?\nAnswer: 24*q + 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 70. Let x(u) be the third derivative of 0*u + 0*u**a + 0 - 1\/40*u**6 + u**2 + u**3 + 3\/8*u**4. Factor x(y).\nAnswer: -3*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*o**4 + o + 119 wrt o?\nAnswer: -1296*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -14 + 2. Let i be 2 + (y - (2 - -3)). Sort -2, -1, i in descending order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5910440 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252, -2, 0.5, -9, 5 in descending order.\nAnswer: 252, 5, 0.5, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5266497?\nAnswer: 3, 31, 56629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/3 and 76\/1116717.\nAnswer: 1116717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 38549353.5 minutes?\nAnswer: 3824.340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -819 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 101001001?\nAnswer: -100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c - 102. Suppose 42 = -j + 68. Let o = j + c. Is 30 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*u + 5692 = 414 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12040 = 8*y. Let r = 3873 + y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*82\/(-287)*(-14)\/12?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-78)\/(-52)*1\/4. Let r = -5 - -5. Let q = -4 + r. Sort -16, b, q in decreasing order.\nAnswer: b, q, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 17*k**2 + 4*k - 6. Let r(q) = q**2 + q. Let s(w) = -w**2 + 4*w + 1. Let p be s(4). Let v(g) = p*j(g) - 4*r(g). Differentiate v(b) with respect to b.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -462205653 + 5?\nAnswer: -462205645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.01 (c) 1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54379*o - 186 + 186.\nAnswer: -54379*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 8. Let m = -17 + 25. Let h be k(m). Factor -1 - 8*l**2 + 4*l**3 + 0*l**2 - h*l - 8*l + 33.\nAnswer: 4*(l - 2)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4084 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 58*y**2 - 13*y + 338. Let l(v) = 28*v**2 - 6*v + 156. Let r(p) = 6*i(p) - 13*l(p). Let g(c) = -114*c**2. Give g(r(b)).\nAnswer: -29184*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*w - 8554 = -811*w for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/60 - 3*u**4\/8 + 4*u**3\/3 - 2*u**2. What is the remainder when 22 is divided by z(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i**(1\/3)*i)\/i)*((i*i**(2\/5))\/i)\/i)\/(i**1)**(-47))**1)**(2\/25) assuming i is positive.\nAnswer: i**(1412\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 51749824?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -78, 0.16, 4\/5, 0.9, -2\/11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466071 = -4*w + 5*h, 5*w - 4*w - 5*h = 116514. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2907303278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -1301*v**2 + 10*v = 0. What is v?\nAnswer: 0, 10\/1301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -z - 53, -t + 5*z + 31 = 0. Calculate the lowest common multiple of t and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 + 167. Suppose -w*m - 5*x = -1623, -5*m + 2*x + 2705 = x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/180*-1)\/(4*(-28)\/3248) and ((-101)\/(-40))\/((-16)\/32).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7*b = 12. Let x = b + -6. Solve 0 = -x*v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14180294?\nAnswer: 2, 7090147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Suppose q = 7 + n. Calculate the remainder when q is divided by 3\/(-6)*(-56)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1561 and -47\/11596?\nAnswer: 81172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 + 5*u**2 + 9*u + 10. Let h be c(-5). Suppose h = 3*l - 72. List the prime factors of l.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34898562 + 767600079\/22. Let c = -7646 - i. What is the common denominator of c and 3 - (33\/(-2) - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cemcsmsccecss. What is prob of picking 1 c and 2 s?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 4*v**2 + 2. Let m be z(5). Let s = m + 116. Suppose -2*h - h = -s. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 595\/21 - (-2)\/(-6). Calculate the greatest common factor of v and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 45 - 45)*(2 + 6*n - n - 4*n) + 20*n**2 - 34*n**2 + 18*n**2 - 2*n**2 + 4*n**2 + 0*n**2.\nAnswer: n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) -70 (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/20 + m**4\/3 - m**3\/6 - m**2\/2 + m. Let n be j(-4). Let k be 3\/3 - (0 - 5). Solve k = n*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -21*s**2 - s - 2. Let a be v(-1). Let r be -11 + 0 - (a + 21). Is (r + -3)\/((-5)\/55) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*a - 25, 4*a + 15 = -j + 7*a. Solve v - o = -6, -4*v + o - 3*o - 12 = j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22613.0103 nanoseconds to days.\nAnswer: 0.00000000026172465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -8. Let f = n + -14. Suppose -f*u + 29 = 21. Solve a = u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3702313 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/(-9) - 7\/(-21). Let f be ((-16)\/(-12))\/(10\/p). Suppose 3*z = 4*c + 147, -c = -f*c. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 24165 = 5*r, -24*r - 3*n = -22*r - 9661. What are the prime factors of r?\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5*2 - (-5)\/(-1))*1. Put 1, w, -4 in decreasing order.\nAnswer: w, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110709524 not equal to 110709524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 486*d**2 - 78732*d + 4251528.\nAnswer: -(d - 162)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58553 divided by 4.\nAnswer: -58553\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 5. Suppose 4*o + 53 - 65 = h, -2*o + h + 6 = 0. Give v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -404581983*t**2*y + 434910832*y wrt t?\nAnswer: -809163966*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93984 and 176.\nAnswer: 93984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from pavamaacctvt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -36\/5. What is the third smallest value in q, 1\/3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -333 - 24?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5)\/q)**(3\/7)\/((q\/(q**(4\/7)\/q))\/q**10) assuming q is positive.\nAnswer: q**(297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 537164056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 8*k - 6. Let t be u(-5). Suppose 19*x - 6725 - 6685 = -13144. Solve -4*d = 3*r - t*d - x, -5*d = 2*r - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 317*r + 18340. Give a(76).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*s - 49 + 158 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmkppmpkkpp. What is prob of sequence ppk?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 291*c - 870. Give g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 4*r = -18, -r + 11 = -f + 17. Let h(z) = z**2 + z. Let v(l) = 99*l**2 + 55*l. Determine f*v(n) + 55*h(n).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 + -112. Let d(j) = j**2 + 5*j + 2. Let o be d(q). Is (178\/o)\/(4\/(-296)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*8\/(-5)*2\/24.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.5 (b) -2 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**7\/42 + 7*v**3\/6 + 4*v. What is the second derivative of y(a) wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 58 - 10. Let b = 43639\/6 - 7252. Find the common denominator of b and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(84) + (1*sqrt(84) - sqrt(84))*-1)\/(3*sqrt(24)\/sqrt(2) - sqrt(12)) + 2*1*(sqrt(175) + 1)*3.\nAnswer: 6 + 63*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x + 2*z = 468, 0 = -4*x + 3*z + 624. Let g = x - 103. Calculate the remainder when g is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1119 bigger than -1117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.1, -0.14, 2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8318 is divided by 1113.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.39489 nanograms in milligrams?\nAnswer: 0.00004839489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 48. What is the remainder when m is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1296, -5281, -11918, -21201, -33124?\nAnswer: -47681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/(-10)*(-32)\/(-128)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2832 and 5808?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 1116*d**2 + 6767*d - 39276. What is j(1122)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-459)\/315)\/3 - (-20)\/(-28).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-7 - -8) - (1 + -1). Solve j*d = 5*m - 5, 2*m + 2*d - 1 = -3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62104363109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2903 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.3 + -5.30067. Round x to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071156 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3 - 3)*((2*i - 1 + 1)*(-4 + 1 + 1) + 5*i - 2*i - 5*i) - 9*i**2 + i**2 - 19*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/4402575 and -32\/735?\nAnswer: 215726175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2296.9956 months?\nAnswer: 191.4163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*s - 4*f, 328*s - 333*s + 5 = -f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6) + 1\/6. Let t be (-2 + 2)\/(y - 2). Solve t = v - 2 + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63742.41 months in years?\nAnswer: 5311.8675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - -81) + 3 + -1. What are the prime factors of p\/4 - 2\/4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 6*s - 12. Let c be x(-8). Let d = 11 + -17. Let t = 8 + d. Solve -c*z + 20 = -r, -4*r = t*z - 8 - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/3 + 29*r. Let z(c) = 6*c**2. Give h(z(q)).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -16) + -25 + (0 - 3) - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by 1523.\nAnswer: 94\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0461 and -0.038?\nAnswer: -0.0017518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 5, x: 1, c: 1, m: 8}. What is prob of sequence wmww?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 10) to base 5\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.06.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z + 6. Let t be l(-2). Which is the nearest to t? (a) 3 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 165. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/60 and -17\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f*h**3*r**3 - f*h**2*r**3 + 2*f*h**2*r**2 - 60*f - 16*h**3*r**3 wrt h.\nAnswer: 36*f*r**3 - 96*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 40*n**2 - 35. Determine b(40).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6525937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**3 + 0*w**5 + 0*w**2 + 1\/4*w**4 - 1\/30*w**6 - 3*w + 0. Find the third derivative of n(p) wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8531*j + 366837. Give s(43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*j - 5*p + 6, -57 = -5*j + 2*p. What is the remainder when 1233 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -11 + -4 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 7. Let k be y(5). Let q = k - -4. Suppose -60 = -4*n + q*n. Solve 3*c + n = 3*a, 2 + 13 = 3*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 6. Let f be c(6). Suppose n - 2*m - 6 = 0, f = -n - 5*m - 7 - 1. Let a(u) = -u**2 - 4*u + 35. Let d be a(4). Solve -n = -5*l + d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214761 times -0.1\nAnswer: -21476.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(4\/(-157))*4. Let g be ((-1)\/2)\/(16\/d). Let a = -247\/16 - g. What is the common denominator of a and 151\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1311*h**2*t*w**3 - 2*h**2*t*w - 83*h**2*w**2 + h*w**3 wrt t?\nAnswer: 1311*h**2*w**3 - 2*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 208037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04603 and -2.\nAnswer: -0.09206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 182827 - 3*t - 138*t**2 + 3*t - 182824 as y*t**3 + c*t + h + p*t**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyrfkyrrfkr. What is prob of sequence rf?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7767 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -40. Let n = -224 + 242.7. Let k = o + n. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*j - 2 + 2)*(0*j + 0*j - 5*j)*(-j - 5*j + 2*j) + 2*j**3 + 0*j**3 - 5*j**3 - j in the form k + d*j + u*j**3 + h*j**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6548942 to the power of 1\/2, to the nearest integer?\nAnswer: 2559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(102) - (sqrt(102) + sqrt(102)*-2 - sqrt(102))))\/sqrt(6))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 3*k + 6 - 6*k)*(-1 - 2 + 1)*(4 + 3 + 1) to y + h*k and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in -8, 0, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2466.7 - 2466. What is the third biggest value in 1\/8, -4\/11, p?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-16) - ((-70)\/4)\/7. Let k(g) be the second derivative of g**5\/5 + g**4\/3 - 5*g**3\/6 + g**2 - g. Is k(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002465681 to 7 decimal places.\nAnswer: -0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*j + 2, -16*j = -12*j - s - 1. Suppose -5*h - 183 + 588 = j. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - 6*r - 4. Let o(s) = 2*s**3 + 7*s + 5. Calculate -4*o(x) - 5*p(x).\nAnswer: 2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 2. Let s = -18 + o. Let z = s + -17. What is the nearest to 0 in z, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 383*k - 382*k + 0*k**3 + 429*k**2 + k**3 in the form a + g*k**3 + h*k + m*k**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794548 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1552.2 * -28.3.\nAnswer: 43927.26","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-115)\/(-20) - (-2)\/8. Determine q, given that 21*q**3 + 6 + r*q**2 - 8 + 2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -648201*t. Let k(f) = f. Calculate q(k(j)).\nAnswer: -648201*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5660 - 34051\/6. Let q = 96 - 62. Find the common denominator of q\/(-6) - 2\/(-8) and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26847655 and 26847655 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 466674 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (180\/50)\/((-2)\/(-20)). Suppose 0*g = 4*g + t. What is the tens digit of (-681)\/(-9) - 3\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0503038 times -0.128\nAnswer: 0.0064388864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2641\/1794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -9*j - 25. Let t(r) = -2*r - 4. Determine t(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/63 and -11\/6286.\nAnswer: 56574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207 + 208 + (-62)\/58.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -930 divided by -5.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 - 2*z**2 + 2. Let t be v(2). Let w be t\/(-6) - 1*-7. Suppose -5*d = -2*d + 3, o - 30 = -w*d. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 33*k**2 - 10 - 4 as t*k**2 + d + b*k and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-110))\/(2\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21356, -21050, -20564, -19910, -19100?\nAnswer: -18146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3 + -6*-1*3*(sqrt(396) + -3)*1)*2)**2.\nAnswer: -48384*sqrt(11) + 525760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 - 2*h - 327. Let u be d(0). Let p = 329 + u. Suppose -3*v = 4 - 16. Solve p*j - v = m + 3, m - 7 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -1.1, 0.02, 0, 7, 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533781073 <= 2533781073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9783 and 9?\nAnswer: 9783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 + 1692*o**2 - 237120*o + 10997504 = 0. Calculate o.\nAnswer: 119, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**2 - 51*g + 1. Let x(t) = t**2. Give j(k) - 6*x(k).\nAnswer: 2*k**2 - 51*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12235, -12228, -12215, -12196, -12171, -12140?\n\"Answer: 3*i**2 - 2*i - 12236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 20 (b) 4 (c) 0 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134698 - 31196 = 993*x - 999*x. Calculate the highest common factor of x and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 1, -65, -2, -1255 in descending order.\nAnswer: 1, 0, -1, -2, -65, -1255","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort -16920978, 2, 5 in descending order.\nAnswer: 5, 2, -16920978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2 - 789*b + 24680. What is g(24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -39. Suppose -11 = -4*n + 13. Suppose 4*o = -n - 14. Put 3\/2, r, o in decreasing order.\nAnswer: r, 3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-87)\/24 - (-44)\/11. Sort y, -1\/4, 0.7, -5.\nAnswer: -5, -1\/4, y, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-28500)*-95)\/((-1)\/(1950\/(-18)))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/243776 and -73\/206272?\nAnswer: 2681536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21579 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7*f = 22. Suppose 6*a + 52 = f*a. Let x(y) = y + 2*y + 8 - 2*y. Let c(i) = -2*i - 17. Calculate a*x(n) - 6*c(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1 - 7 + 0 - i. Let g be f(-6). Let g*q - 2\/9*q**3 + 2\/9*q**2 + 0 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2128\/17 (b) 2 (c) 3 (d) 1.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -17*j + 2. Let m(c) = 8*c - 1. Let i(b) = -2*l(b) - 5*m(b). Let h(r) = 13*r - 3. What is 2*h(k) + 5*i(k)?\nAnswer: -4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 17 = -13. Suppose -k*j + 6 = -4. Solve 7*q + 3*h - 28 = 3*q, -16 = -j*q + h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.071, 0.18, -1, 3\/8 in descending order.\nAnswer: 3\/8, 1\/3, 0.18, -0.071, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/3))**(-12\/5)\/(c**(-4)\/c**(1\/6)) assuming c is positive.\nAnswer: c**(77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:02 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 5*l + 22. Give f(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-14) - (-16)\/(-56). Sort t, -2, -5.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -49.9. Let q = w - -18. Put q, 0.3, -1\/6 in ascending order.\nAnswer: -1\/6, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**5\/30 + 3*l**2. Let r(q) be the third derivative of 0*q + 0 + 0*q**3 + q**2 - 1\/12*q**4. Determine r(w(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 106, 2, 2\/285, 4299?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -6 (b) 2\/13 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/30 - f**4\/4 + f**3\/2 + 3*f**2. Let k be s(5). Suppose 2*z - 3*t = 37, 5*z - 2*z - k = -2*t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**3 - 26*j**2 - 62*j + 26. Let u(c) = -c**3 - 3*c**2 - 7*c + 3. Calculate -6*a(r) + 52*u(r).\nAnswer: 8*r**3 + 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133.8174cm to nanometers.\nAnswer: 1338174000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or 54?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 238 + 4*i - 117 - 115 - 2*i**2. Let m be j(3). Solve -4*y + 3*k - 16 = 0, m*y - 5*k + 15 = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*y + y - 14 = 0, 3*x = -3*y - 3. Suppose i - 2 = 4*f, x*i - 7 = f + 4*f. Is (4\/2)\/(i\/237) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 2. Let m be p(5). Suppose -m*n + 15 = 6. Solve 12 = n*j - 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 13. Let i be m(9). Let u(n) be the first derivative of 0*n**3 + 1 + n**2 + 1\/4*n**i + 0*n. Find the second derivative of u(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -403826 and -19.\nAnswer: 7672694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*c + 12. Let x be 4\/c + (-742)\/(-4). Suppose -2*s - 2 = 0, -5*s = -g + 4*g + x. Round g to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 4\/5*d**5 + 1\/3*d**3 + 0*d**4 + 0*d**2 + 25*d + 0. Find the second derivative of a(o) wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 39*f**3 + 4 + 46*f**3 - 2 as t*f**3 + y*f + n + p*f**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1375, 1376, 1373, 1366, 1355, 1340?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 525 - 330. Suppose -5*t - l = -5*i, 0 = -3*i - 0*i + 2*t + 122. Calculate the highest common factor of i and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Let n be 6 + -3 + (-2 - v). Solve 6*m + 4*x = 2*m + 4, m + n = -2*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 17 = -2. Let k(a) be the third derivative of a**5\/30 - a**3\/2 - a**2. Calculate the remainder when 59 is divided by k(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2009 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 8*t + 2. Let c be y(6). Let p = c + -2. Suppose 0 = -5*b + 4*k + p - 0, -3*b + k = -10. Solve -l + b = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.1, 0.0209, 3\/37?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 4*b**4 - 4*b**4 + 5*b**5 + 3*b**5 - 2*b**5 + (-b + b - 3*b)*(0*b**4 + 0*b**4 + 3*b**4) - 5*b**5 + 0*b**5 + 3*b**5.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4515.\nAnswer: -1\/1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -7.\nAnswer: 61\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*a = 142628 + 313312. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 49*j - 2249. Let y be t(46). Put -1, -3, y, 1, -267 in increasing order.\nAnswer: -267, -3, -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9682.\nAnswer: 2, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1169*y - 2767*y + 1143*y - y**3 to the form p + q*y**3 + d*y**2 + o*y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 - 2*y**3)*(3 + 3 + 2*y - 4).\nAnswer: -4*y**4 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553290920 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/16 and -113\/31884.\nAnswer: 127536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95 and -26.\nAnswer: -2470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5641, 4955, 4271, 3589, 2909, 2231?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*d + 5 = 0, -5*y = -0*y + 2*d - 19. Suppose 0 = y*c + 3*j - 651, 3*c + 3*j = -j + 656. Let i be (c\/(-6))\/((-2)\/6). Round i to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11*(-1 + (2 - -1)). Let v = b + 33. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 - 66*r + 45599. Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1534, -8383, -23956, -51655, -94882?\nAnswer: -157039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b = -68*b. Suppose -2*m + 5*w - 42 = b, 0 = 3*m - 7*m - 2*w - 36. Let p(v) = v**2 + 5*v + 25. What is the tens digit of p(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*x - 172 - 584 = 0. What is the remainder when 2377 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + -5 + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from iimmmmmmmmmmmmmmimim.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 5:00 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -2 (c) -0.07 (d) 0.2 (e) 4 (f) -0.1 (g) -0.0039\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-12\/5)*z)\/z**20*(z*z*z\/z**(-17))**3)**(5\/2) assuming z is positive.\nAnswer: z**(193\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 1 - (0 - 0). Let k(p) = p**3 + 11*p**2 + p + 8. Let x be k(-11). Suppose 7 + 8 = -3*g. Sort g, x, r.\nAnswer: g, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 31*v = 0. Suppose v = -0*t + 4*t - 24. Suppose h + 3*f = t*h - 392, 4*f - 60 = -h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -244?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8 - 2*q + 3*q + q**3 - 15*q**2 + 8*q**2. Suppose -3 = -3*y + 21. Let f be t(y). What is the greatest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + n**3 - 4*n**2 - 2*n + 2*n**3 + 3*n**4 + 5*n**2 to the form c*n**4 + y*n + p + b*n**3 + f*n**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*m + 122, 0 + 4 = -2*x. Let k = 65 - m. Suppose -k*o + 15 + 0 = 0. Solve -4 = o*w - 7*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17955446.\nAnswer: 2, 53, 233, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*i - 535241 = 201033 + 624646. What are the prime factors of i?\nAnswer: 2, 5, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 10359.\nAnswer: -51795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.187 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6 to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 32, 106, 250, 488, 844, 1342?\nAnswer: 2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 228*a**2 - 65*a - 540. List the prime factors of b(-8).\nAnswer: 2, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 5*a - 3. Let j be k(5). Let w = -323 + 310. Let v be (w\/(-65) - (-112)\/(-10))*-9. What is the greatest common factor of v and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1131 - 1099. Solve 4*z - 56*c = -61*c - b, 4*z + 8 = c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**18\/d*(d*d*(d*d**(-16)*d*d)\/d)\/d assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 + 72140941\/(-39). Let a = w + 1849722. Let t = -642\/13 - a. Find the common denominator of t and -61\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, 2, -2, 4, 46 in decreasing order.\nAnswer: 46, 11, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*x, 3*m + 2*x = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 + 43033231?\nAnswer: 43033042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l**2 - 9. Let y(n) = -1 - 1 - 6*n**2 + 2 - 4. Suppose 0 = -2*t - 3*s + 5, 3*s + 11 = 3*t - 4. Determine t*i(w) - 9*y(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 940610013 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -2 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -12. What is the common denominator of ((-5)\/(-20))\/(m\/(-20)) and 33\/64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3417 is divided by 172?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 588.\nAnswer: 19404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 270*g**2 + 2874*g + 28. Give b(10).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 15 = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 32 + -8 - (40 - 43)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14032 (base 5) to base 3\nAnswer: 1120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/5 + -4\/15. Let o = 7 + 4. Let r = 71 + -425\/6. What is the closest to o in u, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + 701606?\nAnswer: 701557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -35, 20 in increasing order.\nAnswer: -35, -9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + f**2)*(-25*f + 117*f + 76*f)*(-3*f + 3*f + 4*f).\nAnswer: 672*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/792 and 43\/80.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.2. Let w = -5 - -6.1. Let q = w - l. What is the smallest value in q, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 2. Let f(w) = w + 1. Let c(x) = 2*f(x) - s(x). Let l(p) = 7*p**2. Determine l(c(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 3 + (sqrt(162) - (sqrt(162) + -1 - sqrt(162) - sqrt(162))) - sqrt(162)*2*-1)*2 + 0)**2.\nAnswer: 1440*sqrt(2) + 16264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -31987.8.\nAnswer: 63975.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -4. Determine l so that 1 + 3*l**2 + j*l - 4*l**2 - l + 2*l**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 118300 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 0 (c) 49311.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.06233 tonnes in micrograms?\nAnswer: 85062330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = s + 90. What is the second derivative of 20*a - 2*a**3 + 54 - 53*a**3 - s*a wrt a?\nAnswer: -330*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(280)\/sqrt(7)*1 + sqrt(40) - sqrt(40))\/(sqrt(24)\/(3*sqrt(12))*-5))**2.\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 11*r - 3. List the prime factors of s(9).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38295 and 805?\nAnswer: 268065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502932, 1005869, 1508808, 2011749?\nAnswer: 2514692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 28*h - 688 - 511 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -530203*-0.3\nAnswer: 159060.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 166184720 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 22 = 3*a + 2*a, -26 = 4*a + 2*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3)*(c\/((c\/(c*c\/(c**(5\/6)\/c)*c))\/c)*c*c)\/c)**27 assuming c is positive.\nAnswer: c**(297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -155 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70.8 + 8.8. Let y = z - -42. Let c = 2\/187 + -191\/374. Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33012 and 266364?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 695961487 a multiple of 3133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5\/2 (c) 113.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*k + 1 - 4, k + 5*v = -19. Suppose 8 = -4*h - 0. Let i = h - k. Which is the nearest to -1? (a) -0.4 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -4, 9, -5, 0 in descending order.\nAnswer: 9, 4, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27473018 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opkk when four letters picked without replacement from popkkokokk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*h**3\/7 + 3027*h**2\/7 + 46107*h\/7 + 83133\/7 = 0.\nAnswer: -3, 3079\/345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 217 and 18?\nAnswer: 3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*g - 5 + 4 - 1 + 45*g in the form b + x*g and give x.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/40 - 9*d**5\/4 + 2*d**2 + 145. Factor z(a).\nAnswer: -3*a**2*(a + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 185048, 370099, 555150, 740201, 925252?\n\"Answer: 185051*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872301 < 1872282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26065\/6 + 4345. Let r = -0.01 - -3.01. Which is the smallest value? (a) r (b) 0.4 (c) 0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdsqwqbtd. Give prob of picking 2 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**3 - 29*w**4 + 28*w**4 + 10*w**2 - w**3 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Suppose 4 = 4*o - 6*w + 4*w, -g*o - 2*w = -10. Find the first derivative of -o - 2 - 3*f + 2 wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1240*g**2 - 547*g + 1038*g**2 - 650*g**2.\nAnswer: 1628*g**2 - 547*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 283 and 1240635.69.\nAnswer: 1240918.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -7 - (-6)\/(-2). What is the units digit of z\/24 - (-2730)\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmrggstmgsggssgszs. What is prob of picking 2 t and 1 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x + 5. Let m be a(-5). Suppose 9*n = 3*n + m. Solve -n = 4*t - 0*j - j, 2*t - 4 = -4*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -36. Suppose 0 = h - 5*l - 0*l - u, 3*h = 5*l + 122. Suppose h = 2*v + 4*r + 10, 0 = 2*v + 2*r - 24. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -12 + 3 + 3*a**3 + 0*a**3 - 4*a - 6*a**2 - 2*a**3. Calculate the remainder when 34 is divided by n(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 - (-3)\/(72\/51). Let y = -9866 - -9869. What is the closest to 0.1 in y, l, 1\/4, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 12*a - 33. Let m be u(-14). What are the prime factors of (8\/m)\/((-4)\/(-10)) + 55?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (6*sqrt(208)*-1 - sqrt(208))\/((sqrt(12)*3)\/sqrt(3)))*-1.\nAnswer: 2 + 14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -34*v**2 - 5*v + 2. Let q(a) = -33*a**2 - 4*a + 2. Calculate -3*l(g) + 4*q(g).\nAnswer: -30*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330103011223 - 2?\nAnswer: -1330103011231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(245)*1.\nAnswer: -3 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 32. Suppose 4*s + n = 16. Solve -20 = -s*w - w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*i + 26*i + 2 - 3*i**2 - i**3 + 27*i to c*i + q*i**2 + y*i**3 + p and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {s: 3, v: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 460 + -454. Let q(s) = -2*s**2 + 16*s - 12. Calculate q(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3628539?\nAnswer: 3, 53, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/10)\/((-45)\/(-25)). Let o = -19.1 - -26.1. What is the nearest to 0 in 2, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (sqrt(468) + sqrt(468)*2)*-4) - (sqrt(143) - (sqrt(143) + sqrt(143) + -1*-2*sqrt(143)))\/(sqrt(539)*-1))**2.\nAnswer: 119115477\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, -4\/9, 0.13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3169\/2? (a) -0.06 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6985 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Suppose 4*z - 6*z + 6 = g. Solve 2*p + 5*q - 13 = 2*q, -z*p - 2*q + 17 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2858.503 to 0 decimal places.\nAnswer: -2859","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 209 in -3\/5, 5, 0.8, -201?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-10))\/(((-3)\/1)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -230*x**3 + 14*x + 52. List the prime factors of o(-5).\nAnswer: 2, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - q = -11, -5*t = -3*q + 2*q + 17. Which is the closest to 1? (a) -0.17 (b) 4\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) -0.1 (b) 0 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19350, -27471, -35592, -43713?\n\"Answer: -8121*r - 11229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z. Let h(a) = 2*a**3 - 10*a**2 + 4. Suppose -6*x + 145 = 505. Let g be x\/(-4)*2*(-1)\/(-6). Let w be h(g). Let n(y) = 2*y. What is w*l(u) + 5*n(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 76, 194, 372, 616, 932, 1326, 1804?\nAnswer: 2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 27. Let f be y(0). Find the common denominator of -16\/11 and (291\/f)\/1 + -3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emme when four letters picked without replacement from eeeemememee?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*q - 5*u, -3*q = 2*u + 413 + 413 - 822 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373885 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40983537 is divided by 1951596?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 5*a**2 - 29*a + 88. Let s be k(7). Solve 55*d - 22 = s for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.78965438 - 5.4\nAnswer: -4.61034562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28387 - 28392. Let k = -0.24 + -0.06. Let s = 0.2 - 0.6. Put s, d, -2\/11, k in ascending order.\nAnswer: d, s, k, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = 0. Let b = 2954 + -11929\/4. Let v = -28 - b. Which is greater: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*d + 4, 73*d = 3*f + 72*d - 13. Sort -1, 0, f, -2, 3 in decreasing order.\nAnswer: f, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, a: 10, h: 1, f: 1}. Give prob of picking 2 a.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.276 + 0.176. Let t = u - -7.5. Is t <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:25 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2183 - 2186. Let p = 2.9 - 3. Which is the second smallest value? (a) o (b) -1 (c) p (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 396, 394, 392, 390, 388?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 264\/5. Let v = -721\/10 - -72. Let b be (-3)\/12 - 1 - -1. What is the biggest value in b, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -0.4. Let m = 0.4154 + -3.4154. Let g = -6 + 5.7. What is the closest to 0.2 in m, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 2*p. Let v be q(0). Sort 3, -6, v.\nAnswer: -6, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 3*z - 460 = 0, 5*p - 575 = -5*z. Suppose -p + 11 = -4*u. Calculate the remainder when 100 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 17. Let z(q) = -q**2. Calculate z(y(k)).\nAnswer: -k**2 - 34*k - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - (2 + 1 + 0). Factor y**p + 4*y**2 - 5*y**2 - 4*y**3 + y**4 + 3*y**3.\nAnswer: y**2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -14153?\nAnswer: 14152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 7*v - 11*v - 6*v + 23*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*p + 2*l - 10, 3*p = -5*l + 16. Suppose -15 = -2*s - 5. Find the third derivative of 4*h**3 + 0*h**s - 2*h**5 - 4*h**3 - h**p wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 295.5095 - 0.5195. Let x = 297.441 - 0.441. Let l = x - h. What is l rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8058216 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 2.1. Let d = -0.05 - -0.25. Which is the closest to 0.1? (a) d (b) 4\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 21. Let a be -4 + (-66)\/d + -3. Let u be 2 + ((-24)\/(-14))\/(-1). Put a, -2\/3, u in ascending order.\nAnswer: -2\/3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*1*(-15)\/(-15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 4, -395, 0.5, -5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 + 0 - (1 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1257, 0.3, -3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 6663*w\/2 + 2198570.\nAnswer: -(w - 605)*(w + 7268)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -871, -2635, -5875, -11035, -18559?\nAnswer: -28891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2767440 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -310506.5 * 5.\nAnswer: -1552532.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*((-183)\/(-6) + 0) is divided by 2470\/247 + (-62)\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 + 2051 = 80*q + 439. Let s(j) be the third derivative of -q*j**2 + 0*j - 1\/108*j**4 - 1\/90*j**5 + 0 + 1\/540*j**6 + 1\/9*j**3. Factor s(f).\nAnswer: 2*(f - 3)*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36 + (1 - (-1 + -2)). Suppose -2*w + y = 2*w. Suppose 0 = -5*s + 4*u + 6, 2*u = -2*s - u + 7. Solve 2*c - s = -w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5231405?\nAnswer: 5, 31, 33751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11675 and 802825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3. Suppose 4*p - 8 = -f*p. Suppose -39 = -p*z + 7. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) - ((sqrt(1539) - (2 + sqrt(1539)) - sqrt(1539)) + sqrt(1539))) + 5)**2 - (0 + (sqrt(76)\/(-2*sqrt(4)))**2).\nAnswer: 126*sqrt(19) + 6333\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 3*w. Suppose 3*f + 0*f + 18 = -a, f - 3*a - 4 = 0. What is the units digit of p(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 216 = 2*z. Suppose c = -5*k - z, -7*c = 2*k - 3*c + 18. Let r = -11 - k. Solve -10 = 2*g - r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 4*h**2 + 5*h**2 + 125.\nAnswer: 3*h**2 + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*m**3*s*u**2 - 26*m**3*u**3 + m**2*s*u - 132*m**2*s + m**2*u + m + 2*s*u**3 wrt m?\nAnswer: 762*s*u**2 - 156*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a4 (base 13) in base 12?\nAnswer: -7b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 454\/845 - 1614\/9295. Factor 6\/11*y**3 + f*y**2 - 2\/11*y + 0.\nAnswer: 2*y*(y + 1)*(3*y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4507 + 4522. Suppose -5*m - 11 = 14. Put m, w, 2 in decreasing order.\nAnswer: w, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746460843.\nAnswer: 3, 61, 71, 73, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(3 + o - 3) + 132*o - 48*o + 39*o + 4*o + 0*o - 2*o + (3 + 2 - 7)*(-31 + 2*o + 31) to n + r*o and give r.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-3 - -1) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 50*s + 2. Let i(x) = -100*x - 5. Let l(j) = -3*i(j) - 7*n(j). Let w(o) be the second derivative of -o**3\/2 + 28*o - 51. What is l(w(b))?\nAnswer: 150*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 2)*(l - 3*l - 3*l) + l + 0*l + l in the form j + m*l and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 8:30 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2060?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 4 + 4. Let i(x) = -2*x + 3. Suppose -2*b - 22 = -4*p, 3*p - 2*b + 0*b = 19. Let d(o) = 3*o - 5. Let w(h) = p*d(h) + 5*i(h). Determine w(l(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 16)*(r + r - 3*r)*(-141 - 25 + 35).\nAnswer: -1441*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 591, -26, 1188?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 196*g - 2025. What is c(186)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let s(m) = 86021*m**2 - 48*m + 78. Let b(g) = s(g) - u(g). Let j be b(18). What is j rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.83 and -2303.\nAnswer: -2303.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiiaiieae. What is prob of sequence ieoe?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8338335 and 542975.\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.135 (b) 163 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -86, -172, -258, -344, -430?\n\"Answer: -86*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -222122001 (base 3) in base 9?\nAnswer: -28561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -0*m + 3*m. What is the highest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-7) + (-1044)\/(-2016)*32?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvsysgyyssggsyssvsss. What is prob of sequence vgy?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1114485 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(-8)\/(32\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73.1 - 73. What is the nearest to 4 in 0.5, 0, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -368\/9 - -2209\/54. Let q = t - 16\/135. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8, 0.4, 0.1, 2\/33, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**10*h**(1\/6)*h**(2\/3) assuming h is positive.\nAnswer: h**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 28*z**2 + 161*z + 15. What is n(9)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 13. Suppose -5*s = -5*x + 15, -5*s + 4 = 5*x - b. Calculate the common denominator of (-1)\/x + 41\/44 and -33\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -47, 4, 1, -1, -14.\nAnswer: -47, -14, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Suppose -q + 4*p + j = 0, -q - 3 = -2*p - 5. Solve -2 = 2*u - q*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 - -0.8. Let p(x) = -x**3 - 4*x**2 + 1. Let t be p(-4). Let y be (-9)\/6*t\/6. What is the third biggest value in 4, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 208548 divided by -18\nAnswer: -11586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 6*q + 2. Suppose -84 = 22*o - 19*o. Let a = 24 + o. Determine v(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 3*u - 8. Determine x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 + -251. Let z = 118 + d. Solve -5*i + 0*i + 5 = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 220, 213, 204, 193, 180, 165?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*i**2 - 9593*i + 7074613 wrt i.\nAnswer: -80*i - 9593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129356 is divided by 1571?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, 4\/33, 2?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s + 6. Let d = 60341\/5 - 12068. Determine b, given that -5*b**5 - 41\/5*b**s + 9*b**4 + 24\/5*b + d*b**3 - 4\/5 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4200)\/480 - (-5)\/1)*-4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 32*z - 34. Let q = -772 + 787. Determine l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -223876*l - 2. Let u(q) = 4*q. Determine n(u(r)).\nAnswer: -895504*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 + h + 1. Suppose 0 = -5*p + p. Suppose -4*l = -p*l - 20. Suppose 2*q - l*o + 11 = -16, 0 = -q - 5*o + 24. Calculate d(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(1\/3))\/f)\/f)**(3\/13)*(f\/(f\/(f\/f**0))*f)**(4\/7) assuming f is positive.\nAnswer: f**(111\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115566 or -121281?\nAnswer: -121281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20 + 143\/52)\/((32\/6)\/(-8))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/28*(-42)\/(-9))\/(34\/102)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 3, 308, -177?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 6822?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1757 + 1047*h**2 + 4*h**3 + 1757.\nAnswer: 4*h**3 + 1047*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*k - 72, 5*w - k + 15 = 105. Let y be (w\/2)\/3 - 1. Let d = 59\/2 - 30. What is the smallest value in y, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 - 4*q + 2. Let v be c(4). Let r = 2 + 1. Suppose -4*p = t - 12, t - 22 = -3*t - 3*p. Solve r*y = t + v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/(-135))\/((-2)\/(6\/(-4) + 4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 149, 241, 353, 491, 661, 869, 1121?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1668 = 17*k + 916. Let z = k - -3495\/23. Is -1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:37 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 2*b + 270. Let q be 6\/(b\/12 - 3). Suppose 0 = l - 4*t - 115, 2*l + 5*t - q*t - 245 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 0*x**4 + 6\/7*x**7 + 0*x + 0*x**6 + 0*x**5 + 4 + 2\/3*x**3 + 0*x**2. Find the third derivative of q(w) wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, -0.5, 18, -3\/10 in descending order.\nAnswer: 18, 0, -0.2, -3\/10, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(3*g - g - 3*g) + 3 - 2*g + 5*g - 2*g.\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*h - 5. Suppose -582 = -5*f + 2*o, o - h*o + 460 = 4*f. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let n be (-248)\/(-18) - (-2)\/9. Let a = -5 + n. Calculate the least common multiple of a and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 60.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/3*(3249\/(-38))\/(-19). Solve -2*k + c = -5*h - 6*k, -3*h + 2*k - 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 389856 and 516336.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1405470, -1405761, -1406052, -1406343?\n\"Answer: -291*d - 1405179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (44\/(-10))\/((7 - -18)\/(-375)). Are d and 0.034 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -49*x + 2. Let s(n) = 7*n**2 + 10*n. Let b(r) = 6*r**2 + 8*r. Let f(w) = 5*b(w) - 4*s(w). What is u(f(a))?\nAnswer: -98*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)\/l)**41)**(25\/4) assuming l is positive.\nAnswer: l**(-9225\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -42115?\nAnswer: -42113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1912188, -1912158, -1912104, -1912014, -1911876?\nAnswer: -1911678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 + 44*s - 62*s + 5*s - s**2 + 2*s**2 as x + u*s**2 + i*s and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -54*g + 31\/2 + 3\/4*g**3 + 365\/8*g**2 = 0.\nAnswer: -62, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/41, -0.6, 4, 1\/5, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let b(a) = -a**2 + 2*a + 5. Let o(w) = -b(w) + 3*r(w). Let s(d) = -11*d**2 + d + 2. Let c be s(-1). Is o(c) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*y - 6 = -86*y. Solve 2*b + 10 = -4*p, -p - 2*b - y = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 12. Let z(b) = -5*b + 2*b**2 - b**2 + 18 - 36 + p. Calculate the remainder when z(-5) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1450, -1227, 2356, 10979, 26322, 50065, 83888?\nAnswer: 129471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**3 - 221*u**2 + 5*u - 36065.\nAnswer: 3*u**2 - 442*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 17. Let s be (-12)\/32*(-2)\/3. Which is the nearest to s? (a) 5 (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5194 + 5194.0002667. Round i to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -273*g**3 - g - 3381?\nAnswer: -819*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 312, 999, 2334, 4533, 7812?\nAnswer: 12387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3.1831 (b) 1.1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, m: 13, k: 4}. What is prob of sequence imim?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 3*r - 2*r**2 + 2455 + 4786.\nAnswer: -2*r**2 + 7241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68216.\nAnswer: 2, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 12*b**2 + 42*b + 5. What is i(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 43*c. Let y(q) be the third derivative of -q**4\/24 + q**3\/3 - 28*q**2. Let o be y(0). Let x(k) = -k**o - 20 - 9 + 29. Calculate v(x(m)).\nAnswer: -2*m**4 + 43*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.35596949 to 1 decimal place.\nAnswer: -49.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 u, 1 b, and 1 e when four letters picked without replacement from tmtxbxmemmmmmmtbu.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -211302003032 (base 4) in base 11?\nAnswer: -5655300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(((-120)\/(-180))\/((-1)\/39)).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3 + 45*u**2 + 566*u + 2160 = 0.\nAnswer: -27, -10, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768590 divided by -5.\nAnswer: -153718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-252)\/15*1900\/(-456) and 1442.\nAnswer: 7210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 - -135. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1652425, -1652410, -1652369, -1652290, -1652161, -1651970, -1651705?\nAnswer: -1651354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*b - 20 = 0, 0 = 3*i + b + 9 - 14. Suppose 4*u - 40 = 2*t, i = 3*u + 5*t - 18 + 1. Solve -u = 2*j - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -731 - -740. Which is the closest to k? (a) -1\/17 (b) 3 (c) -0.1 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108392384?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4 + 2*v + 8 + v - 5*v. Let l(t) = t - 2. Let r = 19 + -13. Let m = -30 + 43. Determine m*l(n) + r*z(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455 divided by -491?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 + -241. Suppose -4*z - 26 = -3*u, -5*u + 4*z + m = -5. Solve -2*r + 12 = -u*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slsslsss. Give prob of sequence lss.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 545 - 544.92. Which is smaller: m or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {x: 2, l: 3, f: 10}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, 0.2, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620943 is divided by 4851?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26288, 52366, 78482, 104654, 130900?\n\"Answer: 3*j**3 + j**2 + 26054*j + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154080, 169803, 185534, 201279, 217044, 232835?\nAnswer: 248658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 2*n**3\/3 + 4*n**2 + 10. Find q, given that y(q) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5286498505 to the nearest integer?\nAnswer: 72708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -10 (b) -1\/2 (c) -2\/14425 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 113 = 132. Let p = -35 + h. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 108.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.427832 to one dp.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1752*x + 10157.\nAnswer: -1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(4\/30). Let w(v) = -v - 1. Let t(r) = r - 7. Let h(i) = t(i) - 2*w(i). Let j be h(l). Solve 0 = -0*d - 5*d + j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14139 divided by 130?\nAnswer: 14139\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 14*o**2 + 9*o + 2. Let y be k(8). Does 21 divide (-20)\/(-25)*y\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.42 + -1.72. Do b and 0.36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.12905 millilitres to litres.\nAnswer: 0.02712905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-10)\/n)\/n)**40\/(n*n*(n**(6\/7)*n)\/n)**35)**(-39) assuming n is positive.\nAnswer: n**22620","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**3 + 2*h**2 + 2. Let u be (14\/21)\/(2\/18). Let q(b) = -81*b**3 - 33*b**2 - 33. Determine u*q(c) + 99*r(c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 155, 248, 341?\n\"Answer: 93*j + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1968, 2157, 2346?\nAnswer: 2535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 3*g = -30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -948 = 2*y - 2636. List the prime factors of y.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -34806a39?\nAnswer: -34806a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 100055 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfhfhhfbbhf. Give prob of sequence fhhf.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/4))\/q)\/q**(-12\/11))**49 assuming q is positive.\nAnswer: q**(1813\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2400, -10, 3 in increasing order.\nAnswer: -2400, -10, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -91*i. Let s(z) = 27*z - 8. Let x(y) = 10*y - 3. Let o(b) = 3*s(b) - 8*x(b). Give o(j(q)).\nAnswer: -91*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/10*(-825)\/(-99)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.588 - -0.988. Suppose -4 = -3*g + g. Suppose g*m - 3 = -2*h - 1, 4*m - 32 = 3*h. Which is the biggest value? (a) -0.5 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 2309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.02947408.\nAnswer: -0.005894816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4136289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1 + 3) - -16. Suppose -v = -w - m, 9 = -4*w + w. Let k = 3 + 0. Solve 0*u + k*u = v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:54 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 62.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1801523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58720 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13818 = -12*g + 5*g. Suppose -14*f + 7*f = -g. List the prime factors of f.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 200 = o, 5*z = 5*o - 96 + 426. Let m = 166 - z. Calculate the remainder when m is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2079210 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14*((-7392)\/(-196))\/33\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*g**4 - 2*g**4 + 3 - 4 + (3*g**2 + g**2 - 2*g**2)*(0*g**2 + 4*g**2 - 2*g**2) + 0*g**4 - 2*g**4 + 0*g**4.\nAnswer: 11*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 5)*(26 + 50 + 34)*(-17 + 17 + 7*j).\nAnswer: -4620*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/343 + 3800\/3087. Let x = 59132\/21 + -2817. Calculate the common denominator of c and x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13029 or 14185?\nAnswer: 14185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 17 = 723*f - 722*f, -5*y - 3*f - 5 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 24*d**2 + 23*d + 53. Let o be w(25). Solve o*s - 4*t + 5 = 11, 4*s - 8 = 2*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.09, -0.01, -0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 3*p**2 + p**2)*(2 - 4 + 4 + (2 + 1 - 2)*(-7 + 2 + 2) + 3 + 4 - 5) - p + p - 2*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*i + 17404 = -49*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -21*v**2 + 5*v - 5. Suppose -2 = d, 2*t - 6 - 2 = 4*d. Suppose t*u = -5*u - 55. Let w(x) = -4*x**2 + x - 1. What is u*w(y) + 2*l(y)?\nAnswer: 2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 3*r**2 - r + 4. Let v = 11 - 7. Let w be q(v). Let y = w - -8. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - f = 125, -5*f + 1 = -4*f. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108674 is divided by 1109?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**4\/5 + 13664*i**3\/5 + 1189028*i**2\/5 + 4592016*i\/5 + 4537296\/5 = 0.\nAnswer: -81, -2, 3501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*b + 21*b + 925 + 19*b + 42*b**2 - 27*b with respect to b.\nAnswer: 84*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 8:52 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*l - 28. What is the remainder when 1*(-38)\/(-4) + (-18)\/l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(-j**5 + 4*j**5 - 2*j**5) + (-2*j - 3*j - 1 + 4*j)*(-8*j + 8*j - 5*j**4).\nAnswer: 2*j**5 + 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 150, 359, 664, 1071, 1586, 2215?\nAnswer: 2964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + 4*r + 79 - 4*r - 2*r - 26 as o*r**3 + a*r**2 + x + i*r and give x.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -698 times 0.07?\nAnswer: -48.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + y = -0*y - 3, 5*y = -3*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10.67. Let k = y - 0.33. Let v = 1 + -1. Which is the third biggest value? (a) -5 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13937*v**6 - 4*v**3*z**2 + 11*v**2*z**2 + 21*v**2*z - 3*v**2 + 23*v*z**2 + z**2 wrt v?\nAnswer: 1672440*v**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 15, 3, 415, -5 in descending order.\nAnswer: 415, 15, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 181, 748, 2323, 5410, 10513, 18136, 28783, 42958?\n\"Answer: 84*k**3 - 21*k + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13710186 divided by -2097\nAnswer: 6538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 13956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 65858 - 13630 = 0. List the prime factors of f.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 929 = 847*j + 13546 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:43 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 184 = 2*s - 2*q, -2*q = 0. Let i be (-5 + (-1 - -4))\/(2\/s). Suppose -5*l = 2*o - 6*o + 86, i = 4*o - 2*l. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115\/6 + -19. Let x(w) = w + 9. Let v be x(-7). Let z = 0.29 + 0.01. Put q, v, z in descending order.\nAnswer: v, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12072414 - 4?\nAnswer: 12072410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28978272.\nAnswer: 2, 3, 239, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -m - 5*g, -6*m + m + 20 = -5*g. Solve m*u = -w + 19, 4*w + 0 - 4 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7408*g**3*j**2 + 130441*g**3 - 18*g*j + j**3 - 17*j**2 wrt j.\nAnswer: -14816*g**3 + 6*j - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32\/2431 + 1734934\/60775. Does 28 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 782*n*u**2 - 4*n*u - 694*n - 38470608*u**2 with respect to n.\nAnswer: 782*u**2 - 4*u - 694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 + -0.01. Let y = 0.03 - h. What is the smallest value in -0.4, y, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30260*381.16\nAnswer: 11533901.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -770954\/419 - -1840. Let x be (-4)\/1257*(275348\/160 - 9). Let o = f + x. Find the common denominator of o and 58\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3719\/9 + 415. Let g = -29\/18 + f. Let p = 0.7 + -0.4. What is the third smallest value in p, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 58144181.\nAnswer: -4\/58144181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 17 = -31 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130936)\/(-13104) - (-2)\/252.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*h - h - 214, h + 5*i + 41 = 0. Let q be h*(-4)\/(12\/3). Let w = 54 - q. Which is the biggest value? (a) -4 (b) w (c) -2\/13 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/146397743 or 1?\nAnswer: -2\/146397743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311 (base 9) to base 5.\nAnswer: -12412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -47*x**6\/30 - x**5\/10 + x**3 - 3*x**2\/2 + 46*x + 2. What is the second derivative of o(h) wrt h?\nAnswer: -564*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5081 - 5091. Which is the smallest value? (a) p (b) 1 (c) -5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237374509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((1 + -6 - 0) + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/((-4 + 1)\/21). Let t = i - 19. Let c = -32 + t. Solve 4*u + k + 5 = 7*u, -u + c*k = 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 170537496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23757, 23694, 23637, 23586?\n\"Answer: 3*p**2 - 72*p + 23826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 2*z + 674 - 324 - 327 to the form u*z + c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a millimeter in micrometers?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 838 + 368 = 0. Is 67 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12392790.\nAnswer: 2, 3, 5, 413093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-1*(12\/(-30))\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 274 + 314 = 5*y, -4*u = y - 103 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 plus 135468605076?\nAnswer: 135468604865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 443416 and 2.\nAnswer: 443416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 1944.9.\nAnswer: 1944.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -14*u + 84. Solve -10 = -u*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3326014\nAnswer: -5\/3326014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81066101759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216511?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 21. Let g = 2 - r. Let p be 4 - (2 + (1 - 3)). Solve -p*t = -2*t - g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/2 + 218*t**2 - 1514*t + 912.\nAnswer: (t - 6)*(t + 152)*(3*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641622 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k. Suppose -2*r - 3*d = -2 + 1, -4*r - 2*d = -6. Suppose -b = 2*b + 2*y - 73, -r*y - 8 = k. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.97 + 11.63. Let s = q - 17. Round s to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 1 + 4)*(2 - 6 - 4)*(5*j - 5*j + 8*j)*(-4 - 5 + 5) to the form y + f*j and give f.\nAnswer: -2048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 7:42 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**6*r*r\/((r\/r**(-7))\/r))\/(r**7\/r**(1\/5))*((r*r**(-2\/7))**(-30))**38 assuming r is positive.\nAnswer: r**(-29088\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 2*h**2 + 26*h - 17. Let d be y(-11). Let b be (-24)\/d - (-5)\/3. Solve -13 = -m - b*r, 5*r - 5 = 2*m + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32908320 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/120 - p**5\/15 - p**4\/24 - p**3\/3 + 23*p**2. Calculate h(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Suppose -o*f + 0*f = 0. Solve -b + 5*b = -20, 5*n - 5*b - 20 = f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.53 (b) 0.5 (c) -2\/7 (d) 182\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20))**2 + sqrt(5) + sqrt(500)*-5 + sqrt(5).\nAnswer: -48*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77992853 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/716550 and 103\/786?\nAnswer: 93868050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 872260911 to the power of 1\/3, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -20, -6*w + w - 25 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a - 3*t = -27, -2*a + 2*t = 4. Let o be 1*(-2)\/6*-3. Let m = 3 + 2. Solve -m = -a*s + o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17431, -69728, -156907, -278974, -435935?\nAnswer: -627796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6 + 0 - 4 - 16*j + 7*j. Let d(x) = -8*x + 1. Let y(g) = -4*b(g) + 5*d(g). Differentiate y(w) with respect to w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187488, 374978, 562468?\nAnswer: 749958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 680560 - 1.\nAnswer: 680559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 4\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (-380)\/(-57)*147*(-60)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57315, -2, -25, 4 in decreasing order.\nAnswer: 4, -2, -25, -57315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4374601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619 + -1619 + (1 - (-5 - -30))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 163 + 6 + -1835 + 1697.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 j when three letters picked without replacement from pnaazjaananznpzna.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 13*a - 15*a + 12781, 0 = -4*a - 5*p + 25577. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**5\/2 + 385*k**4 + 12665*k**3 - 72010*k**2 + 95025*k\/2 + 131805 = 0.\nAnswer: -101, -58, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*b = -100 - 155, 5*m - 275 = b. What is the remainder when m is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let m be 0 + 3*(z + 3). Suppose m*u + 1 = 4*j, j + 3*j = 5*u - 9. Solve 4*v = u*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 + 4*q. Let s be b(3). Let t(d) = -2*d**2 - 5*d - 1. Let w(g) = 2*g**2 - 3*g + 0*g + 4*g + 1 - g**2. What is s*w(u) + t(u)?\nAnswer: u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q + 6. Let d(s) = -2*s + 13. Let p be d(6). List the prime factors of q - (-58 + -4 + p).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*z = 111*z + 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -455*o + 1186. Let q be x(2). Calculate the highest common factor of q and 1725.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06631886 - 466855.9.\nAnswer: -466855.96631886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 18\/65217293?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxxxxxxxwexwwwk. What is prob of sequence kek?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 - 7*j + 5. Let n be g(4). Suppose 296 - 84 = 53*o. Solve -k = o*k - n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 352*t**3 + 208*t**2 + 38*t + 2.\nAnswer: 2*(4*t + 1)**2*(11*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6398*b - 6826667. Calculate x(-1067).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 divided by -37?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7833520 divided by -1566704\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43872 is divided by 237.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.0551 - -0.0551. What is the second biggest value in -20, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -908, 26.\nAnswer: -908, -9, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2093 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 - 29*h + 32 - h**3 - 90 + 14*h**2 + 40. What is the tens digit of w(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555.17534 rounded to 1 decimal place?\nAnswer: 2555.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2201*g + 2198*g + 294. Calculate the lowest common multiple of g and 1176.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 2. Let l(x) = 9*x - 17. Let g(a) = 6*l(a) - 51*r(a). Let v(i) = i**2. What is v(g(m))?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -3*x**2\/2 - 4. Let p(r) be the first derivative of 0*r**2 + 0*r - 2 + 1\/3*r**3. Determine o(p(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = 12*a + 442. Solve i + a*i = 3*k, 16 = 3*k + i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let d = -3 + m. Let x = d - -5. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*m + 681*m - 43 - 222*m - 226*m.\nAnswer: 27*m - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -5*h + 14. Let u(y) = -9178*y - 19. Let l be u(h). Suppose 6*v - 111527 = l. Round v to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0*v)**27\/(v**1)**(1\/62))**22)**(-2) assuming v is positive.\nAnswer: v**(-36806\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8775 - -3.8775. What is the third smallest value in 0.4, -5\/4, 0.041, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-6)*9\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200648 + -71.\nAnswer: -200719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17693 + 19509. Which is smaller: 7 or h?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/376)\/((-2)\/(-8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 3640?\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, s: 1, l: 3, g: 2, r: 1}. Give prob of picking 2 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3))**(18\/7) assuming c is positive.\nAnswer: c**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1868232300 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2928147 is divided by 4390.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (90\/60)\/(62\/(-60) + 1). Let r = 85 + t. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c. Let d(t) = -t. Suppose o = 4*o - 36. Suppose -4*j - o = -8*j. Let w(p) = j*d(p) + 3*v(p). Let x(k) = -k. Give w(x(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + 17*t**2 - t - 14. Let u be (5 - 0 - 4)*42\/1. Suppose 6*q + u = -0. What is the units digit of y(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(117)*-6 - sqrt(117)))**2*-3.\nAnswer: -8802 + 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2756753 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1127*m - 3120 = -407*m - 15360 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -26*c. Let l(a) be the second derivative of a**3\/6 + 12*a. What is w(l(u))?\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/1862674709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -684 - -712. Suppose -26 = -5*u + 25*w - z*w, 0 = 3*u + 4*w - 20. Solve u*c + 0 = -4, 5*d + c - 14 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -22*t**3 - 5*t**2 - 5*t - 3. Let h(y) = -23*y**3 - 4*y**2 - 4*y - 2. Let s = -22565 + 22569. Calculate s*g(p) - 5*h(p).\nAnswer: 27*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/9, -26, -23 in decreasing order.\nAnswer: 2\/9, 0, -23, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10749702 - -10749699.9999994. Let l = 2 + r. What is l rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 14 - 15 = 2*m, -2*m = -4*r + 38. Let j = 249 - r. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 3\/4, 65, -4, 2\/9, -5.\nAnswer: -5, -4, -3\/7, 2\/9, 3\/4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - b**2 + 9*b**4)*(b - 34*b + 4*b).\nAnswer: -261*b**5 + 29*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - h = -7, -4 - 3 = -w - 5*h. Calculate the lowest common multiple of w and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/3)\/3 - 13. Let s = 7.4 + -7. Let n = 0.4 - s. Does n = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4 and 85\/878.\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1\/2 (b) -5 (c) -2\/15 (d) 0 (e) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.889719us?\nAnswer: 0.004889719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 + 97. Let l = -1.1 + 1. Which is the second smallest value? (a) -2\/23 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.27 in -2\/11, 2\/7, 2\/15, -3721?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -791*i**2 - 1375*i - 2508. Differentiate u(m) wrt m.\nAnswer: -1582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**3\/6 - 2*k**2 - k - 8. Calculate y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*w - 31*w + 25*w)*(-w + w - w)*(-3*w**2 + 2*w**2 + 0*w**2 + (w + 5*w - 4*w)*(w + 0*w + 0*w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935321.\nAnswer: 241, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -167504, -167469, -167408, -167321, -167208, -167069, -166904?\n\"Answer: 13*j**2 - 4*j - 167513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -490.4 + 490. Which is the closest to 1? (a) 1\/2 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 59084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6767.\nAnswer: 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 1, j: 1, p: 1}. What is prob of picking 1 p, 1 c, and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2897*c**4 - 1465*c**4 - 1496*c**4)*(-1 + 0 + 3)*(4 - 3 + 1)*(3 - 5 + 3)*(3 - 5 + 1).\nAnswer: 256*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1496)\/616 + -15 + 20\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spyrd. What is prob of picking 1 y, 1 d, 1 s, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (299142 - 15*j - 5*j**2 - 299142)*(-2*j + 3*j - 3*j).\nAnswer: 10*j**3 + 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -3 in ascending order.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - i - 1 = 0, -2*u + 3*i = -5*u + 3. Let x(n) = 8*n**2 + 8*n**2 + 2 - 2*n**2 + 2*n - 4*n**2. Calculate the remainder when 27 is divided by x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177228?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0, 7, -4\/7, -0.55?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51652 and -110.1.\nAnswer: -5686885.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2 - z**3 + 3 - 4 + 10 - 2*z. Calculate the remainder when 2 is divided by u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13771*k**3 + 27*k**2 + 23*k - 1 wrt k.\nAnswer: 82626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -2*z**3\/3 - 118*z**2 - 234*z + 2070. Factor b(a).\nAnswer: -2*(a + 1)*(a + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 21*p + 43. Let v be q(-23). Let c(i) = -i**2 - i + 10. List the prime factors of c(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 350 - 361. Do -0.1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4980 and -17\/2490?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17661 rounded to the nearest one hundred?\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24147 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*m + 16 - 16)*(-10 - 2 - 9) + m + 2*m + 3*m.\nAnswer: -372*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 16292790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -238*n + 2862. Let c be v(12). What is the second biggest value in c, -58, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6819 or 6831?\nAnswer: 6831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488682204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630, 1041, 1466, 1905, 2358?\nAnswer: 2825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**6\/120 + q**5\/20 + q**4\/8 + q**3\/3 - 22*q**2 - 4. Give l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 40?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 75078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by -2?\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 1:24 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.62 (b) -3 (c) 0.4 (d) -0.21 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337*-0.06.\nAnswer: 20.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.0116 + -0.2934. Round j to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 49*m**2 - 1080*m - 2163. Give n(-2).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952980 is divided by 2330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.1 rounded to 0 decimal places?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23245.925 + 24163. Let z = u - 486.726. Let p = 430 - z. Round p to 2 dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24\/139 - -187\/278. Let g be ((-16)\/(-36))\/(40\/12). Which is the second smallest value? (a) -1\/2 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08816 + 5.\nAnswer: 4.91184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -4*n + 270. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4666493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 210. Let q(i) = -i. Let a(o) = -h(o) + 6*q(o). Let n be a(0). Suppose k = -2*r + 94, 3*r - n + 59 = k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 7}. What is prob of sequence rarr?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*o + 123 + 27, 0 = -5*i + 5*o - 250. Let x = -34 - i. Calculate the smallest common multiple of x and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 + 0*a**4 - 2*a**4)*((4 + 0 - 3)*(0 - 2 + 4) - 2 + 0 + 1).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 500*z - 15. Let l(x) = -20502*x + 612. Calculate 204*k(b) + 5*l(b).\nAnswer: -510*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, o: 1, u: 3, x: 4, t: 1, n: 5}. What is prob of sequence bnnt?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 3*d**2 - 2*d. Let w be m(2). Suppose w*r = -r. Suppose 10 = -5*f - 0*g + 5*g, r = -3*f - 5*g + 26. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14963*r**5 - 6352*r**2 wrt r?\nAnswer: 897780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2*3\/6*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 + -11. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.1, -5, -22232, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -51\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -2)*(-24)\/(-4). Let n be 50\/3*l\/(-10). Suppose 2*o - b = 24 + 16, 5*b + n = o. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 g when three letters picked without replacement from puuguggggggguuu?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y*y\/(y*y**(-1\/7))*y*y)\/y)**(-3\/16)\/(y**(3\/4))**(-4\/19) assuming y is positive.\nAnswer: y**(-429\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.08, 1\/3, -2, 991, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 36547 (base 8) to base 4\nAnswer: 3311213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14957 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - b - 2828 = -5*b, -4*f - 3*b = -5636. Suppose 3*c = -v + f, -4*v - c + 3*c = -5680. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let p(f) be the first derivative of f**2\/2 + 36. Determine l(p(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/15 and 65\/113904.\nAnswer: 569520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -11*y**3 + 314*y**2 + 5154*y - 149025. Determine w(28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4412 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Let n(l) = b + 6 - 7. Let m(a) be the second derivative of a**4\/6 + a**3\/3 - 3*a**2 - 36*a. Calculate -m(i) - 4*n(i).\nAnswer: -2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26.5 times -2780696\nAnswer: -73688444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - 2.06. Which is the nearest to v? (a) -2\/3 (b) 1\/10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10708\/20 - 6\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 4*o + 3. Let p(q) = -5*q**2 - 21*q + 16. Let l(r) = 11*n(r) - 2*p(r). Determine l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**3\/6 + 4*d**2 + 2*d. Let r be q(6). Suppose r*w + 35 = 5*i, -6 = -i - 2*w + 1. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + ((sqrt(108) - (sqrt(108) + sqrt(108)*-2*-4))\/sqrt(6))\/((sqrt(66)*-2)\/sqrt(11) - sqrt(6) - (5*(sqrt(6) + sqrt(24)\/sqrt(4)) + sqrt(6)))).\nAnswer: -4*sqrt(3)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/3 - 64*j\/3 = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -26. Let c = 31 + 47. Let m = 90 - c. Calculate the highest common divisor of m and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7995321\/5 + -1622980423\/1015. Let p = 480\/7 - r. Sort 0, p, -3\/8 in ascending order.\nAnswer: -3\/8, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 23 = 2, -4*k = -4*q - 28. Solve -k*g - 2 = -0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 958418428 a multiple of 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -1)\/((-15928)\/(-5973)*3\/8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 11 = -2*g + 6, 4*g = -4*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1136 divide 2319712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 209900 to the nearest one thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -17*w - 51. Let z(a) = -a**3 - 34*a**2 - 62*a + 61. Let c be z(-32). Let n be q(c). Solve n = -o - 4*o + 2*t - 3, 2*o - t = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3) + (8 - 10) + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 86. Suppose 0 = -5*s, -40 = -0*p - 2*p + s. Give l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*2*15\/(-6). Let b be 0 - (u*1)\/1. Let t = -7 + b. What is the remainder when t is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251248 divided by -3718\nAnswer: 125624\/1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-2)\/2 - -2. Let g(x) = -5*x**j - 6*x**3 + 0*x**3 + 2*x**3 - 5*x. Let q(h) = -2*h**3 - 3*h**2 - 3*h. What is 3*g(u) - 5*q(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -2, -838.\nAnswer: -838, -9, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6754 + -0.0434. Round j to 2 dps.\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2886*i = 1024*i - 59584 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268 - -276. Suppose -6*b - 104 = m. Let g = 89 - b. What is the remainder when g is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3732959 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 125511905.\nAnswer: 125511907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3088 - 3543 - 1659 + 1764)*(2*p**3 - 2*p**3 + p**5).\nAnswer: -6526*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3005 + 7896718.\nAnswer: 7899723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46442 (base 11) to base 15.\nAnswer: 14d20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 3*y - 0*y, -2*q + 29 = 5*y. Let i(j) be the second derivative of 0 + 2*j - j**3 + 5\/2*j**2 + 1\/12*j**4. Give i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3bfe76 (base 16) to base 12\nAnswer: -13973b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*q**2 - 28 + 28)*(2 + 0*q - 2*q**2 + 3*q - 2*q).\nAnswer: -94*q**4 + 47*q**3 + 94*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 15) to base 7.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/1051 and 37\/1649019.\nAnswer: 1649019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3387341 - -2853759. What is i rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126064000 to the nearest one million.\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -13) + -11 + 10 - (0 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 4, 3, -30 in decreasing order.\nAnswer: 12, 4, 3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 8:17 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*d*n*t**2 - 5*d*n*t + 67*d*t**2 - 55*d*t + 7 wrt t?\nAnswer: 66*d*n + 134*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373 + 377. Let w(o) be the second derivative of 35*o**3\/2 + 25*o**2\/2 - 3*o. Is w(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5389.031 - 199.955. Let b = -5199 + t. Let x = b - -10. What is x rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(2\/11)\/k)\/(k*k**(-2\/13)))**(10\/9))**(-17))**(-8\/3) assuming k is positive.\nAnswer: k**(-323680\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23503 divided by -16346.\nAnswer: -23503\/16346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*d + 17 = 100 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Let c = 4 + -2. Let q = c + -2. Is t bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49427228, -49427223, -49427218, -49427213, -49427208?\nAnswer: -49427203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c. Let l(f) = -10*f - 2. Give l(h(i)).\nAnswer: 10*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b + 14. Let g be a(-3). Solve 4*f - 3*x - 12 = f, 0 = g*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 - 37*w + 10. Let p be o(-13). Let v(j) = -32*j + 14. List the prime factors of v(p).\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15213\/3209 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 408488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 76*h + 36*h = 551 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8415\/4 + 2122. Suppose 0 = 5*s - 7*s + 80. Calculate the common denominator of o and 2 - ((-314)\/15 - 16\/s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnhnnhhnhhnh. What is prob of picking 3 n and 1 h?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 85. Let l = 51 - a. Does 3 divide -2*l*((-6)\/(-9) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 + 260*k**2 - 980*k + 960 = 0. What is k?\nAnswer: 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7291, 114 in ascending order.\nAnswer: 1, 114, 7291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6935454 and 5394242?\nAnswer: 48548178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 42 + 162. Suppose 5*s - b = 58, -5*s - 34*b + 30*b = -68. What is the greatest common divisor of y and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 9*r**4 - r**4 + 0*r**4 - 9*r**4 + 2*r**2 as m*r**2 + u*r**4 + k*r**3 + o*r + z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701021029 less than -34127?\nAnswer: -1701055156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 124774583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211394*q + 4 = 211398*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 12*h**2 - 13*h - 11. Let q be k(-1). Find the third derivative of -3 + 14*o**2 + 0 + 1040*o**3 - 1073*o**3 + q wrt o.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 36, 1104, 3, -2, 5 in increasing order.\nAnswer: -2, 3, 5, 9, 36, 1104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/6 - 0)\/(1\/542)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -4*n - 176. Suppose -18 + n = 4*g. What are the prime factors of (g - (-35)\/(-14))\/(1\/(-62))?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6630, -13138, -19644, -26148, -32650, -39150?\nAnswer: -45648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*g - g + 5*u, 5*g - 24 = 4*u. Suppose -12*p + 88 = -g*p. What is the greatest common divisor of p and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 - -0.047?\nAnswer: -359.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/15 + 1243*g**5\/5 - 4973*g**4\/16 + 1865*g**3\/12 + 3723*g**2. Solve a(o) = 0.\nAnswer: -1865, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 12:25 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8652.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (692\/(-1211))\/((-12)\/(-294)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 3. Let o be (-5 - k) + -3 + (-9)\/11. Put -4, -3, o in ascending order.\nAnswer: -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43602, -43606, -43610, -43614?\nAnswer: -43618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31709 divided by 4?\nAnswer: 31709\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.32 + 16. Let d = z + 0.3200007. Round d to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62*(-13)\/(-845)*65?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 6. Suppose 4*i = -2*l - 0*l - 20, i = -s*l - 14. Let m(r) = -6*r - 1398. Let y(b) = 5*b + 1197. Let q(x) = -6*m(x) - 7*y(x). What is q(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -428, 2\/7, 0.4, 10, 112, -1\/10 in increasing order.\nAnswer: -428, -1\/10, 2\/7, 0.4, 10, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508.5174 milliseconds to nanoseconds.\nAnswer: 508517400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s - 1 = 0. What is the nearest to -1 in s, 2, 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*f**3)*(-24175*f - 8755*f + 1 + 38828*f - 38506*f).\nAnswer: -65216*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 0*j**2 - 17*j**2 + (j - j - j)*(0 + j + 0) + j**2 + 0*j**2 - 2*j**2 - 2*j**2 - j + j + 2*j**2 + 0*j**2 + 0*j**2 as b*j + y*j**2 + m and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*q + 34 = -2*q, 128 = 3*u + q. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m*m*((m\/(m\/((m*m**(-9)*m)\/m)*m))\/m)\/m)\/m)*m)**(22\/5)\/(m*m\/m**7*m*m*m*m*m)**(-3\/17) assuming m is positive.\nAnswer: m**(286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 948241.7 meters?\nAnswer: 948241700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0 - 2*c + 6*c - 3*c - 5. Give l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57955109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41164 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4) + 2004\/16. Let y = n - 58. Suppose 2*p - 6*p + y = 0. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -24*y**2 + y**2 + 5*y**2 + 2*y**5 + 22*y**2 - 2*y**4 + 2*y - 4*y**3 - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1424 and 8003592.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80552*a - 44825 = 79756*a + 29999 for a.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*z - 6. Calculate the least common multiple of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -20. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 0.2, 4 in descending order.\nAnswer: 134, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 619 + -619.1. What is the smallest value in -1\/2, 4\/5, 3, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/16*-2)\/(1\/110). Let s = -53 - c. Suppose 50 = s*n - 60. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 0, -352 = 5*f - 2*t - 4733. List the prime factors of f.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvx when three letters picked without replacement from opvxnbvb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/10)\/1)\/(78\/15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - 0) + (-12 + (-3 - -1) - (-155 - -142)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*l - 3*l. Suppose -16 = -2*u + l. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((4 - 2)*(-4)\/2)\/(-1). Suppose -5*f = d*i - 50 + 14, 4*f - 5*i = 37. Suppose 10*s - 366 = f*s. What are the prime factors of s?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*q - 3*q - q)*(2 - 4 - 2) + (4*q - 5*q - q)*(84 - 6 + 9))*(-4 + 4 + 2*q).\nAnswer: -364*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Suppose m = -5*p - z, 2*m - m = -4*p - 4. Let y(w) = -w - 1. Give y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*3*4 + 5.\nAnswer: 5 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 2*i**2 + 2*i - 2. Let t be q(3). Solve -2 = 2*c - 10, 5*v - t = -5*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1570 - 1574. Put 5, 9, 19, f in decreasing order.\nAnswer: 19, 9, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1052 divided by 26844\nAnswer: 263\/6711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from cmmnnmmfmmmmmfmy.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 30 = 5*x - 89, -5*y - 5*x + 215 = 0. Suppose -34*w = -46*w - y. Sort w, -89, 2 in increasing order.\nAnswer: -89, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264 + -95. Suppose -355 = -2*l + b. Let k = l - 2932. What is k rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 10*g**2 + 56*g**3 + 35*g**3 + 14*g**2.\nAnswer: 91*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -5 (b) 5 (c) -2\/415\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153.4 + -169. Let f = n - -15.600069. What is f rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 233*j**4\/12 - 403*j**3\/6 - 552*j**2. Differentiate x(b) wrt b.\nAnswer: 466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18073 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 8 = -10*y. Let p = y - -4. Do p and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 484 in increasing order.\nAnswer: -7, 5, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-3912)\/2400*5 and -15\/808?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72*207\/(-3726))\/(2\/(1\/4*-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 15.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 6. Let g(p) = -13 + 6 + 3*p - 6*p. What is -4*g(y) - 5*z(y)?\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - -1.1. What is the closest to 6 in i, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34685377.\nAnswer: 34685377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90032, -179776, -269520, -359264, -449008, -538752?\nAnswer: -628496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvaab. What is prob of sequence gaba?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 21472\nAnswer: -7\/10736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -9 + -8 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {z: 1, q: 2, l: 2, o: 1, k: 4, i: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**4\/12 - t**3\/2 - t**2 - 492*t. Suppose 5*p - 5*a - 2 = -17, 3*p + 9 = -2*a. Determine h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**6\/120 + o**5\/4 + 3*o**4\/4 - 49*o**3\/6 - 5*o**2 + 2. What is the hundreds digit of h(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -251 + 254. Solve -y*u = 3*h - 2*u - 7, -6 = -2*h - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -142645, -138070, -133495?\n\"Answer: 4575*t - 147220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:57 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9133.48 millilitres in litres?\nAnswer: 9.13348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333102263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*u + 2655, -2631 = d - 6*d - 3*u. Suppose 0 = -3*t + 5*o + 167, -5*t = -3*o - 74 - 215. Calculate the remainder when d is divided by t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -83 from -604.\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1438 and 35531542.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -491.8 and 0.70415.\nAnswer: -346.30097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8\/19, -4, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 5.3478831?\nAnswer: 2.13915324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29940 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -13*u + 12. Let q be m(-6). Find the common denominator of -143\/24 and q\/150 + 986\/(-60).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65435238, 65435236, 65435232, 65435226, 65435218, 65435208?\n\"Answer: -f**2 + f + 65435238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-4 + 2) - ((-32 - (5 - 7)) + 28)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2736) - (2 + sqrt(2736)*2 - sqrt(2736))) + -4 + (sqrt(2736) + 4 - sqrt(2736)) + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/16 and 67\/6615930.\nAnswer: 52927440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m - 63403624. Let f = 24650906 + m. Round f to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 2*j**2 - j**3 + 59*j - 4*j**2 - 642*j.\nAnswer: -j**3 - 583*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 8:09 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 64\/17*h + 2\/17*h**4 + 130\/17*h**2 + 0.\nAnswer: 2*h*(h + 1)**2*(h + 32)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1072 - -1069.212. Round q to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*x + (-x - 2 + 2)*(-5 + 0 + 1))*(17*x + 25*x - 66*x) + (0*x + x - 3*x)*(-3 + 3 - x) as c*x + v*x**2 + j and give v.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.11069 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1689626 or -4\/7?\nAnswer: -1689626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*i + 45. Let p = i - 372. Let y = p + 560. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/2)\/p))\/p*p\/p**(5\/6))\/((p*p**(-2\/11))\/(p\/(p\/p**(-2\/7))))*(p**(-6)\/p)\/(p**(-4\/7)\/p)*(p*(p*p**(-1\/2)*p*p*p)\/p)**(1\/7) assuming p is positive.\nAnswer: p**(-2017\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 e when three letters picked without replacement from {e: 8, p: 5}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 1446345?\nAnswer: -1446333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3)*-4)\/(70\/(68600\/(-98))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**3 + 2*y**2 - 29 - 6*y**3 - 2*y**3 + y**3 to h + a*y + c*y**3 + x*y**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 500001.82 and -0.3.\nAnswer: -150000.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/120 + m**5\/30 - m**3\/6 + 3*m**2. Let l be a(-1). Is l > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-24))\/(191\/1146*(-18)\/(-4))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/16)\/(33\/(-22))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -26, -50, -90, -152, -242, -366?\n\"Answer: -v**3 + v**2 - 10*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021589 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.35971 * 0.24\nAnswer: -0.0863304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-4 + 7) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 434, 862, 1278, 1676, 2050?\n\"Answer: -l**3 + 435*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20352*-2.\nAnswer: -40704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 693523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/6 (b) 6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 2*c + 2*c**2 - 2*c**4 - 6*c to the form a*c**3 + p*c + z*c**2 + v + o*c**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23506601 (base 7) in base 2?\nAnswer: 111111101011000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.1. Let x be (-52)\/48 - (-6)\/8. Let d be 5\/3 - 2\/3. What is the closest to i in d, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*g - 3*g - 2*g)*(2 - 5 + 2 + (-9 - 3 + 50)*(4 - 4 - 3)).\nAnswer: -1495*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 15. Let s be 7\/(21\/(-12)) + (-9 - -18). Solve -3*n - 9 = 3*a, -z*a + 5*n = a + s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ypeyyyyeeeyyy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101874.5 + -101866.09062. Let i = l - 8.4. Round i to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*u - 75 = 0, -1994*u + 1989*u = 16*c + 116 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 95*t**7\/42 + 455*t**3\/6 - 281*t**2. Differentiate o(y) wrt y.\nAnswer: 1900*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 + -93. Let c(w) be the third derivative of -1\/12*w**k + w**2 + 0 + 0*w**3 + 0*w. Let j(v) = -2*v. Determine j(c(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -1.3.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 1:22 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 45232 and -170.\nAnswer: 45062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -13 + (-5 - -24 - 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1755*l - 703. Let q(i) = 24570*i + 9800. Let w(h) = -4*q(h) - 55*v(h). Differentiate w(m) wrt m.\nAnswer: -1755","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14310 - -14314. Let n(d) be the second derivative of 0 + 13\/12*d**r + 0*d**2 - 4*d + 0*d**3 + 11\/20*d**5. What is the third derivative of n(o) wrt o?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 2*k**5\/15 - k**3\/6 - k**2\/2 - 4*k. Let v(w) be the first derivative of c(w). Determine v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-26))\/1)\/(31\/(-434)*546\/104).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-2 + 51\/30). Suppose -4*o - 4 = -4*x, -8 = -3*o + x - 11. Which is the third smallest value? (a) t (b) o (c) -4\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 734346, 734344, 734342?\n\"Answer: -2*y + 734348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 17 = 54*n - 50*n, -3*b = 2*n + 11. Sort -3, 0.47, n, -2 in decreasing order.\nAnswer: 0.47, -2, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*h**4 + 122*h**3 - 25241*h?\nAnswer: -276*h**2 + 732*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (2 - 2)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 89. Let d be 2\/((-28)\/(-13) - (-6)\/q). Are -4 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*f + 1 = -253*f. Let k(t) = -t**3 + t**2 + t + 1. Let o be k(2). Let i be o*1\/7*f. Is i > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -7*m**4\/24 - 13*m**3\/2 - 3*m**2 + 10*m. What is b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 52*l - 776. Let a be f(0). Let g = 1652 + a. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 542.2723 milligrams?\nAnswer: 542272.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 167*r**3 - r**2 - 3*r - 1. What is f(-1)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37985*m**2 + 135677*m wrt m.\nAnswer: 75970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 8. Let i be y(2). Suppose -3*b + 8637 = 3*u, 5*b - 7*u + i*u = 14403. What is b rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.65343 minutes?\nAnswer: 0.0108905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 32*y + 2. Let t be g(3). Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 393272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*m - 22 = -6, 3*r = -2*m + 8. Suppose -5*u = -3*u + 4*i - 266, r*u + 4*i = 552. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -46*m**3 + m + 1. What are the prime factors of l(-1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -l. Let q = 3 + -2. Let f = 4 - q. Solve -f*c + l*c = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 70447?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 47723719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33562818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4463161.\nAnswer: 113, 127, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 18 - -38 - (1 - -2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23678, -23962, -24244, -24524?\nAnswer: -24802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let o(j) = 5*j. Suppose 16 = g + 5*r, -3*r = -g - 0*r + 8. Let i(b) = b. Let a(m) = g*i(m) - 2*o(m). What is k(a(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(7) + 3 + (sqrt(112)\/sqrt(4))\/sqrt(4))**2 - (sqrt(252) - (sqrt(252) - ((sqrt(252) + -1)*4 + sqrt(252) + sqrt(252)))**2)*-1.\nAnswer: -6312 + 246*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at least 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 54\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2, -188 in increasing order.\nAnswer: -188, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(-36) - 1\/(-4). Let w = -1\/305 + -599\/3355. What is the second smallest value in c, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (((sqrt(153) + sqrt(153) + -2)**2 + sqrt(153))*-2 - sqrt(153) - sqrt(153)) + (sqrt(153) - -2*sqrt(153)*5)**2).\nAnswer: 180*sqrt(17) + 86425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6)*b\/(b*b*b*b\/b**5*b*b*b))**(-12) assuming b is positive.\nAnswer: b**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 3. What is the tens digit of (j\/3)\/(14\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/112*(-1845)\/(-198) + 4\/44\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673904?\nAnswer: 2, 7, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2255\/312 + 35\/39. Calculate the common denominator of 19\/34 and g.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88598, 354440, 797502, 1417778, 2215262, 3189948, 4341830, 5670902?\nAnswer: 7177158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 14 = 6*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8994, 17986, 26978?\nAnswer: 35970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**5\/5 + 2*o**2 - 6*o. Differentiate y(r) with respect to r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tps when three letters picked without replacement from {t: 1, p: 3, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 3*n**5\/40 + 5*n**4\/32 - 7*n**3\/16 - 3*n**2\/8 - 148*n. Factor c(j).\nAnswer: 3*(j - 1)*(j + 2)*(4*j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.0322\nAnswer: -0.0322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let g = -12 + 7. Let f = 8 + g. Solve -y = -f*t + 7, j = -2*t + 6*t + y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.06 + -1.15. Let r = p - -0.21. What is the biggest value in 0, -4, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k**2 - k - 1. Let m = 12 + -13. Calculate s(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 603*p - 595*p. Solve p*r - 3 + 5 = -j, 2 = 5*j - 2*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 269*c**2 + 2*c + 389*c**2.\nAnswer: 658*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.096987 microseconds in seconds?\nAnswer: 0.000004096987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522595 is divided by 2789.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*((2 - 0) + 1). Let q be ((-54)\/5)\/(c\/(-10)). Let j = q + -20. Calculate the remainder when 30 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 2*x**6\/3 - x**4\/6 + x**3\/2 + 2552*x**2 - 15*x + 95. What is the first derivative of z(d) wrt d?\nAnswer: 80*d**3 - 4*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -863*v**3 + 851*v**3 + 12*v**2 - 23 - 10*v**2 wrt v?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v - 52. Calculate x(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y*y**(-31))\/y)*y**4\/y*y assuming y is positive.\nAnswer: y**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*h**4 - 453*h**3*k - 9581*h**2*k - 5*k wrt h.\nAnswer: -1704*h - 2718*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 22 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 + -22222221?\nAnswer: -22221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**2 + 12*q + 3. Let o(p) = 21 - 23 + 5*p**2 - 8*p + 2*p. Let s(d) = -d**3 - 13*d**2 - 38*d + 13. Let t be s(-8). Determine t*f(x) - 5*o(x).\nAnswer: 2*x**2 - 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**3 + 582715*b + 582762*b + 0*b**3 - 1165477*b.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, m: 3, r: 1, l: 1}. Give prob of picking 1 r and 2 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, f: 1, p: 1, x: 1, b: 1}. What is prob of sequence xpfp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162*b**3*t**2 + 29*b**2*t - 2269*b**2 + 2*b*t**2 + b*t + 1361*b - 59*t**2 + t + 13 wrt b.\nAnswer: -972*b*t**2 + 58*t - 4538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 50, -3420, 130, 1, 4 in ascending order.\nAnswer: -3420, -4, 1, 4, 50, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 19*a - 683. Determine k(35).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167432986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2. Let q(n) = 2*n**3 + 6*n**2 + 87*n + 142. Let c(o) = -6*i(o) + q(o). What is the first derivative of c(a) wrt a?\nAnswer: 6*a**2 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(80) + 5 - (sqrt(80) + 0 + sqrt(80)*-1)**2))*-5.\nAnswer: -30 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*((t\/t**(-1\/4))\/t*t)\/t)**45 assuming t is positive.\nAnswer: t**(-315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 62*q + 16. Let g be k(8). Suppose -9*a + 15*a - 72 = g. What is the remainder when 82 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*18\/(-540) + 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.767 + 4.\nAnswer: 4.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96943\/51 - 1901. Which is the second smallest value? (a) -1 (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(0\/2 - -2). Let o = 342 - 321. Let y = 4 + -1. Solve -5*k = -4*a - o, -4*k + t*k = -y*a - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpppppmpmmmmpm. What is prob of picking 3 m?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - 1552*t + 46888. Give g(33).\nAnswer: -1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418 divided by -103.\nAnswer: 418\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6915 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015\/145 - (-4628 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 603, 5452, 18603, 44208, 86419, 149388?\n\"Answer: 692*y**3 - y**2 + 8*y - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 8:41 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q + 16. Let w(k) = -7*k - 17. Let b(u) = 6*l(u) + 5*w(u). Let x be b(-9). Suppose j - 15 = -5*v - 4*j, 2*j + 26 = x*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (3 + 3 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -678 by 113.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-2 - (-10 + 6) - (-6 + 4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f - 4. Suppose 3*w = 12, -f*v - 4*w + 112 = -28. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:58 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1555066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759 and 3450.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1505 is divided by 210?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 9. Suppose -t*g = -4*g - 3728. Let o = -35370\/19 - g. What is the common denominator of o and -69\/2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*x**4 + 2*x**2 - 4*x - 10731?\nAnswer: 276*x**3 + 4*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716898273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.072378 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 + 123. What is the third derivative of -227*i**c + 12*i**2 + 4*i**4 - 74*i**2 + 224*i**6 wrt i?\nAnswer: -360*i**3 + 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**2 + 4*v - 3. Let q(l) = -l**2 + l - 1. Let p(i) = -n(i) + 4*q(i). Let u be p(1). Let j(o) = o**2 + 6. Is j(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119*2*-1*11\/(-154))\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1359682 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-3)*t)\/t)\/t)\/t*(t\/t**(3\/5))\/t)\/(t**(-1\/2)\/(t**(-1\/4)\/t*t))*(t*t*t**5*t*t*t\/t**(-1\/9))\/(t**(-4\/3)*t**(5\/3)) assuming t is positive.\nAnswer: t**(2057\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 2*o - 10. Let y be u(4). Suppose -y*a - 15 = -11*a. Sort -1, 5, a.\nAnswer: a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + 10 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/21 of a week?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 < 173895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2981 + -2950. Solve 0 = -5*j - 4*i - y, -2*j - 4*i + 0*i = 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*d - q, 95 = d + 8*q - 3*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.6203ml in litres?\nAnswer: 0.0516203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 j when four letters picked without replacement from {s: 4, j: 3, w: 11}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r + 5*g - 439, 2*g + 411 = r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from xghxmxxrxhhmxm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 - 4680*q\/11 + 678698\/11.\nAnswer: -2*(q - 137)*(q + 2477)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 18 = -s, 0*s - 2*q + 2 = 5*s. Suppose s*d + 56 = 6*d. Let a = 44 - 17. Calculate the remainder when a is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13563 divided by 10?\nAnswer: 13563\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*j = 18*j + 166152. Suppose j - 11366 = -13*c. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 36566*c - 6740*c + 5331*c.\nAnswer: 2*c**2 + 35157*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128268 is divided by 195.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(34 - 34 + 74*w)*(-2*w**2 - 1 + 1).\nAnswer: 444*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-6 - -1))\/(-3)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 20. Let j be (-2)\/(-6) + 1083\/t. What are the prime factors of ((-4)\/(-5))\/((-8)\/j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24739 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 100581109073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320161 - -0.1.\nAnswer: -320160.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.421173 months in years?\nAnswer: 0.53509775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (-5 + -9)) + -25 - -6\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150718, -150720, -150722, -150724, -150726?\nAnswer: -150728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 15) to base 14.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, 19, 3, -2, -272 in descending order.\nAnswer: 19, 3, 1, -2, -25, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 213.3076s?\nAnswer: 213307600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19533 is divided by 4474?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3 + 145*a - 2 + 4 - 155*a. Let j(z) = z**2. Give j(l(k)).\nAnswer: 100*k**2 + 20*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 15110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 + 8*b**2 + 10*b - 18. Let u(n) = -n**3 - n**2 + n - 1. Suppose 0 = -16*z + 3 - 19. Let m(l) = z*h(l) - 6*u(l). What is q in m(q) = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -12*o - 47. Let r(d) = -12*d - 46. Let x(b) = 3*r(b) - 2*y(b). List the prime factors of x(-14).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 63 + 104 = -112. What is the highest common divisor of b and 873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/2205 and 17\/882.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1 - 4 = 0. Let m = 14 + -22. Let u = 7.9 + m. What is the biggest value in j, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881*p**2 - 567*p**2 + 1858*p**2.\nAnswer: 2172*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from kklmzmmmzkzmklmlzkm?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 5 = 13. Let s = -8 + 12. Let x be s\/1*(-10)\/8. Sort x, b, 0 in decreasing order.\nAnswer: 0, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-18)\/(-63) + 2\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 3*g + 60. Let v be ((-66)\/(-4))\/(15\/g). Calculate the highest common factor of v and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 10*p - 12. Let y be l(-8). Solve 0 = 5*s + 5*t, -2*s + 5*t + 3 = -y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*p**4 + p**3 + 68*p**2 + 1153280*p.\nAnswer: -204*p**2 + 6*p + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106*-0.131.\nAnswer: -13.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f**6 + 4*f**5 - 2*f**2 - 4*f. Let y(k) = 8*k**6 + 3*k**5 - 2*k**2 - 3*k. Let s(m) = -3*c(m) + 4*y(m). Find the third derivative of s(i) wrt i.\nAnswer: 960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12198\/2587 at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 805 - -a075?\nAnswer: a87a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002255379294 to 7 decimal places.\nAnswer: -0.0002255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 97937712\nAnswer: -1\/48968856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/7 + 1 + 7680\/70. What is the common denominator of 65\/2 and ((-12)\/r*1)\/((-8)\/(-30))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -9 + 1 - (-2 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, k: 1, l: 1, f: 1, m: 2, h: 1}. What is prob of sequence fktl?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 40*z**2 - 64*z. Let t(i) = -3*i**2 + 5*i. Give -64*t(s) - 5*v(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i + 1\/8*i**4 + 5\/6*i**3 - 5*i**2 + 0. Give k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 7*p**2 - 3*p + 4. Let d(x) = -67*x - 342. Let m be d(-5). Calculate j(m).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in centuries?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by -5383162.\nAnswer: -125\/5383162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -9*d - 18. Let g = d - -25. Suppose 4*s + 504 = 5*m, m + s - 80 = g. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1303 (b) 7.9 (c) 2\/7 (d) 0 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 779864 at most as big as 779862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12068*z**2 - 3778*z**2 - 3*z + 22 - 44 + 22.\nAnswer: 8290*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6614766 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 11*o + 9. What is p(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832099 to the power of 1\/2, to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - -136. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*v + 6*l - 100, -4*v - 67 = -5*l. Put v, 0, 4, -1 in descending order.\nAnswer: 4, 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*k*u + 826*f**2*k + 42*f**2*u + 2*k*u + 2*k wrt u?\nAnswer: f**2*k + 42*f**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o + 4. Let s be y(-1). Suppose s = -x + 3*x - 0*x. Solve 4*q + 19 = n + 5, 3*q - 4*n + 17 = x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1316880)\/(-990) + (-4)\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -79b584?\nAnswer: -79b58b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 1, r: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2625 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 - (5 - (-3 + 0)). Let h(s) = s + 1. Let a(t) = -t + 1. Determine f*h(g) - a(g).\nAnswer: 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*j - 16, 8 = -q + 4*j - j. Solve q*v - v = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021048044 to seven dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/6)\/1*(-105)\/14. Let n = -15 + u. Solve -f + n = 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 24 = -12*d. Let z be d\/30 + (-22)\/(-10). Suppose 210 = -z*w + 7*w. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(3 + (-1496)\/96*3). Calculate the greatest common factor of d and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - j - 10, 3*m + 2 + 0 = -2*j. Suppose -p + m*p = -u + 37, 5*u = 3*p - 151. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1680*m**2 + 1680*m**2 + 2*m**3 + 21)*(-3*m + 0*m + 2*m) to u*m + c*m**3 + v + s*m**4 + d*m**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31894 - -19014. Let d be 2100\/v - (-2)\/8. Solve 0 - 2\/23*u - d*u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127271513.\nAnswer: 89, 191, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**2*t + 280*r**2 + 1037461*r*t + 65*r - 2 wrt t.\nAnswer: 2*r**2 + 1037461*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + 42 + (-29 - -7).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 158. Let y = 168 + l. Suppose 13 = 5*i + 3*q, -3*q - q - 4 = -4*i. What is the least common multiple of y and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*t + 43*t - 3*i - 1, -2*i + 10 = 0. Solve 3*m + 2 = 4*u, 24*m = 20*m + t*u - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**6\/120 + 2*b**5\/15 - 3*b**4\/8 + b**3\/3 - 919*b**2. Suppose -5*v - 30 = 15. Determine c(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**8\/1176 + 2*f**7\/735 + f**6\/210 - 2*f**5\/105 - f**4\/84 + 2*f**3\/21 - 5*f**2. Let x(d) = 0. What is d?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3031020421 + -1?\nAnswer: -3031020422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-5 - (6 + -25 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -4*k + 63. Let x be (2\/9)\/(6\/k). Let j = -11 + 33. Solve b + 2*i + 3*i = -j, x*b - 3*i = 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3770 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 divided by -207?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3 - o + 3. Let f be s(-2). Let r be f\/(-8) + (-13)\/(-4). Which is smaller: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 + 28 + 25 + 74*j - 1254*j - 6*j**2 - 52.\nAnswer: 3*j**2 - 1180*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-306)\/(-595))\/((-455)\/182*(-3)\/(-25)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 622990 and 7909?\nAnswer: 615081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 72\/(-32) - 2\/(-8). Suppose 4*l = w*z - 68, l = 2*z - l - 74. Calculate the remainder when z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 10. What is w(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 483642 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**4\/20 - q**3\/5 + 14*q - 5. Let r(h) be the first derivative of w(h). Factor r(k).\nAnswer: -3*k*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hivihhc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 474*r**2 + 479*r**2 - 952*r**2 + 16390*r as s*r**2 + a*r + k and give a.\nAnswer: 16390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1*(10\/(-2) + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2729490 is divided by 5437.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(56\/35*-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l - 7. Let r(m) = 8*m - 6. What is 7*i(a) - 6*r(a)?\nAnswer: a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*q - 9*a + 99, q + 0*a + 2*a = -10*a + 15*a - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 300 = -8*z. Let q = z + -57. Suppose -2*n + 3*p + q = 17, -5*n - p = -48. Calculate the lowest common multiple of n and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 7) + 8 - 8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-109531)\/2992 + 41 + 2*(-1 - 1). Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 5*u - 385. Let g be n(0). Let t = g - -632. List the prime factors of t.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14002 (base 7) to base 5\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 153717?\nAnswer: 614868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57174 divided by -2.\nAnswer: 28587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*p**3*s**3 - p**3*s + 9*p**2*s**2 + 2*s**3 wrt p.\nAnswer: 954*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -253. Suppose u - 418 = -a. Suppose -4*y + 2*y - l + 116 = 0, 5*y + 3*l = u. Calculate the greatest common divisor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (623\/(-2225) + 2\/25)\/(6\/15)*-74?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42140 divided by 35?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 352398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -71*7*-7 - 2. Let l = 34811\/10 - d. Find the common denominator of -19 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2 - 2*s + 732. Let x(i) = -6*i + 3. Calculate p(x(d)).\nAnswer: 12*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*o = 164*o - 92*o - 9962. Solve 7*r + o*r = 205 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15271?\nAnswer: 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) + 280\/6. Suppose 2*l - 16 = n. Suppose 411 = 4*a + l. What are the prime factors of a?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 650.53*-0.0292\nAnswer: -18.995476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 4:01 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 44. Let n be (9\/18)\/(2\/(-60)). Let q = w - n. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(500)*-4.\nAnswer: -80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*f**2*o**3 + 3*f**2*o**2 - 23*f**2*o - 6*f**2 - 113*f*o**3 - 2*f*o - f - 5*o**3 + 2*o wrt f?\nAnswer: -22*o**3 + 6*o**2 - 46*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 8:04 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3894853*c - 13480877 wrt c.\nAnswer: -3894853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104743 by 2091.\nAnswer: 104743\/2091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531a (base 14) in base 2?\nAnswer: 10110010000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00247666 and 0.025.\nAnswer: 0.02747666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 40624950.\nAnswer: 365624550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 3 + 0*a + 4\/3*a**3 + 1\/2*a**2 + 1\/4*a**4. Calculate p(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116058739 to the power of 1\/2, to the nearest integer?\nAnswer: 10773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/20734507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -0.4545?\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*(7 - -43). Let n = 22 + a. Let w = 0.059 - 0.159. Put n, 4, w in increasing order.\nAnswer: n, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose -4*p + 4*g + 42 + 42 = 0, -5*p - k*g = -105. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*f - 26, -3*a - 4*f + 2 = -5*a. What is the greatest common divisor of a and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.04 (b) -7 (c) 0.22 (d) 0 (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4786629?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-55) + (-102)\/187 + 33\/65.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 962851473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(50)*-6*-4)\/(sqrt(100)\/((sqrt(120)\/sqrt(4))\/sqrt(3))).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1066? (a) -1.27 (b) -3\/14 (c) -1 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 139.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 12 = -3*l. Suppose 4*o + l*a - 4 = 0, 0*a = -3*a - 3. Suppose w = o*w + 2. Does -3 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391594 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * -153.\nAnswer: 351.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 267043, 267041, 267029, 267001, 266951, 266873?\n\"Answer: -l**3 + l**2 + 2*l + 267041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 20\/7, -2\/11, -4\/5, 3\/5, 0?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169435 > 169430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bebbtbttxbxtbut. Give prob of picking 1 t and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 62*v + 374 + 337 + 329 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 5*h + 8, -75*h + 71*h + 16 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 4, o: 3, e: 1, q: 1, s: 2}. Give prob of picking 1 e and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29714560 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from adgaggggggd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 13, 3, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355134 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/5)*s*((((s\/s**(-5\/4))\/s)\/s)\/s)\/s*(s\/(s\/(s*s**(-1\/6))))\/s**(1\/2)*s**(2\/7)*s*s**(-4)*s*s*(s*s**3)\/s*s**(1\/6)\/s assuming s is positive.\nAnswer: s**(257\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1176065431 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45429539 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6067755.\nAnswer: 3, 5, 134839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/((-18)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h**2. Let d(f) = 9*f - 3*f + 6*f. Give d(q(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21401 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (10 - (1 + 5)). Let u be (0 - 1)\/((-2)\/4). Sort n, u, 0 in increasing order.\nAnswer: 0, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1984815404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001110101000000 (base 2) in base 11?\nAnswer: 72535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19770 - 9893 + 16*r - 9877.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5244 and 9108.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 14. Suppose -b*n + 95 + 56 = 3*f, -5*n = 2*f - 405. What is the remainder when n is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8806?\nAnswer: 2, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9335, -18692, -27941, -37028, -45899?\n\"Answer: 9*g**3 - 9420*g + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + w + 0*w)*(0 + 0 - w) - w + 721*w**2 - 49 + 700*w**2 - 1456*w**2 in the form d + y*w**2 + c*w and give y.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2541610679?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -1731?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4*r = -32, -5*r - 56 = n - 28 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 5, 4\/3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425 and 20592100.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/(-5))\/7 - (-13)\/5. Solve -k*z + 15 = -0*z, 4*w + 5*z = 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, -392, -469, -546?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.10222 + 0.10222. Put 0, -0.9, 4, -5, u in decreasing order.\nAnswer: 4, 0, -0.9, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 704956932 to the nearest integer?\nAnswer: 26551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55805, 111640, 167503, 223394?\nAnswer: 279313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/1260)\/(87\/1044).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.26 - 0.16. Let i = -48 - -34. Let s = i + b. Round s to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7916.289ug to grams.\nAnswer: 0.007916289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 3*m - 3. Let o be d(4). Let i = -7 + o. Let f = 119 + -66. What is the remainder when f is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6570174200 rounded to the nearest 1000000?\nAnswer: 6570000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513797*f - 172*f**3 + 912421*f - 93894*f.\nAnswer: -172*f**3 + 1332324*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11013 (base 4) in base 6?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/787? (a) 4 (b) 0.2 (c) -15 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 804 = 2*n, -157 = 2*w + 3*n - 575. Find the common denominator of ((w\/(-3))\/7)\/(-15 - -3) and 103\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 139*p**8\/112 - 13*p**5\/6 - 1094*p**2. What is the third derivative of g(d) wrt d?\nAnswer: 25020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 9*o - 48. Let p be b(-13). Suppose -2*f = -p*t + 339 + 1081, -5*t - 4*f = -1749. List the prime factors of t.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooso. Give prob of sequence so.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 8) in base 2?\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x. Suppose 0 = 2*b + f + 22, -4*f = -2*b - 2 - 10. Let l(u) = 439*u - 34*u - 391*u - 39*u. Calculate b*a(n) - 3*l(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/2*(-3)\/2. Suppose 0 = 4*t - c*t - 211. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.4, -1, -8\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*p**2 - 459*p**2 + 229*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 48\/67, 5, 3\/5, -29?\nAnswer: 48\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6648 = 4*z + 6690, z + 13 = -0*z + u for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:37 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 - 2*y**2 - 5*y**2)*(-16*y + 4*y + y) as m + w*y**3 + k*y + b*y**2 and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9708 - 106884\/11. Let s = 1414\/99 + f. What is the common denominator of 131\/30 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b**2. Let p(u) be the first derivative of 0*u + 0*u**2 - 3 - 2\/3*u**3. Determine o(p(a)).\nAnswer: -52*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1236, -1833, -2430, -3027, -3624, -4221?\n\"Answer: -597*u - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*m*o**2 - 8*d**3*m - 23*d**3*o**2 - 26*d*m + 110*m*o**2 - 2*m*o wrt o.\nAnswer: 4*d**3*m - 46*d**3 + 220*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49717000 rounded to the nearest one million?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5445031 (base 7) in base 8?\nAnswer: -2426276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -937\/1526 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1224*p + 40830 + 61720 = 241*p for p.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 + 10. Calculate the least common multiple of h and 4.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 + 28*a**3 - 16*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3 + c + 7*c**2 - 2*c - 2*c**3 + 5*c + 3*c**3. Calculate the remainder when 44 is divided by l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199043\/221840 - 27\/2773. What is the common denominator of t and (-45)\/42 - (6 - 6)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/120 + f**5\/30 - 10*f**2. Let i be q(2). Solve 2*h = 4*n - i*n - 26, n - 2 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12465874, -24931769, -37397666, -49863565?\n\"Answer: -s**2 - 12465892*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*d + d**2 - 153*d - 21 - 159*d + 517*d - 158*d to the form r*d**2 + v + k*d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/11 + 37\/44. Let h = 20 - 14. Let z = 11 - h. Which is the smallest value? (a) v (b) 1\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*y + 441 - 450, -3*y = 5*r - 37 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0 + 2 - t - 3 + 7. Let w be o(-3). Solve w = -2*q - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 18*m**2 - 3*m**2 in the form u*m**2 + p + y*m and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -4) + -3 + 5 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + 0*x**4 + 0*x**4)*(32 - 17 + 26).\nAnswer: 82*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5.38 times -0.05947\nAnswer: 0.3199486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11514?\nAnswer: 2, 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 - 0.2. Let h = 0.00212 + 2.04788. Let o = h + i. Is 9 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 700329 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -121011220221010?\nAnswer: -121011220221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-67)\/((-11390)\/68)*20\/(-18)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23868170 divided by 11934085.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 1. Let x(k) = -4*k**2 + 12*k - 12. Give -2*x(l) - 24*z(l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -188 (b) 78 (c) -6\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2 - 2 - 5*m - 1 - m**2. Suppose 0 = -2*q - 4*c + 2, -18*q + 16 = -20*q + 2*c. Calculate n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 91 = -19*b - 20 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + x + 16 = -0, 4*x = -0*x for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/12 and -11\/688101.\nAnswer: 2752404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150337.3 litres to millilitres.\nAnswer: 150337300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/28 - -176\/7. Let a = 516\/37 + -9041\/444. What is the common denominator of a and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1523, 2099, 2709, 3353, 4031, 4743, 5489?\nAnswer: 6269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123168*v**4 - 2*v**2 + 2*v + 128170 wrt v?\nAnswer: -492672*v**3 - 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -127, -256, -385?\n\"Answer: -129*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 5\/4 (c) -1\/323 (d) 1 (e) 18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 6:52 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, -790, -90?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10489*k - 408872. Determine h(-39).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7 = 1, 4*f - 5*r = 0. Let v(q) = -q**2 + q + 2. Let p be v(0). Suppose 27 = 5*c + p. Solve -2*l - y - c = 0, 3*l + 0*y - f*y = -14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 309510 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 11*v**5\/30 + v**4\/24 - v**3\/6 + 267*v**2. Determine a(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121576468 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uukrurkuu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from hhwwwwhwwwhwhhwh?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/790 and 49\/167085.\nAnswer: 334170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 39.63772 millennia?\nAnswer: 396.3772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186142.6*0.3.\nAnswer: -55842.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 3\/5, 0.16, 10 in decreasing order.\nAnswer: 10, 5, 3, 3\/5, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -16*w**3 - 2*w**2 - 2*w - 1. Let y be r(-1). Let t be 10*(-6)\/y*-1. Solve 3*n = 5*p - 30, -5*p = n - t - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7661*u. Let r(t) = -t + 13. What is z(r(w))?\nAnswer: -7661*w + 99593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 5*c - 7*c. Suppose -10*q = -6*q - 488. Let x = q - c. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/12)\/((-4)\/(4\/(-9))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11517 in -0.05, 1\/8, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-5)*5125\/2050?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3237896 or 19427381\/6?\nAnswer: 19427381\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13314, -54104, -122082, -217248, -339602?\n\"Answer: -13594*m**2 - 8*m + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 5*c**4\/24 + 2*c**2. What is the tens digit of s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 7*h - 3*h)*(1 - 3 + 0) - 1 + 1 - 2*h + 0*h + h - 2*h + h - 3 + 3 - h - 2*h + 2*h - 3*h + 3*h + 4*h + 8*h + 13*h - 3*h as x + p*h and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**7\/21 - x**6\/30 - x**5\/6 + x**4\/6 - x**2 - 3*x - 101. Let t(d) be the second derivative of y(d). Factor t(z).\nAnswer: 2*z*(z - 1)*(z + 1)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 3*i + 2. Let n(y) = 4*y**2 - 4*y + 2. Give 3*f(t) - 2*n(t).\nAnswer: t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {s: 1, t: 4, k: 1, p: 2, b: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 1. Let h(x) = -9*x. Let v(p) = h(p) - 5*i(p). Let b(d) be the third derivative of d**4\/12 - d**3 - d**2 + 4. Calculate -3*b(k) + 4*v(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228.12 - 230.12. What is the second biggest value in -3, 0.3, -0.157, -5\/2, l?\nAnswer: -0.157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5243, -20804, -46739, -83048?\nAnswer: -129731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23720 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 1790 = 1960. Solve -d = -4*v - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 20. Let l(p) = p + 10. Let j(m) = 5*l(m) + 2*o(m). Suppose -110*u + 360 = -70*u. Calculate j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c**2 - 5*c + 2. Give h(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*b**2 - 3292 + b + 72*b**2 - b.\nAnswer: -9*b**2 - 3292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/(3\/1))\/2. Suppose -12 = b*x + 8, -2*x = 5*i + 18. Find the common denominator of -107\/10 and 1209\/(-120) - i\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-784)\/(-44) + 2\/11. Suppose -5*b + 2 = -w. Suppose -5*a = -b*a - 56. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 245 + -245. What is the common denominator of -73\/6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7494644067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-230)\/4278)\/((-175)\/(-105)). Let a = 0 + 1. Is d greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 886 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5616639 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, l: 2, c: 3, o: 1, f: 3, u: 2}. Give prob of picking 1 x, 1 o, and 1 c.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*14\/(-1120)*-8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1040)\/351*363\/(-605).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59*n**2\/3 + 388*n\/3 + 155.\nAnswer: (n + 5)*(59*n + 93)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-266) - 8\/56. What is the third smallest value in b, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 8\/15 (b) 3 (c) -19\/816\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -35.5. Let x = -0.5 - f. Let q = x - -9.962. Round q to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/55 (b) 5 (c) 3 (d) 1\/9 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((491288\/(-744))\/283)\/(14\/264)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 3*j - 997 = 6*s, -4*s - 3*j + 803 = 0. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(54\/(-9))*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-110)\/(-15) + 1\/(-3). Suppose -6*z = -s*z. Let f(y) = y**2. Let w be f(1). Which is bigger: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -139, -414, -837, -1408, -2127, -2994, -4009?\n\"Answer: -74*o**2 - 53*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 + 4*m. Let j be u(-4). Suppose -2*i - 14*n + 18*n + 2450 = j, -2*n - 6133 = -5*i. What are the prime factors of i?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 39*q**2 - q - 2. Let y(l) = -l + 15. Let j be y(13). Let g be h(j). Let w = -102 + g. What is the remainder when w is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2615924 meters in centimeters?\nAnswer: 26.15924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 231277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828*y - 126 = 807*y. What is the closest to y in 4, -3, 4\/35, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-6 - -3)) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/1783 + -3520\/41009. Let v be (20\/(-16))\/((-2)\/8). Put o, v, -1\/3 in decreasing order.\nAnswer: v, o, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**2*s*s**(-9\/4) assuming s is positive.\nAnswer: s**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984 is divided by 151.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3701846 (base 10) to base 12\nAnswer: -12a6332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f5 - -24?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9085739 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/19, 80, 0, 1 in ascending order.\nAnswer: 0, 3\/19, 1, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/2 - 5*d**3\/3 - 2*d**2 - 3*d + 5. Determine o so that z(o) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 - t**2 + t**2 + (222 - 222 - 13*t)*(-2*t - 1 + 1).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(85)*2 - sqrt(85))*4 - sqrt(85))*4)\/(sqrt(720)*1*1)*5)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197505 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 4*l - 4. Let m be d(2). Let z = -11\/4 + 2. Let q = -0.09 + 0.39. Which is the closest to m? (a) q (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*l**4 - 1 + 2*l + 17*l**2 - 5*l**2 - 10*l**4 - 16*l**4 to the form g*l**2 + t*l**3 + m + x*l + k*l**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-605 - -602)*(-10)\/(-4260))\/((-1)\/(-1) - 0)\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h + 127*h = -136*h - 117*h + 652 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -26317316?\nAnswer: -26317315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 7. Let v be i(3). Find the first derivative of -v + 198*p**2 - 190*p**2 + 4 wrt p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049 - 1070 = 2*h - 3*x, h + 3*x = 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 - 54 = 15*h - 2*m, -1386*h - 16 = -2767*h + 1384*h + m for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10*t - 32. What are the prime factors of y(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 492 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 10*i - 22234 - 251*i**2 + 22234 to z*i**2 + u + a*i and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.428041 centuries to millennia.\nAnswer: 0.2428041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5*n - 148 + 56, 7*s = 3*n - 46 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, -32, -64, -96, -128?\n\"Answer: -32*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2 - 51*b + 317. Let w(g) = -g**2 + 10*g - 64. Calculate -4*c(m) - 22*w(m).\nAnswer: -2*m**2 - 16*m + 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 598600, 1197208, 1795820, 2394436?\n\"Answer: 2*o**2 + 598602*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 110?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -366, -372, -378, -384, -390, -396?\n\"Answer: -6*i - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 8*c**2 - 8*c - 10. Let p be v(-7). Let a(q) = -q**2 - 32*q - 113. Let i be a(-4). Put 2, -5, p, i in descending order.\nAnswer: 2, i, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (14 + -2))\/(6\/27). Let s = z - -47. Suppose 10*j + s*j = 36. Solve 0*y = j*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281625247.\nAnswer: 17, 16566191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s + 64 = -2*q, -5*q + 10 = s. What is the tens digit of s + 2 + 3\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2021 - 2021 - 326*r)*(2*r - r - 2*r) + 3*r**2 - r**2 + 0*r**2 to the form u*r**2 + g + l*r and give u.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271 by -27.\nAnswer: 271\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 117341371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3\/3 - 1080\/165.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322868 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.43 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.13 + 15. Let b = -0.13 - s. Let q = b - 0.00026. Round q to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -401, 6, 1, -7, -35 in decreasing order.\nAnswer: 6, 1, -7, -35, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 149*z**7 - z**4 - 9052*z**3\/3 + 5245. Find the third derivative of w(l) wrt l.\nAnswer: 125160*l**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 14*j - 5962 = -2*v, -5*v + 3*j + 14873 = 0. Suppose 10 = 2982*o - v*o. Determine x so that 2\/15*x**o - 16\/15*x + 32\/15 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6971.3954 and 9.\nAnswer: 62742.5586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/17))**(11\/7) assuming w is positive.\nAnswer: w**(-11\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 40*k**2 - 50*k - 277. Let s be v(-19). Let i(d) = -d**2 - 40*d + 436. Determine i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(171) + (sqrt(171) + -2)*4 + (-3 + sqrt(171)*-3)**2*-3.\nAnswer: -4655 - 147*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (792\/112 + -7)\/((-6)\/(-63))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22126 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 7:37 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 6254\/7, -0.3, 0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/53 - 45\/212. Let x be (-1 + 4)*2\/18. Which is the nearest to 0.1? (a) x (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24430996981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose 3*v + 3 = 0, -v - 56 = -c + a*v. Let r = c - 25. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2932834*0.6\nAnswer: 1759700.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**6*y**2 - 11512*m**4*y**2 + 83*m**2*y**2 - 2*m**2 - 2*m*y**2 - 3*y - 26 wrt m.\nAnswer: 480*m**3*y**2 - 276288*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594 = 20548*o - 20614*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 0.38. Let u = 13 - 13.2. Which is the closest to u? (a) 2 (b) 1\/8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1835713686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130239145?\nAnswer: 5, 29, 389, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4377 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -7.967.\nAnswer: 0.87637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w**2 - 13*w**2 + 71*w**2 - 33*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/67409 or -1?\nAnswer: 2\/67409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24491 - 24492 = 4*f + q, f - 4*q + 13 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116870069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 22*h - 76. Suppose 90*g - 951 = 669. What is i(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -495640*q**2. Let g(z) = -16*z**2. Give y(g(h)).\nAnswer: -126883840*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 286813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -107, -155, -189, -203, -191, -147, -65?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 0*a**3 - 2*a**3)*(2 - 1 - 2) + 0*a - 2*a**3 + 4*a - 2*a.\nAnswer: a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25477 and 1222896.\nAnswer: 1222896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j - 1. Let s(w) = 122*w - 127. Let z be s(1). Determine o(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.1, -36893, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*x + 55, -5*x + 0*x + 99 = 2*y. Suppose 7*j = 2 + x. Does 10 divide 4 - (-3)\/j*45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 46. Let d be i(0). Let c = 48 - d. Calculate the remainder when 62 + 3 - (c - 2) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9632, 0.1, 1 in increasing order.\nAnswer: -9632, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -0.082.\nAnswer: 0.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*m = -14, -i + 4*m + 16 = -5*i. Let u be i - (-2 + 4)\/2. Determine z so that 3*z - 2*z**3 + u*z**3 - 2*z**2 + 2*z**4 - z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -301 - 155. Let k = 532 + s. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*w - 1)*(-3 - 1 + 3)*(119 + 7 + 24)*(-4*w - 3*w + 5*w - 2 + w + 2 + w + 3*w - 3*w + (1 - 1 - 1)*(w - 5*w + 2*w) - 3 + w + 3 + 3*w + w - w).\nAnswer: 1800*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 580*v - 1728. Give i(-287).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(12)\/sqrt(4)).\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 6:25 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:17 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 3*z**2 - z + 8. Is 10 a factor of k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 + 2 - 4) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 11946 = -4*u, -4*u = -2*m + 5*m - 7142. Suppose 0 = -21*r + m + 2087. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003594259 to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -208*m**2 + 965*m. Determine p(7).\nAnswer: -3437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 5:12 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28234966.93 rounded to the nearest ten thousand?\nAnswer: -28230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -3)*3\/(-6). Let p be 0\/((-2 + c)\/1). Suppose p = 3*v - 5*b - 17, -b + 3*b + 2 = 0. Solve -3*h - h = -4*m - 32, -2*h + 22 = -v*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + z - 16. Let h be c(4). Determine g, given that 8*g**2 - h*g**5 - 12*g**3 - 3*g**5 + 11*g**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**8\/6300 - 31*t**7\/6300 + 4*t**6\/675 + 110*t**3\/3 + 134. Let f(v) be the third derivative of q(v). Solve f(m) = 0 for m.\nAnswer: -16, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 d, and 1 z when three letters picked without replacement from {z: 1, s: 4, d: 6}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -9*c + 11172. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59299763 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*k - 21 = -7*n + 318*k, 0 = 3*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dada when four letters picked without replacement from {a: 6, d: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395533 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67 in 4, 0.04, 2.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3)*(-3)\/(-2). Let b(z) = 50*z - 8. Let q(f) = 49*f - 9. Let p(r) = d*q(r) - 3*b(r). Let l be p(-7). Round l to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 220 = -4*k, 4*k + 4*w + 220 = -w. Let s = -39 - k. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from {q: 8, n: 5}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*m**3 - 9*m**2 + 3*m**2 + m**2 + 5 + 63*m**3 + 5*m**2.\nAnswer: -6*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by -66\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 1*(-2 - -1). Suppose a + g + 1692 = m*a, 5*a - 5*g = 2115. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 5, -1\/17, -4 in descending order.\nAnswer: 5, -1\/17, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {x: 1, j: 1, t: 1, u: 4, l: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2. Let w(z) = -34*z**2 - 9*z - 3. Let n(o) = 341*o**2 + 93*o + 31. Let q(p) = 3*n(p) + 31*w(p). Give q(s(a)).\nAnswer: -496*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -50*h. Let a(s) = 9*s - 7. Let o(v) = 5*v - 4. Let y(w) = -4*a(w) + 7*o(w). Determine y(j(n)).\nAnswer: 50*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 9.1. Let l = -18 - k. Let d = 10.94 + l. What is d rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 3\/9)*-9. Let o(r) = -r**3 + 6*r**2 + 22*r - 42. Let z be o(8). What is the greatest common factor of w and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 + -8 + 66\/(-9). Sort -3, s, -4\/7, 1, -5 in descending order.\nAnswer: 1, s, -4\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0 + 5 = 0. What is the lowest common multiple of 8 and 3*j\/(-3) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**4 + 14*i + 1725 + 2*i**3 - 3*i**3 - 1730 as t*i**2 + r + n*i**3 + m*i + h*i**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*p = -0*p + 36, -p = 4*o + 57. Let m be (o\/(-3) - 1)*(-24)\/(-20). Sort m, -4, 5, -8 in descending order.\nAnswer: 5, m, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -679 - -680. Let q = 4 - -1. Sort 0.02, s, 3, q in descending order.\nAnswer: q, 3, s, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -857\/27 - -5743\/135. Factor -243\/5 + z*i - 3\/5*i**2.\nAnswer: -3*(i - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.36 - -0.04. Let j = n + -0.1. Let y = -1.93 + 2.03. Sort j, y, 2.\nAnswer: y, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 263 = 351. Solve o = r + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:12 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3145 - 5?\nAnswer: -3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.209 times 0.4\nAnswer: 0.8836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2406?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w - 10 + 40*w - w**3 - 22*w + 3*w**2. Let z be m(5). Solve z*j + 2*d - 22 = 0, -4*j - 4*d = -d - 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 8. Let t be o(6). Let y = 1.32 - 0.22. Let n = -0.7 + y. What is the third biggest value in t, n, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2383*s - 1 = 2376*s - 4760*s - 39*f + 156, -2*f - 2*f = -16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189692 is divided by 189411.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825282407.\nAnswer: 3, 13, 67, 698539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524973449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2077.8 and -7.3.\nAnswer: -15167.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -2 (c) -0.018 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(528) + sqrt(528))*6 + sqrt(528))\/(2*(sqrt(3) + (sqrt(3) - 1*sqrt(363)) + sqrt(3) - sqrt(3))).\nAnswer: -26*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**40\/q*q*(q*q**(1\/4)\/q)\/q assuming q is positive.\nAnswer: q**(157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28288 - -2?\nAnswer: -28286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 471658279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 + 2 + (1 - (-23 - -24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4704160 and 87\/1580?\nAnswer: 371628640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -21*f - 72. Let l(m) = -5*m - 18. Let c(a) = 9*l(a) - 2*y(a). Let b be ((-156)\/13)\/(1*2) + 0. Let z be c(b). Solve z = 5*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-60))\/((-2)\/3)*6\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863 = -3*f + 1378. Suppose 0 = r - 93 - f. What is r rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -25. Let u be (-4)\/((-21)\/50 - w\/(-20)). Is (-6244)\/(-5) + (-10)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5663364 + -3837405. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2312185 + -4?\nAnswer: 2312181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781794?\nAnswer: 2, 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + f**2 + 1. Let y(m) be the second derivative of -3*m**5\/10 - m**3 + m**2 - 3*m. Let t(g) = 5*r(g) - y(g). What is t(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43423999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 66*q**2 - 8*q + 261. What is d(33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -242\nAnswer: 5\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61324*n**3*w + 255*n**3 + 5037*n**2*w - n*w + w + 1990 wrt n?\nAnswer: 367944*w + 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, -3, -4, 27 in ascending order.\nAnswer: -4, -3, 5, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2036 - 3\/((-15)\/35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 394 - 69. Let z = i + -132. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**6\/120 - 2*a**5\/15 + a**4\/4 + 4*a**3\/3 - 2*a**2. Let u be z(7). Put u, 4\/9, -0.5 in ascending order.\nAnswer: -0.5, 4\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -695 - -1342. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.379 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 3. Let y(q) = -1. Suppose -2*w + 23 - 13 = 0. Give w*y(k) + n(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 764938940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1140, 1139, 1138, 1137, 1136?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18105*o**4 + 0*o + 15*o**2 - 18101*o**4 + 2*o)*(1 - 4 + 2).\nAnswer: -4*o**4 - 15*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 t, and 1 y when four letters picked without replacement from {t: 2, y: 2, o: 1, b: 1, s: 4, a: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-1))\/((-6)\/(-4)). Suppose 10*o - 36 = o. Solve o*u = 5*d - 10, i*d + 21 = -5*u + 4*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 0.29 (b) 0.4 (c) -1064 (d) 1\/2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-6) + (-28)\/21. Suppose 5*j - 18 = 3*j. Suppose d + 4*a - j = -2*d, -q*a = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 22*p + 9. Let l be g(-16). Let a = l + -340. Let k = 250 + a. What are the prime factors of k?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 9 + 28 = 4*x, 5*x - 5 = 0. Let l(h) = h**2 + h + 5. What is the remainder when l(-4) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 85. What is the nearest to -1 in 1\/7, h, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118\/117 - 4889\/10764. What is the common denominator of d and -19\/18?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -4, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 + 3*y - y + 429 - 214.\nAnswer: 2*y + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 285*a + 27*a**4 - 285*a + (-1 - 3 + 0 - 2 + 5 - 2 + (-2 + 3 - 2)*(-4 + 4 - 2) + 0 - 4 + 2)*(a**4 + 3*a**4 - a**4).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -90b03c (base 15) to base 2\nAnswer: -11010001101101000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -217, 311 in decreasing order.\nAnswer: 311, 5, -1, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:22 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 9 = -y. Suppose 492 = 4*b - 7*d + 3*d, y*d = 2*b - 244. Let l = -69 + b. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1514035 and -32\/5147719.\nAnswer: 25738595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdjw when four letters picked without replacement from wljjwwjwdjbjdssw.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 10. Let f be u(6). Let v = 5 - f. Suppose v + 15 = z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382780788 to the power of 1\/3, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4314805.9218 - 4315392. Let z = x - -586. Round z to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/15 + 1029\/(-630).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 175, 251, 311, 349?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34125528 and 24.\nAnswer: 34125528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 3*c**2 + 2*c - 4. Let t be k(3). Suppose -t*g - 56 - 40 = -2*z, -2*z = 3*g - 106. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3029 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4822, 4824, 4830, 4840?\nAnswer: 4854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 + 2 + 1859*f**2 + 625*f**2 - 1286*f.\nAnswer: 2484*f**2 - 1286*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-2\/5)*o))\/(o**3*o)*o*o*o*o\/(o**(1\/3)\/o)*o**(-10))**25)**(3\/4) assuming o is positive.\nAnswer: o**(-335\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -23*z**4 - 31*z**3 - 3*z**2 + 5*z + 5. Let g(y) = 11*y**4 + 15*y**3 + y**2 - 3*y - 3. Let a = 0 - -3. Let l(k) = a*s(k) + 5*g(k). Factor l(r).\nAnswer: -2*r**2*(r + 1)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -1\/231 (b) 1279 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 149.393. Let m = h - 0.51. Round m to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-27)*(-3)\/26. What is the closest to 0 in u, -1\/5, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < -329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-6 - (-5 - 5)) + 0 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 257247971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from ybbbybbbygbbybdbb.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4\/6 - 4297*d**3\/6 - 137948*d**2\/3 - 575552*d = 0.\nAnswer: -4232, -48, -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3064040 (base 7) in base 14?\nAnswer: -98557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -590020b - -7?\nAnswer: -5900204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-708)\/(-21) + (-4)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*s + 23 = 0, 4*a + 834 = 2*s + 842 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*3\/(-9)*1. Suppose -6*m + m = -20. Suppose -m*j = -12 + 44. Are f and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/4 + 681*v**2\/2 + 154587*v + 23394166 = 0. Calculate v.\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 - 48 = 0. Let j = g + -9. Suppose -2*c + 4 = 0, -3*c - 4396 = -j*d + 2*c. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3077, -6151, -9225, -12299?\n\"Answer: -3074*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -53. Suppose 4*u = 9*u - p*v - 213, -4*v = u - 61. Calculate the greatest common divisor of u and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 553 and 551 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15011.70368 - 15004. Let m = x + -7.7. Round m to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.5222.\nAnswer: -0.9222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1094 by 5.\nAnswer: 1094\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 4*j**2 - j + 10. Let a be y(-3). Sort -14, a, -4.\nAnswer: -14, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 36*c - 3 = -39*c, 0 = 3*i + 5*c + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i + 3*g = 6, 8 = 4*i - g. Let a be ((-88)\/10)\/(i\/(-10)). Suppose 182 = p + a. Round p to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/3*h - 2\/3*h**3 - 8\/3 - 10\/3*h**2 = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14*(-210)\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 434885709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3179 and 3?\nAnswer: 9537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c - 11. Let v(f) = -2*f - 3. Let y(i) = -6*h(i) + 22*v(i). Let l(a) be the first derivative of 0*a - 1 - 1\/2*a**2. Give y(l(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2109 = 58*x + 132 + 933 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 76 = 2*b, 0 = 5*b - 2*k - 137 - 35. Suppose y + b = c, 2*y + 0*y = 4*c - 150. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43275985 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3\/2 - 4419*q**2\/2 - 814752*q - 812544 = 0.\nAnswer: -736, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 3*t + 1. Let f be z(-4). Let s be 4 - (-32 + 4 + f). What is the greatest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 19 - 168 = l + 198 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/1)\/((-864)\/124 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134532, 269076, 403620, 538164, 672708, 807252?\nAnswer: 941796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 923.3613 - 55.37195. Let t = d + -868. What is t rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 6, 22, 56, 114, 202, 326?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102131201 (base 4) in base 12?\nAnswer: 356a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 2*m**6\/3 - 2*m**5\/5 - m**4 + 2*m**3\/3 + 3. Solve d(g) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-2)*(16\/12)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 46. Let x = v - -67. Let a = x - -7. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7228 is divided by 6133?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004189 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1333 and 0.19.\nAnswer: 0.3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 83, -3, 2, -7, 3.\nAnswer: -43, -7, -3, 2, 3, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:58 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2234331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.1 - 72. Let g = x + -9.1. Let z = -8 + 2. Which is the nearest to 0.2? (a) z (b) g (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -9, 0 in decreasing order.\nAnswer: 8, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqdqdqddlddqddlww. Give prob of sequence ql.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 311387.2t in grams?\nAnswer: 311387200000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45404 - 2*x**2 + 45738 + 0*x**2 - 11*x.\nAnswer: -2*x**2 - 11*x + 334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 35. Solve 3*w + 5 = -g, 6*w = w + 4*g - v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-153)*(33\/(-77))\/1.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 681*j - 39210. What is t(58)?\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 313*b**2 - 4754*b + 596. What is y(297)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(3)*-2))\/(sqrt(12)\/(sqrt(4) + sqrt(12)\/sqrt(3))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -69619*q - 696222. Calculate a(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -11*c**4\/12 - 2*c**3 + 9*c. Find the second derivative of a(u) wrt u.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a - 20. Suppose 0*g - a*g - 4*w + 33 = 0, -5*w - 15 = 0. Let t(u) = -5*u - 1. Calculate the least common multiple of t(-5) and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2209, 10, -4, -5 in descending order.\nAnswer: 10, -4, -5, -2209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**3 + 338*x**2 + 1162*x - 584. What is d(116)?\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a centimeter in micrometers?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9a (base 12) to base 7\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 113213 and -0.1.\nAnswer: -11321.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(112) + (1 + sqrt(112) + sqrt(112))**2) + -5 + 2 - (-4 + (-1 + sqrt(112))*2 + sqrt(112) + sqrt(112) + 4)**2.\nAnswer: -4044 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 117 - 49 - 30*g**2 - 5*g.\nAnswer: -30*g**2 - 5*g - 15","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t + 1. Let u be (t\/(-3))\/((-8)\/(-48)). Let h be (3 + u)*(-8)\/(-4). Solve -s = -2*s - h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 23.04. Let q = y - -0.03999769. Round q to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199905?\nAnswer: 3, 5, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 6*j - 49. Suppose -4*m = -2*m. Let k be (1 + (m - j))*1\/(-2). Sort 6, 0, k in increasing order.\nAnswer: 0, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4673918704 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -171741 (base 8) in base 2?\nAnswer: -1111001111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -447*c**2*i + 2*c**2 + c*i + 135*c - 2*i wrt c?\nAnswer: -894*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/((l*l**(-4\/9))\/l))*l*l)\/l**(1\/6))\/(((l\/(l**(-2\/25)*l*l)*l)\/l*l*l)\/l**1))**7 assuming l is positive.\nAnswer: l**(4123\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*a + 46*a = 1578 - 264 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152159 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 14 = 2*q, -2*i - 11 = 13*q - 10*q. Let g = -3 - -7. Suppose g*c - 20 = 3*z - 7*z, 4*z = 12. Solve 2 = -c*t + i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 40 = -0*n. Solve -5*c = -2*v - 12, 2*c - n = 4*v - 0*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4466\/(-609) + (8 - (2 - 1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4, -3*t - 19 = -3*p + 5*p. List the prime factors of (-150)\/(-9) + ((-5)\/3)\/t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133819.\nAnswer: 7, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 14697?\nAnswer: 102879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*o - 7*o. Suppose j = -5*g - 44 - 27, 2*j = g + 12. Let c = o - g. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5089883.\nAnswer: 107, 47569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.1919157 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 x, and 2 b when four letters picked without replacement from {t: 1, x: 2, w: 4, b: 2, s: 1, f: 4}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5171852+11400\nAnswer: -5160452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, x: 2, j: 2, z: 3, b: 2}. Give prob of picking 2 z and 1 j.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 1.1 (c) 0.5 (d) -1\/2 (e) -24 (f) 20025\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 9*o**2 + 2. Let k be x(9). Suppose -2*b - 3 = -t - 3*b, -b = -4*t + 22. Solve -k*f + t*f = 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**3 + 0*y**3 + 0*y**3 + 3*y**3 + 14*y**2 wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5, 0.33, -1\/18 in increasing order.\nAnswer: -5, -1\/18, 0.33, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 836 and 72994200?\nAnswer: 802936200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*x + 2890, 5*x - 2*n + n - 2865 = 0. Is 59 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85769162 or 85769161?\nAnswer: 85769161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -20. List the prime factors of s\/3*(-13 - 176).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 - 19*g - 7. Let p(v) be the first derivative of v**3 - 3*v**2 - 2*v - 333. Determine -2*h(y) + 7*p(y).\nAnswer: 3*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from repuuqjqe. Give prob of picking 1 p and 1 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*w**4 + 39\/2*w**3 - 81\/2*w**2 + 41\/2*w.\nAnswer: w*(w - 1)**2*(w + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -4. Let w(n) = -5*n + 6. Let x(c) = 14*c - 18. Let a(s) = 17*w(s) + 6*x(s). Calculate a(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5*j = 4, -3*h + 86 = -4*j. Calculate the remainder when 141 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.8 - 3.2. Let j = d - -16. Put 0, j, 0.3 in descending order.\nAnswer: 0.3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9621 + -0.0379. What is the nearest to 2 in 0.2, s, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(4\/(-8)*1). Suppose 139 = 4*y - n - 325, a*y + 2*n = 242. Suppose 3*d + 4*q = q + y, -3*d + 92 = -2*q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -628*s + 89178. What is k(142)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-42))\/((-8)\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492, -530, -566, -600, -632, -662?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 5*y - 177. Suppose -16*i = -15*i + 5*s - 125, -119 = -i + s. Calculate the lowest common multiple of i and y.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -663 divided by 51\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5927, -5927, -5923, -5915, -5903, -5887, -5867?\n\"Answer: 2*p**2 - 6*p - 5923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/9 + 280*v\/9 + 94\/3 = 0. Calculate v.\nAnswer: -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10470, 10390, 10256, 10068?\n\"Answer: -27*x**2 + x + 10496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -24, -2\/55, 14, -246?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 172\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {x: 7, l: 9, y: 2}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*(-21)\/(-56)*8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + f + 153 = 0, f = -3*n + 120 - 0. Let l be (-10)\/65 - (-318)\/n. Suppose 23*v - 24*v = -l. Solve -4 - v = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 take away -24.55?\nAnswer: -126.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -9*k - 15680. Let p = 1734 + k. Does 75 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2108 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -933424223*q**2 - 598730274.\nAnswer: -1866848446*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 939 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 3067*w**2 + 46232*w + 26. Determine a(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-9 - -12) - (30 - 26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6, 3*o = 3*v - 0*o + 6. Suppose -7*s = -2*s - 200. Suppose 2*i + 50 = 4*z, -8*z + s = -3*z + 5*i. What is the highest common divisor of z and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026133353 to the power of 1\/2, to the nearest integer?\nAnswer: 45013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -139 and 0.03934?\nAnswer: -5.46826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 5*x**2 + 2. Let k be m(-5). Suppose -4*y = 5*q - 3149, -2*y + 2221 = -k*q + 669. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327860567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 362653309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772371.\nAnswer: 3, 85819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107432793 and 61272?\nAnswer: 859462344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8 + 43*t - 33*t + 44*t - 16. Let u(j) = 11*j - 5. Let o(h) = 5*p(h) - 24*u(h). Let m(k) = -4*k**2. Determine o(m(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2740 is divided by 52.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvziizzivvwwvwvvzvv. Give prob of sequence iww.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 83*c**2 + 441*c + 134. Determine y(88).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-940)\/47*((-60)\/240)\/((2\/1)\/8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 231*n**4 - 47 - 120*n**4 - 120*n**4 wrt n.\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*a - a - 4*a)*(0 - 7 + 2) + 3*a - 6*a + 2*a)*(1 + 5 + 0) + ((-1 + 0 - 1)*(1 - 2 + 3) - 4 - 2 + 5 + 8 + 4 - 6 + 3 - 6 + 4)*(-3*a - 3*a + 7*a).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-148503)\/5873 + (-5)\/7.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 9*a + 34 = 4*a, 4*g - 3*a = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 207 = 4*m, -i + 149 - 38 = -2*m. Let r = 24744 - 24686. Let z = r + m. Put -1, -3, z, -4 in ascending order.\nAnswer: -4, -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 8425 - 9863. Let q = o + -636. Let k(a) = -q*a + 3936*a - a**2. Let d(c) = -72*c**2. Calculate k(d(f)).\nAnswer: -5184*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4032 = 9*i - 0*i. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48044718.\nAnswer: 2, 3, 499, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 > 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 9*v + 15*v + 4*v + v - 6*v + (-2 + 2 + v)*(0 + 3 - 4).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**(-1\/6)\/x))*x*(x\/(x*x**(1\/2)\/x*x)*x)\/x*(x\/(x*x**(1\/5)*x))\/x*x**(-2))**(-3\/23))**(-7) assuming x is positive.\nAnswer: x**(-406\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c + 2*c)*(-4*c + 2*c + 0*c) - 4*c**2 + 2*c**2 - 11*c + 3*c**2.\nAnswer: -5*c**2 - 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-2)*b**(1\/9)*b**7\/(b\/(b**(-2\/11)\/b)*b) assuming b is positive.\nAnswer: b**(686\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 9*y. Calculate w(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (30 + -2 + -21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 5*x - 50, -3*x = -2*w + 25. Let r(v) = v + 1. Let f be r(3). Suppose 4*b = -f*a + 40, -2*a = 3*b - w*b + 4. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2929 is divided by 289.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*g*p - d**3*p**2 + d**2*g*p**2 - 4*d**2*g - d*g*p + 82*d + 6220*g*p**2 - 2*g*p wrt p?\nAnswer: -2*d**3 + 2*d**2*g + 12440*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1329*a**2 - 201*a**3 + 14*a - 6*a - 1328*a**2 - 1246*a**3 wrt a?\nAnswer: -8682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 219?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -330063.877 from 9.1665.\nAnswer: 330073.0435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517838?\nAnswer: 2, 258919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3, -0.7, -44, -4, -8\/7, 1\/8?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41976 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10301 + -3?\nAnswer: 10287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-3))\/((-136)\/408 - (-482038)\/1446126) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 450.5 - 450. What is the nearest to -2 in -0.3, 1, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8419*f**2*o**3 + f**2 + 2*f - 6 wrt o.\nAnswer: 25257*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -808 - -1204. Suppose 0*l + q = 3*l. Calculate the greatest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12299 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -11*y**4\/24 - 5*y**3 + 42*y**2 - 2. What is t(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6751, 13583, 20453, 27355, 34283, 41231, 48193, 55163?\n\"Answer: -s**3 + 25*s**2 + 6764*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*o**2)*(3*o**2 + 4*o**2 - 5*o**2) - 2*o + o**4 + 2*o + 2*o**4 + 0*o**4 - 5*o**4 - 11*o**4 + 3*o**4 - 9*o**4 - o**4 + 4*o**4 - o**4.\nAnswer: -23*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 - z + 2. Let i be k(-2). Let t be (-212)\/i + 4\/10. Let o = 0 + t. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3744529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -905 or -898?\nAnswer: -905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -40*c - 45. Suppose -5*k + 6 = 41. Is g(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3510 is divided by 1170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-154)\/(-3) + (-4)\/(-6). Let c = 1296 + -873. Suppose 5*a - x - c = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-84)*6 - 33\/70.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/9)*h\/h**(10\/3))**(-31))**(-30))**(-23) assuming h is positive.\nAnswer: h**(92690\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1 - -2) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m + 7. Let o(f) = -3*f - 2. Let g be 4\/(-2) + 12\/(-1). Let q(p) = g*o(p) - 4*c(p). Let y(h) = -h. Give y(q(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b + 132. Give i(18).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - m = 47, 2*t - 37 = -m + 6*m. Suppose 272 = t*s + 52. Put 3, -1, s in increasing order.\nAnswer: -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 + 312 - 2*r - 619.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -810*f*r**5 - 3496*f*r**4 + 9806*f*r + 277 wrt r.\nAnswer: -16200*f*r**3 - 41952*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -99*g**2 + 21. Let p(c) = -10*c**2 + 2. What is -2*a(v) + 21*p(v)?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 523 + -501. Suppose -4*w - v*w = -44460. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 50045?\nAnswer: -50048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1602910763 and -287.\nAnswer: -1602911050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620906745?\nAnswer: 3, 5, 139, 297797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3241254 (base 7) in base 14?\nAnswer: -a479b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**3 + 2*b**3 - 5*b**3)*(-19*b + 14*b + 84*b) + (3*b**4 - b**3 + b**3)*(0 + 6 - 3) as z*b**4 + r + q*b**3 + j*b**2 + y*b and give z.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 321.588 decades?\nAnswer: 3.21588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -148 (b) -2 (c) 0.007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -868 + 866. Put -0.56, u, -5, 2\/7 in ascending order.\nAnswer: -5, u, -0.56, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 41*f - 10. Let h be j(2). Let w be 2 + h\/(-32) + (-11)\/(-12). Factor -w*m**3 + 2*m**2 - 4\/3*m + 0.\nAnswer: -2*m*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2\/5, 0.3, 2\/31, -4 in descending order.\nAnswer: 2\/5, 0.3, 2\/31, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 2112 (c) 74\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -311*f**3 - 222*f**2 + 1001. Find the second derivative of j(t) wrt t.\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2885139*i*l*u - 3*i*l - 71*l*u - 372*l + 47*u wrt i?\nAnswer: -2885139*l*u - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 849 + -811. Solve 0 = -4*f + 12, -2 = 5*q - 5*f + d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 28 = -40 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 - 2*l**3 + 4*l**3 + (-5*l - 4*l - 5*l)*(-18*l + 13*l**2 - 8*l - 42*l + 2).\nAnswer: -184*l**3 + 952*l**2 - 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 2, -16, -3280, 3 in ascending order.\nAnswer: -3280, -16, 1\/13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 2 + 4 - 98*d - 35*d to the form z + t*d and give t.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 62*y**2 + 13*y. Let g(i) = -i + 15. Calculate n(g(q)).\nAnswer: 62*q**2 - 1873*q + 14145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895 times -26.65?\nAnswer: 50501.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 80 + 8. Let w be (15 - 10) + (-10)\/(-2). Suppose 208 + 52 = -w*g. Is l < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/3 + 26*c**3 + 1030*c**2\/3 + 1150*c + 2500\/3 = 0. Calculate c.\nAnswer: -5, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88514 + -17 - ((-45)\/12 + 4\/(-16))?\nAnswer: 7, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 3*a - 33, 2*h + 1232 - 1224 = -4*a for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5938 greater than 6581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Let m(p) = -3*p**2 + 44*p. What is w(m(b))?\nAnswer: -6*b**2 + 88*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 422825 to the power of 1\/2, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllljlljll. What is prob of sequence lljl?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 6)*(-2*b + 1 - 4*b + 4*b) as l*b + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23*(16\/(-7) + 2). Let w = -469564 + 42730936\/91. Let l = r + w. Put 0.3, 0.5, l in descending order.\nAnswer: 0.5, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(245) + (sqrt(245)*-2*-2 - sqrt(245)) + 1*(-1 + sqrt(245)))**2*2*2.\nAnswer: -24504 + 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 396, 924, 1686, 2694, 3960, 5496, 7314?\nAnswer: 9426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2239, -2240, -2241, -2242, -2243?\n\"Answer: -w - 2238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 11619112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let c(h) = -h**3 - 4 - 2*h**2 + 0 - h**p + 2*h. Give c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*1*sqrt(136))\/sqrt(8))*5 + 1.\nAnswer: -5*sqrt(17) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*z - 226 + 56, -3*d - z - 100 = 0. Put d, 1, 0.1, 2 in increasing order.\nAnswer: d, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 81*b**2 - 242*b - 627. Determine x(-78).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f - 12. Suppose 28 = 5*t + 113. Let h = t + 29. Calculate the remainder when x(h) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 2*sqrt(440)\/sqrt(10) - sqrt(44))\/(1*sqrt(100)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/151 (b) -0.3 (c) 2 (d) 35 (e) -1\/6 (f) -3 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566193 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 701*l - 230*l + 0*l**3 + 2*l**3 + (3*l - 4*l - l)*(-4*l**2 + 4*l**2 + 2*l**2) + (-2*l**2 - 2 + 2)*(-3 + 3 - l) - 4 + 4 - l**3.\nAnswer: -l**3 + 471*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/3 of a day in minutes?\nAnswer: 34080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 2.4 (c) -2 (d) -534\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -8. Let p = b + 22. Suppose 0 = -k + o + 19 - 3, 3*k + 3*o = p. Calculate the remainder when 30 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276822.\nAnswer: 2, 23, 41, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11*j = -12*j + 3190, -2552 = -4*x - 3*j. What is the greatest common divisor of x and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - (-2)\/(-2))*(-10 - -11). Suppose 0 = 3*k - 4*m - 56, 2*k - m - g = 24. Let d be -8 - -4*(-3)\/k. What is d rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -10. Suppose 0 = -n*j - 0*j + 15. Suppose t - 180 = -j*t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 2 - (3 + -12). Suppose -3*r + x*r = 860. Suppose 53 = b + h + 2*h, -3*b + 4*h + r = 0. What is the highest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 99875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2579 != -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*((-2*sqrt(3993) - sqrt(3993)) + sqrt(3993))*2)\/(-6*sqrt(99)*2*1).\nAnswer: -11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*c**2 - 28 + 32 + 53*c**3 + 24*c**2 - 79 wrt c?\nAnswer: 159*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3977*u**3 + 2*u**4 + 25 - 7960*u**3 + 2*u - 19*u**2 - 5*u**4 + 4*u**4 + 3982*u**3 to the form v*u + y*u**4 + d*u**2 + c*u**3 + h and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8353, 16370, 24401, 32446?\nAnswer: 40505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/42 and 1\/247647911.\nAnswer: 1485887466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3\/8, -3, 1.\nAnswer: -3, -2, -3\/8, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-200)*2)\/((-7)\/5). Let t = 0.9 - 4.9. Let o = 0 - t. Which is the nearest to p? (a) -0.2 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**3\/3 - 3*m**2\/2 + 4*m. Let c be j(-3). Is 8 a factor of (12\/(-10))\/(c\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27189.\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - (sqrt(315)*-1 - sqrt(315))*-4)*3)\/((sqrt(330)\/(sqrt(12)\/sqrt(2)))\/(sqrt(198)\/sqrt(2) - sqrt(11))).\nAnswer: -126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*i + 24 = 5*s + 43*i, 11 = 2*s - 3*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 30*z + 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 29 + (2 - 5 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**4 + 3*x**3 - 48*x**2 - 48*x = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:38 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 24*j + 30. Suppose -76 = -2*b + 2*q, -j*b = -4*q - 95 - 21. What is the remainder when 2\/((-1)\/((-105)\/2)) is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -19, -4, -98, 5 in ascending order.\nAnswer: -98, -19, -4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*x - 4*x - q, 4*q - 16 = 4*x. Suppose 2*u + 2*l - 514 = x, 17*u - 19*u = -l - 508. Does 51 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/4)*f))**(11\/2)*(f**(4\/5))**(-1\/40))**(1\/7) assuming f is positive.\nAnswer: f**(-197\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.9 (c) 38\/9 (d) -24\/11 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, v: 11}. Give prob of sequence kvv.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, z: 1, w: 7, l: 2, o: 2}. What is prob of picking 3 w?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246738 by -2.\nAnswer: -123369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428566 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j*j*j**4*j)*j*j))\/j**(2\/17)*j**(-2\/7)\/j**(3\/4))**(-40) assuming j is positive.\nAnswer: j**(-23070\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 13*t - 2*t - 2*t**2 + 3 - 5*t. Let c be l(3). Let s = 446 - 410. What is the highest common divisor of s and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364825 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 335\/3 + -110. Let h(u) be the first derivative of 0*u + 4 + 0*u**2 - l*u**3. Let t(i) = -i. Give h(t(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890517478?\nAnswer: 2, 3371, 280409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 9*b**2 - 26*b - 6. Let o be r(-5). Solve -4*m + 22 = -4*j - 6, -3*m = -4*j - o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c - 63*c = 170 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -667.99998465 + 668. Round w to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06 or -84306.79?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375911 and 42387?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*a + 17, 2*a - 2 = 2*x - 0. Let i = -5 - x. What is the remainder when 20 - (0 + -1 + i) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -483*x**5 + 1443*x**4 - 465*x**3 - 1455*x**2 + 948*x + 12 = 0.\nAnswer: -1, -2\/161, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 10907650 to the nearest ten thousand.\nAnswer: 10910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -72*d - 139. Let h be j(-2). Solve h + 23 = -7*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*t - 15*t - 3955. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.0461 and 0.5.\nAnswer: -1.02305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 8. Let k be 1\/(m\/(-9)*-3). Suppose 2*x + 3*u + 3 = 0, -2*u = -k*x - 3*u + 13. Solve -x*o - 5 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136047002873.00000363 + -136047002163. Let m = z - 710. Round m to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972, 968, 962, 954?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*u - 24, 0*y + 2*y + 2*u - 40 = 0. What is the remainder when -4 + 1 - 912\/(-24) is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 - 157.3. Let o = 0 - 1. What is the closest to y in o, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100101 (base 2) to base 9.\nAnswer: -517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 4 + 2 + 4*j**2 + 0*j**3 + j**3. Let l be s(4). What is the nearest to -1\/2 in l, 1\/7, 2\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 1128)*2 + -10 + 9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1357 - 1266. What is the highest common divisor of 273 and t?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -479, -89 in descending order.\nAnswer: -9, -89, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.9 (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 459295639 a multiple of 3047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25331*j - 1262522 = -16440*j for j.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5950870 is divided by 44405?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4\/7 - 144*q**3\/7 - 264*q**2 - 1456*q - 2940.\nAnswer: -4*(q + 7)**3*(q + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -2bb39?\nAnswer: 2bb45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*-1*sqrt(637)*4 + 6*(4 + sqrt(1053)) + -2)**2.\nAnswer: 7760*sqrt(13) + 489668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14038, 55250, 123930, 220072, 343670, 494718?\n\"Answer: -a**3 + 13740*a**2 - a + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 75. Let m be (90\/w - 2)*3\/4. What is the tens digit of m\/8*(2*18)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20793 + 20803. Suppose 2*f + 2 = 0, 7*f - 4*f - 47 = -b. Calculate the smallest common multiple of b and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85248 divided by -9?\nAnswer: 9472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 17928 = -16500. What is the greatest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, o: 4}. What is prob of sequence cocc?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -22, -5, 1\/3, -7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 0 - (4 + -151). Let c = m - 90. What is the remainder when c is divided by 364\/18 - 4\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 3. Let g(a) = -a**3 - 8*a**2 - 15*a + 3. Let k be g(-4). Calculate u(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0292, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, 0.0292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -124, 2 in descending order.\nAnswer: 2, -2, -8, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*c = 1, 2*h + 4*c = 7 + 1. Let a be ((-20)\/8)\/((-1)\/h). Suppose 4*k - k = -9. Put k, -4, a in decreasing order.\nAnswer: k, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 754*c + 768*c - 1510*c - 252 in the form m*c + d and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 31. What is the common denominator of -29\/332 and (442\/120)\/1 - c\/(-12)?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -566 - -570. Suppose -4 = -4*z + 2*a, 4*z + a - 6 = h*a. Solve -t - 5*o - 30 = z, 5*o + 17 + 8 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4324812612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 35*c**5 + 534*c**4 + 178*c**3 - 25296*c**2 - 89613*c - 64638 = 0.\nAnswer: -9, -114\/35, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:31 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 4*k + 173. Let g be n(0). Let u = g + -518\/3. Sort -3\/5, 2, u, 4.\nAnswer: -3\/5, u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11993 * -0.5\nAnswer: -0.059965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 less than -0.0084?\nAnswer: -0.1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9768259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25924 or -2881?\nAnswer: -2881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*m**2 + (28 + 2*m - 28)*(5 + 135 + 25 - 2*m) to l*m**2 + b*m + n and give b.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7443 and 290010.1.\nAnswer: 297453.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.2, 1, -8\/39, -27?\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4 + 2. What is the common denominator of 1 - 63\/2*y and 2*(-39)\/18 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1 + 9. Let r(v) = v**3 + 10*v**2 + 7*v - 4. Let b be r(-9). Suppose 8*d + b = d. What is the smallest value in -1\/4, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032694 to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - -9 - 14) + -51 + -1.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 12382*a - 17916157.\nAnswer: -(a + 1673)*(a + 10709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 3*g**2 - 3*g + 3. Let q be z(-3). Solve -3*u = -3 + q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -0.179 (c) 0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 18*d**2 + 19*d + 44. What is l(10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (-4 - 4) - (6 - 9). Let m = 1 + 2. What is the closest to l in -1, 2\/19, m?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-3)*-3)\/(-2 - -16).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 - -125. Which is the closest to 2\/5? (a) 0.5 (b) 2\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((210\/(-516))\/(-5))\/((-518)\/(-296))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 0 - -13)\/(4*3\/6). Let a be (-10)\/(-4)*(-30)\/(-75). Suppose 2 - a = l. Calculate the highest common divisor of j and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 1. Let f be q(-4). Suppose -116 - 23 = -4*j + 5*k, 146 = f*j + 3*k. Let b = j - 17. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -124, -296, -524?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 0*l**3 + 1\/6*l**5 - 23\/24*l**4 + 0 - 25*l**2 + 0*l**6 - 2*l + 0*l**7 + 1\/168*l**8. Find the second derivative of a(k) wrt k.\nAnswer: 40*k**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((-1080)\/12)*-6*(-3)\/(-12).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -462647.8793 and -57.12.\nAnswer: -462704.9993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + -1.6. Let p be ((-6)\/88)\/(558\/(-24)). Let g = p - 345\/1364. What is the second biggest value in t, g, 2, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248061440 a multiple of 2560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + d - 3, -9 = u - 4*u + 5*d. Suppose -5*q = -2*j - 6, -257*j + 259*j - 2 = q. Suppose u*w + o - 461 = q*o, w - o = 157. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**0)**(-41) assuming w is positive.\nAnswer: w**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -1.097.\nAnswer: 9.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/36? (a) 1\/3 (b) -0.4 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-18)*6\/(-4). Let a = -2.02 + 0.02. Let y = a - -2. Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37811489 - 8648.\nAnswer: -37820137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 8. Let w be f(8). Suppose 3*o + 4*b - 21008 = w, -8 + 2 = -3*b. Round o to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106541231?\nAnswer: 106541231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 - 219*l - 8. Let h(p) = -5*p**2 - 292*p - 11. Determine 8*h(j) - 11*k(j).\nAnswer: 4*j**2 + 73*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3368299*n**2 + 10089248*n?\nAnswer: 6736598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1473, -2, 5, 1 in descending order.\nAnswer: 5, 1, -2, -1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-5) + (-1784)\/(-40). Suppose -2*m = -16 - h. Let q = m + 29. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104250261 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/6*8*268968\/(-32020).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11056085*h**3 - 16550968.\nAnswer: 33168255*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 11:11 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/30 + 112*w**2. Let d(m) = 3*m**2 + 24*m. Calculate d(n(i)).\nAnswer: 12*i**4 - 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 1, e: 1, a: 12}. What is prob of sequence xave?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10633.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 1, d: 1, o: 1, k: 1, h: 1}. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -x + 4*x. Let a(y) = -3*y - 3. Let f be a(-5). Let t = f - 8. Calculate the smallest common multiple of x and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 22, -27491, -5, -14, 0 in increasing order.\nAnswer: -27491, -14, -5, 0, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 6:06 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(171))\/(-3*sqrt(15)\/sqrt(5)))\/(2*((sqrt(75) - 5*1*sqrt(75)) + sqrt(75) - sqrt(75))).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-3)\/(-6)*2\/26\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.4, 0.3, 0.01, 0.11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 11698150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/19 - -69\/38. What is the closest to 1 in v, 4\/5, -3\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 86. Let p be k(43). Solve -1\/4*f + p - 1\/4*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 169*t**2 + 335*t - 2553. Determine m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 3*x**4\/4 + 3*x**3 - 3*x**2\/2 - 6*x + 6. What are the prime factors of g(4)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17843, -35691, -53539?\nAnswer: -71387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127603?\nAnswer: 7, 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*m + 5*i + 3, 0 = -3*i + 15. Let k be (-2)\/m - 208\/(-336). Is k at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*u**2 + 6483*u - 1996.\nAnswer: (u + 499)*(13*u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(75\/20) + 2*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 t when three letters picked without replacement from oojcjjtjj.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637821.\nAnswer: 3, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - 3*k + 3*k)*(3*k + 11*k - 2*k)*(0*k**2 + 2*k**2 - 3*k**2) in the form g*k**2 + c + j*k**3 + b*k**4 + q*k and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*g**2 + 10*d*g + 117*g**2 + g - 3 wrt g.\nAnswer: -4*d + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**5 + y**3 + 2. Let i(d) be the second derivative of 4*d**7\/21 + d**6\/30 - 9*d**5\/20 - 17*d**2\/2 - 3*d. Let s(w) = 6*i(w) + 51*o(w). Factor s(j).\nAnswer: -3*j**3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {j: 4, r: 2, w: 2, h: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/54)\/(15\/21)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 42*d - 2524. Let w be h(60). Let p(v) = -2*v**3 - 9*v**2 - 6*v + 3. Determine p(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1573))*2 - (sqrt(1573) + 1 + sqrt(1573) + sqrt(1573))*2)**2.\nAnswer: 352*sqrt(13) + 25184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/12 - g**4\/12 + g**3\/3 - 11*g**2. Let a be r(1). List the prime factors of 22\/(-55) - 297\/a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89197.\nAnswer: 191, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - (-2 - (-1 - -4)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 629.497um?\nAnswer: 0.000000629497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/35 - (-23)\/5. Suppose 7*f + r + 3 = 0. Sort f, 19, -4 in decreasing order.\nAnswer: 19, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43.5 - 55. Let l = 11.3 - -0.7. Let n = l + o. Which is the second biggest value? (a) n (b) 0.02 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, j: 6}. Give prob of sequence kkj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/5))**(-31)\/(g\/(g*g\/(g**(-2\/7)*g)))**(5\/2)*g*g*g**1*g*(g**(-4)\/g)\/g*g*(g*g\/g**3)\/(g\/(g*g**(-4))) assuming g is positive.\nAnswer: g**(-836\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1689a + 11?\nAnswer: -16889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.00403 - -516.89597. Let k = l + -518. What is k rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228768723 divided by -53.\nAnswer: 4316391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2328*q**4 - 2307?\nAnswer: -9312*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -4.5, -1\/5.\nAnswer: -4.5, -0.26, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002923231097 to six decimal places.\nAnswer: -0.000292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 257 - -20791?\nAnswer: 20a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2)**2*-5.\nAnswer: -45980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -967 bigger than -805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 27. Calculate a(10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3\/9 - 108020*l**2\/9 + 216046*l\/9 - 36008\/3 = 0.\nAnswer: -54012, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106863694 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -107*v - 4069. Determine m(-40).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 8 = 4*o, 3*u - 961768 + 961771 = -3*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 6:42 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1 - m**3 + m**3 + 0 - 4*m**3. Let v be p(-1). Suppose -3*r + 23 = -4*g, -3*r + v*r - g = 12. Solve 2*l = -3*u, l = r*u - 4*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.82875 * 0.61\nAnswer: -5.3855375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505897.\nAnswer: 7, 72271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1 - -8) + -1 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -588*r**4 - 9*r**2 - 21144 wrt r?\nAnswer: -2352*r**3 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12549388987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 2*t - 6*t + 4*o, 0 = 2*o - 6. Let m = 11 + -6. What is the highest common divisor of m and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 (base 12) to base 5\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1717.887716+-1874\nAnswer: -3591.887716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:01 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 4. Give u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 300524915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 6*r**2 - 9*r - 3. Let g be k(3). Let j(n) = -2*n**2 + n + 1. Let i be j(2). What is the closest to -1\/4 in 2, i, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10 (b) -4 (c) -0.1 (d) 1 (e) 1617 (f) -3 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 79*y - 334. Determine p(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, u: 1, e: 1, c: 5}. Give prob of picking 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-12)\/2))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.49 + 0.01. Let a be 1\/8 + 0\/(-3). What is the smallest value in -0.2, x, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1003 + 1031.12. Round c to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -31*r**3 + 2*r**2 + r. Suppose -g + 113 - 104 = 0. Let k(a) = a**2 - 7*a - 7. Calculate the remainder when f(-1) is divided by k(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -36*m + 1. Calculate y(-2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24908 - -24912. Let n(y) = y**3 - 2*y**2 - 9*y + 7. Determine n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38390 rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 - -41608030.\nAnswer: 41608030.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 280786 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/9 - 2)\/(-1). Let r = -0.08 - 2.92. Which is the closest to -0.1? (a) r (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Suppose -x*p - 8 = 2*d, 3*d + d + 16 = 0. Suppose 2*u - 25 = -5*w, -22 = 4*w + 5*u - 59. Sort p, w, -11.\nAnswer: -11, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -35*i**3 + 1130*i**2 - 2420*i + 600 = 0.\nAnswer: 2\/7, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 5\/9 (b) 1\/16 (c) 1\/2 (d) -4\/7 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1940)\/6111)\/(1\/(-70)*3*4).\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b. Let h(v) = 637498*v**2 - 3*v - 4. Let r(z) = h(z) + 2*m(z). Let l be r(-4). Round l to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86922, -173841, -260760, -347679, -434598?\nAnswer: -521517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8860?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 + 168. Let y(f) = -2 - 3*f - 3*f + 5*f. Let j(z) = z + 2. Give v*y(k) - 3*j(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -42, -97, -204, -381?\n\"Answer: -3*g**3 + g**2 - 3*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1914.49124 + -1236002?\nAnswer: -1234087.50876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 0, 2*m - 52 = 2*k - 4*k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.7 to zero dps.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 42 + 2 = 0. Let j = a - 8. Suppose j*q = -q + 48. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4ca (base 16) to base 14\nAnswer: -638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 84.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 273443*z - 273443*z.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 28 = -7*m - 4*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*35\/((-40)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 2 - 3 - 3*j)*(7*j**2 + 323*j - 323*j + (0*j + j + j)*(2*j + 1 - 1)) as n*j**3 + q + k*j + h*j**2 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5698 = -12*m + 14. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - 3 - (22 + -19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -6*q + 35. Suppose 2*r = j - 3*j + 1534, q*j = 16. What is r rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(4320)*-2 + sqrt(4320) + sqrt(4320) + sqrt(4320))\/(-4*1*sqrt(216) + sqrt(216) - sqrt(216) - sqrt(216)).\nAnswer: -18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -207 + 1165. What are the prime factors of x?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*3*1 + (sqrt(156)*-3*2 - sqrt(156)))\/(-5*3*6*sqrt(48)\/sqrt(4))*-4.\nAnswer: -8*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (568*q - 9064*q - 4132*q)*(0*q**3 - 2*q**3 + 4*q**3) in the form t*q**4 + v + p*q**2 + r*q**3 + w*q and give t.\nAnswer: -25256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*q**2 - 84*q**2 + 195*q**2)*(-2*q + 0*q + 7*q) + 4*q**3 + 2*q**3 - 8*q**2 - 4*q**3 - 2*q in the form b + w*q**2 + o*q + a*q**3 and give a.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -11*c + 8*c. What is the derivative of -4 - 9 + 2*p**c - 9 wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 141. What is the hundreds digit of 92*v\/(-4)*(-14)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13416958?\nAnswer: 2, 23, 137, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((612\/(-63))\/(-17))\/((-2)\/(-7)). Solve j*r + 1 = g, r + 3 = 3*g - r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1149*j**2*l + 2*j**2 + 2*j*l - 264*l wrt j?\nAnswer: -2298*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + (1 - 6) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.075 + -2.0757535. What is t rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6550, 23 in descending order.\nAnswer: 6550, 23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*b*c*o**2 + 290*a**2*c*o**2 + 2*a**2*c - 2*a*b*o - 2*b*c*o**2 + 2*b*c*o - 2*b*o**2 + b*o - 4*c*o wrt a.\nAnswer: 2*b*c*o**2 + 580*c*o**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times 0.23556?\nAnswer: 8.48016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 593 - 558*n**2 - 515*n**2 + n + 1075*n**2 + (1 - 1 - n)*(n - n - 2*n).\nAnswer: 4*n**2 + n + 593","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4 - 1. Let p = l + 1. Let n be -4 + (-5)\/(-1) + p. Solve 0 = 4*a, 2*t + 2*a = -9 - n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032313 plus 9.74008?\nAnswer: 3032322.74008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -581? (a) 0.11 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.591400787 rounded to four decimal places?\nAnswer: 2.5914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11001010000010 (base 2) to base 12\nAnswer: -7596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**2)\/t)**(-47)*t\/((t*(t**(-2)\/t)\/t)\/t)*t\/(t\/((t*t*t*(t*t**(-4\/7))\/t)\/t)))**(4\/13) assuming t is positive.\nAnswer: t**(2812\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -690 - -698 - (-2 + 2 + (-2 - -23)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 220.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 31 = -5*m, 14*l - 3*m = 15*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102606915?\nAnswer: 3, 5, 6840461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 3, -2, -1.6, -0.1 in descending order.\nAnswer: 3, -0.1, -1.6, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-8\/9)*p)\/p**(-15)*p*p**(1\/8)*p**(-14\/3)*p assuming p is positive.\nAnswer: p**(1049\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1285*g + 9. Is v(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6537 = 1370*j + 809*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h - 8. Let m(a) = a. Let k(o) = d(o) - 3*m(o). Let y(p) = -3*p**2 + 14*p + 67. Let w be y(25). Let q = 1447 + w. Give k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214992902 divided by -107496451?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 9611698.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_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: Expand (2*m - 7*m - 7*m)*(-9 - 20 + 12).\nAnswer: 204*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**2 + 15*u**2 - 39*u - 1136558 + 1136557 + (-4*u + 3*u - u)*(u + 2*u - 4*u) as x*u**2 + h + n*u and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 267*w**4\/7 - 3210*w**3\/7 + 72*w**2\/7.\nAnswer: 3*w**2*(w - 12)*(89*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20027*d - 5*d**2 - 40064*d + 20037*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/634730 and -25\/888622.\nAnswer: 4443110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = f - 14. Let q be (f\/(-4))\/((-7)\/(-56)). What is the remainder when 1 - -69 - (q - 2) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305.25 - 305. Let s = -0.05 - 0.2. Let g = h + s. Sort 3, 2, g in decreasing order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23292615 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/4 + -7 + 4. Let f(w) be the third derivative of -3*w**2 + 1\/420*w**6 + 0*w - 2\/21*w**3 - 2\/105*w**5 + 5\/84*w**g + 0. Let f(p) = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/9*3*(-1)\/(-2). Let a(q) = -3 - 2*q + 2*q + q**2 - 5*q. Calculate the remainder when a(h) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 20*d + 69. Let g be z(23). Suppose g = 2*l + 3*u - 272, 0 = -3*u - u - 8. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 3*r + 2*r)*(3 + 4 - 4)*((2 - 2 - 1)*(-1 + 3 + 0) + 8 - 2 - 2) to h*r + o and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 100855*l - 403751. Calculate c(4).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 43013 + 61972. Let f = 12084 - g. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 18*z**2 - 18*z - 48. What is the units digit of c(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90.24*1.6036\nAnswer: -144.708864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5847571?\nAnswer: 137, 42683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(10)\/(-6*sqrt(2)) + 3 + (sqrt(405) + -6*((sqrt(405) - 5*sqrt(405)) + sqrt(405)))**2.\nAnswer: 5*sqrt(5)\/6 + 146208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 3)*17\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, j: 1, y: 4, x: 1}. Give prob of picking 2 t and 1 y.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*z + 4 - 7*z + 17*z)*(-4*z + 4 - 4) to the form r + k*z**2 + d*z and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1900)*2 + -1)**2.\nAnswer: -15202 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 7*n**2 - 3*n - 3. Let d(a) = -2*a**3 - 6*a**2 + 2*a + 2. Let r(h) = 3*d(h) + 2*t(h). Solve r(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 + -9.87. Let y = -10 - k. Sort y, -2\/3, 1\/8 in ascending order.\nAnswer: -2\/3, y, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1*(-2)\/(-6)). Let x be s\/15 - 3\/(-15). Suppose 0 = 4*a + 2*o - 2, -3*a + 1 = 2*o - x. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*n + 4*n. Let u = 13 - n. Suppose u*o - 5*o + 37 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -1 - 18 - (-8 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (13536\/(-396) - -34 - (-513)\/(-22)).\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*m + 2 = 0, -m - 3*m + 8 = 0. Suppose 2*v - b = v. Let p be (v - (13 + -3))\/(-2). Is 4 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(80)*2*-1 + 2*(2 + (sqrt(500)*-2)**2).\nAnswer: 16*sqrt(5) + 4004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2. Let o(v) = -4*v**2 + 2*v + 4. Let h(d) = -o(d) - 3*z(d). What are the prime factors of h(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519198589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -217101699\nAnswer: -217101699.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 8:41 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32790517 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.037 and -1332?\nAnswer: 1332.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 15*u + 14. Let w(a) = 3*a**2 - 7*a. Give -q(l) - 2*w(l).\nAnswer: -7*l**2 - l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -29. Suppose 3*s = -y + k, -3*y - 5*s = -y - 52. Suppose -34 = -5*o + y. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*c + 9 = 2*j, -3*c + 12 = 4*j. Let p = -23 + 30. Suppose -2*f = -5*g + 18, f + 3*g - 5*g = -p. Calculate the highest common divisor of j and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 924277069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66083, -132168, -198255, -264344, -330435, -396528?\nAnswer: -462623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1172*-308.574\nAnswer: -361648.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-3) - -1 - 0. Let z(o) = 4 - q*o - 4. Let c(l) = 6*l + 8. Let g(j) = 4*j + 5. Let a(p) = 5*c(p) - 8*g(p). Determine a(z(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 - 8\/12. Suppose -1\/2*x**5 + 1\/2*x + 0*x**3 - x**2 + x**4 + v = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)*(-1)\/1. Let k(w) = -5*w - 1. Let p be k(b). What is the highest common factor of p and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154922 divided by -142\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: f10 (base 16) to base 5\nAnswer: 110411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 2*j**3 - 2*j**3 + ((1 - 2 - 3)*(0*j**2 + 0*j**2 + j**2) - 7*j**2 - 11*j**2 - 8*j**2)*(0*j + 4*j - 2*j).\nAnswer: -63*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**5 + j**4 - j**3 + 2*j**2 + j + 1. Let k(t) = -3*t**5 + 5*t**4 - 10*t**3 - 6*t**2 - 7*t + 1. Let l(w) = -k(w) + 4*o(w). Factor l(y).\nAnswer: -(y - 3)*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 46 (b) -4\/271 (c) 2 (d) -0.07 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + (sqrt(384) + sqrt(384) + -2*sqrt(384) - sqrt(384)))\/sqrt(12)*5)**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -336.837 - -337. Let t = y - 12.463. Let m = 12 + t. Put m, 2, 0 in descending order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*y - 3048 = -472 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 166, 465, 914, 1531, 2334, 3341?\nAnswer: 4570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w - 37. Let v be d(7). Suppose 4*s + 13 = -i + 2*i, -5*i = -25. Calculate the remainder when 74 is divided by 15 + (v - (s + 3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.24 + -0.24. What is the smallest value in 0.1, o, 3, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**2 + 1511 + 0*z**2 - 1510 + 8526*z**6 + 4211*z wrt z?\nAnswer: 1023120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:47 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n - 251 - 243. Suppose -22*q + n*q - 8 = 0. Solve q*z = -10 + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(126))\/sqrt(3) - sqrt(42))\/(sqrt(16)\/sqrt(2)))\/(sqrt(56)\/(sqrt(72)*-3)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 16 - 8*h - 12*h + 19*h. Does 3 divide a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/11 + 188*h\/11 + 368\/11 = 0. Calculate h.\nAnswer: -92, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l - 12. Let q be 1\/2 + (-56)\/l. Suppose -4*k - 4*f + f + 87 = 0, -5*k = -q*f - 70. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5980 (base 16) to base 8.\nAnswer: 54600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let s(f) = 555221*f. What is s(p(o))?\nAnswer: 555221*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047 * 0.1.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 710\/29 + -4373\/348. Suppose -6*i = -4*j - 2*i + 2308, 0 = -j + 2*i + 582. What is the common denominator of x and j\/8*(-3)\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 3*o + 111.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(-2)\/(-8)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2599374922.\nAnswer: 2, 29, 44816809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 66*i**2 - 857*i - 9. Let k be m(13). Factor -q**3 + 1\/3*q**k + q**2 - 1\/3*q + 0.\nAnswer: q*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21538 by 6.\nAnswer: -10769\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24255882 is divided by 258?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 0, -17, 5 in descending order.\nAnswer: 5, 3, 0, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61532, -123067, -184602, -246137, -307672?\nAnswer: -369207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 5*z - 2*o = -87, 2*z + 4*o - 38 = 0. What is the third derivative of -9*m**3 + 18 + z - 38*m**2 - 35 wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144153697?\nAnswer: 59, 2443283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/66 + (288\/(-33))\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -5.\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/88263 and 97\/5604?\nAnswer: 353052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 620813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3\/7, -30, 2\/21, 183, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637938 is divided by 14756?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1146341?\nAnswer: 4\/1146341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/((-483)\/23))\/(6\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 4587\/6926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 11*n + 14. Determine v(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 542*x - 530*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 249348 and -0.2.\nAnswer: -49869.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:35 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/203 in 2, -0.4, 0.4, 22\/73?\nAnswer: 22\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3164)\/(-4746)*((-6)\/(-5))\/(-2))\/(8\/2540)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 2*r**3 + 0*r)*(-4 + 4 + 1) + r**3 + 4*r**3 + 0*r**3 + (538*r + 24*r**3 - 538*r)*(1 - 2 + 0) in the form p*r**3 + s*r**2 + v + d*r and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 11. Which is the biggest value? (a) q (b) -1\/10 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkbbkkkbkkkkkkkbkk. Give prob of sequence bkk.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1044792947 and 319?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13*w**2 + w - 7. Let m(f) = -f**3 + 3*f**2 + 11*f. Let k be m(5). Let r(x) = 19*x**2 + x - 10. Let v(s) = k*r(s) - 7*z(s). What is v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**6\/33 - 74*z**5\/55 - 135*z**4\/22 - 190*z**3\/33 + 136*z**2\/11 + 24*z - 12884. Find f, given that q(f) = 0.\nAnswer: -33, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b**3 + 2*b**2 - 3. Is j(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 - 3*c + 6. Suppose 0 = -3*q - 6*h + 5*h + 2, 3*q + 3*h = 12. Let z(x) = 4 - x - 3 - x**2 + 2*x**2. Let p(n) = q*k(n) + 4*z(n). Factor p(t).\nAnswer: (t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 40*t**3 + 96*t**2 - 40*t - 100.\nAnswer: 4*(t - 1)*(t + 1)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**3\/6 - 37*w. Give o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -95*q**4\/6 + q**3 - 3*q**2 + 91*q. Let h be l(1). What is h rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/t**(-1)*t)))\/t**22*t*t*t**18*t**(-1)*t*t assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (304\/34 + -9)*(-3)\/((-12)\/8).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 17 = -d, -3*d - 5 = -0*d + 5*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1251830)\/(-15))\/(8\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from eueuueleugeleuneule.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1860 - -5582\/3. Which is the fourth smallest value? (a) f (b) -0.01 (c) 0 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016925451 to seven dps.\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-106)\/(-636))\/((5\/(75\/(-6)))\/16)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.077 + 0.177. Let z(h) = -2*h**3 - 5*h**2 + 5. Let x be z(-4). Let o = x - 57. Which is the nearest to 0? (a) 2\/9 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(3\/5)\/(i*i**5\/i))\/(i**(-2\/3)\/i**(-1\/5)))**36)**30 assuming i is positive.\nAnswer: i**(-4248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 25 - ((1 - 3) + 9) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58\/107 - 6117\/428. Put -0.12, -5, 2\/17, n in ascending order.\nAnswer: n, -5, -0.12, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2 - 5033301*q**2 - 3*q + 5033309*q**2 - 4. Let s = -8 + 5. Is 10 a factor of v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**6\/120 - u**5\/12 + 5*u**3\/6 - 6*u**2. Let y be n(-5). Suppose -y*w + 253 + 77 = 0. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:49 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**14*k**13 assuming k is positive.\nAnswer: k**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m + 8*m**2 - 13*m**2 - 8*m.\nAnswer: -5*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2701*s + 6*s**2 + 12 + 33 + 2701*s to the form y + l*s**2 + j*s and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(1*sqrt(108)))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-5 - (0 - 36)) - (0 + 43 - -1)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - n - 10 = 0, 0 = -26*k + 31*k - n - 31. Solve -k = 27*t - 142 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862934?\nAnswer: 2, 59, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**3 + 3405*z**2 - 5*z - 3405 = 0. Calculate z.\nAnswer: -681, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 - 0.2. Let z = o - 5.03. Sort 0.2, -0.5, z in decreasing order.\nAnswer: 0.2, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 69025057*h - 69055059*h - 5 + 5 in the form y + b*h and give b.\nAnswer: -30002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2492 and 3382?\nAnswer: 47348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 u when three letters picked without replacement from {u: 2, i: 2, d: 3, b: 3, l: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*i - 4, -2*v + 7 = -3289*i + 3290*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 128289 + -3?\nAnswer: 128286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(35*b - 35*b + 95*b**3) - 1 + b**3 + 1.\nAnswer: -379*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -195, -351, -669, -1149, -1791, -2595, -3561?\n\"Answer: -81*f**2 + 87*f - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 27*z + 220 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4 + 114*j**3 + 612*j**2 + 496*j = 0 for j.\nAnswer: -4, -1, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 23*i - 50. Let q be g(-21). Let k(z) = -z**2 - 9*z - 9. Give k(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576268 and 1152536.\nAnswer: 1152536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 26*p**2 + 10*p + 71. Let o(g) = 9*g**2 + 3*g + 23. Give -7*o(m) + 2*z(m).\nAnswer: -11*m**2 - m - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/30 + 3*b**2. Let l(c) = -c. Calculate l(j(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 832301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -18*w - 4. Let i(a) = -18*a - 4. Let s(n) = 7*i(n) - 6*x(n). Does 9 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74 and (-3)\/(-10 - (-295)\/30).\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 3647.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54528 and 80940.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**2 + 0*p - 11*p**2 + 0*p. Let z(f) = f**2. What is d(z(u))?\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 42. Let g be v(23). Solve g*i + 0*i + 16 = -4*u, -4*u + 20 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**4\/5 + 192*o**3\/5 - 729*o**2\/5 + 108*o = 0.\nAnswer: 0, 1, 3, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 22008?\nAnswer: 22008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12649 and 278?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = 4*u. Suppose 0 = f - 4*s + 4, 3*f + u = -0*f + s. Sort -3, 4, f in increasing order.\nAnswer: f, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 + 2*m - 5. Let o be q(1). Solve 4*g - 3*g = o*c + 18, -c = 2*g + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q - 248. Let g be y(24). Let r(n) = 5*n**2 - 1. Let a(c) = -14*c**2 + 4. Calculate g*r(x) - 3*a(x).\nAnswer: 2*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*w + 1 - 2*w)*(-13 - 2 + 20)*((0 + 0 + 2)*(-3 + 3 + 1) + 6 - 4 + 0) in the form f + g*w and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**4 - 28186*f**3 + 20*f**2 - 496*f - 4 wrt f?\nAnswer: -72*f - 169116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5674 + -5695.155. Let m = -21 - b. Round m to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*36\/(-12). Let h = -3 - y. Put -5, h, -3 in increasing order.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 526*o + 69169.\nAnswer: (o + 263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*o + 3299992, 4*r + 2200016 = 2*r + 4*o. Round r to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 4)*((6*k - 11*k + 8*k)*(-5 + 0 + 3) + 31*k + 53 - 53) to the form r + g*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-338 - (-18 - -10))*(-11)\/2. Calculate the highest common divisor of 55 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3830649 to 3 dps.\nAnswer: 1.383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -29449 = -29456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 14 = 5*h. Let w = 18 - 9. Find the first derivative of -h*a**2 + 2*a**2 + 3*a**2 - w + 5*a**2 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 1 + (-15 + 4)\/(1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 9, 0, -2\/7, -3272, 0.3, -0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 151?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 254586 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.8 - -18. Let m = -1.73 - d. Let y = -1.93 - m. Which is smaller: -1\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*n - 3*n. Let k be (-3)\/7 - (-3456)\/n. Let y = 69 + k. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from uqouuhnqnnqoun.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**2 - 15*p + 15. Let w(q) = -q**2 + q. Let s(u) = -n(u) + 4*w(u). Let b(j) be the first derivative of s(j). What are the prime factors of b(9)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 10 - 8)*(-3 + 17 - 7)*(0 - 2*s + 0)*(-2 + 0 + 0 - 2*s) as y + k*s + m*s**2 and give k.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97285 + 486421\/5. Suppose w - 18 = 3*o + 6*w, -3*o - 4*w - 15 = 0. Which is the nearest to 0? (a) 0.5 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 692 divided by -10914.\nAnswer: -346\/5457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) -4 (c) -3 (d) 62 (e) -5 (f) -50 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c**2 - 19*c - 3. Let p(t) = -24*t**2 - 38*t - 5. Calculate -5*b(z) + 3*p(z).\nAnswer: -7*z**2 - 19*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.49378 to 2 decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 1, m: 1, d: 2, g: 1, s: 2}. Give prob of picking 1 s, 1 z, and 2 d.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 6*c - 3. Let z(o) = 2 + 7*o - 2*o - 2*o**2 - 9*o. Give -5*h(v) - 7*z(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 21336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*j**2 + 13971*j + 586170.\nAnswer: 3*(j + 45)*(7*j + 4342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00563316 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -399 (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*q + 3*m + 43, -3*q = 5*m - 41. Let p be (-135)\/(-7) - q\/42. What is the highest common divisor of 38 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35570000 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 2*o + 3*o)*(-234 - 81 - 30).\nAnswer: -2760*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 59 = 2*z. Sort z, 3, -4, -18 in descending order.\nAnswer: 3, z, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -0*v - 9*v. Suppose 0 = 4*m + 3*i - 706, 2*m + 3*i - 286 - 70 = v. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 4*a + 94, 2*a - 59 = -i. Suppose 2*t = -2*p + 3*p + 19, 0 = 4*t - 5*p - i. Solve -4*w + t = -5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008574127166 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1945*t + 49133 = 611*t + 897*t - 151141 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/18227 + -7381949\/127589. Let r = 86 + -144. Let s = r - v. Which is the nearest to 2\/13? (a) s (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h - 48 - 487 - 11. Let y(w) = w**2 + 52*w + 425. Give y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 262?\nAnswer: -235.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1152*j**4 - 75*j.\nAnswer: 13824*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 195 - 189. Solve h = 4*g + y, -2*h - 8 = g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (sqrt(5)*2 + -4 + -2 - (3*((sqrt(40)\/sqrt(2) + sqrt(20) - sqrt(20)) + sqrt(20)))\/sqrt(4))).\nAnswer: 24*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -75074 (base 9) in base 13?\nAnswer: -19795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 + 8*i**4 - 5508*i**3 + 62*i**2 - 2*i - 11405 wrt i?\nAnswer: -120*i**2 + 192*i - 33048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 539*u**4 + 42*u**2 + 38571.\nAnswer: 2156*u**3 + 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27087416567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + z**2 + 0*z + (2*z + 4 - 4)*(4 - 1 - 5)*(-3*z + z + 0*z) + 3*z + 5*z**2 - 3*z.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 58649.45 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 10 - (-4 - -2). Let k = 36 + p. Suppose 3*d - 5*v = k, -5*v = 2 + 23. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:27 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2884 take away -1413588967?\nAnswer: 1413591851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 15*z + 66 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3, 17866.72 in descending order.\nAnswer: 17866.72, 3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/981 and 53\/4.\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1771, 37, 5, 9, -4, -2 in ascending order.\nAnswer: -1771, -4, -2, 5, 9, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -811 (base 11) in base 8?\nAnswer: -1724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from qttqdddezq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 463 + -309. Let h = 154.2493867 + -0.2382867. Let z = b - h. Round z to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/17)\/(3\/(-2)). Is g >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oodoooodooddoododoo. Give prob of sequence dddd.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62616 divided by -31308?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*x + 44*x - 5*x**4 + 0*x**4 + 23*x**2 + 6*x**4 - 1 as l*x + u*x**2 + s + n*x**4 + g*x**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-7))\/(22\/(-7)). Let d = m - -67\/154. Which is the nearest to 1? (a) 4 (b) 2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 828*0.75\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269604315.\nAnswer: 3, 5, 41, 67, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - 133\/(-21))\/((-3)\/(-333)) - 4. Solve -9*v = -u + 60 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33111, 33349, 33587, 33825, 34063?\n\"Answer: 238*y + 32873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 11:58 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 + 3*x + 1. Give v(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 6*r - 5. Let g be b(-11). Let l = 66 + g. Solve 0 = 3*z - 0*z - d - l, d - 6 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*n - 11256 = -2*n - 11*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/81 + (-68)\/18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2542 - 2536. Let s = -14 + -25. Does 8 divide s*(-4 + 22\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5)*-1)**2 - ((2*sqrt(25))\/sqrt(5))**2 - (sqrt(40)\/(sqrt(288)*1))**2.\nAnswer: -1625\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2335*h**2 + 529. Let v(o) = 2*o. Give y(v(i)).\nAnswer: 9340*i**2 + 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*863.27.\nAnswer: -25.8981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 347531.1 hours in seconds?\nAnswer: 1251111960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3) - (-128)\/192.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 5:53 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*x + 100*x + 39*x + 1649*x as s*x + v and give s.\nAnswer: 1831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*g + 21, 5*s - 24 = 2*g - 6*g. What is the remainder when 41 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1. Let b(f) = -f - 2. Suppose -5*u + 95 = 5*x - 0*u, -19 = -x + 4*u. Let y = x + -14. Give y*a(d) - 2*b(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(1 + 0\/(-1)). Suppose 5*i - 18 = -3*f, 2*i - 2*f + 0*f = 20. Let t be ((-15)\/6 - (-9)\/i)*-1. Solve x*p = -2*o - 4, o + t = -5*p + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33*(-12)\/9*(-49)\/28. Suppose 0 = -48*c + f*c + 87. Let v(i) = 5*i + 9. Give v(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*p**3*x**2 + 3069*p**3 - 2*p**2 - 1978*p*x**2 + 2*x**2 - 2 wrt x?\nAnswer: -8*p**3*x - 3956*p*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/10)*q\/((q\/(q*q**(-11)))\/q)*q*((q**(-10)\/q*q)\/q)\/(q**(-8)*q) assuming q is positive.\nAnswer: q**(-121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(2*(324\/48)\/9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 3*m**2 + 2. What is the remainder when 4 is divided by h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkww when four letters picked without replacement from {k: 2, w: 16}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3 = 3*t, -2*i - 5 = -2*t - 3*t. Suppose i = 2*k - 5*k + 15. What is the remainder when 12 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 291055 from 276.\nAnswer: -290779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 0, n - 3*g = -2*n - 9. Sort 0, n, 1.\nAnswer: n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1949 + -1125. Find the third derivative of 0*y**4 + r*y**2 + 53*y**4 + 10*y - 826*y**2 wrt y.\nAnswer: 1272*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t. Let m(s) = -671*s - 12. Let y(c) = 665*c + 14. Let i(p) = -7*m(p) - 6*y(p). Determine i(d(r)).\nAnswer: -1414*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 17*q**2 - 24*q - 4. Let m be g(-17). Suppose 5*s - 5*i = -1540, -m = 2*s + 2*i + 200. Is 14*5\/((-50)\/s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/5)\/((-570)\/(-4001400)). Which is smaller: v or 5617?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*h + 2 - 2 + 0 + 15*h.\nAnswer: 218*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.630282 - 0.03354\nAnswer: 2.596742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.258\nAnswer: 0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 1, w: 1, m: 3, i: 3, r: 2}. Give prob of sequence zm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536306207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v**3 - 4*v**2 + 4 + 2*v**2 - 2*v**2 - 16*v + 0*v**2 = 0. What is v?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 0. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2267922 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 0*p**2 - 2 - 1 - 12*p - 3*p**2 + 2*p**2. Is 8 a factor of b(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/8 - 27*d**2\/8 - 21*d\/4.\nAnswer: -3*d*(d + 2)*(d + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 57*u**2 - 173*u - 4. Calculate f(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/14 and -93\/540482.\nAnswer: 3783374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137114 + 52093.\nAnswer: 189207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 0. Suppose p - 1 = l, -p + 8 = -4*n + 39. Suppose 0 = 3*b - 2*j - 4, -2*j + 3*j = 3*b - n. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5832 divided by -2?\nAnswer: -2916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 26*y**2 + 598*y - 16. Give i(-23).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 113*m**2 + 8*m - 15. Let t be j(-6). Suppose t = 8*n + 24221. Round n to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.005?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v - 39 - 207 + 54. Solve -5*z + 5*u + v = -9*z, -2*z = 5*u + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 31*g**3 + 11*g**2 + 7*g + 36. Let r(k) = -8*k**3 - 3*k**2 - 2*k - 8. Calculate -2*m(b) - 9*r(b).\nAnswer: 10*b**3 + 5*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-18)*(-3 - 4\/(28\/49))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (4 - 2 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**3\/6 - 5*i**2 + 3*i. Let a be v(-14). What is u in -a*u - 4 + 2 + 2*u**2 - 3 - 1 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036683839 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1167, -1269, -1371, -1473, -1575?\nAnswer: -1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -5. Let s = 250.2 - 272. Let f = s + 22. Put -2\/9, c, f in descending order.\nAnswer: f, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 562 + -427. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-110)\/10)\/(1 + -2). Let c = q - 8. Suppose c*g + 0*g = 72. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/3)\/((-180)\/60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:18 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41309 is divided by 486.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 680602297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 1. Let b be a(2). Let j = b + -5. Suppose -2*m + j*w - 5*w = 3799985, -5*m - 4*w - 9499988 = 0. Round m to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/9? (a) 0.5 (b) 3 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2055230 and 151\/5700?\nAnswer: 61656900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -45 + 20 - 20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -306*h - 3272. Give m(-18).\nAnswer: 2236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h = -3*r - 45*h + 9099, 5*h - 12131 = -4*r. What is the remainder when r is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - f = 18, 5*f + 0*f + 2 = 3*r. Suppose -54 = -4*b + 3*a + 6, -8 = -2*b - r*a. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224150 and 4475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16104234 by 6.\nAnswer: 2684039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815021 times 0.86?\nAnswer: -1560918.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6255294.5 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g**2 + 94*g + 103. What is z(7)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -7*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 1988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1900) + sqrt(1900) + sqrt(1900) + 0 + 3 + 3 + (-1 + sqrt(1900) - sqrt(1900)))**2.\nAnswer: -17125 - 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**3 - 160*c**2 - 291*c - 132. What is s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132\/(-8 + -4) - -11818 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7065 by 1413.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 257686 and 748.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -7\/4811, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 97012024 = 2*q, 5*j = 2*q - 5358004 - 91654016. What is q rounded to the nearest 100000?\nAnswer: 48500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 27. Determine d(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-331)\/(-4) - 1*5\/(-20)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*g - g. Let i = 92 - g. Solve -4*m + 4*u = 4, 4*m = 8*m + 5*u + i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1313.6 + 1315.6. Suppose k - 5*b = -7, -b = 4*k + k - 69. Is p equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 16, l: 2}. Give prob of sequence wllw.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 7 = -13182*a + 13188*a, -5 = 5*a + k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 911*k + 5466. Calculate a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/4)\/((-14)\/(-8)). Suppose -f - 2 = 0, o - 2*o - 49 = 3*f. Let j = -39 - o. What is the second smallest value in -2, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*q**3)*(2 - 2 - q) + 0*q**4 + q**4 - 6*q**4 + (-3 + 3 - q**2)*(-10*q**2 + 6*q**2 - 8*q**2).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 - -8 - 34\/(-80)*-14 and -97\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518 = -5*z + 27. What are the prime factors of z?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -491.39 and -27.\nAnswer: 13267.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n - 17523 = 21*n - 489*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/6 + 14699*u\/6 + 557018 = 0. Calculate u.\nAnswer: -14468, -231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2\/10)\/((-44)\/(-110)). Let k = -5 - -3. What is the third biggest value in k, 0, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 8*q**2 + 5*q + 5. What is h(-9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-11)*19\/1026*-12?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/33 and -3\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 247 and 104?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**13\/(v\/((v\/(v\/((v\/v**(2\/3)*v)\/v)))\/v)*v) assuming v is positive.\nAnswer: v**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015184567661 to 6 decimal places.\nAnswer: -0.015185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 89999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1588951 and 3686.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -31?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100*n**2*q**4 - 48*n**2*q + 2*n*q**4 + 2*n*q**2 + 6*n wrt q?\nAnswer: 2400*n**2*q + 48*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283697?\nAnswer: 283697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(800)*1 + sqrt(800) - sqrt(800))**2.\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-12))\/(9\/36)*-2. Let v = 1065.018 + -1066. Let n = v - 0.018. What is the fourth smallest value in -0.04, 3, h, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 230\/40 + -5 + -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 + v**2 - 12*v - 6. Let t(g) = -5*g**3 + 13*g + 7. Let m = -160 - -94. Let y = 69 + m. Let c(s) = y*t(s) + 4*q(s). Give c(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*u = -149208 + 118968 for u.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 91*d = -22*p - 92*d, -2*p + 3*d = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - v + 1, -3*z - v + 11 = 0. Let d be (-2)\/7 - (-37)\/7. What is the first derivative of -d*t**2 + 3 + 0 - 2*t**z + 3*t**2 wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 5 - 4\/((-8)\/26). Factor 26*c**3 + 3*c**4 + 3*c**5 - 26*c**3 - a*c**4.\nAnswer: 3*c**4*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -3. Let j = 773 - 5413\/7. Which is the nearest to 0.1? (a) j (b) 0.09 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7046?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -556.997665 - -557. Round d to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1441433 (base 5) to base 9\nAnswer: 46307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -15*n + 1. Let r(j) = 5730241*j. What is r(f(h))?\nAnswer: -85953615*h + 5730241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*(1\/6)\/(6\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15396640 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -534 - -534.13. Which is the second smallest value? (a) -2 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1099 - 791 = -6*h. Let a(v) = -h + 315 - v. Let j(u) = -12*u. Determine a(j(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20 = 5*p - 4*p, -z + 4*p = -4. Suppose 4 = z*w - 4. Suppose 5*d = 2*o - 21, 4*o - 3*d = w*o + 31. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 332, 459, 582, 701, 816?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 68 - 5 - 2*s - 2*s. Let q be y(13). What is the greatest common divisor of 33 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.4627194 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 1. Let t be n(-1). Suppose 5*f - 3*s - 27 = t, 2*f + 2*s - 4 = -2*f. Find the second derivative of -f*x + 4*x**4 + 5*x - 2*x**4 wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 < 0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from {e: 1, d: 5, t: 6, x: 1, w: 2, g: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*f - 146 = 0, 6 = f + 2*f. Let p be (4\/(-10))\/((-12)\/g). What is the tens digit of p\/5 - 278\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 17*i**2 - 29*i - 17. Determine t(-15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32021539153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5667 * 0.08.\nAnswer: -453.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 28*a**2 - 181*a + 698. Is r(37) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 8. Suppose -o = -t*o + 5. Suppose 0 = -2*d + 4*j + 1042, -o*d + 121 = -5*j - 2484. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x + 150 = 0. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + m**2 + m. Let h(t) be the first derivative of 4\/3*t**3 + 2*t**2 - 2 + 0*t - 5\/4*t**4. Let d be (-1)\/2 - 1\/2. What is d*h(i) + 4*z(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 + 34\/10. Suppose -7 = -5*u + y. Suppose 0 = x - u*x. Solve x = 6*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3\/9 - 2108*h**2\/9 - 34274*h\/9 + 36380\/9 = 0.\nAnswer: -17, 1, 1070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -4\/5, -2 in decreasing order.\nAnswer: 0.2, 0, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5262930, -5262920, -5262898, -5262858, -5262794, -5262700?\nAnswer: -5262570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, j: 2, z: 2}. What is prob of picking 1 z and 2 j?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 - -7) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/817 and 9\/19738634?\nAnswer: 375034046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(-2 - 1 + 2)*(f**5 + 2*f**5 - 5*f**5).\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.0587?\nAnswer: 0.00587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 + 2*u - 53. Give m(0).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 14028*h - 1929*h + 1571*h as q*h + j and give q.\nAnswer: 13670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -85. Let z be (3 - 56)\/(-1) - -3. Let g = z - o. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/78 and 111\/220?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 plus 475?\nAnswer: 472.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + 13. What is the tens digit of 51\/w*3*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2084.7812 plus -26175?\nAnswer: -28259.7812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -2880 - 260. What is the first derivative of p - f**2 - 224 + 5*f**3 + 0*f**3 wrt f?\nAnswer: 15*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -0.1, 3, 1634, 3\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 + 2*a**3 - 3*a**2 + (4 + 4*a - 4)*(2*a**2 - 2*a**2 - 2*a**2) - a**3 + 4*a**3 + 0*a**3 to the form d*a**3 + q*a**2 + k*a + i and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -10. Let l = p - -61. Let f be -42*(4\/3)\/(-4). Calculate the highest common divisor of l and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 8*p**2 + 50*p + 10. Let b be y(-8). Is b < 633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j + 26*j - 1400 = 2*j for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/42 and 107\/76850970?\nAnswer: 76850970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 333 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 80835753 to the power of 1\/2, to the nearest integer?\nAnswer: 8991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331, 324, 309, 280, 231, 156, 49?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4\/9*u + 0 + 2\/3*u**2 + 2\/9*u**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519348 is divided by 129829?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19744666 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/28*12\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8184 + 8184 - 26*f + 3*f + 23*f + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/270*(-15)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31942530863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 + 250. What is the remainder when z is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n**2 + 4*n + 178*n**2 - 18*n**2 - 3*n.\nAnswer: 207*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 + 36 = 0. Suppose 11 = -4*t - j*i, -t - 14 = -0*t + 5*i. Let p = 585.4 - 585. Which is the nearest to t? (a) 2 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157284494 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52257772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - (8 + -21) - (5 - 3)) + 6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-26)*(-16)\/(-20).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*3)\/(3*(-2)\/10). Let y = -61\/7 + 9. Which is the second smallest value? (a) y (b) -1 (c) f (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 2*j - 1. Let l be y(2). Let z = 3 + l. What is the greatest common divisor of z and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 130991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, -1, 0 in decreasing order.\nAnswer: 219, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:07 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -283 + 384 + -1 + -48?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 14 - 508. What is the remainder when f is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 13. Let t be o(-3). Suppose 77 = w + 2*z, w = -3*w + t*z + 260. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 5 (c) 0.8 (d) -15 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 18100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 5*z - 10. Let n be q(5). Let j be (8\/8)\/((-2)\/n). Suppose j*o = 20, 2*l - 1685 = -3*o + 1257. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223 - -1020221131?\nAnswer: 1020222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -32 + 27 - 122?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -629*m - 644*m + 180*m - 1775*m to a + t*m and give t.\nAnswer: -2868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, b: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 + 26*l - 5. Let h be p(-4). Solve 12*s**h + 29*s**4 - 4*s**2 - 61*s**4 + 36*s**4 - 12*s = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(3\/(-2)*(-24)\/(-13 + -59))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 21*x**2 - 28*x - 3. Let m(q) = 85*q**2 - 112*q - 11. Let l(h) = 22*d(h) - 6*m(h). What is the second derivative of l(w) wrt w?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4015518 is divided by 1887.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 10*f + f + 29*g - 25*g = -76, -52 = 4*f - 2*f + 19*g for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/9)*a**(-2))\/(a*a**(-3\/4)*a**(-1\/14)) assuming a is positive.\nAnswer: a**(-689\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 586206 - 238109. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + -2 + 187\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5 + 7. Suppose 4*q - 3*q + 3*i = 12, -5*i - 22 = -a*q. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 28. Determine u(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 - 16*c**2 - 41*c + 154 = 0.\nAnswer: -11, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4532 (base 6) to base 10.\nAnswer: -1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 19*u + 5. Let d be n(-16). Let k = d - -92. What is the remainder when 142 is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w + 4*s = 91, 0 = -2*s - 2. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 475 * -0.14.\nAnswer: -66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218*t - 12661 = 1023*t - 1315*t - 86651 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqiqbgeqbe. What is prob of sequence bbie?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*(-5)\/(-2))\/((-441)\/(-126)). Which is the nearest to -1? (a) h (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - j**2 - 4*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -70. Let j = u + 70.7. Which is the second biggest value? (a) j (b) -6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - -2.17877029505.\nAnswer: 22.17877029505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13798559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 737, 732, 715, 680, 621, 532, 407?\n\"Answer: -s**3 + 2*s + 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26\/3 + -25\/3. Let u = 0.35 - 0.3. Let k = -3.05 + u. Which is the biggest value? (a) 0.2 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(3*v**4 - 6*v**4 + v**4)*(1 - 3 + 5).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.55, -4, -1 in descending order.\nAnswer: 0.55, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -432*n - 129*n + 85*n + 10318728. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppeccceeuhppe. Give prob of sequence cpeh.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 362 + -1818\/5. Which is the biggest value? (a) o (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 571*(-2 + -1)*(-18)\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:02 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.53 + -0.4. Let w = 0.43 - b. What is the third smallest value in -3, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111 + 11110110000011110001011?\nAnswer: 11110110000011101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**2. Let o(r) be the first derivative of r**2 + 5. Determine a(o(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 8 = 0. Suppose -2*m = -5*j + 16, -2*m - 12 = -n*j - 0*j. Suppose -5*x + 12 - 17 = 0. What is the biggest value in 0.2, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495710.2ml to litres.\nAnswer: 495.7102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 + 0*z**5 - 2*z**5 + 25*z**5 + 12*z**5 + 7*z**5 + (-2*z**3 + 2*z**3 - z**5)*(4 - 3 + 0).\nAnswer: 44*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*p + 878*p - 112*p - 145*p.\nAnswer: 53*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323466\/77 - 2\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 61*g - 324 = 0. What is the lowest common multiple of g and 87?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + q**2 - 5*q - 1. Suppose 2*m + 0*m = -5*p + 23, -p = -3. Let o be s(m). Round o to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**7\/210 - r**6\/24 + r**5\/60 + 5*r**4\/24 + 2*r**2 - 12. Let a(w) be the second derivative of i(w). Let a(b) = 0. What is b?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*v**4*z - 3*v**4 + 286*v**2*z + 20533*v*z wrt v.\nAnswer: -84*v**2*z - 36*v**2 + 572*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004046 rounded to 4 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19417*s**2 - 10358.\nAnswer: 38834*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 - 11*u - 7. Calculate o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0.1, 0, -1 in descending order.\nAnswer: 0.1, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17363 + -17360. Let d = -5 - -10. Suppose 0 = 4*j - 6*j. Solve j = -d*u + 7 + k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35007, 65706, 96405, 127104, 157803, 188502?\n\"Answer: 30699*g + 4308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-33))\/d)\/d)\/(d*d**(-3\/4)))\/((d\/(d*d**(-1\/47)))\/(d\/d**13)) assuming d is positive.\nAnswer: d**(-8699\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3494, 14042, 31642, 56288, 87974, 126694, 172442?\nAnswer: 225212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 98\/35)*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*x**4 - 100*x**3 + 5*x + 5010 with respect to x.\nAnswer: -16*x**3 - 300*x**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let o be j(5). Suppose 6 = o*f - 4. Let d(p) = 4*p**f - p**2 + 0*p**2 - 4*p**2. Let t(b) = -6*b. Calculate t(d(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 155*i**3 - 475*i**2 + 800*i + 1175. Let h(r) = -11*r**3 + 34*r**2 - 57*r - 84. Let u be (30\/6)\/(-1*(-4)\/68). Let d(x) = u*h(x) + 6*s(x). Factor d(k).\nAnswer: -5*(k - 6)*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o, -4*v + 0*v = -4*o - 270332340. Suppose 60416919 = -5*y - v. Round y to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**6\/40 - 1509*i**5\/40 - 21042*i**4 - 4656960*i**3 + 28449792*i**2 + 9019*i. Solve q(y) = 0 for y.\nAnswer: -336, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 583 + -351. Let d = o + -36889\/159. Let s = -15\/22 - -2\/11. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19785 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 27*s**2 - 6*s - 102. Let v(a) = 31*a**2 - 5*a - 1. Let c be v(1). Does 18 divide b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 greater than or equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 8 - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 1805940?\nAnswer: 1805940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - c + 102 = 5*c - 3*c, -2*c + 56 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36400*k**3 - 41026*k + 41026*k.\nAnswer: -36400*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 - 43*q**2 + 11*q + 58. Let h be c(14). Solve 38*d = 34*d - h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4463 is divided by 177.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44343 (base 5) to base 8.\nAnswer: 6032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 29*o**2 - 2*o - 1. Let f be l(-1). What is the common denominator of ((-1)\/(2\/(-206)))\/f and -49\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2771966 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 43. Let d(z) = -599*z**2 - 3*z + 2. Give d(m(g)).\nAnswer: -599*g**2 - 51517*g - 1107678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b + 12. Let y be 2 - (-4 + 3 + 3). Suppose -t + 0*t + 5 = y. Solve -6 = -2*j + 4*m, 11 = t*j - b*m + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098410 divided by -1?\nAnswer: -3098410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 104 = 3*p - z, -4*p + 3*z + 134 = 0. What is the remainder when p is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1 (b) 0.08 (c) -14 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 892*t - 1438. Calculate the remainder when k(5) is divided by 334.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15738.46051 to the nearest integer.\nAnswer: -15738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 8:41 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*(-2 - -5). Suppose 6*r = u*r. Solve 27 - 6 = -3*s + 3*a, -2*s - 5*a = r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 11. Let h = -0.5 + 0.3. Let d = -0.4 - 0.1. Which is the closest to h? (a) d (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 - 42 = -2*o, -o + 5 = i. What is the highest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:31 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-45)*110)\/((-10)\/45*3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + n - 6*n = 18*r, r - 2*n + 19 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2193*s + 3. Let f(g) = -465*g**2. Determine c(f(j)).\nAnswer: 1019745*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54884, 54886, 54888?\nAnswer: 54890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-105.\nAnswer: 15.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151811 - -249804. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/(-56))\/(3 + (-60)\/21). Suppose 0*s + c = -s - 4*v, 0 = -2*s - 4*v. Solve u + s = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -11 - -4) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3529 - 10927*l + 3529.\nAnswer: -10927*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) + (-1424)\/(-576) + -2. Let t(f) be the second derivative of -1\/2*f**3 - z*f**4 + 0 + 0*f**2 - 4*f. Let t(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y = -58 + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/42 - 4\/(-18)*6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*v - 66*v - v**3 + 163*v + 20 as q + u*v**2 + a*v + k*v**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5952\/(-90) + (-26)\/30 + 1. Let x = 54 - r. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 144 * -2255\nAnswer: -324720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 103 + (-5 - (0 - 5)). Suppose -4 = 2*m, 0*k - 3*k + 3*m = 132. Let c = g + k. What is the remainder when c is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*g - 19633 = 260 + 4893 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*r, 2*r + 1 = -4*a + 3. Suppose -4 = -2*m - a. Let f be -1*0\/((-1)\/m). Let p(x) = x**3. Give p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/3))\/l*l)\/l)**(-2\/135)*(l\/(l\/l**(-3\/4)*l))\/(l\/(l*l*l**(-2))) assuming l is positive.\nAnswer: l**(-4471\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 7*v**2 - 8*v - 7. Let g be r(-6). Let x(j) = 4*j**2 + 5*j + 1. What are the prime factors of x(g)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/83))\/i**(1\/36))\/((i*i**(-2)*i)\/i*i)**(-40) assuming i is positive.\nAnswer: i**(2833\/2988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.72 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64.41 - -64. Let y = j - 3.59. Let f = 7 + -4. Which is the closest to 1? (a) f (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 5*s - 5505, -2*l = -s - 2207. List the prime factors of l.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78471044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 87? (a) 6 (b) -5.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 2*s = 135 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.316?\nAnswer: -0.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11647938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3298 is divided by 52.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.238*17681\nAnswer: -4208.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*g = -80*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 26*t**2 + 40*t - 1155. What are the prime factors of f(18)?\nAnswer: 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*b**2 - 27138*a**2 - 1599*a*b**2 wrt b?\nAnswer: -4*a**2*b - 3198*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*c + 145*c - 123*c + 2070 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 6*t**2 - 2*t + 5. Let b(y) = 7*y + 12. Let v be b(4). Suppose -10*i + 5*i + v = 0. What are the prime factors of u(i)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 8 = 74. Let k be -62 - (1*-5 - (7 - g)). Let i = k + 72. Calculate the highest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -5*b**4\/12 + 10*b**2 - 22*b. Factor k(i).\nAnswer: -5*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*c = 3*h - 286*c + 7, -5 = -3*h - 4*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 + 29*s - 243. Calculate m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 1 - (13 - 18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618975?\nAnswer: 3, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*p + 4 = 0, -v + p = -2*v. Let d be 2\/v*(0 - 0). Suppose d*u - 2*u = -8. Solve h - u = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*p + 39 + 3115*p**4 + 3177*p**3 - 6352*p**3 + 3175*p**3 - 124*p**4 wrt p?\nAnswer: 35892*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnqqnnnn. Give prob of picking 1 q and 2 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 155 + -95b0?\nAnswer: -945b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -212a0 (base 11) in base 8?\nAnswer: -74365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 110.6 and 0.8.\nAnswer: 111.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43969423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142201 >= 142202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5926, -5 in increasing order.\nAnswer: -5, -4, 5926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -770 (base 11) to base 3.\nAnswer: -1021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166460 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1238853?\nAnswer: -1\/1238853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -12 + 25 + -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/158 - 303\/2054. Let v = -1.01 - -0.01. Let g = v + 6. Which is the second smallest value? (a) r (b) -3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44308603?\nAnswer: 23, 1926461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 623 (b) 2\/5 (c) 0.6 (d) -2\/5 (e) 2\/239 (f) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 509682 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.02 (b) -0.026 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**2 + 6637*v + 6840. Let r(c) = 10*c**2 + 6635*c + 6890. Let w(y) = -5*n(y) + 4*r(y). Factor w(b).\nAnswer: -5*(b + 1)*(b + 1328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 317967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*t + 843 - 2603 + 911 = -2373 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 9052\nAnswer: -18104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26699 = 8*p - 1229. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/13))**2 assuming i is positive.\nAnswer: i**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -186885?\nAnswer: -5606.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50686, 202700, 456056, 810754?\nAnswer: 1266794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133671*j = -66961*j - 66834*j + 3968 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 1. Suppose -21*p + 90 + 36 = 0. Suppose 274 - 226 = p*b. Let v(y) = 3*y + 2. Give b*n(h) + 5*v(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + s)*(62 + 43 + 21) - 4 + 4 - s in the form t + h*s and give h.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2\/(-10))\/((-35188)\/9260)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 17*t + 45. What is y(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y - 16. Let w(l) = -5*l + 4 + 3*l + 5 - 5 - 1. Give 4*f(q) + 22*w(q).\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 5. Suppose 0 = 3*w - l*w. Let a(k) = -k**3 + 5*k**2 + 7*k - 6. Let r be a(6). Solve -4*s - 5*h = -31, r = 2*s - w*h - 5*h + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 24. Let m be 6\/(-10)*(-4)\/(-6). Which is the closest to n? (a) 3\/5 (b) -6\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3 = -3*v - i, 0 = -3*v - 5*i - 9. Let f(a) be the first derivative of -1\/3*a**3 + a**v + 0*a + 2. Find the second derivative of f(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*b - 3 - 4 + 19 + 12 in the form r + y*b and give y.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*a - 120*a = -12. Differentiate 26*c**a + 17 - 9 - 44 with respect to c.\nAnswer: 104*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o + 0*o - 10*o)*(-1 - 2 + 5)*(o**4 - 4*o**2 + 4*o**2).\nAnswer: -36*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362127.\nAnswer: 193, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853462 is divided by 382?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -154?\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**6\/720 + 2*m**5\/45 + 11*m**4\/144 + 40*m**3 - m. Let p(b) be the second derivative of l(b). Factor p(a).\nAnswer: -(a - 11)*(3*a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*s**2 - 247*s**2 - 37*s**2 - 98*s**2 in the form c*s**2 + r*s + k and give c.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 + 113. What is the remainder when 55 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*y + 2*a, 47155 = y + 3*a + 2*a + 47173 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/9, -2, -13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -17, -54, -117, -212, -345, -522, -749?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 - 2*x - 23. Let o be t(-2). Put o, 933, 4, 0 in descending order.\nAnswer: 933, 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36060354.02 to the nearest ten thousand.\nAnswer: -36060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28404.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 5 (b) -3 (c) 0.4 (d) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 15 = 5. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114766140 - 32?\nAnswer: -114766172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24044323 (base 5) to base 8.\nAnswer: 661216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7558042381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 14 = 5*c - 4*c, -2*c + t + 13 = 0. Suppose 0*r - 2*r + 121 = 3*q, c*r + q - 309 = 0. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 28 = -5*m + 80, 0 = 3*l + 3. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 2:10 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 19. Let f be t(5). Suppose f*y - 153 = -5*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-2))\/(4\/((-96)\/30)). Let 0*x**z + 4\/5*x**3 + 1\/5*x**4 + 0 + 0*x = 0. Calculate x.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1086.946 + 1087. Which is the second biggest value? (a) 1.18 (b) -1\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 5. Let x be a(0). What are the prime factors of -2*(225\/(-2))\/x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -95*q - 111*q + 172*q - 1. Let g(t) = t**2. Calculate g(d(p)).\nAnswer: 1156*p**2 + 68*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -355057 smaller than -355058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007877?\nAnswer: 3, 13, 43, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22313 (base 6) to base 2\nAnswer: -110001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1065 - 493*y**2 + 1075 + 491*y**2 + 7*y. What is k(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/571561?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/3 - -7. Let b = 810 - 808. Factor -4*p**b - s*p - 16\/3.\nAnswer: -4*(p + 2)*(3*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 5*i**2 + 3. Let k be c(5). Let d = k - -19. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 131.9? (a) 3\/76 (b) 0.1 (c) 0.4 (d) -2\/7 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 761 + -3827\/5. Let p = -18\/5 - o. Let v = 1104\/19 + -58. Which is the biggest value? (a) p (b) -2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s**2 - 37*s + 38. Let z(d) = -3*d**2 + 12*d - 12. Let n(f) = -2*o(f) - 7*z(f). Let i be n(14). What is the greatest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 15\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 2749*z**5\/30 - 10031*z**4\/24 + 91*z**2 - 2*z - 7. What is the second derivative of f(u) wrt u?\nAnswer: 10996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8746259, 17492510, 26238761, 34985012, 43731263?\n\"Answer: 8746251*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 12, o: 1}. Give prob of picking 2 d.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, -38.852, -0.2 in descending order.\nAnswer: 122, -0.2, -38.852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-2) + 2)*-3. What is the tens digit of (-15)\/(h\/8*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 5 - k)*(-28 - 239 - 81).\nAnswer: 348*k + 1740","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, 4, -2\/289, 3?\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271\/2 - 143. What is the common denominator of a and 21\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 58*z + 1. Let f(d) = d**2 + 49*d. Give 3*f(k) - 2*w(k).\nAnswer: 5*k**2 + 31*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000101 - 11?\nAnswer: 1100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/2)*g**2*g\/g**0*g**(-3)*(g**(1\/2))**(-1\/4)\/(((g*g\/(g*g**(1\/4)))\/g)\/(g\/g**(-2\/3))) assuming g is positive.\nAnswer: g**(79\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154382.\nAnswer: 2, 77191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4\/3, 0, 2.3 in descending order.\nAnswer: 2.3, 0.5, 0, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 3 in descending order.\nAnswer: 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 865718.4 - 865718. Let t = -3 + 2.9. Let h = 2.06 - 0.06. Which is the smallest value? (a) -1 (b) k (c) t (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1486096197, 1486096199, 1486096201, 1486096203, 1486096205?\n\"Answer: 2*o + 1486096195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 10 (c) -1\/9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70451 is divided by 11741.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 3*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(8\/9))**(-23) assuming z is positive.\nAnswer: z**(368\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/7)\/y)\/(y*y\/(y*y**2)))\/(y\/(y*y\/y**(1\/4)))**30)\/(y**(-6\/11)*y*(y**(1\/4)*y)\/y)**(-25\/6) assuming y is positive.\nAnswer: y**(46477\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 393\/332122?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -7535772?\nAnswer: 113036580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 270*z + 548. Let q be s(-2). Let b(y) = 4*y - 43. What is b(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(((-2)\/28)\/1)\/(6\/24)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 1 + 1)*(21*d**3 + 14*d**3 - 31*d**3)*(4*d - 2 + 2) + 6*d**5 + 2*d**5 + d**5.\nAnswer: -87*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(133) - 2*sqrt(133) - sqrt(133))*-5)\/(sqrt(7) + (2*sqrt(7) + sqrt(7))*-5 + sqrt(7) + sqrt(175) + sqrt(175)*1 + sqrt(175)))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1302 by 2.\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 68 + 52 = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 2*v**2 - 3*v - 2. Let f be u(-3). Let i be (-2)\/(-1)*f\/(-4). Let a(w) = 143*w**3 + w**2 - 2*w + 1. Is a(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k - 32 + 38 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (7 - (-11 + 10 - -11))) + 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3\/4 + 125*h**2\/2 - 935*h\/4 + 345\/2 = 0. Calculate h.\nAnswer: 1, 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3))**(-17))**43 assuming n is positive.\nAnswer: n**(1462\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/44)\/((-1)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let k(v) = -6*v**2 + 28*v. Give k(b(g)).\nAnswer: -24*g**2 + 56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1261623, -1261624, -1261625, -1261626, -1261627, -1261628?\n\"Answer: -l - 1261622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + (-3)\/(-6). Let k(f) = -16*f + 2. Let o be k(s). Find the common denominator of 13\/3 and -4 + (-134)\/o + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) 1\/2 (c) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -243?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.342 - -5.658. Which is the second biggest value? (a) z (b) -0.3 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.103 or 0.10407?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.03 (b) -247 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 652.08*5\nAnswer: 3260.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i = -65*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 9, e: 2, j: 1, h: 1}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -1010021?\nAnswer: 1010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12591 - 8591. What is l rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -22*a**2 + 5. Let z(y) = -11*y**2 + 3. What is -3*h(o) + 5*z(o)?\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 650 - 320. List the prime factors of a.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/91198590 and 34\/5859.\nAnswer: 820787310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197913 is divided by 3194.\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -23*i - 310. What is y(-15)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hthmmmtt. What is prob of sequence thtm?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + sqrt(162) + sqrt(2) - sqrt(2)) + 0 + (sqrt(90)\/sqrt(80))\/(sqrt(900)*2 + sqrt(900) - sqrt(900)) + -2)**2.\nAnswer: -721*sqrt(2)\/8 + 599841\/3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -558 - -622 - (3 - 8)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25893, -25882, -25871?\nAnswer: -25860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**3 - 4*p**3 + p**3)*(-1435*p - 202*p - 1333*p - 3 + 4089*p) as z + f*p**2 + i*p + h*p**4 + y*p**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 802 = -5*u, -3*s + s - 466 = 3*u. Let p be (u\/(-693))\/(15\/18). Let r = 2\/165 + p. What is the nearest to 2\/5 in r, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18622 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 0.07, -0.17, 0.2, 13, -1\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/455 - 44063\/3640. Find the common denominator of s and -149\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v**2 - 7*v - 7. Determine p(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 34681?\nAnswer: -173405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12498 and 385355?\nAnswer: 2312130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1250*t + 2428*t - 1495*t. Let h(z) = -z - 58. What is h(k(m))?\nAnswer: 317*m - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6571, -13141, -19711, -26281, -32851?\n\"Answer: -6570*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*h + 5*v + 35 = -126*h, -5*h - 2*v - 31 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4961992 and -0.5.\nAnswer: 4961991.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 3*m - 71. Let o be x(22). Let a = -13 - -110. Suppose o + a = 5*c + 3*t, -4 = 2*t. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 11. Let n be (1 + 1)*21\/14. Let l be b(n). Let j(x) = 6*x + 6 - 16*x + x**l + 7 - 9. Calculate j(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/72 of a day in minutes?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1280 + 230401\/180. Let w(q) be the third derivative of v*q**5 + 0 + 0*q + 1\/72*q**4 + 0*q**3 + 2*q**2. Find a such that w(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**3 + 27*f**2 + 153*f + 9. Let p(w) = -w**3 - w**2 - w + 1. Let a(t) = 18*p(t) - 2*q(t). Factor a(j).\nAnswer: -4*j*(j + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.418005 weeks in nanoseconds?\nAnswer: 857609424000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Suppose -6 = -s*g + 29. Suppose 44 = g*i - 3*i. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2028, 4, -14, -2, -4 in descending order.\nAnswer: 4, 3, 2, -2, -4, -14, -2028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1102460*o + 21255.\nAnswer: -1102460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11777 + 11777. Let p(l) be the second derivative of f + 3\/2*l**2 + 2\/5*l**6 + 2*l + 0*l**5 + 0*l**3 + 0*l**4. What is the derivative of p(u) wrt u?\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4 + 1. Let r(n) = n**2 + n + 4. What is the remainder when 28 is divided by r(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 4. Let v(y) = y**2 + 7*y + 2. What is the lowest common multiple of v(t) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13033 (base 8) in base 9?\nAnswer: 7677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.653815572 rounded to four decimal places?\nAnswer: 5.6538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359425611.\nAnswer: 3, 17, 1471, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4, 0, -2\/287, -0.009 in decreasing order.\nAnswer: 4, 0, -2\/287, -0.009, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42436522 to the power of 1\/2, to the nearest integer?\nAnswer: 6514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 3 - 3) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 5. Let k(h) = h**2 + 6. Determine -4*k(c) + 5*t(c).\nAnswer: 6*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666 and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.128 < -450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1235910 - -1235910.1099998. Let p = 0.2 - 0.09. Let i = v - p. What is i rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 18 + -11 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 38170093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28737783.\nAnswer: 3, 3193087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33246 divided by -6\nAnswer: 5541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 2*t**2 + 40*t - 7. Calculate k(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iml when three letters picked without replacement from {n: 2, o: 1, m: 2, l: 1, i: 1, q: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 4*t**2 + 0*t**2 + 6*t - 3*t to the form p*t + r*t**2 + d and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**3 + 0*i**3 + 3*i**3)*(-199 + 223 - 246) + 5 + 2*i**3 - 5.\nAnswer: 890*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -14. Suppose 0 = 3*i + m. Put 4, -5, i in ascending order.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 134. Let k be ((-11180)\/a)\/((-2)\/18). Let g = k + -663. Calculate the common denominator of 11\/12 and g.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/j**6)\/(((j**(-4\/5)*j)\/j*j*j)\/j**(5\/4)))**(-26) assuming j is positive.\nAnswer: j**(1807\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 10*u - 9. Let r be o(9). Factor r*n - 1\/4*n**2 + 0.\nAnswer: -n**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*g - 142*g + 1 - 1.\nAnswer: 53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(540)\/sqrt(9) - sqrt(60) - sqrt(60) - sqrt(60))\/sqrt(12))**2.\nAnswer: -16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15286060 + 2*m - 214*m**4 + 41*m**4 - 2*m**2 + 15286054 - 80*m**4 as a + f*m**3 + z*m**2 + g*m**4 + j*m and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 223 - 71. Let n = a - 19. Let o be n\/(-171) + (-160)\/(-9). Solve 2*g = 5*y - o, -5*g + y - 30 = -4*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-828)\/368)\/(2\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307*p**5 - 118612*p**3 - 187036534*p?\nAnswer: 6140*p**3 - 711672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2 + 0 + 20*n**2 - 6*n**2 + n + n**3 - 6*n. What is the tens digit of t(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 15 = -3*c - 116, -5*c - 103 = -2*u. What is the greatest common factor of u and 1421?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -39)*(-10)\/(-4). Let g(h) = 31 - 5*h**2 + 3*h**2 + d - h + 5. Is 23 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - v = -34 + 10, -c = -2*v - 9. Let l be (-1 - c)*(-5)\/20. Suppose -116 = -l*u + 44. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576635921 to the nearest integer?\nAnswer: 24013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -3. Let o be (-1)\/3 - (-26)\/t. Solve o*j + 2 = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a - 8. Suppose 14*g - 136 = 88. What is the smallest common multiple of g and c(-5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12454 (b) -5\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Let p = a - -4. Suppose -2*n = -p*n + 440. Calculate the greatest common factor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.231576 and 585.\nAnswer: 585.231576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88100.1 decades to years.\nAnswer: 881001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-6 - 2 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31147, -31148, -31149, -31150, -31151, -31152?\nAnswer: -31153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 67 + 86 = -4*n, -3*c + 4*n + 3*n - 2*n + 170 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 25 - 2 - -12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34266 - 24229. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3650 in 17, 0, -3\/149?\nAnswer: -3\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 448454237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -158, -268, -386?\n\"Answer: -4*o**2 - 90*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b - b**4 + (b**2 - b + b)*(0*b**2 + 3*b**2 - 4*b**2) + (-520*b + 30*b**2 + 520*b)*(0*b - 3*b + b)*(2*b - 5 + 5).\nAnswer: -122*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 43*l**2 - 40*l + 85. Determine s(-44).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = -27806 + 186276. List the prime factors of f.\nAnswer: 2, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -60. Suppose -20 = -y*z + 132. Let s(j) = -j**3 + 7*j**2 + 6*j + 9. What is s(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 132*s + 629. Let y be k(-5). Sort 4, y, 1\/2 in ascending order.\nAnswer: y, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 1187\/12. Let c = 6 + -2. Let n = c - 5. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 718451 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 49.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 7\/3 (b) 2 (c) 4 (d) -106\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -13. Let z be (15\/(-25))\/(3\/m). Which is the nearest to -1? (a) 0.2 (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:09 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 + 8 - 14) + 6 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4024303044 (base 5) to base 16\nAnswer: -7ab240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 8, p: 2, g: 5, a: 1}. Give prob of sequence hag.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 4 (c) 1 (d) 4\/7 (e) -1\/216 (f) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2289)\/3270)\/(4\/480)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13687.\nAnswer: 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 5156460836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4 + 6. Let f = 21 - 16. Which is the closest to 3? (a) f (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {x: 3, p: 1, b: 1, m: 1, c: 6}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/14*(13 + 5*(-639)\/270).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328525*c**3 + 164026*c**3 + 164496*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493918 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**3))\/n**23 assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 3*r - 90. Let d be (-4 + r\/(-4))*0. Let w(f) = d*f - 5*f + 3*f. Let h(t) = -26*t**2. Give w(h(a)).\nAnswer: 52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 - 40*b**3 + 258*b**2 - 620*b + 400 = 0. Calculate b.\nAnswer: 1, 4, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = -0*r - g, 0 = -3*g - 15. Let a be 4 + (1 - (r + 1)). Let u = a - 2. Do 2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2\/11, 5, 3\/5, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -3, 8, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-80206)\/12)\/(-7) - (-3)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86400000 = 4*x + 4*d, 9905667 = -3*x + 3*d + 74705667. Round x to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 - z**3 - 7*z**3 + (-16*z - 5*z - 6*z)*(88*z**2 - 37*z**2 - 36*z**2) as b*z + n*z**3 + w + c*z**2 and give n.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9*k**(2\/3)\/k)**(25\/2) assuming k is positive.\nAnswer: k**(325\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4725 and 14060655.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.64 (b) 15 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 636*d*s**3 - 3*d*s**2 - 8998*d*s - 41*s**3 wrt s.\nAnswer: 3816*d - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 5. Suppose 484 = t*k + 4*g, 5*g + 324 = 5*k - 196. Suppose 0 = 3*s - 7*z + 2*z - 60, 5*s - k = -2*z. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172962\/55 or 3145?\nAnswer: 3145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**3 + 23*z**2 - 50550*z + 12200349 with respect to z.\nAnswer: 3*z**2 + 46*z - 50550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -2. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1242 and 5670.\nAnswer: 130410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166798110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/11 + 5796*q**2\/11 - 11584*q\/11 = 0 for q.\nAnswer: 0, 2, 2896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) -3\/4 (c) 0.47 (d) -2\/7977\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*i = -3*i + 7, 16 = 4*g + i. Suppose g*z + z = 2*x - 26, -3*x + 67 = z. Suppose -p + 74 = x. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.785 + -19.775. Let f = 21.039 + -0.039. Let g = f - 15. Which is the closest to g? (a) 0 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddddddddddddj. What is prob of sequence jd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1302270 and 410352.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + 19. Suppose 47 = 4*b - 3*m + 17, -3*b + 14 = 2*m. Give q(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110100010011 (base 2) to base 11.\nAnswer: 10824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 197452*j**2 - 2 + 197468*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -6*c - 27. Let q(v) = -15*v**2 - 4*v - 12. Let r(y) = y**2 - y + 1. Let j(b) = -q(b) - 3*r(b). What is the units digit of j(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*g + 95*g = -3*h + 20, 2*g = 80*h - 82*h + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:11 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*b**2*k*n + 11*b**2*k + b*n + 28*b + k*n + 2*n wrt b.\nAnswer: -22*k*n + 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**2 - 10*a + 16. Let w(o) = -102*o**2. Calculate z(w(u)).\nAnswer: -62424*u**4 + 1020*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {k: 4, f: 3, i: 2, a: 4, e: 1, n: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*y - 864 + 132, -4*t + 3*y = -764. Suppose -3*z - 161 = -s - s, -4*s - t = 4*z. Let j = z + 86. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -17. Suppose -54 = -r*q - 6. Let m(v) = 4*v + 4. Let p be m(-1). Solve p = 4*l + q - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -12*q - 9824. Suppose -2*p = -5*d - 4*p + q, 0 = p - 1. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p + 1. Give n(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 6*l - 6. Let w be b(4). Suppose -s = w*s - 48. Let m = 13 + s. Calculate the remainder when m is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37324, 74651, 111978, 149305?\n\"Answer: 37327*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313 + -313.0262. Round r to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300213.4 * -3\nAnswer: 900640.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 6) to base 5.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404, -1588, -3562, -6326, -9880?\nAnswer: -14224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1273, -2228, -3131, -3958, -4685, -5288?\n\"Answer: 4*a**3 + 2*a**2 - 989*a - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) 1 (b) -0.2 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 276*f**2 - 6420*f - 33600.\nAnswer: 3*(f - 112)*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 6654*j - 1 - 6655*j as w + u*j and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 617202*m**3 + 460968 wrt m?\nAnswer: 1851606*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -14*m. Let j(s) = -s - 11. Calculate j(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(4\/9)*(b**(-3)\/b)\/((b**(-9)\/b)\/b) assuming b is positive.\nAnswer: b**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.9819 to zero dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 39 = 21*d + 18*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v**2 + v - 2. Let i(p) = 81*p**2 - 989*p - 8. Let o(k) = 5*c(k) - i(k). Let y(b) = -2*b. Give o(y(m)).\nAnswer: -4*m**2 - 1988*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxkjhjx. Give prob of picking 1 x and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/378 and 155\/5292.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 0*b)*(1 - 1 + 2*b) - 3*b - 8*b**2 + 5*b - 4*b + 3 - 6*b**2 - 3.\nAnswer: -16*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/96*-4*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 133.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 11*c + 4. Let d be y(-11). Suppose -7 = -v - d. What is the second derivative of v*m**2 + 3*m**2 + 2*m - m**2 wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19004 divided by 2368.\nAnswer: -4751\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 349 + -346. Let m(p) = 3*p**2 - 11*p + 2. Let r be m(o). What is the closest to r in 2, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.6, -3\/8, -0.5, 1265, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 - 5*w - w**3 - 8*w**2 + 6*w**2 - w to f*w**3 + b + v*w**2 + d*w and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17542414 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 (-2)\/1 - 0 - 68\/(-120) and 1\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 7*m + 35 = 0. Suppose 2*s + 78 = 4*z, -m*z + 8*z - 128 = 4*s. Calculate the common denominator of -15\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 9*l**2 - 9*l + 6. Let f(u) = u**3 - 11*u**2 + 10*u - 7. Let x(b) = 6*f(b) + 7*g(b). Give x(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 + 193.941?\nAnswer: 193.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 161*v**2 + 1\/180*v**6 + 2\/9*v**3 - 1\/18*v**4 - 1\/60*v**5 + 1\/630*v**7 + 0*v + 0. Suppose g(y) = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.2. Suppose 0 = 3*t - 3*d - 3, 7*t - d - 5 = 2*t. What is the nearest to t in j, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 - 462332*p**2 - 924665*p.\nAnswer: p*(p - 1849330)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, 4, 78, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 5. Let x be g(-5). Let d = 50 - 45. Solve 4*p = x*s - 19, 0 = d*p + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + 5*g**4 + 0*g**4)*(-3*g + g + 3*g) - 11*g**2 - 14*g**5 + 16*g**2 - 6*g**2.\nAnswer: -12*g**5 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979 plus 5.301?\nAnswer: 2984.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2405 and 312?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/75 (b) -1\/5 (c) 5\/3 (d) -1.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f\/((f*f\/(f\/(f*f**(-2)*f*f)))\/f)))\/f)*f)\/f*f*f\/f**(-5)*f)**(-42) assuming f is positive.\nAnswer: f**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 8*u**2 + 9*u. Let n be b(-9). Suppose 4*y + 26 = -2*r, 2*y - 3 + 1 = 0. Let o be 9\/(-21) + r\/(-35). Solve n = -3*g - o - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x*x*x\/x**(-9\/8)*x))*x*x)\/(x*x*x\/(x*(x**(2\/5)\/x)\/x)))\/(x\/x**(-3\/4))**29 assuming x is positive.\nAnswer: x**(-1809\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30345, 0.367, 0.5, -0.1 in ascending order.\nAnswer: -30345, -0.1, 0.367, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:11 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.54 - 1.94. Let s = 0.1288 + -0.0488. Which is the closest to 0.1? (a) s (b) 8 (c) -3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9 - -1582852718.74.\nAnswer: 1582852714.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a + 5?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2021 + -2008. Solve -2*w - 12 = -i*q + 9*q, -2*q + 6 = -2*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1650*b + 1636*b + 14 - b**2 - 12 to the form l*b**2 + p + j*b and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100001 (base 2) in base 3?\nAnswer: 101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 61\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -962*n - 3842. Determine u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066896 to 4 decimal places.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -452 + 42.2. Let h = y - -450. Let j = h + -40. Are -3\/16 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 - 30*d + 4. Is c(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1) + -3 - -2. Suppose 0 = -t*k - 3*a - 5 - 77, -4*k - 5*a - 160 = 0. Let p = k + -99. Round p to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -822*h**2 + 2*h**3 + 822*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n - 43*n = -p + 6, 4*p = -2*n + 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Let h = 12 - c. Let u(i) = i**2 - 5*i - 6. Let w be u(6). Solve 4*j + h = -w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 50, 75, 104, 137, 174, 215?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 8*n - 19 + 7 = 0, 5*y + 3*n - 20 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 205*o**2 + 9*o - 25. Let l be c(6). Calculate the greatest common divisor of l and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13490707 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 100. Is (-212)\/(-4)*(-66)\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**8\/252 + 2*h**7\/315 + h**6\/90 - h**5\/45 + 43*h**2. Suppose c(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325\/180*((-396)\/143)\/(-12).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**3\/3 - c**2\/2 + 2*c + 2. Let y be k(0). Suppose -5*w = -i + 324, -y*i + 5*w = 2*w - 613. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9511 = s - 4*l - 16696, s - 26221 = -3*l. Suppose 0 = 31*r - 1995 - s. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 386, 1281, 3024, 5897, 10182, 16161, 24116?\nAnswer: 34329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -963*g - 118145 = -3572*g + 64485 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 - (-8)\/12*6. Let r(c) = -3 + x*c**3 - 3*c**3 - 13*c**3 + 3*c**2 + 8*c + 5*c**2. What is r(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 25 = -5*d + 12, 18 = r + 3*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1465, 2\/239, 5?\nAnswer: -1465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/15 - (-19)\/20. Let t = g - 1\/4. Which is the biggest value? (a) t (b) 5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 0 - 5384\/(-4)*1 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -52 times 24324\nAnswer: -1264848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1591?\nAnswer: 4773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 44. Suppose -2*g - 10 = 0, -5*v - 44 = g - 14. Let z = v - b. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 + 63*o**2 - 38*o + 317. Determine m(7).\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r + 6*r + 15857 + 18680 - 31677 = 0 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*i*q**2 + 2*a**2 + 8*a*q**2 - 100*i*q**2 - 2*q**2 wrt i.\nAnswer: 2*a**2*q**2 - 100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -44. Let t = 30 + j. What is the greatest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10176 = 9*n. Let f = -486 - n. What is f rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*g + 8, 2*s - 14 = -3*s + 2*g. Which is smaller: s or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.013 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 185, 2.\nAnswer: -15, -4, 2, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15365 and 79640.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/13 and 4\/14 - 1115\/350.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/75*(1 - -4). Suppose 2*h + 2*h + 2*x = 8, 5 = -h + l*x. What is the common denominator of 65\/35 - (h - 5) and -81\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 534, 1003, 1414, 1767, 2062, 2299, 2478?\nAnswer: 2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**3\/2 - 2*f**2 + 761*f. Let a(m) = -2*m + 3. Calculate 4*a(t) + 3*b(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*r = -9, -x = 38*r - 34*r + 33. Let p(d) = -9 + 15*d + 4189*d**3 + d**2 + 15057*d**3 + 507*d**3. Let f be p(x). Round f to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11989 - 0.06728?\nAnswer: 11988.93272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10031 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-57)\/95 - 8\/(-10)). Calculate the least common multiple of 1 and (-8)\/(-20)*(0\/(-2) + m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -54301.1759?\nAnswer: -54301.5759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -240*m + 15. Let j(f) = -10*f. Determine c(j(x)).\nAnswer: 2400*x + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13669, 14174, 15015, 16192, 17705, 19554?\n\"Answer: 168*z**2 + z + 13500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epe when three letters picked without replacement from {p: 1, d: 2, g: 1, e: 2, l: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 183996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -16. Suppose 25 = y + 4*y. Suppose -j - 8 = -q, -j + 4*q - 214 + 182 = 0. Solve 0 = t - y*d - 28, j = -p*d + 3*d - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367561 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.41861ml to litres.\nAnswer: 0.09441861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*((-9)\/42)\/((-6)\/(-8)). Let g(a) = 3*a + 7 - 4*a + 6*a**f - 19 - a + a**3. Let o be g(-6). Round o to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 320*k**2 + 503*k + 58373. Calculate h(-321).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153872.1 rounded to the nearest 1000?\nAnswer: 154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113850, -5, -3 in decreasing order.\nAnswer: -3, -5, -113850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3855930 + -20?\nAnswer: -3855950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134473 is divided by 156.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -5 (c) 61 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -129*c + 127*c - 4*q, -7*q + 23 = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*c + 5372, -4*c + 2*m + 7148 = 3*m. List the prime factors of 2\/(-11) - c\/(-33).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13465 + -2.13465. What is the nearest to 0 in 1, k, -202?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z*z**(-2\/3)*z))\/(z*z**(-2\/17))*(z*z*z*z\/(z*z\/(z\/z**0)))\/(z**(7\/2)\/z) assuming z is positive.\nAnswer: z**(-73\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 56, 0.07 in descending order.\nAnswer: 56, 2\/7, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16637 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1198 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 + 2. Let i = m + 0.3. Let h(c) = c**3 + 9*c**2 - 7*c - 68. Let o be h(-9). What is the closest to i in 2, o, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 1\/6*k**3 - 36*k**2 + 0 + 0*k - 1\/24*k**4. Let j(p) = -14*p + 10. What is -12*a(n) + j(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000295519996 to 7 dps.\nAnswer: -0.0002955","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = -3*j + 40*x + 38*x, -j + 14389 = -3*x + 14430 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h**4 - h**3 - 9*h**2 - 31*h + 10. Let d(n) = n**2 + 2*n - 1. Let a(p) = 18*d(p) + 2*f(p). Find the second derivative of a(u) wrt u.\nAnswer: 312*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 11:37 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468534 is divided by 14641?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**4 + 84*f**3 + 1000*f**2 + 2352*f + 1440 = 0.\nAnswer: -6, -2, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76806099104 plus -3?\nAnswer: 76806099101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004731689 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54122*i**4 - 254*i**2 - 12*i wrt i.\nAnswer: -1298928*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 1, f: 3, e: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 139369969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672\/(-126)*63\/28.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 12:15 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 240 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 118, 179, 3, -1.\nAnswer: -2, -1, 3, 5, 118, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 1)*(118*u**2 - 52*u**2 - 60*u**2).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -n - 4*u, 12*u = -3*n + 9*u - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 483.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t. Let r = 3 - 1. Let q(y) = -18 + 2*y**r + 18. Give c(q(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + 2587 = 57*p + 6 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15168000 = 8*y - 32*y. What is y rounded to the nearest ten thousand?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0 - 3\/2*f**2 + 0*f**5 + 3*f - 1\/10*f**6 + 0*f**4 + 0*f**3. What is the derivative of o(w) wrt w?\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 10*d + 10. Let v be c(9). Factor 1729*a + v + a**3 - 1730*a - 4*a**2 + 3.\nAnswer: (a - 4)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxff when four letters picked without replacement from ffvfvxvx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 7. Let q(r) = 3*r + 3. Let s(f) = 18*f + 35. Let g(m) = -5*q(m) + s(m). Calculate -4*g(v) + 11*p(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(133) - ((sqrt(133) + sqrt(133)*-1 - sqrt(133)) + sqrt(133)))*2)\/(-5*(sqrt(28) - sqrt(7)) - (sqrt(7) + sqrt(567)*-1)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 5 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 405*n - 213*n + 588*n + 599*n to the form q*n + a and give q.\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1439864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 39*i - 40. Calculate r(-39).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -68*v - 16. List the prime factors of x(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 3247?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q**4\/9 - 902*q**3\/9 + 1058*q**2\/3 - 298*q\/9 - 110\/9 = 0.\nAnswer: -1\/7, 1\/4, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 3*u**5\/20 - 5*u**4\/4 + 5*u**3\/2 - 9*u**2\/2 - 204*u. Let y be n(4). Solve 0 = -y*m + 2 - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 2. Calculate u(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000047 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {g: 4, c: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - r**2 + 3*r - 3. Let o be x(3). Suppose -p + 2*n = -0*p - 12, -4*p + 2*n + o = 0. Let t = p - 3. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -30776 in increasing order.\nAnswer: -30776, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13476098 is divided by 134.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 114 - 104)*(-2 + 0 - 1)*(y**3 - 2*y**3 + 4*y**3).\nAnswer: 1251*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -181163, -181170, -181177, -181184?\n\"Answer: -7*h - 181156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, 1 f, and 1 o when four letters picked without replacement from jmojjfmohhhocmj.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/((-206)\/(-309))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 + -102. Let i = z + 8. Let b = i + -80.7. What is the third smallest value in -0.4, 6, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + -3 + 0 + sqrt(2448))**2.\nAnswer: 24*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3)\/((-846)\/(-564))*((-24)\/28)\/(-3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.58676*0.01.\nAnswer: 0.0058676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2 (b) -3 (c) 0 (d) 6 (e) 144\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 4*u)*(3*u**2 - 14*u**2 - 5*u**2).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 670\/3 or 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3 + 42947*q**2 - 5*q + 1590825?\nAnswer: 6*q**2 + 85894*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 49\/(-10 + 3)*6\/(-14). Let -9\/5*i**a - 3\/5*i**2 + 0 + 0*i = 0. Calculate i.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 4*k**3\/3 + k. Let j(r) = 19 - 19 - 13*r + 11*r. Determine j(h(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -32*y**2 + 130*y + 391. Give l(5).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(9\/217854*26)*(-14)\/98.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 250469939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2851984 to 3 dps.\nAnswer: 1.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b**3 - 7*b - 1 + 17*b**3 - 4*b**4 + 2*b**2 + 5*b to the form n*b**3 + u*b**2 + f*b + s + x*b**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -48. Let o = y + 23.00000065. Round o to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49678 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51975*g**6 - 3*g**3*t**2 + 5*g**2*t + 3*g*t**2 - 9*g*t - 3*g - 10 wrt g?\nAnswer: -6237000*g**3 - 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*c)*(-4 + 3 + 2)*(2 - 1 + 0) + 24*c - 70*c - 55*c - 2.\nAnswer: -99*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 1\/98?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -249, -0.1, -2\/5, 14, -1\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 36797?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14195.\nAnswer: 5, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110.132 + -0.968. Let t = 111 + x. Which is the nearest to -3\/11? (a) 2 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {y: 3, d: 1, e: 3, j: 2, l: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -39.6 times -3\nAnswer: 118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2363.75796 to 0 decimal places.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3 and 109.2958321.\nAnswer: 110.5958321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 11*h**2 + 3*h + 37. Calculate the remainder when 720 is divided by p(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*v = -8031 + 439, 2*j - 5088 = 4*v. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156) + sqrt(156)*-3 - sqrt(156)) + sqrt(156))\/(-2*-3*sqrt(12) + sqrt(12)).\nAnswer: -8*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4773399.\nAnswer: 3, 139, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100411 - -301237\/3. Suppose 1\/3 + 4\/3*x**3 + 2*x**2 + w*x + 1\/3*x**4 = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1949*w - 1948*w + 21 = 0 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 - 36\/(-21). Suppose -5*a + 69 = 2*o, -o + k*a + 0*a = -48. What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 14*r**4 + 90*r**3 + 98*r**2 - 18*r - 40 = 0.\nAnswer: -5, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Suppose -3*o = -0*o - 3, -2 = b - g*o. Is 6*(-2)\/(-2) + b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.29 and -0.02.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-1080*u - 66 + 2151*u - 1074*u).\nAnswer: -3*u - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)**(-8\/3)\/(u**(-1\/2)\/(u*u*u\/(u*u*(u\/(u**6*u))\/u*u*u))) assuming u is positive.\nAnswer: u**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:42 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/20 and 87\/740.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49359.09 nanograms?\nAnswer: 0.04935909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 810766.9 years?\nAnswer: 8107.669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*q**4 + 3*q**4 - 15*q**4 + (-12*q**3 - 28 + 28)*(-3*q + 0*q - q)*(3 + 2 - 3).\nAnswer: 63*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.03. Let n = 0.53 + w. What is the second biggest value in -1\/3, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:15 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 2 (b) 0.1 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 141750654, 283501304, 425251952, 567002598, 708753242, 850503884?\n\"Answer: -d**2 + 141750653*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1. Let u(m) = 2*m + 10. Let o(i) = 10*a(i) - u(i). Let s(q) = -13*q**2. Determine s(o(v)).\nAnswer: -52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -5*g + 99 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddj when four letters picked without replacement from dddddjjd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*o - 7148 = -2899 + 3299 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 18\/276479?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 33964*l**2 - 135904*l + 135920.\nAnswer: 4*(l - 2)**2*(l + 8495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 49 + 10 = o, -53*i - 42*o = -51*i - 62 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n**3 + 1979*n**2 + 531*n - 65941. What is c(198)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-4)\/5) + (-1836)\/2720. What is the closest to -1\/6 in -0.1, 2\/9, -5, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -114, -195, -292, -405, -534, -679?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 4*q**2 + 2*q + 11. Let k(s) = -s**3 - 2*s**2 - s - 6. Determine 4*i(g) + 7*k(g).\nAnswer: g**3 + 2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1460734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990327427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 150*f - 69732 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6)*21\/350*-4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-450)\/(-7))\/(9\/84). Suppose 2*a + 115 = -z, 5*z + 4*a + m = -a. What is the tens digit of (-24)\/10*z\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/2 of a centimeter?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 3) to base 14\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2. Let r(y) = -40*y**2 - 2. Let x(d) = d**2 - d + 1. Let j = 220 + -221. Let g(q) = j*r(q) - 2*x(q). Determine g(s(m)).\nAnswer: 342*m**4 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -324, 1 in decreasing order.\nAnswer: 1, 0, -3, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 81\/(-6)*(-106720)\/138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353037 + 163996 = 11*w. Suppose -5*v + w = -57997. Suppose 0 = -9*y + 6*y - v. Round y to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 - 9*s**3 + 8*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 y when three letters picked without replacement from gggggggggymgg.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*o + 28 = 0, 14*m - 17*m + 3*o = -6. Suppose -2*q = m*l - 3*q - 218, -3*l - 5*q + 152 = 0. Solve 50*z + 8 = l*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35291.6712076 - -2.026.\nAnswer: -35289.6452076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220 + -111?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0)*44*(-16)\/(-4928)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231083 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(300) + -5 + (sqrt(300) + 2 - sqrt(300)) + 2)*-2)**2*-2.\nAnswer: -2408 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10 + 7*f**2 + 1 + 3. Let n(z) = 1. Let y(r) = -b(r) - 5*n(r). What is y(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 32*j**3\/3 + 31*j**2\/2 - 72*j. List the prime factors of u(5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -2, 0, 24 in descending order.\nAnswer: 24, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/5 of a century?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 10*f = 38. What is the remainder when f is divided by (-2)\/(-4) - (-91)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 80 = 4*p. Let f = -11 - p. What is the third derivative of -j**f - j**5 + 0*j**5 + j**2 wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s - 322 = 0. Let r be 3\/2*s\/(-21). Let l = -23 + r. Put l, -3\/5, 0.4 in descending order.\nAnswer: 0.4, l, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 442750140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - 244\/(-3). Suppose x - 11 = -2. What is the highest common factor of j and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 3*l + 5*q, 21905*q = -4*l + 21901*q + 72 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*y = 0, -5*w = y - 18 - 5. Solve 2*q + 4*d - 4 - w = 0, 4*q = -d + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let t = -278 + 462. Let b(z) = -2*z**2 + t - 184. Give n(b(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o**2 + 30*o**2 + 2*o**2)*(2 - 17 - 4) + 5*o**2 - 6*o**2 + 4*o**2.\nAnswer: -358*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 - 8*n - 7. Let w be d(3). Suppose 9*x - w*x = 0. Suppose -o + 145 = -x*o. Does 29 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {u: 1, r: 1, j: 2, z: 1, b: 1, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92, -58, 36, 202, 452, 798, 1252, 1826?\n\"Answer: 2*x**3 + 18*x**2 - 34*x - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 213.27666 months?\nAnswer: 0.17773055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 133\/(-2926) - 7384\/176?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/12 and -41\/342.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 404, 1648, 3722, 6626?\n\"Answer: 415*l**2 - l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 286*u**3 - 6*u**2 + 3*u + 5. Let a(z) = 857*z**3 - 16*z**2 + 8*z + 14. Calculate 3*a(q) - 8*l(q).\nAnswer: 283*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3739 < -3737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2600*o + 1299*o + 1301*o + 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/5 - 96*w**3\/5 + w**2\/5 + 96*w\/5 = 0. What is w?\nAnswer: -96, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/45)\/((-2)\/(-4))*(-60)\/(-80).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.32, 6, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (410\/246)\/((-10)\/(-12)). Solve 3*k = d - 11 - 9, -2*k = y*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -40*k + 35. Let s be d(2). Let o be 3\/(s\/(-84))*75\/90. Let 6*n**2 - 8*n + o*n**3 - 8\/3 = 0. What is n?\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2319402.\nAnswer: 2, 3, 571, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 6. Let p be w(-4). Let t be -11 + 2 + 0 - -1. What is the units digit of p\/t - 66\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 - 66 = u. Suppose -u = -2*o - l, -o + 231 = o + 5*l. Let n = 59 - 43. What is the greatest common divisor of n and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + 3 + (0 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (5 + 8 + 10 - 2).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0882 times -0.5\nAnswer: 0.0441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -63160000 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r + 3. Calculate c(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a\/(a*a**0\/a))\/a)**17*a**(2\/7)\/(a\/((a\/(a\/(a**(1\/3)\/a)*a))\/a)))**7 assuming a is positive.\nAnswer: a**(643\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eegv when four letters picked without replacement from egggegvggg.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(252) + (sqrt(252) - (-2 + sqrt(252))))**2 + sqrt(252) + (sqrt(252) - -1*sqrt(252)) + 4 - -2*((sqrt(252)*-1 + 3)**2 - (sqrt(252) + 2 + 1)).\nAnswer: -757 - 186*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94)\/6 - 4\/(-6). Let i = 64 - 64. Let j = i - x. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*o = -157*o + 4*j + 1, 0 = o - 4*j - 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 4, -4, -523 in ascending order.\nAnswer: -523, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917612 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -622, 1, 0.4, 27?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -269490 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -2*l**3\/3 + 1. Let u(k) = k**3 - 23*k**2 + 23*k - 20. Let a be u(22). Let b(s) = s - s**a - s + 0*s**2. What is p(b(o))?\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 129 = x, -43023*a - 86 = -3*x - 43021*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -320 + 350. Let y = -0.68 - 31.32. Let p = x + y. What is the second biggest value in 1\/3, 1, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t - 2*x, 0 = 2*t - x - 7. Let z be 1 - -12 - 2\/1. Sort t, 5, z in decreasing order.\nAnswer: z, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 6*g - 5. Let t be w(-2). Suppose 0 = -2*a + 7*a + t*x - 152, 2*x - 36 = -a. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11202.7022 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 5:37 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*(q\/((q*q\/(q**3*q)*q*q)\/q*q))\/q*(q**(1\/3)*q)\/((q\/((q**(-1)*q*q)\/q))\/q))\/(((q\/q**7)\/q**(2\/15))\/(q*q\/q**(1\/4))**(3\/2)) assuming q is positive.\nAnswer: q**(731\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369\/2 - (-5)\/(-2)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Suppose -p + m*p + 5*o = -16, 5*p - 5*o = 40. Suppose -5*f + p*a = -224, 3*f - 5*a = -27 + 164. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 14 = 3*m, -2*h - m - 3 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**4 + 5*z**5 + 0*z**4 + 3*z**4 - 6*z**2 wrt z?\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -37*c**2 - 7*c + 7. Let f be x(1). Suppose 4*z = l, -7*z = -2*l - 9*z. Suppose y + 28 + 8 = l. Is f at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 10:48 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15328.94mm in centimeters?\nAnswer: 1532.894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 21 + 4*s + 37 to the form f + d*s and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1113*j**5 - 17*j**4 + 26*j**2 - 2*j - 2 wrt j?\nAnswer: -66780*j**2 - 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -20 - (-6 + 3 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 10:47 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16274011 to the nearest integer?\nAnswer: 4034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - c = 2*c. Suppose y = -0 + 3. Suppose l - y*j - 9 = c, 0 = l + 3*j - 8*j + 1. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -858 (b) -2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.9517 kilograms in milligrams?\nAnswer: 101951700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 21. Let o(a) = a**3 - a**2 - 8*a - 10. Let n be o(f). Let c = 8 + n. What is the remainder when c is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:20 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j = 9*m + 50, 842*m - 25 = -32*j + 28*j + 841*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)*o*((o\/((o\/(o*o*o**(1\/9)*o))\/o))\/o)\/o)\/(o**(-2\/21)*o**2) assuming o is positive.\nAnswer: o**(97\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-49)\/2*-2 - 2. Suppose 0 = 3*g - 25 - d. Suppose -4*v = 4*x - g, 3 = 3*x + 12. Calculate the remainder when 15 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.52 + -0.02. Let m = 0.4 - 1.4. What is the third biggest value in r, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or 902\/19?\nAnswer: 902\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 56\/3*r**3 + 0*r + 45\/2*r**4 + 4*r**2 - 49\/3*r**6 - 56\/5*r**5 + 22. Suppose l(g) = 0. What is g?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 - 6*d**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 385615870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4546 a factor of 219141893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22237 is divided by 377.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 n when three letters picked without replacement from nvnvnunku.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1168387 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -14*m**3 - 142326*m**2\/11 - 607316*m\/11 - 161904\/11 = 0?\nAnswer: -10119\/11, -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i + 1. Let h(k) = k - 1. Let l(f) = 3*h(f) + j(f). Let y be (36\/(-60))\/(2\/10). Calculate l(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v - v + 7*v. Let m = 4 + -2. Let u(z) = -m*z - 2*z + 6*z. Determine b(u(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*r - 30514110 = -180*r - 182*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from silkxks.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(8\/7))\/k)\/k**(-3\/7)*k\/(k*k\/k**(2\/37))*k**(-1\/28) assuming k is positive.\nAnswer: k**(-251\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 25 = 4*g, 0 = w - 4*g + g - 4. Suppose 208*v - 200*v - 88 = 0. Suppose d - w = v. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274503 divided by -92.\nAnswer: 274503\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1162282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-5)\/(-2))\/((-755)\/85 + 15) and -163\/78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {c: 1, y: 5, k: 1, t: 3, h: 2, r: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15331605, 15331606, 15331607, 15331608, 15331609, 15331610?\n\"Answer: p + 15331604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 - -2)\/((-15)\/(-36))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71107172.\nAnswer: 2, 577, 30809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -1 + 0*b**3 + 1\/2*b**2 + 0*b**4 + 1\/90*b**5 + 0*b. Let w(m) be the second derivative of x(m). Find l, given that w(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4*x - 6)*(0 - 5 + 3) to the form l + d*x and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19166, 38334, 57502, 76670?\n\"Answer: 19168*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(76)*1 + sqrt(76)))\/(-2*((sqrt(12) + sqrt(24)\/sqrt(2))\/sqrt(3) - sqrt(4))))**2*-5.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from dedeeddededeeddede?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 2531388*s + 2531384.\nAnswer: 4*(s - 632846)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6658, 14714, 22768, 30820, 38870, 46918?\n\"Answer: -p**2 + 8059*p - 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-8) - -4)\/((-2)\/36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 19*m + 869. Give x(-46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*z - 5 = 0, 2*k - 8995*z + 8991*z = 32 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.252 - 3.652. What is the third smallest value in -2, -6, c, 0.11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -302, -353, -510, -827, -1358, -2157, -3278?\n\"Answer: -9*y**3 + y**2 + 9*y - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*c**2 + 80*c**2 - 54*c + c**3 as k*c + g*c**3 + y + f*c**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - m + 2 = 0, -m + 8 = 4*c + m. Let w be (-30)\/(-12)*1*c. Solve 0 = 4*q + 5*x - 25, -w*q + 4*x - x = 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/273 and -9\/260?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*b = 1 + 1, -b = m - 7. Suppose 40*l - 36*l + 28 = 0. Let y be (-2)\/10 + l\/70*-212. Solve m*c + 4 = -y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 3*m**2 - 3*m**4)*(-5*m + m + 3*m)*(2 + 8 - 5).\nAnswer: 15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370163 and 77027?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6752104 (base 11) to base 3.\nAnswer: 211021011102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - g**4 + 0*g**4 - 3*g**3 + 1 + 2*g**3 in the form f + c*g + j*g**4 + h*g**2 + y*g**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15*(2 + 46)\/(-3). Let y = j + 153. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -49. Let n(w) = 5*w - 2. Determine n(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(567) + sqrt(567) + 1 + (1*(sqrt(567) - (0 + sqrt(567))) - sqrt(567)) + (-5 + (-2 + sqrt(567))*5)*4)**2.\nAnswer: -21546*sqrt(7) + 253296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) + (-76)\/(-8) + -3. Suppose -p*h + 0 + 0 = 0. Solve -2*g + 11 = 4*o + g, 3*o + 5*g = h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -59*v - 259. Let x(b) = 20*b + 86. Let h(j) = 12*j - 161. Let l be h(14). Let f(p) = l*x(p) + 2*d(p). Differentiate f(g) with respect to g.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.2 and 15.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.5 + 14.7. Suppose 2 = 4*q - 6. Which is the closest to y? (a) q (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 3*u**2 + 3*u + 2. What is the smallest common multiple of 5 and v(3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8828.269ns?\nAnswer: 0.000008828269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2305*u - 9228*u + 2307*u + 2310*u + 2307*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 926.1301kg in tonnes?\nAnswer: 0.9261301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50570 is divided by 230.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36054 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-24) + (18\/60)\/((-30)\/(-17425)) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237.5 - 237. Sort z, 2, -46 in descending order.\nAnswer: 2, z, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-5)\/2)*(-3930)\/(-262)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -505?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 54.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -85 times -15947\nAnswer: 1355495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805595 is divided by 212?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9027 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.09*1.\nAnswer: 1.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*w + 18, 2*y + 0*w - w - 9 = 0. Calculate the greatest common divisor of y and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, and 1 i when three letters picked without replacement from pbwappopipp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37756 - 22902. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-56))\/(7\/49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/14 of a week in minutes?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*k - 1810 - 1710 = 0, 2*y - 5*k = 1736. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:27 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/5, 0.11, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 451 = 4*c - 555, 4*c - 96 = -2*q. What is the lowest common multiple of 212 and c?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**2\/2 - 2. Let s be (12\/9 - 1)*3. Let u be t(s). Solve j + u = -0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 209*i**2 + 3*i + 21. Let q(g) = 105*g**2 + g + 10. Let j(t) = 4*o(t) - 9*q(t). Let l be j(-7). Let h = 10968 + l. Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55503 is divided by 3964?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/4251 and 1\/20274.\nAnswer: 263562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 36*l + 127. Calculate the smallest common multiple of o(-33) and 246.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) 0 (c) 29\/925 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -62898.224 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d - 40. Let m = d + -8. Suppose -f + 3 = 5*h - 5, -h = 4*f - 13. Solve 0 = -4*y + 5*n - 4, f*n + 2*n - m = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269*j + 132660 = -3681*j for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.147049*-1\nAnswer: -1.147049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/55*(-21)\/(-189).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58270212 a multiple of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-3*-2*-1)\/(-3*sqrt(5)*5 + (3*sqrt(60))\/sqrt(12)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 440 - -63. What are the prime factors of a?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.7 + 12.7. Put -5, s, 2\/23 in decreasing order.\nAnswer: 2\/23, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/(-1 + (-34)\/(-30)). Let b(f) = -3*f**2 + 3*f - 8. Let p(c) = 4*c**2 - 4*c + 9. Give x*p(m) - 6*b(m).\nAnswer: -2*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 61*z + 33. Give v(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 + 2 + 5*q**3 + 7*q**2 - 5*q - 4*q. Let b be n(-8). Suppose 0 = 2*a - b + 2. What is the least common multiple of 7 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3.2, -9.3, 5?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (60\/15*(-1)\/(-8))\/((-28)\/7560*3)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*j = -78*j + 136*j - 2730 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0.1. Let s = -189\/995 + -2\/199. Let g = -0.16 + 3.16. Put s, h, g in decreasing order.\nAnswer: g, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9692.0777 rounded to zero dps?\nAnswer: -9692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38339 (base 10) in base 13?\nAnswer: 145b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - 13031?\nAnswer: -13053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1905 = -217*k - 820. Solve 6*q + 7 = -k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r = 95*r - 2556. Determine d so that -8\/3 - 44\/3*d - 4\/3*d**4 - r*d**2 - 25\/3*d**3 = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -s - 6*q + 276, 1113 = 4*s + 3*q. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 3:32 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 28*l**2 - 3*l + 3. Let a(o) = 14*o**2 + 58*o + 5. Let d be a(-4). Let b(q) = 196*q**2 - 20*q + 20. Give d*b(i) + 20*j(i).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233235?\nAnswer: 3, 5, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((-2)\/(-8) - 14\/(-8)). Solve -u*k + 3*z + 30 = 0, z + 33 = 4*k + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - q + 137 = -166, m = -4*q + 87. Suppose 0 = 2*b + 2*b - 4. Calculate the smallest common multiple of m and b.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 17134.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74279841 divided by -137301.\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/sqrt(396)*2)**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 170 - 98927?\nAnswer: -98787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:21 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-4\/21)\/(f\/((f*f*(f\/(f\/(f\/((f*(f\/(f*f*f\/(f*f**(-1\/5))*f*f))\/f)\/f))))\/f)\/f*f)*f*f\/(f\/f**(-2))*f) assuming f is positive.\nAnswer: f**(526\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35938 and 2176.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150\/(-420) - 288\/(-112)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7270 - 7270. Which is smaller: -1\/846 or c?\nAnswer: -1\/846","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8.8, -2\/13, 20, 0.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 18466885*f + 18466890.\nAnswer: -5*(f - 1)*(f + 3693378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 187337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/65888892 and -55\/9?\nAnswer: 65888892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 594545 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2539345 + -2539590.0226. Let h = 47 + -292. Let p = h - q. What is p rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 + 0 + 0)*(3*c + 4*c - 6*c) - 2797*c**3 + 73541*c**2 + 1088*c**3 - 73545*c**2 to k*c + h*c**2 + u + n*c**3 and give n.\nAnswer: -1711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13987*m**4 + 7597*m wrt m.\nAnswer: 167844*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.7*-12.\nAnswer: 68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 469375723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 + 1554*c**4 + 1152*c**3 - 584448*c**2 - 6328320*c - 19095552 = 0 for c.\nAnswer: -8, 24, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*v - 27, -27 = -9*v + 4*v - 4*p. Suppose 3*q = v*h - 54, 2*h - 3*q = q + 32. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1154, 4839, 10980, 19577, 30630, 44139?\n\"Answer: 1228*g**2 + g - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 2*j)*(-48 + 9 + 18 - 2 + 1 + 4 + (1 - 3 + 4)*(-3 + 3 - 2)).\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 1\/((-7)\/1050)*(-2)\/6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.723837 and 5847.\nAnswer: 5846.276163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/6903501 and 97\/282.\nAnswer: 13807002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6.94 (b) 20.25 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -50 (b) -4\/3 (c) -0.42 (d) -86 (e) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 19*b**2 - 2*b + 12. Let h(r) = -3*r**2 + r - 1. Give -a(f) - 6*h(f).\nAnswer: -f**2 - 4*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14225230, -14225231, -14225232?\nAnswer: -14225233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3\/8, -1\/9, 2.22, 5 in ascending order.\nAnswer: -1\/9, 3\/8, 2.22, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -14. Let y(a) = -a**3 - a + 2. Let g(b) = 4 + 1 - 4 + b**2. What is s*y(q) + 2*g(q)?\nAnswer: q**3 + 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17097*u**4 + 5*u**3 + 353370 wrt u.\nAnswer: 68388*u**3 + 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + 5\/60*39. Factor 21*v**f + v**2 + 3*v - 2*v**2 + 9 - 20*v**3 - 4*v**2.\nAnswer: (v - 3)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvpvvvvbvpvvvvvbp.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 2230 - 2230)*(-6*l + 3*l**3 + 6*l)*(l - 3*l + 5*l + (2 - 2 + 2*l)*(-4 + 2 - 1) + l - 4 + 4).\nAnswer: 36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 + -33?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3 - 4*k**2 - 1465*k + 865677 with respect to k.\nAnswer: -3*k**2 - 8*k - 1465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.3. Let q = 0.13 - -1.87. Let c = q - 9. Which is greater: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:40 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - 192.7. Let d = -194.99 - p. Let w be 2\/(-9) - 20\/18. What is the second biggest value in 0.5, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -120. Which is the nearest to -1\/5? (a) -2 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/17, 0, -1\/43, -5, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let x(p) = 2*p + 12. Let c be x(-8). Let d be (c + -1 + 4)*0. Solve -a - 4 = d, a - 14 = -2*m + i*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssb. What is prob of sequence bs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 53. Let g be ((-1)\/3)\/(o\/315). Find the second derivative of -16*v**g + 39*v**5 - 10*v**5 - 2*v wrt v.\nAnswer: 260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.2. Let a = -45.6 + 243.6. Let x = 194 - a. What is the nearest to x in g, -0.3, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -45, 2\/5, 0, -5 in decreasing order.\nAnswer: 2\/5, 0, -5, -6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 5:19 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2898 + 6946 + 14)*(4*z**2 - 4*z**2 + 2*z**5).\nAnswer: 8124*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-34)\/4)\/((-1)\/8). Suppose 8*u - 120 = 11*u. Let r be 13*u\/(-5) - 2. Calculate the greatest common divisor of r and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n - 5*x - 27, 8 = -n - 2*x. Solve -36 + 55*h + 8*h - 4*h**n + 21*h - 28*h**3 - 8*h**4 - 8*h**3 = 0 for h.\nAnswer: -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -49099.\nAnswer: 490.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -135*w**2 + 4*w + 4 - 4*w - 15624*w**3 + 136*w**2. Let s be j(-2). What is s rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -4 - 3\/2*b**2 + 37*b. List the prime factors of r(-21).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1383 + -1041. Calculate the highest common factor of 114 and z.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -1\/92, 1, 0.23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3316.483l to millilitres.\nAnswer: 3316483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68287, 136569, 204849, 273127, 341403?\nAnswer: 409677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**5\/20 - 3*u**4\/4 - 3*u**3\/2 + 4*u**2 - 1541*u. Determine x(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8936823 = 215*h + 1869462 - 900969. List the prime factors of h.\nAnswer: 2, 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-10)\/(-280)) - (25 + 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2 + (-35816)\/(-2178)*(15\/(-6) + -2)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -365\/3 + 123. Which is the third smallest value? (a) -1 (b) -0.02 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {r: 4, z: 1, k: 2, s: 3, p: 1, h: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*h - 11 = 0, 0 = -5*h - 25 + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 10}. Give prob of sequence yy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3 - 201. Let r = 537 - 537. Suppose r = 4*h - 1 - y. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(68) + 0 + sqrt(68) - ((-3 + -1*sqrt(68) - sqrt(68)) + 5 + sqrt(68) + sqrt(68) + sqrt(68)*1 + sqrt(68)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41364 and 894.\nAnswer: 6163236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5452.\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*z - 6*z + r, 4*z = 5*r + 12. What is the lowest common multiple of 1673 and z?\nAnswer: 5019","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 x when three letters picked without replacement from {x: 5, d: 2, w: 2}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.9 (b) 2\/131551 (c) 0.5 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2419347 and 1?\nAnswer: 2419347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2251717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(3134\/(-12) + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 5, h: 6, w: 5}. Give prob of picking 2 u and 1 c.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34250642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4*y**2 - 4*y - 5. Suppose -4*o + 6 = -10. Suppose 0 = -o*c + 45 + 27. Suppose c*l = 22*l - 20. Determine p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 6*w. Let d be r(-3). Suppose -15 = -8*i + d. Suppose -2*g - i*s + 33 = -25, -2*s - 61 = -3*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 e when three letters picked without replacement from {b: 3, e: 2, z: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (2 + sqrt(57)\/sqrt(3))**2.\nAnswer: 4*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/18*(9 - (0 - 3)). Let d(z) = 10*z**2 + 61*z + 6. Let j be d(f). Solve k = -2*u - 0*u - 4, j = 3*u - 2*k + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. Suppose -a*n = q - 39, -2*n = -5*q - 31 - 14. Calculate the lowest common multiple of 22 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (-8 + 7 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(288)*1)*-1*2 + -1*(sqrt(288) - (4*sqrt(288)*-5)**2)*-3.\nAnswer: -345608 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 33*k**2 - 1. Let z(q) = -2*q**3 + 32*q**2 - 1. Determine -4*y(f) + 5*z(f).\nAnswer: 2*f**3 + 28*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 15*u**3 + 246*u**2 - 723*u + 342 = 0.\nAnswer: -19, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 12:13 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 22*j + 16. Let p be (33\/(-15) + 3)\/(j\/110). Let c be p\/(-4) + -4 + -1. What is the smallest value in 2, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8302427477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 18.602558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2622000 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976227459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 3728*n**2 - 128486*n + 1097044.\nAnswer: 2*(n - 17)**2*(n + 1898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 47197805 to the power of 1\/2, to the nearest integer?\nAnswer: 6870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -258 (base 9) to base 12\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.712 + -0.112. Let q = 2.4 + r. Let p = q + -37. Which is the biggest value? (a) -1\/7 (b) 5\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 1\/38629, 8, -20\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + a = 12*x - 8, -4 = -2*x + a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28212 divided by -4\nAnswer: 7053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(243) - sqrt(243) - (-4*(sqrt(243) - 1*sqrt(243)))**2) + -5 + (sqrt(192)*2*-2)**2.\nAnswer: 3070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-144)\/6)\/4*(0 - 1). Suppose m*s - 65 = s. Solve 5*j + s = 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 333 = -2*w - 4*i, 0 = -3*w + 4*i + 507. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 78. Let w(d) = 1171*d. Give w(u(q)).\nAnswer: 1171*q**2 + 91338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000444537173 to six dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2916674?\nAnswer: 8750022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1185 divided by -54339.\nAnswer: -395\/18113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 43*l**2 - 5. Let q(o) = 21*o**2 - 2. Give -5*q(n) + 2*v(n).\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -406.8 * -0.02\nAnswer: 8.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/13 - 34*g\/13 + 120\/13 = 0.\nAnswer: 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1077 + -720. Let h = j - 357. Find u such that 2\/7*u + 10\/7*u**3 - 8\/7*u**2 - 4\/7*u**4 + h = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2427?\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 34 = -6. Let k be (-2)\/p - 190\/(-70). Suppose 0 = k*v - u + 3*u - 295, 5*v - 5*u - 525 = 0. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/8))**(-6\/25)*x\/x**6*x*x**(-11) assuming x is positive.\nAnswer: x**(-1521\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13322*g + 53756. Calculate q(-4).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14485\/28 + 2067\/4. Let s = -3.09 + 0.09. Which is the nearest to -2\/5? (a) 0.5 (b) y (c) 3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnuq when four letters picked without replacement from {h: 6, q: 1, n: 5, u: 3, g: 5}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**4\/8 - 11*y**2 - 2. Let b(s) = 3*s + 18. Let w be b(-6). Suppose 4*d - 6 = 5*z, w*z - z - 3*d + 14 = 0. Calculate p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3109.\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 33*i**3 - 143879*i**2 + 1574327*i + 47839 = 0?\nAnswer: -1\/33, 11, 4349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1007 divide 352696137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12123221210 (base 4) in base 9?\nAnswer: -3148822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + u - 6 - 4*u. Let r be f(-4). Let j(m) = 88*m**3 - m**2 - m + 2. Let g be j(r). Round g to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - w + 12, u - 3*w = -0*w - 4. Suppose -5*o + 4729 = -u*z, 11*z - 6*z - 4750 = -5*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 12*q - 7. Let v be i(-12). Let z(a) = -7*a - 7. Let b(g) = 1. Let h(j) = v*b(j) - z(j). Let o(c) = c**2. Calculate o(h(k)).\nAnswer: 49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3663.295us?\nAnswer: 3.663295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 6784.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0261 times 90\nAnswer: -2.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1093621 (b) 37\/9 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r - 2 + 36*r - 14*r - 12*r - 21*r**2 - 7*r. What is n(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 447975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + j**3 - 1 + 1054397*j**2 - 76*j - 1054398*j**2 as w*j + o*j**2 + s*j**3 + u and give w.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130992 - 0.08?\nAnswer: 130991.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/2, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -820256 - 0.3?\nAnswer: -820256.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i - 2. Which is the closest to -1? (a) 4\/5 (b) -6\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z**2 - 15*z + 5. Let v(w) = -24*w**2 - 31*w + 10. Let b = 279 - 285. Let i(c) = b*v(c) + 13*p(c). Calculate i(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -904 + 904.004775. Round b to 5 dps.\nAnswer: 0.00478","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.80163 - -35.8. What is x rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 14*x**2 - 11*x + 15. Let d be z(-13). Let f(j) = 19 + j**2 - 6*j + 18*j - 4. What is the units digit of f(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9264 and 986400.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d + 4. Let t(k) = -5*k - 2. Suppose -187*p = -186*p + 5. Let w(q) = -q**2 - 4*q + 7. Let a be w(-5). Let v be -1*a - 0\/2. Give p*t(c) + v*i(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v = -145. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16*62\/28 - 15\/(-35). Let j be m\/20 - -2 - 21\/4. Is (-1 - j)\/(2\/13) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3428853 and 2328.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-27 - (-30 + 28)) + -18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 846996 divided by -66\nAnswer: -141166\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*n = 0. Let x = 21 + -26. Let l be 92\/(-260) + (-1)\/x. Is l at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53381?\nAnswer: 53381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -80cc8?\nAnswer: -81007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 3. Let l be b(2). Suppose -2*a = -3*a + 5*t + 27, 33 = 4*a - l*t. Let y be a - (-1 - 38\/(-14)). Which is greater: 3\/5 or y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-573*m + 282*m + 269*m)*(3*m**2 + 2*m**2 - 3*m**2).\nAnswer: -44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 15 - (-2 + 2). Let h = 15 + w. Solve 4 = -4*k + k - 2*d, -5 = -h*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19229741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 224427 bigger than 224521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Suppose 0 = -n*w - w + 112. Round w to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 7664628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/25, 0.02, 218, -1, 4\/21, -0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 8*p**2 + 9*p. Let d(o) = -o**2 + o + 1. Let i(y) = -c(y) + 2*d(y). Let j = 25 + -32. What is i(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1. Let y(z) = -z - 3. Let w(h) = -2*i(h) + y(h). Let a(k) = -5*k - 6. Let b = 2 + -4. Give b*a(r) + 11*w(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30659\/14 or 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018653 to seven dps.\nAnswer: 0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-318)\/(-8))\/(-1) - (-1)\/(-4). Which is smaller: p or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6\/671, 3, -0.3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97802.77 weeks in seconds?\nAnswer: 59151115296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*z - 36, z - 2*w = -0*z + 7. Let u = z + 28. Suppose 51 = 2*p - u. What is the highest common factor of p and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + 3 + 2 + sqrt(700) + -1)**2.\nAnswer: 120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 less than -559368125244?\nAnswer: -559368125347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*r**2 - 11*r + 11*r in the form g*r + z + m*r**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*l - 173*l - 16 = 18*s, -8 = -4*s + 2*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-132)\/360 + 4\/(-16)*-2. Let z = 0.43 - 0.03. What is the nearest to a in -5, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1785902\nAnswer: 178590.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422 divided by 809.\nAnswer: -422\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + 2*n - 1. Let y be p(1). Let a = 1519 - 1515. Suppose -2*x = s - a*x - 28, y*x + 96 = 4*s. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -5094 (c) 6\/26725\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-45)*-8*69\/4*3410\/1364\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -27*a**2. Let v(b) = -38751966*b. What is v(r(z))?\nAnswer: 1046303082*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 26. Let s = 7 - g. Which is smaller: 8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 3.8. Let k = 0 + 4. Let g = k - w. Which is the closest to -1? (a) 3 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2459204.\nAnswer: -7377612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 4*h**2 + h - 2. Let q be m(4). Solve 0 = p - q*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196*q**3 + 6639*q - 6566*q**3 + 174*q**3 wrt q.\nAnswer: -39528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2019359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 - 0.03. Let w = -29 + 33. Let k be (4\/2 - w) + (4 - 2). What is the second biggest value in 1, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/2, -3, -1\/25 in descending order.\nAnswer: 1\/2, -1\/25, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -1 + (-143 - (-356 + 96)) - -7?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(14)\/(sqrt(21)\/sqrt(3)).\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 25)*(0*d**4 + 3*d**4 + 21*d**3 + 0*d**4 - 201*d**3).\nAnswer: 90*d**4 - 5400*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73529\/2 - 32720321\/890. Let m = n + 11309\/16910. Find the common denominator of m and -119\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 207 and 96713.\nAnswer: 20019591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -131890 divided by 121?\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(34)\/(1*sqrt(2)) + (sqrt(68) - -2*sqrt(68))\/sqrt(4))**2*-1 + -2).\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**4\/9 - 64*b**3\/9 - 20*b**2 + 72*b = 0. Calculate b.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1300491 (base 10) to base 9\nAnswer: 2401840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2 - 0. Find the common denominator of (6 - 7)\/(9\/f) and ((-11)\/(-99))\/((-3)\/(-120)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 959 + -1646. Let p = w + 1093. Is 29 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c - 2*x + 12, 2*c + 3*x = 9. Let z(p) = 12*p - 10. What is the units digit of z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 812.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0265 times -25.596?\nAnswer: 0.678294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/60 - 17*i**4\/24 - 2*i**3 - 4*i**2. What is the tens digit of s(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(3\/4))\/(l*l**37) assuming l is positive.\nAnswer: l**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 418 in -2, 1\/3, -5016, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 12 = 4*k - 0*i, -4*i = 0. Suppose s - k + 0 = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = 2*a, -2*x - 15 = -3*a - 5. Solve -v + a*w - 1 = 0, 2*v + 15*w - 14*w = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*a - 55*a - 30*a - 56*a + 232*a - 55*a + 1.\nAnswer: -27*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*b + 146 = -70 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Let a = -1863.719 - -1868.718995. Let r = a - d. What is r rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.228 times 1738?\nAnswer: 396.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-17\/2)\/(y*y\/y**(2\/19)))**(-22\/3))**(-7\/3) assuming y is positive.\nAnswer: y**(-30415\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o - 11 - 10 + 4 - 7*o. Let a(d) = -4*d - 25. Let t(s) = -5*a(s) + 7*l(s). Differentiate t(m) with respect to m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 902007 by -29097.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + 6*v**2)*(2 + 3 - 4) + v**2 + 0*v**2 + 0*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -412*u**2. Let f(c) = 3*c. Determine f(s(t)).\nAnswer: -1236*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*26\/(52\/(-15)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/205)\/(33\/(-5115))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**6 + 3*j**4 - 10*j**3 + 2*j**2 + 2*j - 666 wrt j.\nAnswer: -360*j**3 + 72*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b - 4*g, b - 5 = 3*g - 3. Let c = 196 + -128. Let a be -3 - (-4)\/(96\/c). What is the second biggest value in b, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 656\/(-24)*((-8)\/408*-17)\/(20\/90)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6049162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -i + 3*i + 2, -4*g - 4*i - 28 = 0. Suppose 0 = -3*h + 4 - 16. Are g and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 12 - 19 - x**2 - 25 to the form m*x + f*x**2 + k and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 + -209 - (-2 - 2 - (1 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(0 + 3 - 5)*(-4*p + 2*p + 0*p) - p - 3*p + 5*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + -3087263?\nAnswer: -3087197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((-7 - -10) + 3)) + (-2 - (-4 + -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6 and 38\/39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 plus 1?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*a + 13, 1 = -5*p + 3*a + a. Let n(k) = -k**3 + 4*k**2 + 2. Determine n(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/7 - 158*u + 27404\/7 = 0.\nAnswer: 26, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 104504 = 4*o, 78440 = o + 2*o - 4*k. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6497881, -12995758, -19493613, -25991434, -32489209?\n\"Answer: 2*m**3 - m**2 - 6497888*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 - (-870)\/1485. Let -2\/11 - 2\/11*k**2 - z*k = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j + 20. Let l(v) be the second derivative of -4*v**3\/3 + 21*v**2\/2 + 2*v. Let y(h) = 7*d(h) - 6*l(h). Let b = 330 + -319. Calculate y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - 4*l - 13. Suppose s = -100 + 106. Let c(k) = -k**2 + k + 1. Calculate s*c(t) + w(t).\nAnswer: -t**2 + 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12746 + 3*u**5 - 26248 + 12801 + (-2*u + 2*u + 2*u**2)*(-2*u**3 - u**2 + u**2) - 2*u**5 - u**5 + u**5 - 3 + 3 + 2*u**5.\nAnswer: -u**5 - 701","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 - d - 4. Let l be c(-3). Let j be 294\/l - (-3)\/5. Solve -4*o + j = 5, -3*f - o + 13 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o + 68 = 4*y, 5*o + y + 61 = 0. Let w be (-22 - o)*(-43)\/(-5). Let n = -77 - w. Which is the second smallest value? (a) n (b) 0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a7c (base 13) in base 9?\nAnswer: 45566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -38*o**3 - 2*o**2 - 2*o - 1. Suppose w + 1 = -0. Suppose -148*s - 3612 = -997*s + 2331. Calculate the least common multiple of s and v(w).\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.87672 times 0.3\nAnswer: -8.663016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 33*v**5\/40 - 20*v**3\/3 - 18. Let s(f) be the third derivative of q(f). Let n(t) = t**2. Give n(s(l)).\nAnswer: 9801*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u - 3. Let p(j) = 15*j + 29. Let d(b) = -2*c(b) + p(b). Let r(f) = f. What is d(r(t))?\nAnswer: -5*t + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258 - -267. Let j(q) = -39*q + 5*q**2 + h*q + 33*q. Let s(k) = -2*k. What is s(j(v))?\nAnswer: -10*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 - w**2 - 4. Let c = 6 - 10. Let y(o) = -8*o**3 + 3*o**2 + 11. Let v(m) = c*y(m) - 11*h(m). What is the third derivative of v(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*o**4*x - 2*o**4 - 13*o**3*x + 11*o**3 + 6*o**2*x + 65*o**2 - 41*o*x wrt o.\nAnswer: 912*o*x - 48*o - 78*x + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - 4*m - 4*m**2)*(-58 - 157 - 95 - 126) to the form o*m + x*m**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42\/73 - -418\/219. Factor 2\/3*n**4 - 2*n**3 + i*n**2 + 0 + 0*n.\nAnswer: 2*n**2*(n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -1 (c) 0.4 (d) 9\/14 (e) -7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4901 + 252\/420 + (-32)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 221, 340, 463, 590, 721, 856?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -533.8 + 533.5. Let m = -44 - -43.77. Let k = m - -0.23. What is the closest to 1 in 2\/17, k, r?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let u(z) = 293*z. Calculate u(w(d)).\nAnswer: 293*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4219.2133 rounded to the nearest 10?\nAnswer: -4220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + (2 - 1) - 1. Let k(x) = x**2 - 8*x - 13. Let h be k(l). Solve -6 = 3*c + 2*v, -2*v + 11 = -3*c - h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*b + 5*b. Let f be 6\/2 - 2256\/(-6). Suppose 0 = -b*z + f - 71. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + 3*v - 3*v - 2*v. Let i(n) = 2*n**2. What is i(h(g))?\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b = -22*b - d - 3*d - 609, 4*d = -58 + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:25 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4, -653 in increasing order.\nAnswer: -653, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1169949?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + b - 5990 = 900, 4*b = -5*j + 6905. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153223539.\nAnswer: 3, 7, 23, 45319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*q = 23, 3*d - 2*q = -2 - 9. Sort d, -5, 2, -6 in descending order.\nAnswer: 2, d, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -155, -1\/6 in descending order.\nAnswer: 5, -1\/6, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1535 by -5.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**3 + 3*w**2 + 15*w + 3516. Calculate s(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653698 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -14, 3, 2 in increasing order.\nAnswer: -14, -9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 50*u**3 + u**2 - 9*u - 6. Let c(y) = 97*y**3 + 3*y**2 - 21*y - 14. Give 2*c(h) - 5*k(h).\nAnswer: -56*h**3 + h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-10 + -13) - (-6 + -36 + 26).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1014*p**2 - 16361 + 16361)*(-7*p**3 + 4*p**3 - 7*p**3).\nAnswer: -10140*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by 6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*u - h, -4*u + 3*h - 24 = -7*u. Solve u*m + 6 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241 times 41327\nAnswer: 9959807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0*h**4 + 1\/60*h**5 + 3*h - 5\/3*h**3 + 0 - 2*h**2. Let g(z) be the first derivative of f(z). Determine g(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0\/(-5 - -3))\/(-2))\/2. Is 199 + 2 - m\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*a - 2, 4*v = -0*v - 4*a + 8. Let q = -29 - -30. What is the closest to v in 4\/3, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 1114*f\/7.\nAnswer: 2*f*(f - 557)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 12:38 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 177*n + 576. Calculate y(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 3*y**6\/2 - 5*y**2\/2 + 35. What is the second derivative of k(l) wrt l?\nAnswer: 180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551607 is divided by 451?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -268, -281, -294, -307?\n\"Answer: -13*g - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -520 + 523. Suppose w - 23*s + 21*s = 694, -a*w + 2*s = -2098. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 + -108. Which is the closest to -0.1? (a) -0.1 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7097\/11 + -645. Suppose 16 = 5*p - 3*v, 3*p + 2*v - 2 = -0. Let d = 1 - p. Which is the second smallest value? (a) 2\/9 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 - 1902*z**4 - 13381*z**3 + 34362*z**2 = 0.\nAnswer: -9, 0, 2, 1909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 3, -0.0352, 1\/3 in decreasing order.\nAnswer: 3, 3\/2, 1\/3, -0.0352","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m = o - 82, 3*o = -12. Suppose -m - 2 = -9*y. Let x(l) be the second derivative of -l**3\/6 - 3*l**2 + l. Give x(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h + 87. Let r be x(5). Let c be -16 - -2 - (-14 + r). Put -4, 3, c in decreasing order.\nAnswer: 3, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 5*u)*(u - 3 + 3)*(0 - 4*u + 0).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from evmnnqve?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1523.2*3743\nAnswer: -5701337.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*n + 19, -2*p - n + 0*n + 15 = 0. Suppose p*g = -0*g + 2*g. Solve -5*t - 1 - 14 = g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5780 and 880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67381800 rounded to the nearest 100000?\nAnswer: 67400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15808 is divided by 259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 6, -4\/13, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let v = 5 - n. Suppose -4*m = v*l - 16, 4*m - l = -2 - 2. Solve m = -3*g + 6*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*z + 70, z - 468 = 2*q - 240 - 203 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 10 = -11*g. Suppose 5*o + 466 = -g*u + 1591, 0 = -2*u - o + 445. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**4\/12 - 2*s**3 + 8*s**2 - 2*s. List the prime factors of o(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650455974 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 439335\nAnswer: -16255395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 77 in 532, 0.17, -5\/2?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 397\/4 + -17833\/180. Calculate the common denominator of 33\/80 and y.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -535 - -6?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228115*k - 227701*k + 20700 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/3))\/x)\/((x**(1\/5)*x)\/x)*x**(-6)\/x**2 assuming x is positive.\nAnswer: x**(-128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1 (c) -81 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 7*i**2 - 14*i + 8.\nAnswer: -(i - 4)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 302 and 0.1837.\nAnswer: 302.1837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 2*m - 3. Let x be k(3). Let i = -26 + 38. Let a be (2\/i)\/((-6)\/(-12)). Is x less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 2)*(-5 + 5 + 2 + (2 - 4 + 1)*(-3 + 2 - 1) - 20 - 63 + 20)*(-n**3 + 2*n**4 + n**3) as a*n**3 + t*n**4 + i*n + f*n**2 + v and give t.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140\/11? (a) -2 (b) -1 (c) -16 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147726\/615525)\/((-666)\/(-50))?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 840 + -648. What is the smallest common multiple of 69 and f?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:02 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 1 = r, 3*r + 3 = v + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.036 - 0.236. What is the second smallest value in 4, -6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31591 divided by -2?\nAnswer: -31591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2572 + 19015 = 63*h. What is the highest common divisor of 1421 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663 + 332 + 331 + u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-12)*3*(14 + -4). Suppose w = -2*a + 219, -3*w - 891 = -7*w - f*a. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.5 (c) -4\/83 (d) 3713\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)*m*m*m)**(7\/2)*m*m\/(m\/m**(2\/9))*m**28 assuming m is positive.\nAnswer: m**(1756\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813638 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) 2\/21 (c) 9.39 (d) -2.969 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -4767?\nAnswer: 8\/4767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/15, -2, 25\/2, 0.5, -353?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5925 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/43)*i**10)**(-11) assuming i is positive.\nAnswer: i**(-5225\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**4 + 536*x**3 - 256*x**2 + 2*x wrt x?\nAnswer: 48*x + 3216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5759.539 kilograms?\nAnswer: 5.759539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 2 - 2)*(-8 + 4 + 3) - 2*z + 2 - 2 + (-2 + 1 + 3)*(-z + 3*z - 4*z) + 2*z - 6*z + 2*z + 2*z - 2*z + z + 2*z - z + z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 4*m**2 + 5*m - 2. Let t(y) = -1. Let q(n) = -s(n) + 2*t(n). Let v(a) = 4*a**3 + 7*a**2 + 9*a - 1. Determine 7*q(r) + 4*v(r).\nAnswer: 2*r**3 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*(-600)\/(-1050)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1000111110?\nAnswer: 1000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnpx when four letters picked without replacement from bcnbnnbbxxp.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 780 - 776. Let n(t) be the third derivative of 1\/30*t**5 + 0*t**x + 0*t - 10*t**2 + 0*t**3 + 0. Let p(r) = 2*r. Calculate p(n(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92971664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(99) + sqrt(99)) - (sqrt(99) - (sqrt(99) + 0)*-3))**2.\nAnswer: -180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*b + 5 = -3, 5*x - 2*b - 18 = 0. Let m(d) = -2*d**3 - d**2 - 3*d - 2. Let v be m(-2). Solve 0 = -x*l + v - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.126 from -978894.597.\nAnswer: -978894.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1211, -1\/6, -4, -3, -2, 0 in decreasing order.\nAnswer: 0.1211, 0, -1\/6, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -322*c - 332. Does 24 divide h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 61*m**2. Let x(p) = 2*p. What is x(v(b))?\nAnswer: 122*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = -19*z + 341. Let n(f) be the third derivative of 0 + 0*f - 1\/12*f**4 - 1\/30*f**5 + 1\/20*f**z - 1\/6*f**3 - 6*f**2. What is n(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -50452?\nAnswer: 50453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-44)*72 - 342\/627.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - 106. Let g = -125 - n. Sort 3, 0, g, 0.1 in decreasing order.\nAnswer: 3, 0.1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 28 + 18)*(-3*c + 2*c + 2*c).\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 22 = -2*o, -o + 2*o + 13308 - 13292 = 2*p + p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 1\/2, 4, 729, 4\/9, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 80*i**2 + 405*i - 630.\nAnswer: 5*(i - 7)*(i - 6)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((5 - 0) + -9 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 - 35 + 0*s + s - 4*s + 5*s + 3*s + (1 - 1 + 1)*(0 + 0 + 2*s) + s - 2*s + 0*s.\nAnswer: 6*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3 + 99220155*x**2 + 820386348468225*x - 4101934222845375 = 0.\nAnswer: -16536695, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 65*p**3\/3 + 50*p**2 - 60*p - 201. Suppose w(s) = 0. What is s?\nAnswer: -2, 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/19, 404.3, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9501 - 9500. Let t = 0.2 + -2.1. Put -1\/3, 4, t, d in descending order.\nAnswer: 4, d, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/20 + 2*k**2. Let p(w) be the first derivative of 8\/3*w**3 + 0*w**2 + 0*w + 53. Determine a(p(v)).\nAnswer: 192*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s - 1. Suppose 4*p + 5*k - 37 = 0, 8*k - s*k = 2*p + 14. Solve -p*g + 4 = -5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 - -102?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/18*(28 - 19). Is (6\/h - 342\/(-54))*6477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -11, -745?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42214 or -42213?\nAnswer: -42214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 6. Suppose 0 = 3*h - 5*h. Let x be 0 + (h - 0) - -20. Solve -x = -3*j - n*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/((1\/(-312))\/((-68)\/102)). Let f = 5375 + d. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52885 = -25*c + 53935 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -12 - (359 - 330)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-255)\/(-1190))\/(9*(-6)\/441).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2977817728 to the nearest integer?\nAnswer: 54569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -34, 4, -2.\nAnswer: -34, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-44)\/6*(-9)\/2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 2*r**2 - 2*r - r - 1 - 2*r**3 to s*r + t + o*r**2 + b*r**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/7)\/(2\/(-7)). Solve 0*s - c*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*g - 13*g. Solve g*i - 3 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150241 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + d + 2*d + 8080 = 0, 2*p - 3221 = -d. Suppose 0 = -2*w - w - 3168. Let g = p + w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -641, 5, 54 in decreasing order.\nAnswer: 54, 5, -12, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*j - 36. Let a(s) = 11*s - 28*s + j + 18*s. Let c be a(-8). Solve -3 + c = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -537271, -1074542, -1611813, -2149084, -2686355?\n\"Answer: -537271*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 2*h - 6*h - 11, -4*w = -3*h - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/819*297\/24?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 5*b - 23 = -18*h, -4*h = 2*b - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*p. Suppose 0 = -2*k + 35 - 3. Let z = k - p. What is the highest common divisor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2 + (-3 - -7) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 25 + 55 = 0. Suppose -3*v + 8*v = 40. Suppose -c = -h - 3*d + 7*d, v = -4*d. Solve 4*q - 4*p + 2 + 26 = 0, 2*q = -4*p - h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 4*t + 0*t + 4*t + 1 - 1 + (-2*t - 4*t + 4*t)*(-3 + 5 - 3) + 0*t - 2*t - 2*t to the form o*t + d and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*11571754.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/17? (a) 0.5 (b) 0.4 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-18) + ((-1356740)\/(-36))\/35 is divided by 58?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 33 = -3*l. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -505 - 3?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.03 (c) 18.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 0.2. Sort h, 4, 0 in decreasing order.\nAnswer: 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k**2 - 250*k**2 + k + 0*k.\nAnswer: -225*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 11774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/1209977 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39147 divided by -4?\nAnswer: -39147\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/9)*w)\/(w\/(w**(-9)*w*w)))**(-9\/5)*w\/(w\/w**2)*w**(4\/9)*(w**(-3\/2)*w)\/(((w**(1\/13)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(21373\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20115, -40236, -60357, -80478, -100599, -120720?\nAnswer: -140841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/17 or -2?\nAnswer: -50\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215 + -204?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -28. Suppose 0 = -0*k + k - 5*m - 26, -4*k = -m - 9. Is (-5265)\/(-21) - (k - x\/7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**6*r))**(1\/59) assuming r is positive.\nAnswer: r**(-6\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, q: 1, y: 11}. What is prob of sequence eqeq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 254*p**7\/21 - 1771*p**4\/3 + 1108*p + 1. Find the third derivative of w(u) wrt u.\nAnswer: 30480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 5:35 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 + 265 = 4*b. Let r = 332 - b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a milligram in micrograms?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119044831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 4*f)*(-3 - 7*f + 8*f + 5*f)*(3 - 2*f**2 - 3).\nAnswer: -24*f**4 + 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 8. Let g(r) = -r**3 - 9*r**2 - r - 2. Suppose -2*u + 3*n - 17 = -5, -4*u + 2*n - 32 = 0. Let a be g(u). What is the units digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 21*s**2 - 1280*s - 79. What is q(61)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2796 divide 89005068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 323?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 407*s**3\/3 + 15*s**2\/2 + 60*s - 2727. What is the second derivative of m(g) wrt g?\nAnswer: 814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n**5\/2 + 2095*n**4\/2 - 7593*n**3 - 56074*n**2 - 40948*n - 7920 = 0 for n.\nAnswer: -90, -4, -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 66. Let k(q) = -q**3 - 8*q**2 + 4*q + 8. Let a be k(-8). Let u = a + z. Are u and -15 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/19 - (-100296)\/(-2394))*2\/4\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439947777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9664, 0, -1 in decreasing order.\nAnswer: 9664, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38984 - -38983.8. Let o = 0.04 + 19.96. What is the closest to p in -3, o, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2699\/(-14)*(-4)\/(-3). Let r = -257 - p. Let g = 2\/7 + r. Is 1 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92765\/9 - 10307. Let x = -1 + -4. Sort h, -13, x in increasing order.\nAnswer: -13, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 28 - (5 + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 72*w - 90. Let u be f(34). Which is smaller: 52 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -385, -738, -1091, -1444?\n\"Answer: -353*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -446067 (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/2144396877?\nAnswer: -2\/2144396877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/7, -1, -47.9 in decreasing order.\nAnswer: 5, 1\/7, -1, -47.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3030*x = -69*x - 272412 for x.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 14*b**2 + 17*b + 4. Let w be m(-13). Let r = 49 + w. Put r, -1, -5 in ascending order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2701, -21485, -72455, -171703, -335321, -579401, -920035?\nAnswer: -1373315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*q = -308*q - 153924. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 19646468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3031111220 - -11?\nAnswer: 3031111231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3908 = -910*n - 60328 for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)*g**(-3)*(g**7)**(1\/35) assuming g is positive.\nAnswer: g**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260896 by 65224.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6659700, 6659697, 6659694?\nAnswer: 6659691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 4:18 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946 is divided by 379.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z. Suppose -a + 4 - 1 = s, -4*a - 2*s = -22. Suppose 16 = 6*k - 2*k + p, -2*p + a = z. Solve -20 = 4*q + 4*l, k*l + 15 = 5*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 84. Let m be h(-23). Let a(c) = -c + 20. Let l be a(m). Solve l*z - 3 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 29. Let i be c(13). What is the tens digit of (-2)\/(-4)*i*(-18036)\/162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*w - 14, w = -4*s - 1 - 11. Let y be 18\/w*40\/12. Let o be (-1)\/(-3) - (-5)\/y. Sort 1, o, -1.\nAnswer: -1, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26867 - 2.06867. Let z = -9 + 14. Sort -4, z, -1\/5, l in increasing order.\nAnswer: -4, l, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643157 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 3*t + 18 - 18.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188 and 14?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 169*o**2 - 155*o**2 - 2*o + 0*o + (o - o + 2*o)*(3*o + 0*o - 2*o) + 3*o**2 - 3*o**2 - o**2.\nAnswer: 15*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-37)*x)**(-1\/45) assuming x is positive.\nAnswer: x**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4 + 5*(0 + sqrt(72)) - (-5 + sqrt(72) + -1*sqrt(72) + 0)) + -1 + 3)**2.\nAnswer: -5427 - 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-12))\/(16\/12). Let u = 707\/5 - 141. Which is the nearest to 1\/3? (a) u (b) 3\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -29 - 54) + 52?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (550\/(-75) - -7)\/((-2)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven quarters of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -245*v**3 + 559131790*v**2 - 319503820*v + 45643400 = 0.\nAnswer: 2\/7, 2282170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - 332136\/5032)*111?\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6385745703?\nAnswer: 3, 179, 181, 65699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001101110010110 + 1010011001?\nAnswer: 1000001111000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 25*f - 1 + 14*f + 5*f + 6*f + 3.\nAnswer: 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 290?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 11. Let a be y(6). Is 1\/15 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 13. Let k(x) = -5*x - 4. Let j be k(-2). What is the units digit of p(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-28 + (2 - -14) - 8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -16)*23\/805*14. Let d be (3\/4)\/((-4)\/(-32)). Calculate the greatest common factor of o and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 2. Let t(x) = -x**2 + 2*x + 4. Let o be t(3). Let n be i(o). Suppose n*j = 10*j - 35. Solve -j*z + 12 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -5?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -39*l - 56. Does 18 divide k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(-1406*k**3 + 2354*k**3 - 927*k**3 - 302*k) to j + x*k**3 + p*k + s*k**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - ((-10)\/(-2) - 0\/1). Suppose 99*n - 107*n + 24 = g. Put 0, n, -3, 7 in descending order.\nAnswer: 7, n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -401 or -408?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(-3*v + 5*v + 0*v)*(-v + 5*v - 5*v)*(19*v + 33*v - 11*v) + 0 + 0 + v**3.\nAnswer: -163*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215 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: Solve a - 17 = 3*m, 4*a + 1683 = -m + 1699 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**7\/420 + y**5\/120 - y**3\/2 + y**2. Let w(t) be the first derivative of x(t). Find the second derivative of w(g) wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 64 = 14*a. Let g = a + 70. Suppose -g = -3*q, o - 9951 = 3*q + 353043. Round o to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 1, q: 3, i: 2}. Give prob of sequence ii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -14)*2\/20. Let i = -1\/93 - -32\/93. Which is the second biggest value? (a) y (b) i (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 16*v**2 - 74*v - 88.\nAnswer: 2*(v - 4)*(v + 1)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -20. Solve -5*o - b = 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -67 (c) -11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1724 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*a**6 + 5*a**4 + 310*a**2?\nAnswer: 7080*a**3 + 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-374)\/33))\/((-6)\/88).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.256672 - -0.256672. Let j = -0.4 - -0.2. What is the third smallest value in a, j, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -985895622, -1971791246, -2957686870, -3943582494, -4929478118, -5915373742?\nAnswer: -6901269366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434090187.\nAnswer: 3, 48232243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 5*t**2 + 3*t - 1. Let b be k(-4). Let g = 16 - 11. Suppose 2*x + 2 = 0, -g*y - 3*x = -x - 8. Solve y = -o + b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 19*w**3 + 3*w. Let l(u) = 96*u**3 + 16*u. Determine 16*g(s) - 3*l(s).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l - 5*t = 22328, -5*l - 5*t = -37280. Suppose l + 277 = 12*c. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 16*p + 65. Give b(4).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((15 - 1) + -25 + 12)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*i - 3366*i**2 + 3*i**3 - 42*i - 2*i**3.\nAnswer: i**3 - 3366*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 14*k**2 - 2*k - 6. Let q be t(-4). Let p = -98 + q. Factor 2\/5*c**2 + 0 + p*c.\nAnswer: 2*c**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + u**2 - u + 1. Let t(x) = -1985*x**3 + 6*x**2 - 6*x + 6. Determine -6*o(p) + t(p).\nAnswer: -1973*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 24)\/(-2 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -5*o**4\/24 - o**3\/3 + 14*o**2. Find the first derivative of l(h) wrt h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r = 32*r - 87*r + 1035 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4236 + 4235. Let v = -2.3 + 2. Let n(d) = 24*d - 49. Let i be n(2). Which is the nearest to i? (a) v (b) 6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92861314 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 0 + 0 + (-2 - 3*m + 2)*(4 - 5 + 2) - 2*m + 3*m + 2 + 0 to the form h*m + c and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, s: 3}. What is prob of sequence yss?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -20. Suppose 94 = 5*l + 39. Calculate the remainder when q is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2. Suppose -3*d = m - 10, 5*d = 5*m - 6 - 4. Let j(y) be the first derivative of 0*y**d + 0*y - 1\/3*y**3 + 1. What is j(h(g))?\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143678 - 21*d**2 + 143697 + 4*d**3 - 2*d**3)*(-13*d**2 - 9*d**2 + 2*d**2).\nAnswer: -40*d**5 + 420*d**4 - 380*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 374969363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - -99. Suppose 2*p + 2*o + 2 - 60 = 0, k*p + 3*o = 120. Factor -p + f + 21 - f + 3*f**2.\nAnswer: 3*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/7*(5120\/(-15) + 4). What is the highest common factor of l and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 1, j: 2, e: 1, m: 2, u: 2}. Give prob of sequence utm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -241 and -0.2.\nAnswer: 48.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4899180 - 4899180 - 25*c**3.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 3*i - 187. Give n(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13229586 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2. Let f(t) = t - 9. Let h(y) = 2*f(y) + 9*w(y). Let i(n) = -n - 7 - 9 + 15. Let x(p) = -21*p - 27. Let r(o) = 54*i(o) - 2*x(o). Give h(r(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 30 = 48. Let k = m + 55\/2. What is the closest to 2 in -2\/9, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89116 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 - 9*p**2 + 19*p + 37. Let z be q(-4). What is the highest common divisor of z and 5310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -144\/7 - 4*x**2 - 2\/7*x**3 + 136\/7*x = 0.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - sqrt(171)*-2*-2)\/(sqrt(9) + (1*sqrt(81))\/sqrt(9)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001352438 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -8)*((96\/(-50))\/(-12))\/(-6)*2?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23124 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -77508.5 and -0.12.\nAnswer: 9301.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from yyyyyfffyffyyyyyyf?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30489 + 1193192327\nAnswer: 1193161838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Let v be (-2)\/(-8) - 2\/r. Suppose -7*b = -b - 12. Do b and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/p**7))*p**(3\/7))**35*(p**(8\/5)\/p*p**(-3)*p)**(-7\/4) assuming p is positive.\nAnswer: p**(-3851\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 < -23646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1112 - -2196. Suppose f - 5*f - t = 0. Let r = 494 + f. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.7 (b) -4 (c) 2 (d) 1\/60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 22 = 137. Suppose -r = -z - 4*z. Let j = z + -13. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8857 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2614073.\nAnswer: -3\/2614073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 21*v + 63 = 4*n, 3*n - 5*v - 56 = 0. Solve -19*b = -n*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41922.0864 + -1.\nAnswer: 41921.0864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, -2, -11, 14 in descending order.\nAnswer: 14, -2, -11, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*b**2 + 204*b**2 - 390*b + 203*b**2 + 196*b + 194*b.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**3 - 9*u**2 + 4*u - 17. Let l(d) = 2*d**3 + d + 1. Let n(j) = a(j) + 5*l(j). Let m be n(8). Put -1, -3, 3, m in decreasing order.\nAnswer: 3, -1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 260 - 385. Let y = z + 146. Calculate the highest common factor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 34. Let c be (32\/(-10))\/(8\/40). Let y = c - g. Solve -y*q = -4, 8 = d - 3*d + 3*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - -344 - (-30)\/5 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -21*m - 985. Give r(-47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 75914295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 18. Let k(i) = 4*i + 17. Give -3*c(w) - 4*k(w).\nAnswer: -w - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(9\/(-6))*4. Let z(q) = -4*q + 120. Suppose 11*y = 4*y + 203. Let x be z(y). Solve 2 = -a - x*j + l, 0 = -3*a - 4*j + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1256853 by -871.\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1080492 is divided by 4867.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007852 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1482 = -19*i + 1254 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*32\/(-12). Suppose -i = 2*g + 8. Let b = 12 + g. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463389083?\nAnswer: 83, 5583001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30462 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**5 + 8*g**3 - 4*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/76)\/(604\/(-298376))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 1507956*l**2 - 1507960*l.\nAnswer: 4*l*(l - 376990)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Let x be z(1). Let k be 16*(-25 + (-4 - -6))\/(-1). Suppose 4*p - k = -3*c, x*p - p - 497 = -4*c. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 342\/(-6)*84\/18. Let w = -266 - n. Solve 3*g - g - 2 = w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11652528 or 11652529?\nAnswer: 11652528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 11) to base 2\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -25456\nAnswer: -280016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2100100110 (base 3) to base 6\nAnswer: -553450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593392812?\nAnswer: 2, 3, 49449401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23928791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (25 - 14) - (8 + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52663 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -22*p**3 + 37. Let f(a) = -23*a**3 + 38. Let d = 48 + -53. Let s(b) = d*f(b) + 6*q(b). Differentiate s(i) with respect to i.\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371 + 91228*w + 371.\nAnswer: 91228*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-7 - 0) + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/40 + 251970\/50 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**2 + m**3 + 133*m - 5*m**2 - 134*m + (-4 + 7 + m**2 - 4)*(3*m + 0 + 0) in the form q*m + w*m**3 + c + s*m**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890892119.\nAnswer: 3, 630297373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8.8 * 1\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.035 (b) 2 (c) -302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*a - 15 + 1, 0 = -3*a + 6. Suppose 2*b = 33 - 173. Calculate the remainder when 10 is divided by (v\/(-4))\/((-5)\/b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2\/10)*1. Let x = -2\/27 - 16\/27. Which is the biggest value? (a) x (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2151516 divided by -41\nAnswer: 52476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 366\/(-18) - 9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.6, 366360, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from ssssyysss?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -386 + 406. Let r(n) = 6*n - 12. Calculate the remainder when r(10) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.7 - 23. What is the nearest to -0.1 in q, -1, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuujjuuuuuuuuj. Give prob of picking 2 u.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 60, -2\/219 in descending order.\nAnswer: 60, 2, -2\/219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - h + 1. Let v(w) = -10*w**2 + 85*w + 230. Let k(x) = -15*q(x) - v(x). Factor k(b).\nAnswer: -5*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894903711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/223, -1\/18, 3, 2\/6299.\nAnswer: -1\/18, 2\/6299, 1\/223, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047387019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 2*r + 2*p - 49, -5*r + 4*p + 413 = 0. Let h = 0 + r. Let j = -6142 + 6153. What is the remainder when h is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2685 at least 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14020513 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 1, p: 1, r: 1, o: 1, c: 2}. Give prob of sequence cep.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*z - 319*z + 158*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*m = -110884, 0 = 139*m - 140*m. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = i - 7, -3*g - 12 = 5*i - 43. Let s = g - -2. Sort -2, 3, s in decreasing order.\nAnswer: s, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6310196 and 8?\nAnswer: 12620392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-108) - -3*-3*(-1)\/36. Is -29\/7 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(28)\/sqrt(4) + -1) + 1*sqrt(7) + 5 + sqrt(42)\/(sqrt(6) - sqrt(24)) + ((-2*sqrt(308))\/sqrt(11))\/(sqrt(64)*2))**2.\nAnswer: 6*sqrt(7) + 319\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r + 5*t - 715, -5*t = -4*r - 574. Let w = -123 - r. Calculate the highest common divisor of 288 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57941869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -9. Let v be a\/17*7\/(-14). Sort v, -2\/9, -2 in ascending order.\nAnswer: -2, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**4 + 504*u**3 + 2*u**2 - 7*u + 257?\nAnswer: -48*u + 3024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 588*m + 44101. Give y(-75).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 - 437271*w**2 - 15934045920*w - 15933608652 = 0.\nAnswer: -72878, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, k: 9}. What is prob of picking 1 f and 3 k?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39673 is divided by 6612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3\/3 - c - 2. Let r = -21 + 37. Let a = -17 + r. Determine f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4120 and 5?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 22 = 36*p + 5*d, 3*p + d - 82 = 0. Suppose -16*r - 99 = -p*r. Solve r = -a + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -36. Calculate the remainder when 65 is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, j: 4, y: 3, t: 9}. What is prob of sequence yjgy?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200)*-3 + sqrt(52))\/sqrt(4).\nAnswer: -29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*j**3 - 73*j + 42*j + 31*j.\nAnswer: -274*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 16. Let w be 14\/7 + g + 0. Factor -1\/3*p**w + 0 + 0*p - 1\/3*p**2.\nAnswer: -p**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3185 and 113\/364.\nAnswer: 12740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 8*g**2 - 4*g - 8. Let b be c(-8). Let z = b + -48. Let m = z + 34. What is the greatest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - (-168)\/21)\/((-2)\/4). What is the second smallest value in 68, z, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/17, -7, -0.2, -13\/8, -3\/7?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4*6\/(-3))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3955800 to the nearest 10000.\nAnswer: 3960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 - 222 + 60 + 101 + 61.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 42 + 16 - 119 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y - 1\/3*y**3 + 0 + 0*y**2 - 1\/3*y**4.\nAnswer: -y**3*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2180*j**2 + 210191*j**6 + 0*j**5 + 6*j**5 - 209964*j**6 - 1470*j**2 wrt j.\nAnswer: 27240*j**3 + 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4481\/3 + 1510. Let d = -27\/152 + -8073\/760. Calculate the common denominator of d and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(6 - (-49)\/(-7)). Let u(q) be the second derivative of o + 0*q**2 - 5*q - 1\/6*q**3. Let d(p) = 13*p. Determine u(d(z)).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 6*y**2 + 4*y - 3. Let l be f(5). Let n be (-59)\/3 - 14\/l. Which is smaller: n or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17423 <= -17425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7187 (base 12) in base 6?\nAnswer: 133051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11304 and -4.\nAnswer: -45216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - o + 11*o + 2*o - 2*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -510, -505, -488, -453, -394, -305, -180, -13?\n\"Answer: j**3 - 2*j - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 39.867 millennia?\nAnswer: 478404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 371, -0.3?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Suppose 6 = 2*b + b. Let g(a) = 2*a - 7 + 3 + 1 + b*a. What is -g(o) - 6*l(o)?\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576 divided by 5.\nAnswer: 576\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-8) - (-605)\/40. Suppose 5*o = c, 0*j = 2*j + o - 1577. Suppose 3*r = 5*f + j, -3*r + 1032 = -f + 253. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2953 + -1197. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181, 1423, 4787, 11335, 22129, 38231, 60703?\n\"Answer: 177*g**3 - g**2 + 6*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69832771867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1040142 (base 6) to base 12\nAnswer: 26052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.2656 and -92574.\nAnswer: -92564.7344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 673251*0.3\nAnswer: 201975.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1559*f + 3478*f - 2 - 8534*f + 3485*f.\nAnswer: -12*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, f: 2, z: 1, y: 1}. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/28 + 1\/12. Which is the smallest value? (a) -1\/6 (b) -0.3 (c) v (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.3, -30, -1\/48, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n = 67*n - 60*n - 252 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*o - 1357, -4*z + 2*z - 913 = -5*o. Let h(t) = 15*t**3 + 8*t**2 - 3. Let v be h(4). Let p = z + v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 659 - 464. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 3:23 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/7 and 29\/934?\nAnswer: 6538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 251, 1966, 6737, 16124, 31687, 54986?\n\"Answer: 260*q**3 - 32*q**2 - 9*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 10*q - 9*q - 71, -2*u = 5*q - 316. Solve 22*o = 48 + q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392314, 784617, 1176906, 1569175, 1961418, 2353629, 2745802, 3137931?\nAnswer: 3530010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -195*s**2 + 8*s - 8. Let o(v) = -126*v**2 - 3*v - 105. Let k(c) = 379*c**2 + 7*c + 290. Let m(j) = 4*k(j) + 11*o(j). What is -5*h(t) - 8*m(t)?\nAnswer: -65*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 451*k + 461*k - 921*k + (-2*k - 8 + 8)*(3*k - 4 + 4) in the form h*k + p + y*k**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/13 - 80*g\/13 - 6888\/13.\nAnswer: 2*(g - 82)*(g + 42)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*d = -d + 18, -74 = -3*b + 5*d. Let z = 8 - 4. Suppose 0 = z*h + 6 - 34. Calculate the remainder when b is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 188544?\nAnswer: 942720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -548 and 4?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -62*i**2 - 99*i - 114. What is l(-5)?\nAnswer: -1169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/2 + 4*i**3 - 75. Factor d(s).\nAnswer: 2*s**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*b + 445, q + 894 = -4*b - q. Let i = 680\/3 + b. Factor -40\/3*a - i - 50\/3*a**2.\nAnswer: -2*(5*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*5 - (8 + 83\/(-1)). Determine y so that -2*y**2 + 29*y - 4*y + h - 2*y**2 + 7*y = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*v - 22, 4*d + 7 + 0 = v. Suppose 0 = h + 4*h - v. Let s be (3\/(-27))\/((-1)\/h). Sort 0, 4, s.\nAnswer: 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 0.5 (c) -0.128 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 31 = -4*d + u, -3*u = -5*d + 29. Solve 5*c + 1 = -d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 276056968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 6, -3, 3 in ascending order.\nAnswer: -6, -3, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -469 - -474. Solve c*w = 5, -3*w - 6 = 3*v + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222930618167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/48)\/(-1*(-4)\/(72\/(-22)))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2678490?\nAnswer: 2, 3, 5, 29761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-10))\/((-63)\/28))\/((-6)\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 160*p**2 + 5*p - 4. Suppose 2*i = -0*i - 5*i. Suppose i = 4*l + 11 - 15. What is the units digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*t**5 - 2*t**4 - 26*t wrt t?\nAnswer: -400*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:31 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = -0*o - c, 4*c = 5*o + 16. Solve 4*b - 2 + 22 = o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6116968 = -84*b - 20*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -b?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 g when three letters picked without replacement from muuumaaummmmg.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 4, x: 2, s: 2, b: 7}. Give prob of sequence xbf.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.0574 rounded to one dp?\nAnswer: -146.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v - 15 = 0. Let m = -461 - -463. Which is the nearest to 4? (a) 0.3 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99*-7.\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 586220 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: What is -4505954 (base 10) in base 4?\nAnswer: -101030011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 24. Let b = m - -6. Put 2, 5, b in ascending order.\nAnswer: b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2758*s + 2742*s + 558 = 5469*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -5, -4, 0, -1 in decreasing order.\nAnswer: 0, -1, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 13 = -2. Let t be ((-14)\/(-70))\/(4\/(-56)). Is t at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8907*p - 148899 = -3962*p + 128009 - 83873 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-28)*(998 + -1000).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/24)\/(1\/(-4)). Let z = a + -1. Solve -g + z*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 49 + 4 + (-7 - 1). Suppose p + 2*p - u = 0. Let a = 23 - p. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 19*p - 28. Determine n(13).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/32 and -63\/88.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 + 379 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*c + 2*c - 2*c)*(-7*c - 15*c + 89*c + (3*c - c - 4*c)*(6 + 0 - 4)) to k*c + n + t*c**2 and give t.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 4*d**2 + 2*d - 1. Let z be x(-3). Let g(b) = -5*b**z - 4*b**2 - 6 + 7*b**2. Let m(p) = -4*p**2 - 11. Calculate 11*g(h) - 6*m(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (65\/20 - 4) + (-295)\/(-4). Calculate the highest common divisor of j and 1825.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -51\/143 (b) 2\/3 (c) 5 (d) 2\/15 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/7 - 2280*k**3 + 15904128*k**2\/7 + 31872128*k\/7.\nAnswer: 4*k*(k - 1996)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72875.\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Which is the closest to 0? (a) l (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 0) + -12 - 35 - -7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 12034 and 12017 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-242)\/(-726))\/((-1)\/(4\/14)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*61\/((-7)\/2 + 1). Let w = t - -174. Let v = -347\/5 - w. What is the nearest to 1\/4 in v, -5, 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 19. Let h = j + -17. Let n = -15.00000042 + h. What is n rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.97, -0.4, 3, -27, 466, 2 in ascending order.\nAnswer: -27, -3.97, -0.4, 2, 3, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 4. Let a be q(-7). Suppose -5*w - 2*m = -19, 10 = 2*w - 3*w - 5*m. Suppose 5*x + 230 = -w*k, 9 = a*k - 3. Round x to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**2 - 12282204*m - 110539593 = 0.\nAnswer: -4094059, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 10 = -11*c, -488763*p = 2*c - 488761*p + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 1. Let g(u) = 5*u**2 - 5*u - 5. Let o(n) = 4*n**2 - 5*n - 4. Suppose -78 = 4*y - 30*y. Let w(c) = y*g(c) - 4*o(c). Give -2*w(j) - 5*z(j).\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 303 - 1533 = 0. Let b = u - -580. What are the prime factors of b?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 259, 1884, 5957, 13594, 25911, 44024, 69049?\n\"Answer: 186*t**3 + 108*t**2 - t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzsllzgls. Give prob of picking 1 s and 1 z.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3423 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/35, -0.012, 0?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000110011010001001 (base 2) to base 16.\nAnswer: 146689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69356 and 16?\nAnswer: 277424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.323 + 4.677. Which is the closest to 0? (a) 3 (b) y (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2)*f*f*f*f)**(6\/7)\/(f**(-13)\/(f*f*f*f\/((f*f**(-3\/11)*f)\/f)*f*f*f)) assuming f is positive.\nAnswer: f**(1748\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3427972 is divided by 820?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1336 + -123?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d. Let u(b) = 1. Let c(s) = -s - 3. Let g(h) = 2*c(h) + 6*u(h). What is g(x(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1463 - 1256. Let z = 14996 - 15201.93. Let r = z + f. Round r to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 66 = i. Let r = i + 10. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 12*k**2 + 35*k + 165. Let r be d(-10). Solve -y - 19 = -r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -605\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12745525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29402174 or -29402185?\nAnswer: -29402185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-385)\/22)\/(61\/((-4392)\/480))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(39)\/sqrt(3) + 4 + (sqrt(104)\/(sqrt(8)*-2))**2.\nAnswer: 9\/4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 724 = 5*u - 406, -875 = -4*u - 5*s. What is the lowest common multiple of 162 and u?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f**2 + 5*f + 4. Let o be w(-4). Let k be o - -5 - (2 + -1). Let v = k - -57. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9158959 to the power of 1\/2, to the nearest integer?\nAnswer: 3026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 3. Let b be 1*(0 + 1 + 0). Let f = 0 + b. Calculate the smallest common multiple of t(2) and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269123696.\nAnswer: 2, 541, 31091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 1 + sqrt(12)\/sqrt(4)*1 + sqrt(9)\/(sqrt(12) + sqrt(3))*5 + -3.\nAnswer: -2 + 14*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 r when four letters picked without replacement from qrlrrrllr?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Suppose q = -0*z + 3*z. Solve z*m - 15 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64646352*z**2 + 15390294*z wrt z?\nAnswer: 129292704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -16*d**3 + 5*d**2 + 20*d - 9. Let a(n) = 3*n**3 - n**2 - 4*n + 2. Let i(k) = 33*a(k) + 6*q(k). Factor i(g).\nAnswer: 3*(g - 2)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c - 2*c)*(4*c - 2*c - c)*(2*c**3 - 3*c**3 - 6*c**3).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**3 - 3*b**2 - 3*b - 11. Suppose -278*q + 308*q - 90 = 0. Let g(o) = 9*o**3 + 5*o**2 + 5*o + 23. Calculate q*g(l) + 5*m(l).\nAnswer: 2*l**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1ca2?\nAnswer: 1c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 121 + 301 = 2*d, 4*b - 4*d + 144 = 0. Find the common denominator of (-501)\/216 + (-45)\/b and 133\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 4*j + 1. Let t be u(-2). Let i be (13 - 9) + 1 + t. Let v be 2 + i - (-5 - -8). Solve -v = 3*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*j - 126, 3*j - 90 = -2*s - 2*j. Suppose -23 = -2*d - 3*a, -19 = -d - 5*a - 4. Calculate the highest common divisor of s and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3199*l - 22318. Give w(7).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5018721ml to litres.\nAnswer: 0.0005018721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13 - 79)\/(-2) - (6 - -1). Let j(w) = -w**3 + 7*w**2 - 5*w - 2. Let c be j(6). Suppose -7*v + k = c. Solve v*n - 2*n = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 2*j**2. Let t be k(3). Let h = 10 - t. Solve 0*d - d + 5*y - 7 = 0, d - y = h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000379 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7650 and 81.\nAnswer: 68850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -17. Suppose 2*d = -r*d + 32. Let t be -8 + d - 4\/14. Which is the closest to -1? (a) -0.4 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.2 + -3.2. Which is the nearest to 0? (a) 0 (b) n (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 119310.4g?\nAnswer: 119310400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4 = 2*z. Let k = -6\/19 + 4\/19. Let l be (-2)\/4*6\/(-15). What is the second smallest value in l, k, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214434117 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (43\/(3225\/(-1284)) - -17)*-5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 16.6. Suppose 2*z + 10 = -3*r, -r = -3*z - 5 - 10. Let g be z - (2 - (-24)\/(-3)). Which is the nearest to -2? (a) g (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41\/2 + -20. What is the closest to c in -0.1, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22731, -22659, -22565, -22437, -22263?\n\"Answer: 2*d**3 - d**2 + 61*d - 22793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 143140?\nAnswer: -143144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 5*v + 978. Let g = v - -224. Calculate the remainder when g is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Let m = -4 - -6. Suppose 8 + 0 = m*l. Solve 2*j = 2*w + 8, 3*w = s*j + l*w - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 4) to base 14\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2023 (base 10) to base 4\nAnswer: -133213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**3 + 2335*x**2 - 4949*x**2 + 2488*x**2 - 260*x**4 wrt x.\nAnswer: -6240*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 1, c: 3, l: 5, u: 4, i: 1}. What is prob of sequence mncn?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -302203 (base 4) in base 9?\nAnswer: -4384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 239047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51351?\nAnswer: 3, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0.08249, 42\/17?\nAnswer: 0.08249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/((-154)\/51 + 3)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 0*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + (4 - 7))*301\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573231158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 24*l**2 - 11*l + 2. Let o be h(1). Solve 21*x - o = 18*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/117?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 948 and 474.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -813392930, -813392931, -813392932, -813392933, -813392934?\n\"Answer: -z - 813392929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -498669 and -498671 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express -17*z**3 + 11*z**3 + 2*z - z + 12*z**3 + 2*z**2 in the form w*z**2 + g*z + j + v*z**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2673511 by 3.\nAnswer: 2673511\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/137 + 75\/4247. Is v at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 + 1 = 0. Suppose 3*u + y = 0, -6*d = -2*d - 2*u. What are the prime factors of (51*(0 - 1))\/d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 2*o**3 + 2*o**3 + 5*o**2 + o**3 to w*o**2 + t + c*o + s*o**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/60 + 28*x**2 + 2*x. Let j(u) be the third derivative of 2*u**2 - 1\/24*u**4 + 0*u + 0 + 0*u**3. What is j(i(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-26)\/1560)\/(2\/(-524)) and (-40)\/(-14)*210\/(-324)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 bigger than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*2\/(16\/(-6)). Let h = -2 + 2. Put -4, h, s in decreasing order.\nAnswer: h, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*r**2 + 16*r - 384.\nAnswer: 4*(r + 4)*(7*r - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = 3*o + 4*v, -3*o = 4*v - 26. Solve 0 = -2*i - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 1\/4*q**4 + 0*q**2 + 1\/10*q**5 + 0*q**3 + 0 + 5*q. Find the third derivative of u(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3023.53 + 3011. Round x to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25022*u**4 + 28795*u**2 wrt u.\nAnswer: -600528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6 - 4*j**3 + 2*j**2 - 10 - 4*j + 1. Let o(c) = -9*c**3 + 5*c**2 - 9*c - 7. Suppose 0 = -7*p + 15 - 1. Determine p*o(x) - 5*g(x).\nAnswer: 2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*b + 76*b - 5187. List the prime factors of b.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(11*(-45)\/(-198))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**17*x*x)**(-37)\/(x**(-26)\/x*x)**(-5\/2))**(-1\/41) assuming x is positive.\nAnswer: x**(768\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d. Let h(g) = -3*g**2 - 207. Calculate h(x(i)).\nAnswer: -48*i**2 - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*n = 114, -2*n - 51 = -2*u - 1. Suppose -3*c = -4*o - 79, -c = -6*c + o + 126. Which is greater: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 115.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*(-1 + sqrt(2299)) - (5 + -1*sqrt(2299))) + (-2 + (sqrt(2299) - (1 + sqrt(2299))) + 4)*-5)**2.\nAnswer: 3300*sqrt(19) + 230125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*m - 15 = -h, -3*m - 9 = 3*h. List the prime factors of (11 + 2)*(1 + h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -10*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 257048 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*f = -604, 0*s + 3*f = 4*s - 477. Suppose 0 = 4*m + m + s. Let h be (3\/4)\/((-1)\/m). Calculate the highest common factor of 27 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 14, 33, 52?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 - r + 1. Let z(l) = -27*l - 5*l**2 - 9 - 5*l**2 - 5*l**2 + 8*l**3 + 7*l**3. Let d(a) = -f(a) - z(a). Factor d(y).\nAnswer: -4*(y - 2)*(2*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 3*p - 5. Let y be f(0). Let v be 2\/(4*y\/(-190)). Suppose 2*d + o + 7 = 3*d, 0 = d - 5*o - v. Solve d = 4*h + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 p when three letters picked without replacement from {p: 10, i: 6, b: 4}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895584470.\nAnswer: 2, 5, 11, 8141677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) 4 (c) -2 (d) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + -0.15. Let n = q + 0.49. Put 0.2, n, -0.6 in descending order.\nAnswer: n, 0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 6:34 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = -2*z. Let t(g) = -7*g - 5. Let k be t(5). Let s be (0 - (-2)\/(-5))\/((-88)\/k). Which is the smallest value? (a) z (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -746205\nAnswer: 4\/746205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h + 2. Let i(x) be the third derivative of x**4\/12 + x**3\/6 + 48*x**2. What is 5*i(a) - 2*l(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 25 = 0, 5*b - 237*q + 242*q = 310. Solve -47*x - 60 = -b*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322 - 177 + o - 4*o**3 + 214.\nAnswer: -4*o**3 + o + 359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/12 + 7*t**3\/6 - 9*t**2\/2 - 15*t. Let h be b(5). Solve d - h = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -74, -112?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from uuquuqhuhq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0937, 4, 4\/9 in decreasing order.\nAnswer: 4, 4\/9, -0.0937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 4*a**2 - 4*a - 4. Let r be p(5). Suppose 0*t = -t, r = q - 4*t. Let z(s) = 5*s**2 - s + 1. What is z(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - 538*d**2 - 99*d**4 - 559*d**2 + 2*d**5 + 1126*d**2 + 82*d + 18*d**3 wrt d.\nAnswer: 120*d**2 - 2376*d + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -139*o**2 - o - 11. Let v(d) = 2*d**2 + 1. Calculate 2*h(c) + 22*v(c).\nAnswer: -234*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 14*u + 16. What are the prime factors of n(-9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2) + 2\/(-4). Suppose a = 3*a + 4*l - 272, -j*l + 8 = 0. Suppose a = n + 2*n - 5*q, -142 = -3*n - 2*q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**4 + 3*l - 2. Let i = -26 + 15. Let m(o) = -21*o**4 - 16*o + 11. Let z(c) = i*v(c) - 2*m(c). Find the second derivative of z(a) wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48794198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5947800.71299733 + -5947801. Let h = d - -0.287. Round h to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, d: 10, k: 1}. What is prob of sequence dtt?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-120)\/(-24) + (-10)\/(-7) and (-1 - 140\/6)\/3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/10 and (-28)\/(-7) + 333\/(-48)*1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385552 is divided by 3371.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -26*v. Let p(c) = -25*c. Calculate 4*g(w) - 3*p(w).\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3423 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484289 is divided by 22651.\nAnswer: 8618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.3 - -31.37. Suppose h - 36 = -3*h. Let x be (-3)\/h + -3 + 3. Which is the closest to x? (a) -3\/8 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1275 and 9575.\nAnswer: 488325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3*a + 4*a + (-4 + 4 - a)*(-1 - 3 + 2) + 1 + a - 1)*(0 + 2 + 1)*(a - 2*a + 2*a).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 5*b**4\/12 + 13*b**2 + 32*b + 3. Let h(f) = f**2 + 5. Give 11*h(q) - 2*u(q).\nAnswer: q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 0 (c) 16519081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15 - 55 = -3*b, 5*b = -z + 64. Let j(l) = -11*l**3 + 8*l**2 + 2*l. Let g(y) = -5*y**3 + 4*y**2 + y. Let s = 73 - 79. Give b*g(x) + s*j(x).\nAnswer: x**3 + 4*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169\/195*-12*10\/(-36)?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1098.\nAnswer: 12078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -1 + 6 - (5 + (-50 - 7 - 0))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*0\/5*32\/(-64))\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 1. Let n(l) = 4*l + 13. Let z(f) = 2*f**2 + 43*f + 205. Let u be z(-7). Calculate u*n(y) + 6*w(y).\nAnswer: 2*y + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (138 - 138 - (-2 + 1 + 0)) + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.3504 (b) 4\/11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 2*p**2 - 4*p + 0 - 1\/6*p**3. Differentiate m(k) with respect to k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2223\/(-2470)*5\/3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1)*(-1)\/2. Suppose 2*u = 4*n - j - 5, -2*n + 3*u = -1. Solve -n - 2 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887863307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(1584))*-3)**2 + -6*((sqrt(1584) + -3)*2)**2 + -1.\nAnswer: -23941 + 2160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + 0 + sqrt(20)\/sqrt(4) + sqrt(5) - (sqrt(5)*2 + 1 + sqrt(5) + sqrt(5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 6 + 10. Calculate the least common multiple of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2898*k**2 + 0 + 4*k + k - 4*k + 4 + 828*k**2.\nAnswer: -2070*k**2 + k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4, -228?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 104045202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 608 = 5*v. What is the highest common divisor of 8 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 3*v - 4*v - 14 + 0*v as m + u*v and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -14. Let z(d) = -2*d**2 + 6*d - 3. Let i(b) = -b**2 + b. Let j(q) = i(q) - z(q). What is the remainder when j(v) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 1. Let n be c(-4). Suppose 2 = 2*v + 5*h, 0*h - 3 = -n*v + 2*h. What is the third smallest value in v, 1\/5, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 25*u - 268. Let b be k(-16). Let g be (-2)\/(-3) - (9 - b\/(-12)). Solve -2*z = -2*t + g, t - 8 = 2*z - 4*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -13*x**5\/20 + 7*x**4\/6 - 16*x - 6. Let m(f) be the first derivative of y(f). Find the third derivative of m(q) wrt q.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 7*j - 3. Let u be w(-6). Suppose p - 360 = -u*p. What is the greatest common divisor of p and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177.75 - 174.75. Let h = 0.8 - -0.2. Put h, g, 5 in decreasing order.\nAnswer: 5, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5746945003*y**2 - 5746945003*y**2 + 3471*y**3.\nAnswer: 3471*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35784 divided by 4473.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -932013 (base 11) in base 6?\nAnswer: -52022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22242 is divided by 1663.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.532 - 7.242. Round i to one dp.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrcrdjddccdddjjdxq. What is prob of picking 2 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1523*l**2 - 18 + 19*l - 4 + 414*l**2 + 29 wrt l.\nAnswer: 3874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 148 = 2*t, -4*x = t - 4*t + 214. Let v = -35 + t. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 31. Let o = -20.42 - g. Round o to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(4\/11))\/r)\/(r**(-1\/10)*r))**50 assuming r is positive.\nAnswer: r**(-295\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 9*r - 9. Let x(t) = -3*t**2 - 14*t + 13. Suppose -4*a + 4 = p, -7 + 4 = -p - 5*a. Determine p*s(k) + 5*x(k).\nAnswer: k**2 + 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -64.05 and -42.3.\nAnswer: -106.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -5127719 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/3 or 724189?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/141908834 and -97\/6.\nAnswer: 425726502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -653919\/4 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1 - 2*g + 6*g + 2*g - 3*g. Let q(m) = 4*m + 1. Let b be q(1). Let v(x) = -31 - x + 16 + 16 + 3*x. Calculate b*v(c) - 4*s(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 - 7*s + 23. Let p be o(5). Calculate the highest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-10))\/(14\/(-35)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 3*y + 14. Let p be b(5). Find the third derivative of 2*x**2 - 6*x**4 - 4*x**4 + 3*x**2 + 5*x**p wrt x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0650546191 to three decimal places.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -3*f**6\/4 + 111*f**5\/40 - 117*f**4\/32 + 15*f**3\/8 - 3*f**2\/16 - 1378. Suppose m(i) = 0. Calculate i.\nAnswer: 0, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 4:08 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqj when three letters picked without replacement from {j: 3, h: 2, f: 4, q: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -2\/5, -1\/4, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 689554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*3\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4953*y - 34674. What is w(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 + 30*j + 10. Let d = -90 - -89. Let f(x) = 1. Let c(q) = d*n(q) - 15*f(q). Factor c(s).\nAnswer: -5*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/5407 + -97629\/546107. Let t = g + 544\/1919. Sort 8, 5, t.\nAnswer: t, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.128 + -0.028. What is the closest to n in -6, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/(-26)*8\/(-3). Solve 0 = 3*m - c - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 divided by -129.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1, 2 in increasing order.\nAnswer: -27, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/3 - 1024*u**3\/3 - 57792*u**2 - 9466880*u\/3 + 40707584\/3 = 0. What is u?\nAnswer: -172, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/7))\/((p*p**(-2))\/p))**(-4))**28 assuming p is positive.\nAnswer: p**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(70) + sqrt(70) + (sqrt(70) - -2*sqrt(70)))*4)\/((1*sqrt(640) + sqrt(640))*-2).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 21*g = -28 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1869 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -54, -67, -98, -153, -238?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -392, -460, -528, -596, -664?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22561 and 42966.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*p - 60, -78*p + 145*v - 140*v + 166 = -0*p - 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3956471, 3956448, 3956431, 3956420, 3956415, 3956416, 3956423?\nAnswer: 3956436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 7, j: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*b - 3*p, -2*b + 1 = 2*p - 5. Let x(k) be the second derivative of 0 + b*k**3 + 0*k**5 + 0*k**2 + 0*k**4 - 1\/120*k**6 - 3*k. Factor x(y).\nAnswer: -y**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (10 + -13) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 14)*150\/225. What is the remainder when (2\/4)\/(2\/276) is divided by 43 - (62\/q - 24\/120)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -2*o + 4, 18 = 2*o + 2*j. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 24 = -93*t + 96*t, -3*t - 3*s = 24. Which is the closest to -0.2? (a) t (b) 5\/23 (c) 2\/13 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3432 is divided by 634.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24577.\nAnswer: 7, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1270139 and 481.2.\nAnswer: -1269657.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -101 + 10\/3*x**3 - 99\/2*x**2 + 0*x. Find the second derivative of f(h) wrt h.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczczzftcf. What is prob of picking 1 z and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0085643 to 4 decimal places.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420317497.\nAnswer: 701, 599597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 12*s + 11. Let t be m(11). Let l = t - -4. Suppose a + 3*u = 6*u + 2, l*u - 29 = -5*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)*i)**(-23)\/(i**(-3\/4))**(-11\/6) assuming i is positive.\nAnswer: i**(-1159\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11934927*b. Let y(z) = 111*z**2. What is y(n(u))?\nAnswer: 15811115556981519*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-180)*63*48\/28*46\/(-6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 c when four letters picked without replacement from mcmmmcmcmmmmdmdmmcc.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 14*l + 31*z + 1551 = 0, 3*z + 145 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmvldbdffdv. What is prob of sequence lf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4170*v + 4059*v - 8307*v.\nAnswer: -78*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -2)**2 + sqrt(19) + 0.\nAnswer: -31*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most 3\/2863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:50 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6537 - 369 = -3*h, -4*u + 6168 = -3*h. Is (-1 - 1)\/(16\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27309 + 2390*c**2 - 3*c + 2*c - 27309 to the form s + w*c**2 + u*c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 + 20416*z - 102055 = 0.\nAnswer: 5, 20411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56040 divided by 14010.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 + (-42)\/(-18). Solve -t*s - 9 = -0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-994)\/2485 + (-147)\/(-5) + -3 + -3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 7*w**2 + 19*w - 14. Let f be i(9). Let n be (f + 3)*(1 - 94\/(-4)). Let m be 28\/n + 18\/7. Solve 0*t + m*t = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 1, r: 2, x: 1, u: 1, s: 2}. Give prob of picking 1 s and 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(288) - sqrt(288) - sqrt(288)))**2 + -2*(sqrt(288) + -2*sqrt(288))**2 + (2 + 0 + sqrt(288))*-5.\nAnswer: -586 - 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -65, 10.2, 1, 2, 0.09, -3 in decreasing order.\nAnswer: 10.2, 4, 2, 1, 0.09, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 2*m. Let q be u(1). Is ((-3)\/((-9)\/879))\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/29754 and 2\/8265.\nAnswer: 148770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.104559 + 1.\nAnswer: 1.104559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {n: 11, v: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/2)\/(28\/(-8) + 4). Suppose -o*l = -0*l - 2855. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**3 - 20*u**2 + 15*u + 13. Let c be l(-3). Solve f + 36 = -4*k - 4*f, 0 = -c*f - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**7\/147 - 2*b**6\/105 - 4*b**5\/35 + 8*b**4\/21 + 16*b**3\/21 - 32*b**2\/7 - 25*b. Factor n(d).\nAnswer: 2*(d - 2)**3*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/620497 and 59\/3?\nAnswer: 1861491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**5\/270 - a**3\/27 - 3*a**2\/2 - 3. Let l(x) be the second derivative of v(x). Factor l(s).\nAnswer: 2*(s - 1)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 60. Calculate the greatest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1015143 - 23033?\nAnswer: 552110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 298 and 13708.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*u + 1 + 31*u + 20*u - 174*u**2 - 53*u wrt u?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -154200*o**2 + 11*o - 11. Let n be i(1). Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 13*z + 25. What is m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:24 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -159. Is 68 a factor of (3 + (y - -6))\/((-6)\/706)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - 4*j - 8. What is n(-3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1544*a - 2890*a + 7724*a.\nAnswer: 3290*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3034 - 36445\/12. Let h = 134\/27285 - 595242911\/4201890. Let o = h - -1515\/11. What is the common denominator of o and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2 - 3 - 2*p + 5*p**2 - 5*p + 4*p**2. What is the hundreds digit of y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:09 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 63 = -81. Suppose -q*h - v - v + 8 = 0, -v = -3*h + 14. Solve 5*r = -2*b - 10, -5*b + 2*r + h = -10*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10513 is divided by 210.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 117693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -9*n. Suppose -4*z + 17 + 203 = n. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 11*o - 79. What is the remainder when d(10) is divided by 71?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 2*s + 1\/4*s**4 - 1\/2*s**2 + 0*s**3 - 2. Calculate n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/9 + 124798*p\/9 - 2746040\/9.\nAnswer: (p - 22)*(p + 124820)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -37. Let w be 3\/t - (-22)\/12. Suppose 3 + 9*i**3 - 2*i**2 + 1 - 2*i - w - 7*i = 0. What is i?\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 48, -0.1, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 12. Let p be c(10). Find the first derivative of -b**2 - 18 - 17*b**2 + 20 - 5*b**p wrt b.\nAnswer: -46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8330331 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/725 and -121\/812.\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -15*m - 13. Let g(t) = -13*t + 6. Let y(s) = -35 + 17*s + 10*s + 22. Let o(d) = m*y(d) - 13*g(d). Let u(q) = -3*q**2. Calculate u(o(c)).\nAnswer: -147*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -286*k**2 + 176?\nAnswer: -572*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 7}. Give prob of picking 3 s.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.5738732 weeks?\nAnswer: 347078511.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -205*o - 213. Is c(-13) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxwnbkpbnnxnwnknxnn. What is prob of sequence xx?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*q - 326 - 39 = 1346 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*v - 562*v + 184*v + 187*v + 93*v**2.\nAnswer: 93*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 + 17*x - 2. Let i be n(-3). Let o(q) be the first derivative of i + 8\/5*q - 32\/15*q**3 - q**4 - 2\/5*q**2. Factor o(k).\nAnswer: -4*(k + 1)**2*(5*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 91*v - 96*v - 8781, 0 = 5*v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 5*w**3 - 2*w**3)*(0 - 1 + 0) + w**3 - 2*w**2 - 31*w**3 + 13*w**3.\nAnswer: -19*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 12 + 0*f + 27\/4*f**4 - 17\/3*f**3 + 0*f**2. What is the third derivative of r(o) wrt o?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5 + 823*f**4 + 1009378*f**3 - 7093486*f**2 + 15219231*f - 9135945 = 0. What is f?\nAnswer: -679, 1, 3, 1495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 8 - 7. Let w(k) = k**2 - 4*k - 1. Let s be w(5). Put s, 1, u in decreasing order.\nAnswer: s, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1456.5 and 3.\nAnswer: -4369.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4016 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1741528 - 157042 = -14022*h for h.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 21 + -21 + 1 + (0 - 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48473 - 47937.82. What is p rounded to the nearest ten?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 9) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -2, -588, -29, 4, -4 in increasing order.\nAnswer: -588, -29, -5, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 19 = -6*n + 4*n, 2*n = 4*y + 22. Solve 7*b - 6*b + 4*u - 11 = 0, n*u - 16 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01670176103 rounded to five dps?\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 985937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 10*p - 310, 173*p + 3*j + 17 = 369*p - 195*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*h = -5*h - 25, -3*d + h + 15 = 0. Let x(s) = -d*s**2 + 14*s + 3*s**2 - 16*s + 1 + 4*s**2. What is x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/30 - 2*m**2. Let p(y) = -1 + 1 + 6*y**2 + y**2. What is w(p(j))?\nAnswer: -98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 1879039*i**2 - 5*i + 1879039*i**2 - 71*i**3 + 82*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (45\/(-6))\/5*-20. Let l be 18\/(-4)*r\/9. Let m = -10 - l. Let w(x) = -x + 1. Let u(d) = d - 1. Calculate m*w(t) + 6*u(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(0*v - 2*v + 4*v) + 5371 - 2685 - 94*v - 2693 - 2*v - 1 + 1 - 4 - v + 4 + (1 + 5 - 4)*(2*v - v + v) + 3*v + 0*v - v.\nAnswer: -95*v - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 515840533 to the nearest integer?\nAnswer: 22712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -393*a**3*s**5 - 861*a**3*s + a**2*s**2 - 82*s**6 wrt s?\nAnswer: -23580*a**3*s**2 - 9840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*x + 34586 = 0, 5*u = 1781*x - 1777*x + 43232. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25\/6 - 365\/3*z + 5329\/6*z**2 = 0. Calculate z.\nAnswer: 5\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178412 at most as big as 903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*k + 10 - 1, -3*q - 2*k = 14. Calculate the remainder when ((-4)\/q)\/((-1)\/(-88)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 162*f - 2187.\nAnswer: -3*(f - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 50 in increasing order.\nAnswer: -8, -2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(17)*-2 + -4.\nAnswer: -4 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 419 + -385. Suppose 4*k = -j + 21, 4*k - j = -k + 15. Suppose -2*m + i = k*b, m + 2*m + 15 = 5*b. What is the remainder when b is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*s + z, -3*z + 3 = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by (-23016)\/(-60) + 26\/(-30)*3 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.2 - -21. Suppose -10*b = -b - 27. Sort b, q, 4, -0.13 in increasing order.\nAnswer: q, -0.13, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/22662 and -19\/156.\nAnswer: 589212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598 and 6890?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -1201\/24. Let t be (3 - 3) + 0 + 2\/6. Put -0.1, -4, i, t in decreasing order.\nAnswer: t, i, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*y + 899 = 0, -3*n + 3*y = 15 - 894. What is the remainder when n is divided by 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {c: 1, e: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(12)\/sqrt(4))*5.\nAnswer: -20 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -211 - (-104 - -1) - -194\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 20. Solve 3*q + 4 + 7 = 4*d, z = -q - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.74055966 rounded to one dp?\nAnswer: 104.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tetq when four letters picked without replacement from {q: 1, e: 13, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/114 and 58\/741?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (9 + 3 + -18 + 4 + 11 - 48)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96633924*s**3 + 698332577*s**2.\nAnswer: -579803544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = -4*d + 21, -2*t = 2*d - 24. Suppose 3*f - 2*f - 3*j + 6 = 0, -2*f = -5*j + t. Which is the second smallest value? (a) 2\/11 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 + 1 - (11 - (-60 + 59))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26537, -51297, -76053, -100805, -125553, -150297?\n\"Answer: 2*w**2 - 24766*w - 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -12. Let m(z) be the first derivative of z**3\/3 + 9*z**2\/2 + 2*z - 26508. Calculate m(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9730 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4*0 + 9\/(-3). Sort 5, o, 8.\nAnswer: o, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -3*v. Suppose -5*y = 4*x - 0 - 35, -3*y = -3*x + 6. Suppose -3*m - y*a = -v*a - 35, -4*a = m - 19. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*d - 13, -5 = 2*r - 4*d + 1. Sort 2, -7, r, -4 in descending order.\nAnswer: r, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.162229 to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-662)\/(-30) - 55\/825)*(-3)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -108, 3\/5, 61?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107618.\nAnswer: 2, 7, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 139*l + 2*l**2 - 133*l + 28 + 3*l**2. What is the remainder when m(-4) is divided by 1\/(-4)*-17*4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -771 - -776. What is the nearest to b in 0.2, -4, -0.08, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**3\/7 - 8842*r**2\/7 - 4422*r\/7 = 0.\nAnswer: -1\/2, 0, 2211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -30. Let r = -72 - g. Find c, given that -2*c**3 - 2 - r*c + 11*c - 2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 12) to base 3.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, s: 2, t: 1, u: 3, y: 2, p: 2}. Give prob of sequence ust.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/8 and 177\/(-45)*15\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (0 + 3 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*w**4 + 4*w - 19*w**4 - 16*w**4 - 17*w**4 wrt w.\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*j - 113*j + 3 - 54*j as w + f*j and give f.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 97*w = -13*w + 913187. List the prime factors of w.\nAnswer: 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 4943*q**8\/336 + 1693*q**4\/12 + 13*q**2 - 2*q - 7. What is the second derivative of k(p) wrt p?\nAnswer: 98860*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 0, 19, 12 in decreasing order.\nAnswer: 19, 12, 6, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -189931, -189919, -189893, -189847, -189775, -189671, -189529, -189343?\n\"Answer: m**3 + m**2 + 2*m - 189935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768880559.\nAnswer: 197, 751, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + 7.9. Which is the closest to -1\/4? (a) q (b) 0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15586832 to the nearest integer?\nAnswer: 3948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.917 - -623.\nAnswer: 623.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-584 - -574)\/(10\/17) - -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905455 to the power of 1\/2, to the nearest integer?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 184900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s + 96. Let h = 16 + s. What is the units digit of (0 + 1)\/(h\/(-144))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2945 = -x. Let a = -220 + x. List the prime factors of a.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 4*c + 3. Let g be n(2). Let i = g - 1. What is the greatest common factor of 98 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 172*(-26 - 3). Let c = -39863\/8 + l. Calculate the common denominator of -31\/20 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211 * 22199\nAnswer: -4683989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s + 5*o - 45, 3*s + 2*o = 23. Solve 4 = -s*w - h, -6*w = -3*w + 2*h + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**5 + 35*f**4 - 75*f**3 + 65*f**2 - 20*f.\nAnswer: -5*f*(f - 4)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 335160.048 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 + -5)*4\/6)\/(-1). Let r(x) be the third derivative of 0*x + 0*x**3 - 1\/84*x**6 - 1\/42*x**4 - x**p + 0 + 1\/30*x**5. Determine t, given that r(t) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 3, 17, 37, 63, 95, 133?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:07 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 13*q + 13*q + 2 - 47*q + 8*q + 11*q. Let p = 3 + -2. Let a(u) be the first derivative of u**2\/2 + 270. Calculate p*z(n) + 5*a(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -47585\/143 greater than or equal to -333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Suppose -5*i - 34 = -3*x, 15*i = 18*i + 15. Let o(d) = x*d**2 + 54*d - 54*d - d**2. What is o(h(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlv when three letters picked without replacement from {f: 3, l: 4, v: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35466 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1054 and 120819?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2081 - 14131 = 1158*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -3, 2 in increasing order.\nAnswer: -3, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/184 + (-42)\/16?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)*l)**(-22)*((l**(2\/9)\/l*l)\/l)**(-5\/3))**(-1\/7) assuming l is positive.\nAnswer: l**(1415\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*g + 273*g = j - 43, 1587 = 144*g - 3*j for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 4265?\nAnswer: 4263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 832 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 1\/105*c**7 - 1\/30*c**5 + 0 + 2*c**2 + 1\/12*c**4 + 0*c**3 - 1\/60*c**6 + 0*c. Factor w(d).\nAnswer: 2*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 5) in base 16?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15382 - 10093. List the prime factors of x.\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 481476 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 119.\nAnswer: -8\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*n**2 - 461*n + 157*n + 151*n + 17*n**2 + 152*n + 52 to the form p*n**2 + q + k*n and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3121, -5, 75320 in decreasing order.\nAnswer: 75320, 3121, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*b + 1165 - 2*b**3 - 255*b - 577 - 585 - 870*b in the form j*b**3 + z*b**2 + l*b + a and give l.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 758 (b) 0.5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5037 - -2?\nAnswer: 5039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452601999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-19 + 19))*(-4 + 135\/35).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 0)*(22*g + 17*g - 2*g).\nAnswer: -259*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5199 - -5181. Let y(t) = -t**2 - 19*t + 22. Determine y(g).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 = -5*c, -2*b + 0*c + 3*c = 5. Suppose 42 = -27*q - 39. Put b, 6, q, -2 in descending order.\nAnswer: 6, b, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2893 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -2 - (-18 - -17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58 - 6443827\nAnswer: -6443885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -1. Let q be (-5)\/(-1) + -1 - o. What is the greatest common divisor of q and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f + 7*f + 8*f + 6*f as t*f + y and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*o + 65 = 0, 0 - 18 = -2*c - 4*o. Round c to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x. Let f(g) = g + 3. Let p be f(x). Solve 9 = p*d - 0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edyitec. What is prob of sequence ctd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4781360, -4781347, -4781330, -4781309, -4781284, -4781255, -4781222?\n\"Answer: 2*l**2 + 7*l - 4781369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 21*d - 245 = 0. Is 44 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 873, 1, 5, -1 in increasing order.\nAnswer: -1, 0, 1, 4, 5, 873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436024 (base 7) in base 4?\nAnswer: 233121230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(66) - sqrt(66))\/sqrt(6) + sqrt(44)*-3)**2 + -4.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/591272 and 53\/22.\nAnswer: 591272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*180\/144 - 12087\/408.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2 - 63420*c + 126846. Determine i(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -31\/4. Which is the nearest to l? (a) 0.82 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, -3088, -13730, -35256, -71278, -125408?\nAnswer: -201258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 15*o**2 + 4*o - 3. Let s(k) be the third derivative of -k**5\/60 + 7*k**4\/12 + 6*k**3 + 3*k**2. Let g be s(16). Is h(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1\/4, 0.5, 1\/4 in decreasing order.\nAnswer: 0.5, 2\/5, 1\/4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f - 4 = 3*p, -2 = f. Suppose -3*t - h = -61, 0 = 4*t - p*h - 3*h - 103. What is the remainder when 85 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4714.0000013744 - 4714. What is l rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3, 26397, 5 in descending order.\nAnswer: 26397, 5, 3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-12)\/(-48)*((-2)\/(-2))\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*2 + -4 + (sqrt(1008) - (sqrt(1008)*1)**2) + -3 + sqrt(1008) + 1 + 0.\nAnswer: -1014 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 4:33 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3*v - 2*v + 58 = 0, 3*v + 29 = -5*k - 123 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6308, 6280, 6234, 6170, 6088, 5988, 5870?\n\"Answer: -9*l**2 - l + 6318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5 - 1) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 678*z = 679*z + 8, -8*z = 3*n + 39 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 3\/8*i**6 + 0 + 1\/42*i**7 + 2*i**5 - 28*i**2 + 10\/3*i**4 + 0*i + 0*i**3. What is j in u(j) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 = -15. Let z(k) = k**2 - k - 1. Let f(t) = -7*t**2 + 18*t - 27. Let c(g) = -f(g) - 6*z(g). Let j be c(8). Sort b, j, -4.\nAnswer: -4, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -15*i - 6096 - 8749, -t = -5. Which is greater: -988 or i?\nAnswer: -988","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 136, 240, 342, 442, 540, 636, 730?\n\"Answer: -x**2 + 107*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 6:01 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 32*l\/3 + 22774.\nAnswer: -2*(l - 193)*(l + 177)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134471 divided by -7.\nAnswer: 134471\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:40 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130529873.\nAnswer: 337, 387329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*w + 35. Suppose -q - 5 = -15. What is the units digit of (1 - 0) + w + q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70179.51271 - -70180. What is x rounded to 3 decimal places?\nAnswer: 0.487","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 + 1 = 0. Let t(s) = 4 + 3 - 5 - 1 - 9*s. Let q be t(i). Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/25? (a) -0.5 (b) -4 (c) -0.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.55295838 to 1 decimal place.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3))**(11\/9)*((a\/a**(-1))\/a)**(2\/5))\/((a**0\/a)**41)**(-46) assuming a is positive.\nAnswer: a**(-254501\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 4 - 116*j**2.\nAnswer: -116*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112320947 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Suppose -h - f + 4 = 2*h, 0 = -3*h + f + 2. Let d(l) = 6*l - 1. Determine h*d(r) - 5*s(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o - 942 + 403. Let z = o - -313. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.085?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -3 + v + 3\/2*v**3 - 9\/2*v**2. Let a(y) be the third derivative of 7*y**4\/12 - 7*y**3\/3 - 8*y**2. Calculate 5*a(m) - 8*p(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/3)\/((-6)\/(-9)). Find the common denominator of (-76)\/9 - u - -2 and (-3)\/15 + (-6463)\/460.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2015.2287 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d = 53*d + 316 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 0 = -3, 2*q + 4*n + 6 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.19 + -0.39. Let c = -82 - -331\/4. What is the smallest value in 4\/3, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*26054.712\nAnswer: -104218.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4739013745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -661, -1005, -1355, -1711?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.66*6.95\nAnswer: 4.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -0.4, 0.0032, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + 5*w**4 - w**3 + (1 + w - 1)*(60*w**3 - 61*w + 61*w).\nAnswer: 65*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {v: 2, x: 2, f: 4, y: 2, z: 1, g: 3}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s + 267168 = -209154. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 971 + -4.395237.\nAnswer: 966.604763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 7*l**4\/6 + l**3\/3 + 2*l - 30. Let b be i(1). Solve 0*z - 5*z + 4*c = -33, -2*z + 3*c = -b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -1\/2 (b) 4 (c) -3\/4 (d) -108 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w + 3*w)*(21*w + 5*w + 13*w + 12*w).\nAnswer: 51*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7 = 9. Suppose g = -z + 9. Suppose 2 = x - z. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/141))\/z**38*((z**(3\/14)*z)\/z)\/(z**(17\/5)*z) assuming z is positive.\nAnswer: z**(-406363\/9870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -3 + 3 + -4)**2.\nAnswer: -80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 5*x - 2. Suppose -12*t = -20*t + 48. Let y = 1 - 3. Let o be 26\/t - y\/(-6). Let v(u) = 2*u**2 + 4*u - 2. What is o*v(b) - 3*j(b)?\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51478, -102961, -154444?\nAnswer: -205927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 a factor of 39794272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -483120*h**3 - 193988*h**2 wrt h.\nAnswer: -2898720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 280 + 1055 = 0. Let q(z) = z**2 - 1 + l*z - 4 - 79*z - 77*z. Let i(d) = 4*d - 28. Let j be i(7). Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -653 + 297*p + 4*p**3 + 3*p - 68*p**2 + 84*p - 67.\nAnswer: 4*(p - 6)**2*(p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 2*t**2 + 0*t**2 + (0 + 2 - 1)*(-2 + 2 + 19*t)*(2*t - t - 1 - 2*t) as k*t + g + s*t**2 and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477651699.\nAnswer: 3, 7, 127, 59699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 5*c = -5*i - 77, 0 = -3*i + 3*c + 267. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10291324 or -10291323?\nAnswer: -10291323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99043349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*k = 216, 3*a - 4*k - 32 = 135. Let p(m) = 15*m**3 - 1. Let l = 13 - 12. Let j be p(l). Calculate the greatest common divisor of j and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(153) + 2)*2 + 2 + 6*(0 + sqrt(153))**2 + 1.\nAnswer: 12*sqrt(17) + 917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11612 and 46448.\nAnswer: 46448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-40 - -46) + -4 + -40 + -3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9) + (-21)\/45. Let d = 4 - 5. Is s < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 2 + (-2)\/(-5). Let t = 58 + -57. Which is the nearest to -1\/2? (a) t (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.03 (c) 788 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.4 (b) 0.2 (c) -0.17 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, 5, -5, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2))**(-16)*(r\/(r**(1\/3)*r*r*r)*r)**(-1\/5) assuming r is positive.\nAnswer: r**(124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 373 = -303 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44263 or 62050?\nAnswer: 62050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -61*y**3 + 35*y**2 + 2*y + 2. Let g(t) = 62*t**3 - 35*t**2 - 3*t - 3. Let s(x) = 2*g(x) + 3*j(x). What is the third derivative of s(r) wrt r?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2637298 is divided by 439548.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 6*m + 119. What is the lowest common multiple of 66 and (-105)\/(-2)*(-10 - 162\/m)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g + 463 - 43 + 84 = 0. Calculate the remainder when 1762 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 3}. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-26)\/26)\/(14\/(-2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4640 + -4638. Suppose 0 = -z + 2*z - 2. Suppose -3*l + 27 = z*r, 0 = -4*l + r + r + 50. Solve 4*o = 2*n + 2*n - 16, -q*n = -3*o - l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203423 (base 5) to base 7\nAnswer: -25434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 9*h + 12. Calculate the remainder when j(-6) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20 = 5*i, 4*r + 0*i - 4*i - 112 = 0. Let t = r - 21. Suppose -4996 + 1279 = -t*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1012 - -1027. Calculate the least common multiple of h and 130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3251635717 to the nearest integer?\nAnswer: 57023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1445, 1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/(-49) + -6)\/(12\/(-7))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in -1\/3, -0.8, -2\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 72810 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 5:57 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkakagngnngg. Give prob of sequence nkgk.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2387 = 5*f + 2*c, 40*f - 4*c = 44*f - 1900. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:17 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**6\/3 + 7*d**2\/2 - 13*d. What is the derivative of l(h) wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {t: 5, u: 3, q: 4, a: 1, k: 3, x: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*3215\/10288?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.79 + 0.11. Let h = w - 0.899932. What is h rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1)*(-327 - 548*k - 323 + 642).\nAnswer: -2192*k - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 900574, 1800667, 2700760, 3600853?\nAnswer: 4500946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.14994 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 3:21 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**3\/3 + 2*j. Let d(x) = -9*x - 3*x - 2*x + 3*x. Give b(d(r)).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 26*c - 56. What is the remainder when w(18) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 7*u + 4. Let d = 10 - 14. Let w = d + 9. What is h(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -0.3, 6, -1\/2, -3 in ascending order.\nAnswer: -3, -1\/2, -0.3, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g + 0 + 0 - 1 + g**2 + 0 to the form v*g**2 + o*g + z and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -16615500.\nAnswer: 1\/16615500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 1032 = 25*g. Let p = 310 - g. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 101463687.\nAnswer: -5\/101463687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-4315.\nAnswer: -43150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1053.0508 and -112?\nAnswer: -117941.6896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (-1 + sqrt(252))**2) + 4 + (-1*sqrt(252) + sqrt(252))**2*-1 + 3.\nAnswer: -246 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -16. Let m = -51 - p. Calculate the highest common divisor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, 0, -1 in increasing order.\nAnswer: -201, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -247230 divided by -615\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*i + h, -2*i = -0*i - 2*h - 10. Let d = i + -3. Let n be 4 + (3 - 1)*-1. Solve n*w = -d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619000 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 10724188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1185, -1205, -1331, -1641, -2213, -3125, -4455, -6281?\nAnswer: -8681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 0 (b) -3 (c) 7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*v - 3*v - 10, -15 = -4*v + c. Suppose v*z = -488 - 72. Let l = -54 - z. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t + 10 = -31*t. Suppose -t*y + 395 = -0*y. Let r = y + -69. Solve 0*b - 2*b + r = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/((-6)\/((15\/10)\/(190\/(-152)))).\nAnswer: -82\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2591697.\nAnswer: 3, 863899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780363*y**2 + 390183*y**2 + 390181*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 8*r**2 - 9*r + 3. Let o be b(9). Let m = o + 1. Suppose -i + m = -0*i. Calculate the greatest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) - 1\/2. Let t = y - -8. Let m(l) = l**3 + 4*l**2 + l + 2. Let u be m(-2). Calculate the greatest common factor of t and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(2*o**3 + 0 + 0 + 4*o**2 - 4*o**2 - o**3 + (9*o + 3*o - 5*o)*(o**2 - o**2 + o**2) + o**3 + 3 - 3).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(34) - (4*sqrt(34) + sqrt(34)))\/sqrt(2))**2 + sqrt(51)\/(-1*sqrt(3))*-4.\nAnswer: 12*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (238\/(-357))\/(3\/2)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -769?\nAnswer: -4\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.50926 + -0.03276. Round a to 2 dps.\nAnswer: 1.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5973, -11582, -17189, -22794, -28397, -33998?\n\"Answer: h**2 - 5612*h - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19 + -5*(-860)\/(-220). Let l(z) = -z - 8. Let g be l(-4). What is the closest to g in h, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322264012 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1627 - 2.410537.\nAnswer: -1629.410537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 4. Let v be b(-2). Let c be 1\/(4\/v*(-2 - 0)). Sort c, -11, -2, 4.\nAnswer: -11, -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5689*m + 67186. Calculate r(12).\nAnswer: -1082","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/5)*o)**(-2\/39)*(o**1\/o)**(1\/25) assuming o is positive.\nAnswer: o**(-8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 2)*(0 - 2 + 3)*(0*g + 6*g - 3*g).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlp when three letters picked without replacement from jpjjjpjljj?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 410.1 - 410. Which is the nearest to 0.2? (a) p (b) -9\/22 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3885472 divided by 32?\nAnswer: -121421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 13*m - 19. Let t be x(12). Let c be (((-385)\/(-2))\/t)\/(2\/(-8)). Let k = -32 + c. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/45 - (-11)\/3. Suppose -2*o + 21 = 3*i, -5*i = -y*i + 2. Let l(h) = 21*h**2 + o*h**2 - 25*h**2. Let u(f) = -f**2. Determine l(u(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/255 and ((-79)\/136)\/(115\/(-460))?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7831839035 take away 10?\nAnswer: 7831839025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25313446?\nAnswer: 2, 239, 52957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.163757 days to seconds.\nAnswer: 100548.6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*81\/(-84) - (-2)\/14. Solve -3*p + r*y = 16, -3*y + 5*y = -p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.27 + 0.425. Let s = -7.255 + d. Let q = -6.1 - s. What is the third smallest value in 8, q, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, n: 1, h: 5, r: 6, x: 1}. Give prob of picking 3 e and 1 x.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-16)*(-2 - -6). Suppose 6*r = d*r + 34. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8414 + 8435. What is the greatest common divisor of 573 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o + 6. Let i(j) = 4*j + 13 - 3 - 14. Calculate -7*i(k) - 5*s(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-1 + (-1 - 0)). Let z(l) = 4 - 1 - c*l - 3. Let i(j) = j**2. Give i(z(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/7, -2\/5, -113, 1\/4, -4 in increasing order.\nAnswer: -113, -4, -2, -2\/5, -1\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3477, 7001, 10523, 14043, 17561, 21077, 24591?\n\"Answer: -y**2 + 3527*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/239 - 12289\/4780. Find the common denominator of -67\/8 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 9, h: 2, k: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90038*s + 90040*s - 2*p - 2 = 28, 0 = -2*s + 4*p + 30 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.25 - -0.85. Let t = -2.9 - b. What is the biggest value in 2, 2\/127, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 579 and 276?\nAnswer: 53268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b8c10c - -5?\nAnswer: -b8c107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2*k**5\/5 - 4*k**3\/3 - 14. What is the third derivative of t(w) wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/9)\/((-4)\/24). Suppose 5*o = -4*d + 40, 24 - 3 = 5*d - o. Let t = 9 - d. Solve t = m*k - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 21 - 31 = 4*v, -4*b + 15 = v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7447061 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1547 + 12489. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.8008 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 7:12 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 32*s**2 + 453*s + 1019. What is f(-8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -162 - 314. Let b be c\/(-85) - (-3)\/(-5). Suppose b*l - 4*p - 1895 = 0, -538 = -3*l - 2*p + 599. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 13*c**5\/20 - 13*c**3\/6 + 177*c**2 + 47*c + 1. What is the first derivative of u(g) wrt g?\nAnswer: 39*g**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1461.602529 to two decimal places.\nAnswer: 1461.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = 4*h - 9, -5*h + 21 = -2*u. Let x(p) = 3*p - 4. Is x(h) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from hmlmhmlggoogglogll?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most -4.569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-90))\/(4\/5). Suppose 3*i = -0*i - 3. Is i at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3) + 2 - 25384\/1002.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 15 - 49502*w + 10 - 39 + 10. Let a be f(-2). Round a to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.76546cm to nanometers.\nAnswer: 677654600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 261 and 2755?\nAnswer: 24795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21318517\/1271855 - -21150\/1151. Let j = -3\/221 + l. Factor -7\/5*t + 2\/5 - 3\/5*t**3 + j*t**2.\nAnswer: -(t - 1)**2*(3*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.4 (b) -0.6588 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492576896 and 14.\nAnswer: 492576896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 6*w**2 - w - 6. Let j be p(-6). Let v = -701 + 2102\/3. Which is the third biggest value? (a) v (b) j (c) -0.072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353025.4 decades to years.\nAnswer: 3530254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q - 2. Let j be p(-1). Let f = j + 108. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 at least -2733245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 779 - 41 = 0. Suppose -2*y = -3*k - 80, 0 = -2*y - k + 5*k + j. Solve -5*c + 17 - y = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence toi when three letters picked without replacement from iiowiiizzizttitaai?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3bb - 1b72?\nAnswer: -203d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5688 and 6812.\nAnswer: 9686664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 826 + 0?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248\/327 + -10\/109. Which is the closest to -36? (a) -0.5 (b) 2\/13 (c) -0.3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24819, 49662, 74495, 99318, 124131, 148934?\n\"Answer: -5*y**2 + 24858*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) + sqrt(190)*-1*6 + sqrt(190)))\/(sqrt(110)\/(sqrt(44)\/sqrt(4)))*-2)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*t - 5. Let s be -1 - (t*3 + -1). Let f(b) = b + 1. Let h be f(s). Solve -j - 3*m + 12 = -6*j, 5*j = -h*m + 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 24*r + 607. Is j(43) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110554 divided by -2.\nAnswer: -55277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 21*m - m - 92. Let s(l) be the third derivative of 0 + 0*l + 8\/3*l**3 + 7*l**m + 3\/4*l**4. Differentiate s(t) with respect to t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -c + 14, 2*t = -5*c + 94 - 17. Solve -3*s = 3*w - c, s - 1 - 16 = -5*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2068\/5)\/((-54)\/(-50) + -1). Suppose -7*c = -18*c + z. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3*b**2 + (2 + b**2 - 2 + (-2 + 6 - 2)*(b**2 + 2*b - 2*b) + b + 2*b**2 - b)*(2 + 1 + 1).\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-650)*(-2050)\/140. Let s = i - -1\/65. Let d = 0.81 - -0.09. Which is the biggest value? (a) d (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 89.\nAnswer: -5, -1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w**2 + 131*w - 388. Determine o(3).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -171575.42\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaj when three letters picked without replacement from aajaajaaaavaaaaavaav.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/(-38) + -5 + 30\/(-76)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1508*o - 1029?\nAnswer: 1508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 292 (b) -34 (c) 7 (d) 4.2 (e) -3 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-8) - -17) + -5. Solve -5*r - 20 = -l*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*k - 1306*k + 415*k + 424*k.\nAnswer: -114*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -10*(-250)\/14. Let d = q + 180. What is the biggest value in d, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/4*-9*9\/(-2673)*24. Factor 44\/3*f**3 + 7\/3*f**4 + c*f**2 + 0 + 0*f.\nAnswer: f**2*(f + 6)*(7*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/1617 + 320\/165 - (-12 + (-708)\/(-48))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275*v + 3 + 150*v - 58*v - 3 to the form m + n*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1135017428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1)\/(-1)*-3. Factor -2*j**2 + 4*j**3 + 0*j**k + j**4 - 3*j**4.\nAnswer: -2*j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o - 12*o - 3*o)*(3*o + 59 + o - 54).\nAnswer: -96*o**2 - 120*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4085*a + 1359*a + 1361*a + 2 - 8 + 1345*a.\nAnswer: -20*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.8 and 4248.\nAnswer: -135086.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:14 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 - 17*a - 17. Let h(y) be the first derivative of 6*y + 3*y**2 + 20 + 2\/3*y**3. Let l(d) = -4*c(d) - 11*h(d). What is l(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17455.\nAnswer: 5, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191358 divided by 191358.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-425)\/153 + -36 + 39.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22832.8900997 - -22832.9. Round c to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 - 24*s**4 + 84*s**3 - 104*s**2 + 42*s.\nAnswer: 2*s*(s - 7)*(s - 3)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*q - 980 = 0, -577 = -3*t + 5*q + 11. Let o = 389\/2 - t. Which is the closest to -2\/7? (a) o (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 12. Give s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 1, k: 1}. What is prob of sequence zz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 66143 = 66293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Let x = -34 + 23. Let z = x - -14. What is the greatest common divisor of o and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/11, 1.1, 0.4, -0.185?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3\/9 + 236*h**2\/3 + 156*h + 700\/9 = 0.\nAnswer: -175, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67879.9999963113 + 67880. What is z rounded to 7 dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -3, -2, 0, -2530, 18 in decreasing order.\nAnswer: 18, 3, 0, -2, -3, -5, -2530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/3003 and 92\/9009?\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -287, -554, -771, -914, -959?\n\"Answer: 4*a**3 + a**2 - 298*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by ((-3)\/12*-26)\/((-3)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 5*k + 1. Let m = -45 + 53. Is v(m) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13247158 - 13247158 + 101*z.\nAnswer: 101*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11203 (base 8) to base 11\nAnswer: 3619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/1*(0 - 1). Let v(m) = m**3 - 6*m**2 - 12*m - 33. Let d be v(8). Sort d, c, 2 in decreasing order.\nAnswer: 2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -366 + 606. Is w a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1278)\/710)\/(9\/(-45)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f - 3*p + 30, -p + 5 = 0. What is the nearest to f in -9, 1\/2, 3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245206.63 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*y - 97*y + 28*y**4 + (-y**3 - y**3 - 2 + 1)*(-2*y + 0*y - 17*y) + 3*y**4 - 2*y**4 + 0*y**4.\nAnswer: 67*y**4 + 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r. Let p be a(-1). Let f(b) = 2 + b**3 - 6*b - 10 + 17*b - 13*b**2 + 2*b**2. Let z be f(p). Solve -3*s = -z*d + 4 + 5, -3*s + d = 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t - 2. Let z be u(-2). What is the units digit of (-4)\/6*6\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4220.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 42*i**2 - 187*i - 6186. Give r(-43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1548621\/12662 - -1590\/13. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**5 - 208*y**4 + 6128*y**3 - 29568*y**2 - 85248*y = 0.\nAnswer: -74, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**2 + 5024*g - 28464. What is a(712)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19016159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - j - 51, -2*d = -330*j + 334*j + 24 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24)*9)\/(13\/(-52)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.3, 2\/9, -6\/5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 3*z + 2*z + 110*z**3 + 83*z**2 - 3*z + 6. Let k(n) = -n**3 - n - 1. Let i(m) = -6*k(m) - r(m). Find the third derivative of i(x) wrt x.\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and -212.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*a**2 - 98*a**2 + 202*a**2.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -347775*l**2 + 21*l + 26. Let r be v(-6). Round r to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1874157594 to the nearest integer?\nAnswer: 43292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11054\/11 + -1005. Let p = 1\/4 + -3\/4. Is p >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2 - 1967*k = 0.\nAnswer: -1967, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 8*o - 14. Calculate b(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24406687*j*w**3 + 5989*w**3 - w**2 - 498*w + 5 wrt j?\nAnswer: -24406687*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 121*o**2 - 2*o + 1. Let z be j(1). Let c be 4 + -7 + (3 - 0). Suppose c = -2*x - 3*x + z. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c. Suppose 2*z = -6, 2*d - 7*d + 245 = -5*z. Let a(q) = -d*q + 4 + 15*q - 4 + 24*q. Give 3*a(k) + 2*t(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11032705 divided by -5\nAnswer: -2206541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1044232?\nAnswer: 1044230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 0 - 3)*(0*c - c + 2*c) + 0*c - 2*c - c - 94*c - 12*c + 26*c)*(-2*c**2 + 3*c**2 + c**2) in the form m*c + k*c**3 + o + g*c**2 and give k.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 + 20*q - 4. Let z be i(2). Suppose z*c = 2*c + 796. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*c - 214, 43 = c + 2*w + 3*w. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*w**3 - w**4 + 0 - 17*w**3 - 39*w + 19*w**3 as r*w**2 + a*w**3 + p*w**4 + b + z*w and give z.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 9) in base 2?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (-33 - 103) - 133\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 721975 and 288790?\nAnswer: 1443950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 157?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4*(-5)\/(-80))\/((-4)\/8). Let d = -3 - -5. Suppose -d*q = -6*q + 16. What is the third biggest value in l, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 5, 5*v - 3*q = -248 + 246 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1314?\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 0. Let z(n) = -n**3 - n**2 + 2*n. What is z(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = q + 2, -12*q - 2*x = -15*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(270)\/(sqrt(6)*-4)*-4 - (6*(sqrt(5) - (sqrt(5) + 1)) - (sqrt(40) + sqrt(640) + sqrt(40) - sqrt(40))\/sqrt(8))*-1.\nAnswer: -6 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4 = 3*v, -4*v - 160 = -4*h. Calculate the highest common factor of h and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 2, o: 2, d: 1, c: 1, z: 1}. What is prob of picking 1 z and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22100 - 12?\nAnswer: 22033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72804527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/8 - 4138127*f**2 + 34248190136258*f.\nAnswer: f*(f - 16552508)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4853, 4889, 4979, 5147, 5417?\n\"Answer: 4*a**3 + 3*a**2 - a + 4847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(110) + 2*sqrt(110)))\/(sqrt(90)*-5) + -2.\nAnswer: -2 - 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.486 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -749 + 0*d - 13*d + 0*d + 11*d - 1263 in the form p*d + s and give s.\nAnswer: -2012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 12:07 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by -222?\nAnswer: 35\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 35 (c) -3040\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7383178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b = -20 - 91 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 80, -2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 2*n = 8*f + 11, 3*n = -3. Solve 2*s = 4*s + f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let t = -197 - -206. What is the lowest common multiple of 8 and (-6 - -3 - p) + t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 648288144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 4*b**3\/3 - b**2 + 4*b - 5. Let p(f) = -17*f**2 + 8*f - 17. Calculate 9*j(o) + 2*p(o).\nAnswer: 2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:00 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18407 is divided by 4306?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 9*j**2 + 10. Let k be c(-9). Suppose -4*r - 10 = -d - 2, -2*d + 5*r = -k. Suppose d = -3*q + 4 - 16. Put -1, 1\/5, q in decreasing order.\nAnswer: 1\/5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00310360108 to six dps.\nAnswer: -0.003104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -15.9. Let f = 15.9999996 - q. What is f rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -34, -32, 2, 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*42160\/310*(-4)\/34?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63028, -63945, -64862, -65779, -66696, -67613?\n\"Answer: -917*a - 62111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41.589864 and 4128.\nAnswer: 4169.589864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 570 - -180. 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: Let q(r) = -23*r**3 - 9*r. Let h(n) = -n**3. Suppose 2*c - 28 = -26. Let k(p) = c*q(p) - 3*h(p). Find the second derivative of k(t) wrt t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662014 a multiple of 1229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {d: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 11:27 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(130)*-6 + sqrt(130))\/(1*sqrt(70)\/sqrt(7)))**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5046*-1.314.\nAnswer: 6630.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/40)\/((-6)\/(-104)). Suppose 8324 = 31*u - 3363. Calculate the greatest common divisor of j and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 - 0.17. Let d = f + 0.04. Suppose 0 = 3*g + 22 - 25. Which is bigger: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -15. Suppose -64*t + 2046 = -53*t. Suppose -m*z = -7*z + t. Calculate the remainder when z is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v**2\/2 - v + 25. What is the first derivative of u(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.27 - -0.17. Let t be -15*(1 - 324\/13). Let d = t + -359. What is the second biggest value in d, -3\/7, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -1. Suppose 3*w = w - s. Is w less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*t + 11, -3*l - 19 = -2*t + 2*l. Let j(i) = -i**2 - 2*i + 5. Let d be j(t). Suppose 955 = -d*r + 7*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*u + 2*u. Suppose 0 = u*x + 15, 5*s - 11 - 19 = 4*x. Solve -s*v + 12 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-35) + -3*48\/(-602). Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a + 2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10557888481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -545, -1155, -1995, -3059, -4341?\nAnswer: -5835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {v: 2, l: 10}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -5*f + 5*t, 5810*t = 3*f + 5814*t + 52 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -30. Let r = -4 + v. Is 1820\/16 + 12\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 57.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882957.\nAnswer: 3, 294319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z - 154752 = 0. Suppose z = l + 1188. Round l to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27ca4 (base 14) to base 3.\nAnswer: -12000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 36 = 0. Suppose 3*d = -3 - l. What is the tens digit of d*-17*2\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1001647 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14121, -14179, -14247, -14331, -14437, -14571, -14739?\n\"Answer: -q**3 + q**2 - 54*q - 14067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10.9. Let k = n + 3.1. What is the smallest value in k, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 108 = 49*d + 79*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 27*r + 33. Calculate z(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -297*q + 2676. Let r be o(9). Calculate the highest common divisor of r and 319.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose -5*r + 0*z + m*z + 118 = 0, r - 21 = 3*z. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/60 + 3*v**4\/8 - 13*v**3\/6 + 18*v**2. Let o be y(5). Suppose o*m + 1632 = 23*m. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -7b6?\nAnswer: 7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**7)\/(w*w**(-2\/3)))**(8\/5))**12 assuming w is positive.\nAnswer: w**(-608\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 6. Suppose 3*i + 2*i = 0. Let d be o(i). Does 13 divide (23 + 3)*((-33)\/d - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 1, u: 1, p: 1, x: 1}. Give prob of picking 1 u, 1 q, and 1 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -408099 (base 16) to base 14\nAnswer: -7c0769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(96) - sqrt(24))\/sqrt(12))**2 + (2*sqrt(4)\/sqrt(2) + sqrt(2) + -2*(sqrt(2) + -2))**2 + -2.\nAnswer: 8*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 20?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5 + 4490*o**4 + 140794*o**3 + 723310*o**2 + 1042208*o + 455200 = 0.\nAnswer: -25, -4, -1, 2276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (118\/177)\/((-4)\/42)*4\/14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {l: 3, u: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cd2b5c - -4?\nAnswer: cd2b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 54.09. Let x = q - 0.11. What is the closest to -0.01 in x, 2\/7, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/43801 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 450*m**2 - 63*m + 14. What is the units digit of y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11492.8019 - 11488. Let r = -4.617 + a. Let f = -0.196 + r. Round f to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Let d(j) be the first derivative of -4*j**3 - j**2 - 14*j + 45. Let i(q) be the first derivative of d(q). Determine n(i(m)).\nAnswer: -48*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8600748 to the nearest integer?\nAnswer: 2933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 - -0.8. Let s = -0.1 + n. Sort s, 0.1, 1\/7 in decreasing order.\nAnswer: 1\/7, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51728, 207042, 465900, 828302, 1294248, 1863738, 2536772?\n\"Answer: 51772*m**2 - 2*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16144305449 rounded to 6 decimal places?\nAnswer: 0.161443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*t = -10, 0 = -p - 2*t + 199 - 204 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/5155 + -2076\/36085. What is the common denominator of u and 34\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 20108 + 4535 + 7*m.\nAnswer: 6*m + 24643","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -43. Suppose -70 - d = -13*n. Suppose -4*u - 3*k = -405, -u - n*k + 100 = -4*k. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -26. Calculate the remainder when b is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 34 + 10. Suppose 5*w - 13*w = -128. What is the least common multiple of w and b?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 - -156. Let x(h) = -13*h**3 - h**2 - 2*h - 2. What is the hundreds digit of x(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -777808, -777800, -777792, -777784, -777776?\nAnswer: -777768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = 5*f, -81*r + 6 = -78*r + 3*f. Put r, 4, 17, -3 in descending order.\nAnswer: 17, 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/53837 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1.076?\nAnswer: 1.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -299*w - 38568. Determine q(-129).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/3 - 42425*t\/3 = 0 for t.\nAnswer: 0, 42425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6463000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/((-66)\/(-264)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20512523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -100*m**2 - 2*m. Let l(y) = -67*y**2 - y. Calculate 8*l(k) - 5*v(k).\nAnswer: -36*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {f: 5, e: 2, l: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(833)*2)*-6.\nAnswer: -336*sqrt(17) - 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64100691 and 1647?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u - 20 + 0 - 9*u - 7. Let g(f) = -6*f - 9. Let i(p) = 7*g(p) - 2*j(p). What is the derivative of i(z) wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 84 = 24. Suppose -3*o = -v - 27. Calculate the remainder when o is divided by ((-2)\/6)\/((-3)\/117) + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-9)*3*0. Let v = 1 - -4. Solve -16 = o - 3*o + 4*b, -v*b - 15 = c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -2155154\nAnswer: -55\/1077577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2064.04 millennia to years.\nAnswer: 2064040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 13 + 11. Suppose -t*h - n + 2*n = -20, -n = -5*h + 44. Let u(b) = -b**2 + 9*b - 11. Give u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -9. Let f(b) = -2 + 2*b + b - 2 + b**m - 3. Calculate f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 453, 3837, 13115, 31263, 61257?\n\"Answer: 496*t**3 - 29*t**2 - t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 3*w**2 - 87*w - 5. Let h be m(8). Solve 2*j - 7 = -3*k - 2*k, -4*k - h*j = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 36 = -d, -11 = -2*x - 15. Let f(n) = n**2. Let a(o) = 7*o**2. Calculate d*f(b) - 5*a(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 902 + 0\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0*p**2 + 0 - 1\/3*p**3 + 3*p. Let y(r) = -r**2. What is y(s(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8149642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -0.31. Let v = -0.2 - -2.5. Let l = v - p. Is l greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + p + 45. Let m be y(5). Find the second derivative of 35 + c + m*c - 5428*c**4 + 5387*c**4 wrt c.\nAnswer: -492*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*z - 106*z + 10*z**2)*((-z - 2*z + 6*z)*(3*z - 3*z - 8*z) - 3*z**2 + 3*z**2 - 3*z**2).\nAnswer: -270*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443*l**3 - l**2 + l**2 - 446*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7372.\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(275) - sqrt(275))*3 - (sqrt(275) + -4*sqrt(275)*3 + sqrt(275)) - (4 + 5*(sqrt(275)*-2 + sqrt(275) + -5)))**2.\nAnswer: 1890*sqrt(11) + 22712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s. Let u be ((-6)\/(-9))\/(4\/6). Let r(c) = -4*c**2 - 2*c. Let d(q) = -17*q + 12 + 16*q - 12. Let z(f) = u*r(f) - 2*d(f). What is z(j(l))?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * -0.3732\nAnswer: 0.44784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546917 is divided by 27343?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*k + 15 - 355, -103 = -2*k - 5*h. Suppose 2*s - k = -2*p, 2*s + 4*p = 3*p + 59. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-5))\/((18\/(-96))\/((-1)\/(-14)))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**3 - 100*u**2 - 79*u + 19. Calculate z(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.79 - 15.29. Suppose a = -0 + 3. What is the smallest value in -0.4, c, a, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1359 bigger than -1328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z + 8. Find the third derivative of 6*u**4 - z*u**2 - 3*u**4 - u**4 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1090 + -1163. Suppose 0 = 5*x + 365 - 1545. Let u = i + x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -48. Suppose -d + 2*u + s = 0, 2*u + 2 = -6. Suppose 0 = 2*a - 8, 3*j - 3*a = d. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j**2 + 5*j + 1. Let o(p) = -17*p**2 + 11*p + 1. Let s(g) = 3*g**2 - 69*g + 6. Let a be s(23). Give a*o(t) - 13*n(t).\nAnswer: 2*t**2 + t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 284528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. Let x(s) = -10*s + 15. Let d(v) = -7*v + 10. Let w(u) = -8*d(u) + 5*x(u). Let h be w(q). Solve 9*n = 4*n - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3252 + -222?\nAnswer: -3514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 854*u**5 + 2147*u**4 + 1311*u**3 - 409*u**2 - 433*u - 6 = 0.\nAnswer: -1, -6\/427, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 21, 28, 33?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 4*a**2 + 8*a - 4. Let j be n(5). Let g = 1810 + -1511. Let f = g + j. Is 31 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 5, c: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*s = -73, -9*s + 5*s - 234 = -14*y. Sort -10, y, 1, 5 in increasing order.\nAnswer: -10, 1, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -844*m**2 - 421*m - 6220250 with respect to m.\nAnswer: -1688*m - 421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 1. Let x be d(-1). Suppose -2*j = x, 5*j - 4 = -2*r - 14. Let m be -1*2\/(-4)*r. Solve -3*f + 10 = -2*q - m, 0 = 2*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2618 is divided by 89?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -213350, -426677, -639978, -853241, -1066454, -1279605?\n\"Answer: 2*w**3 + w**2 - 213344*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1704 and 0.4.\nAnswer: 681.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3) + 4 + 2 - (-6 - -11 - -22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.43 + 23.57. Let n = 28 - w. Let a = 1.024 + -0.024. What is the closest to a in -1.1, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 4. Let r be k(-3). Suppose 3*t = 8*t + 4*l - 200, 0 = r*l + 25. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = 3. Let j(u) = -7*u - 2. Let h be j(-2). What is the third derivative of -h*c**3 + 12*c**3 - 3*c**2 - m*c**5 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 769681 and 125477?\nAnswer: 798159197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 4. Let g(x) = -3*x - 6. Let q(h) = 5*g(h) - 7*y(h). Let b be q(-3). Let w be -2*(2 - 1)\/(-9). Put w, 0.3, b in decreasing order.\nAnswer: b, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27321975 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 4*i - 2*i)*(-4*i**4 - 3*i**4 + 5*i**4) + (-3*i + i + 3*i)*(-11*i + 7*i - 21*i)*(-5*i**3 - 3*i**3 + i**3)*(1 - 1 - 2).\nAnswer: -348*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-36))\/(((-63)\/(-12))\/(-7)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -113 divided by -676\nAnswer: 113\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3.8. What is the closest to r in 5, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 29 = 5*h + k, 2*k = -2*h + 2. Suppose 15 = -2*o + h*m, -6*m = -5*o - m. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -9.92 (b) -0.3 (c) 0.06 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 1536*f - 82944.\nAnswer: 4*(f - 432)*(f + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -941*r + 25402. Calculate k(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4038499.\nAnswer: -1\/4038499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 20 = -3*t. Suppose t*r + 98 = 4*v, -2*r - 4*v + 7*v - 42 = 0. Which is greater: -17 or r?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*u = -5*u + 11, 0 = 4*g - 4*u + 4. Let t be 76\/8 + (-2)\/g*3. Is (-1594*4\/t)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 20 = -4*c, 4*r - 29 = -5*c. Suppose -c = -o - 6*v + 2*v, 0 = 2*o - 4*v + 6. Let u be (-2)\/7 - (-8)\/35. Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392535492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 0*o**5 + 0*o**3 + 5\/24*o**4 + 0*o + 1\/210*o**7 + 0*o**6 + o**2 + 0. Find the second derivative of f(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Does 21 divide 2\/o - 624\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 132202001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 161664.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.92 - -19.92. Let c = 17.99876 - l. Round c to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 36*q + 43. Let t be y(-19). Solve -3*h + 4*h - t = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x**(-2\/5))**47 assuming x is positive.\nAnswer: x**(-564\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.7 and 4715273436.\nAnswer: 4715273443.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 3*i - 2. Let k be v(3). Let w be -1 + 11 - (k + 0). Let r be 18\/w*(-4)\/39. What is the smallest value in r, 1\/4, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 343 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 16 = 3*g, 79 = -g + w + 85 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/3 - 226*h**3 - 23448*h**2 - 2080792*h\/3 - 1875808 = 0. What is h?\nAnswer: -146, -44, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 4*g + 5*g = 584 - 965, 0 = -5*c - 2*g + 129 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let z(x) be the first derivative of -x**5\/120 - x**4\/24 - 2*x**3\/3 - 4. Let i(b) be the third derivative of z(b). Let t be i(-1). Give m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7456 - 2806 = 31*j. Is 9 a factor of 0 + 104 + -1 + -148 + j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*v - 14, 3*v - 2 - 1 = -5*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -216*o + 299 - 597 + 298 + 5*o - o - 2*o + (4 - 1 + 0)*(o - o + 2*o) - 3*o - 2*o + 6*o as y + p*o and give p.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvvjsjjjvvvsvsvjj. Give prob of sequence vvss.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o - 4. Let j(n) = -n**2 + 10*n - 4. Let q be j(10). Let h(u) = u - 1. What is q*h(r) + g(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -15. Let r be 4\/s + 2\/(-30). Let p = 4 + -7. Which is the third biggest value? (a) 2 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 take away -7736?\nAnswer: 7735.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.457 and 0.027?\nAnswer: 0.012339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13372585, -26745182, -40117791, -53490418, -66863069, -80235750, -93608467, -106981226?\n\"Answer: -b**3 - 13372590*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.92 + -0.08. Let u = 0.9 + -0.6. Which is the closest to r? (a) -3 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8797*d**2*r**3 + 1241982*d**2 + 5*r**4 with respect to r.\nAnswer: -26391*d**2*r**2 + 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (23\/(-3)*9)\/((-1)\/54).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 10*l**2 - 16*l + 19. What is the tens digit of i(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 - (14 + -2 + (10 - (-18 - 6))))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1744 + -1931.28. Let j = 189 + b. Round j to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 734229.7 days?\nAnswer: 63437446080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42726370 divided by 1378270?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3140 - -4040?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22112022010011 (base 3) to base 11.\nAnswer: 2616796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 232 = 4*s, -s = -6*b + b + 73. Let o = -11 - s. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.005 - 27.005. Let x = -15.3 - -0.3. Let d = p - x. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 2. Let i be s(-5). Calculate the smallest common multiple of 2 and 25\/4 + i\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b9 + 46dc2?\nAnswer: 4737b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 915887 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 3\/4 (b) -0.04 (c) -1 (d) 1436 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x - 228 = 0. Let p be 633\/1 + 18\/4*36\/(-27). Calculate the highest common divisor of x and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*q = 2*k - 36, -51*k - 8 = -50*k - 3*q for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x. Let q(h) be the second derivative of -h**3\/6 + 10*h. Let k(p) = 6*q(p) - 4*y(p). Let w(d) = 1. Let r(t) = k(t) - 3*w(t). Determine r(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -451544 and -451548 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*t - 8 + 38, -5*t + 39 = 4*z. Let h be 1\/((4\/32)\/(2\/2)). Let y = h - -3. Calculate the highest common divisor of y and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56908105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 6986826*t - 12203934388569.\nAnswer: -(t - 3493413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21\/20 + -4\/5. Let o = 1.7 + -0.7. Let j = -0.3 + 0.1. Which is the nearest to j? (a) -1 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6722 - -6724.993. What is u rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43932 at least as big as 46948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by -6.\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*a - 4 = 0, -2*b - 28*a + 4 = -26*a. Solve j - 9 = 2*h, b*h = 5*j - 3*h - 31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j + 42. Let s(l) = -7*l - 28. Let b(w) = 5*m(w) + 7*s(w). Let f be b(-10). Solve -f*t - 9 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74339*1127.2.\nAnswer: 83794920.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/3 - 223*y**2 + 2255*y - 16975\/3 = 0. What is y?\nAnswer: -679, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61500427*j**3*q**2 - 478935*j**2*q + 3*q**2 + 13*q wrt j.\nAnswer: -369002562*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 13706667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 228.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(8\/19)\/(m**2)**(2\/51) assuming m is positive.\nAnswer: m**(-484\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/54 and -19\/16?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/9)\/(25*(-170)\/1275))\/((-10)\/2).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v - 18000. What is v rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1254 and 342.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4270 >= -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17501675 + -0.17544. What is m rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 27488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*q**3 - q**2 + 145*q wrt q?\nAnswer: 198*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksut when four letters picked without replacement from ksukslwlskstslwlws.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6467 = -220*q + 11518 + 3355 for q.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 2*g + g)*(2*g**2 + g**3 - 2*g**2) + g**2 + 2*g**4 - g**2 - 117*g**4 - 99*g**4 + 265*g**4 to k + q*g + c*g**3 + l*g**2 + f*g**4 and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = y + 3, y - i = 3. Determine u so that 1\/2 + u + 1\/2*u**y = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 602? (a) -1 (b) 0 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*t**3 + 9*t**2 + 0 - 138\/7*t.\nAnswer: 3*t*(t - 2)*(t + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*w = -0*w + 1, -4*q = -2*w - 10. Suppose 15 = 3*r, -k + 5*r - 95 = -6*k. Let g be (-3)\/k - (-2)\/q. What is the third smallest value in g, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let b = 1802 - 1802. Solve b = d*v - 7 + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 57*c**3 - 5*c + 3\/2*c**2 + 16. Is u(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d**3 + 8*d**2 + 14*d - 11. Let k(o) = 3*o + 4*o**3 - 12*o**2 + 15*o**2 - 4 + 2*o. What is -8*k(c) + 3*n(c)?\nAnswer: c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let h(u) = -u**3 + 4*u**2 + 6*u - 3. Let z be -1 - (-1 - (-2 - -7)). Calculate the smallest common multiple of h(z) and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-2 + 13 + 0 - (-146 + 151))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 5*a + 15. Let q be s(-2). Solve -5*m - 3*y - q = 0, -4*y + 13 = m + y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1003*k - 8487. Calculate the lowest common multiple of 90 and p(9).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5 + -3*(-1 + sqrt(475) + -2) - (sqrt(475)*2 + sqrt(475) + -5 + sqrt(475)*1 + 5)*5))**2.\nAnswer: -1150*sqrt(19) + 251300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2552 + 5740 = 239*o - 5512 + 898 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -60. Let y = -108 - -150. Let b = 47 - y. What is the nearest to 2 in -4, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/12 - 3*h**3\/2 + 9*h**2\/2 + 7*h - 32. Determine k(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -36*q - 21. Let d(b) be the second derivative of -7*b**3\/6 - 2*b**2 + b - 4. Let i(t) = 21*d(t) - 4*u(t). Let j(r) = 46*r**2. Calculate j(i(w)).\nAnswer: 414*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41384258 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 8*x. Let k be (-534)\/(-865) + 132\/(-220). Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1872\/(-108)*6\/(-56)*-28.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - 8186?\nAnswer: -81b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/1760 and 87\/220?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 12. Suppose 0 = 4*n - 15 - 1. Let o(i) = -4*i**3 - 2 + 3*i - n + 6*i**2 - 4*i. Let j(y) = y**3 - y**2 + 1. Calculate s*j(d) - o(d).\nAnswer: -2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43780252 and 17840?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 - -120 - (-56 - -157)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 240 = 3*l, 5*r + 300 = -4*l + 4*r. Let d = -70 - l. What is the tens digit of (36\/d)\/(4\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-788*v - 756*v - 690*v + 598*v)*(2 - 6 + 3)*(3*v + 3*v + 3*v).\nAnswer: 14724*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -7*n**6\/90 + n**5\/30 - 2*n - 1. Let q(d) be the first derivative of r(d). Factor q(w).\nAnswer: -w**3*(7*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 + 101 - 127 = u - 3*i, 12*i + 399 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 1\/3, 5, 7702?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 35)*(-2 - 1) + 35\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5 + 2912*t**4\/3 - 91916*t**3\/3 - 126752*t**2\/3 - 31930*t\/3 = 0.\nAnswer: -515, -1, -1\/3, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/2)\/l)**(-2\/37)*(l\/l**1)**(-14))**(5\/2) assuming l is positive.\nAnswer: l**(5\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - 1*sqrt(363))**2 + 5 + ((sqrt(363) - ((sqrt(363) - (-1 + sqrt(363)))*4 - sqrt(363)))**2 - sqrt(363)) + sqrt(363))*-1.\nAnswer: -1473 + 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11881 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17593\/14 + -1258. Find the common denominator of i and 53\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4 - 114*a**3 - 962*a**2 + 1788*a + 1120 = 0. What is a?\nAnswer: -8, -1\/2, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*0 + 26. Suppose -4*v + 100 = -4*i, 3*v + 3*i - 37 = k. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 17 = -c + 5*x, 0 = 3*x + 15. Let y(z) = -z**2 - 6*z - 3 + 1 + 0. Let g be y(-4). Solve g - 14 = -c*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/((-3417)\/(-536)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23270 divided by -26.\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108066 - 2027?\nAnswer: 106039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 8*o**2 - 7*o + 2. Let x be (-2)\/3 - 209\/33. Let j be r(x). Let g be -445*(-2 + 2 - j). What is g rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i + 7. Let k(y) be the second derivative of -5*y**3\/6 - 3*y**2\/2 + 11*y. Let j(u) = -5*k(u) - 2*x(u). What are the prime factors of j(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w - 2. Let l(u) = -11799*u + 5 + 23530*u - 11756*u. Calculate -7*a(i) - 2*l(i).\nAnswer: -6*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1)\/(2\/(-6)*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 22 = -3*p, -4*n - 10 - 18 = 4*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3134, 1, 5 in descending order.\nAnswer: 3134, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -289da?\nAnswer: -289dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*g = 4*b + 245, 104 = -2*b + 5*g. Let i = 61 + b. Find the second derivative of 16*w**5 - 14*w**3 + i*w**3 - 12*w - 11*w wrt w.\nAnswer: 320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -36 - 24. Factor 7 - 6*u + 9*u**2 - f*u**2 - 4*u**2.\nAnswer: -(u - 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20113281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) 1 (c) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + w**2 + 19. Suppose -2*t + 4*l + 364 = 356, 4*l = 8. What is the remainder when r(0) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 12*o + 15. Let a be d(-11). Suppose 98 - a = t. Let z = t - 96. Sort 5, z, -4, 4.\nAnswer: -4, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269 = -90*h + 28 + 243 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(124\/33232)\/((-4)\/32)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(((-6)\/126)\/(3024\/392)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p. Suppose -j - 2 = -3. Let y = 3 - j. Let l(x) = 8 + 3*x**y - 8 - 5*x**2. Calculate o(l(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 3. Let t = 10 - 6. Let w(v) = 135*v + 9. Let p(h) = 34*h + 2. Let g(n) = -4*p(n) + w(n). Calculate t*u(i) - 9*g(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71*z + 0*z**2 + 15*z**2 + 74*z.\nAnswer: 3*z*(5*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84 and 3.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1. Let m(u) = -u**2 - 8 + 12 + 2 - 5 - 3*u. Give m(c) - s(c).\nAnswer: -c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + a**3 - 7*a**4 + 3*a**4 + 0*a**4 + 2*a**4 + (-2*a + a + 2*a)*(5*a**3 - 5*a**3 - 2*a**3) + a**4 + 3*a - 3*a.\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4162*h - 4. Let g be ((-6)\/4)\/((-5)\/(-20)). Let a be v(g). Suppose j - a - 1565032 = 0. Round j to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -10. Let g(v) = -32*v + 4 + 8*v + 7*v + 0*v**2 + 5*v**2 - v**3 + 13*v. What is the remainder when 18 is divided by g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.6. Let j = 15 - 9. Let p be j\/(-24)*(-8)\/6. Which is the biggest value? (a) p (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2692*b*u*y - b*y + 3*b - 16*y wrt u?\nAnswer: -2692*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*d - 4850 = -24*d - 1190 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -3*n - 1350. Let o = n + 24. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + t. Suppose 0 = g + 2*g - 3. What is the units digit of n(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175.36 + 0.74\nAnswer: -174.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10692?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170088.\nAnswer: 2, 3, 19, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236780?\nAnswer: 2, 5, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - v)*(-v + 4*v - 2*v) + 83 - 15 - 2*v**2 + 0*v**2.\nAnswer: -3*v**2 + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -175 (c) 2\/31 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27741233 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 23 = -m, 0 = -985*m + 989*m - 2*g + 53 - 37 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 544 - -1226. List the prime factors of o.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 2. Let n be p(8). Let v be n\/(-21) - 220\/(-35). What is the remainder when (14 - v) + (0 - 2) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106370 - -5?\nAnswer: 106375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - 139594?\nAnswer: -1395c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-479)\/(-2) + 1 - 3\/(-2). Let a = 4116\/17 - g. Let o = 5 - 4.7. Put o, -4, -3, a in decreasing order.\nAnswer: o, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(3) - (sqrt(3) - (1 + sqrt(3)))) - (-3 + sqrt(3) + 0)) + -3)**2 - (2 + (sqrt(1323) + 0)*-5).\nAnswer: 19 + 117*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14340000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 - 37*f + 366. Let y be v(-13). What is t in t + 1\/2*t**2 - y - 1\/4*t**3 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4946*-0.1.\nAnswer: 0.14946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d + 0 - 1 - 9*d. Let j be n(-2). Is 20 a factor of 0 - (-1 + -42 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101100110111 + 10010000010000?\nAnswer: -10011011100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230023989\/4 or 57505997?\nAnswer: 57505997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -4)\/(10\/(-8020)). Let z = r + 819. Calculate the highest common factor of 5 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49411 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 77, 88, 99, 110?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from cbbbcbbccwfbbc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 - (1 + 2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5\/3, 536.5, 2 in ascending order.\nAnswer: -5\/3, 1\/2, 2, 536.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8275 + -8255. What is the fifth biggest value in -2\/5, i, 0.1, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-6) + (-60)\/(-30)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(1\/4) assuming j is positive.\nAnswer: 1\/sqrt(j)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 15757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 2*l**3 + 3*l**3)*(-4*l - 13*l - 14*l) - 2*l**2 + 2*l**2 - 2*l**4.\nAnswer: -33*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89818, -172149, -254480, -336811, -419142, -501473?\nAnswer: -583804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from {a: 2, y: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.052m in nanometers?\nAnswer: 465052000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -403723, -403707, -403689, -403669, -403647?\n\"Answer: r**2 + 13*r - 403737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12463\/87437 - -4\/12491. Which is the closest to -10? (a) u (b) 10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*a - 47*w + 210, 2*a + 20 = 4*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 20*v - 21. Let p be m(21). Is 5\/((-10)\/(-254)) - p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 5:42 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000170982 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -29 - 3. Let h = 4 + x. Let a(l) = 4*l**3 - l**2 + 13*l. Let k(v) = v**3 + 3*v. Let o(s) = h*a(s) + 18*k(s). Factor o(f).\nAnswer: 2*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13047 >= -13046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 3*o - 6. Let i be r(5). What is the second derivative of -4 - 2*q - q + i + 3*q**4 wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*w = 0, -4*l - 9*w + 4*w + 33 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 8*t - 2. Is t at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458, -532, -656, -830, -1054, -1328?\nAnswer: -1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5384 - 5390. Are -196\/27 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -51*s**2 - 508*s + 372. Let z be x(-5). Factor -6\/13*p**3 + 12\/13*p + 0 + 14\/13*p**z.\nAnswer: -2*p*(p - 3)*(3*p + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4575)\/(-610))\/(3*(-1)\/(-6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625 and 2575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 8*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 2*d**2 - 8*d - 1. What is the units digit of g(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10298*j - 10242. Determine w(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456 divided by -57.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678937 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: Rearrange 710*o - 1428*o + 826*o to the form n*o + t and give n.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -235\nAnswer: -13\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761636.\nAnswer: 2, 190409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 392. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(4870 - 4870 + 9*s)*((3 + 4 - 5)*(2 - 2 - 2) + 3 + 0 - 1).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39482 or -39473?\nAnswer: -39482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.357 and 788.\nAnswer: 787.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -p - 3*p + 8, -5*p - 8 = -4*w. What is the second derivative of -33*f**2 + 58*f**w + 2*f - 32*f**2 wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, -17, -8 in descending order.\nAnswer: 4, -8, -17, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.209 to two decimal places.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-185)\/(-148)*-13*784\/(-1820)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = w - 5*o + 362, 4*w + 1450 = -2*o. Let k = w + 371. Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 579, 476, 303, 66, -229, -576?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 - 1. Calculate l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 483 and 345?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*p + 34 = -t, -5*t + 4*p - 35 = 0. Let w be (-2 - t)*-2 - 5. Let b(y) = -2*y + 4. Let u be b(w). What is the highest common factor of 144 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 - r**2 + 4*r**2)*(1 - 1 - 5) + 0*r**2 - 4*r**2 + 2*r**2 + (4*r**2 - r**2 - 5*r**2)*(3 - 2 + 0) + r**2 + 14*r - 14*r - 4*r**2 + 2*r**2 + r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 193 + -116 + 36 - 76\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 87, 70, 37, -18, -101, -218, -375?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from pquzv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (213\/69 - 7).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/71400 and -47\/30600?\nAnswer: 214200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvtv when four letters picked without replacement from {v: 5, t: 10, n: 4}?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -0.2, -31, -4.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = 16. Let x be (0 - 12)*n\/3. Suppose 5*m + 2*j = 57 - 12, -2*m = -3*j - 37. What is the highest common factor of m and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131023122 - 23012?\nAnswer: -1131112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (51\/(-15) - -3)\/(26\/(-26)). Let r be (-2 - -1) + 2 + 0. Which is the nearest to 1? (a) r (b) g (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-90))\/((-11632)\/407120)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7.07. Let f = -0.37 + s. Which is the third biggest value? (a) 0 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579442 is divided by 105?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 8:22 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -20*x**3 - 19*x**2 + 6*x + 85. What is n(0)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1361673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1333, -3188, -5567, -8464, -11873, -15788, -20203, -25112?\nAnswer: -30509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1741*n**2 - 137*n + 1 wrt n.\nAnswer: -3482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 235*z + 1411. Let v be w(-6). Let p(q) = 6*q - 30. Give p(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = -3*z + 3, o + 19 = 5*z. Solve 35 - 9 = x + z*l, 5*l = 5*x + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312 divided by -8\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/120 - l**4\/4 + 13*l**3\/12 + 35*l**2 - 6*l. Let v(r) be the first derivative of q(r). Solve v(f) = 0 for f.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 13656 = -13716 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33540135 (base 6) to base 7.\nAnswer: -11463062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 65 + (-384)\/(-54)*-18\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -98*65\nAnswer: -6370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 160, 186, 212, 238?\n\"Answer: 26*l + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -380.97 to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 79237.4 kilometers?\nAnswer: 79237400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = i + 5*a - 131, -2*i = 5*a + 57. Let x(l) = -37*l**3 - 13*l**2 + 13. Let d(z) = -9*z**3 - 3*z**2 + 3. Calculate i*d(y) + 6*x(y).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2971 + -8824\/3. Let u = h + -30. Sort u, 0, -2.\nAnswer: -2, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 2*n**2 + n + 4. Let r be x(-3). Is ((-4)\/r)\/((-3)\/(-330)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -41 - 43) + 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94224)\/18120*(-5)\/481.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(196) - sqrt(196)*-1) + sqrt(196) + sqrt(196) - sqrt(196)) + sqrt(196))\/sqrt(7))\/(-1*sqrt(4)*1) + sqrt(175) + -2 + sqrt(7) + sqrt(63) + 5)**2.\nAnswer: 30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 60*w - 11. What is the remainder when 549 is divided by r(19)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 11.2, -114?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 133. Let b be d + 1 - 12\/(-3). Which is bigger: b or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/737681 - 5261878581\/2950724. Let r = q + 1761. What is the common denominator of r and -57\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 281*v**2 + 241*v**2 - 487*v**2 + v as j + d*v**2 + p*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1017578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 24276*p**2 + 291744*p - 875664.\nAnswer: -4*(p - 6)**2*(p + 6081)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4721, 9433, 14145, 18857, 23569?\nAnswer: 28281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 20, 240 = -8*m + 3*m - w. Let v = -25 - m. Calculate the remainder when v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/(-48)*(7 - 3 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 14. Let v(r) = -2*r + 28. Let a(o) = 5*s(o) + 3*v(o). Let k(d) = d**2. Calculate k(a(m)).\nAnswer: m**2 - 28*m + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = x - 76, 96 = -0*f + 3*f - 3*x. Calculate the remainder when (2 + -3)\/(1\/(-78)) is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let u be (-1 + 12)\/f*1. Let x be ((-30)\/25)\/(6\/(-440)). What is the highest common factor of x and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123ec (base 15) to base 8.\nAnswer: 161640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x - 651*x**2 + 3305*x**2 + 241*x**2 + 2419*x**2. Let h be q(-4). What is h rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480740?\nAnswer: 2, 3, 5, 23, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87220 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 37 + 5*z**2 - 58 - 3*z + 26 - z**3 + 7*z. Suppose -6 = -3*b - k, -2*b - k = 4*k + 9. Let a be (-6)\/b*(-1 - 2). Give r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*p - 557 + 557)*(-230 - 48*p + 228 - 7*p).\nAnswer: 7865*p**2 + 286*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 939077, 939065, 939051, 939035, 939017, 938997?\nAnswer: 938975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, 10683, 3, 44 in ascending order.\nAnswer: -132, 3, 44, 10683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 8*v + 5. Suppose -5*p = -9 - 1. Suppose t + p*t = 18. Does 10 divide k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -49, 4, -2\/9 in descending order.\nAnswer: 4, 0.4, -2\/9, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, 138, 303, 566, 945, 1458, 2123, 2958?\n\"Answer: 3*w**3 + 22*w**2 - 2*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13596 and 47388?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.52 - -1.02. Which is the fourth biggest value? (a) 0.2 (b) q (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34720.6 litres?\nAnswer: 34720600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 3*s + 3*s)*(-s - 2*s + 2*s) + s**3 - 1 + 5*s**3 + 15*s**3.\nAnswer: 23*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {h: 1, q: 3, o: 2, d: 1, t: 3, b: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = 253 - 673. Let w be (13\/(-5) - (17 - f))*4. Let -w + 36*d**3 - 8*d - 162\/5*d**4 + 6*d**2 = 0. What is d?\nAnswer: -1\/3, -2\/9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -82?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-6) + 19 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 973*t**2*w**5 + 9631*t**2*w**2 + 460026*t**2*w - 2*t**2 + t*w wrt w?\nAnswer: 19460*t**2*w**3 + 19262*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15376 - 169021\/11. Which is greater: 9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 3220*j - 9615.\nAnswer: -5*(j + 3)*(j + 641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let k(y) = 4*y**2 - y + 1. Let q be k(1). Let g be 20\/q + -4 + (0 - 3). Put 0.1, g, z in ascending order.\nAnswer: g, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15220 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 77 divided by -2\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + s**2 - 2*s + 1. Let x = -78 - -84. Suppose -x*v = -17 + 59. Let l be (-7)\/v*(2 + -2 + 1). What is k(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f - 3. Let n(y) = -1. Let j(c) = -g(c) + 3*n(c). Let o(m) = -2*m**2. Give j(o(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 54*q**2 - 21*q + 38. Let m(z) = -2*z + 6. Let r be m(2). What is the remainder when b(r) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57\/11 + -4244\/715. Let x = 4171\/13 - 321. Let q = x - l. What is the smallest value in -7\/4, -3\/5, q?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -14 - ((-232)\/(-58) - (-996)\/102)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3742 < -3726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*n + 43, -5*b + 40*n = 39*n + 37 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**2 - 63*k**2 + 72*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 3*b**3 + b**3)*(-4*b + 4*b - 7*b).\nAnswer: -35*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1259548 divided by 314887\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) - (-23)\/(-3). Let j(m) = m - 4. Let d be j(2). Let r be (4\/(-10))\/(3\/(-15)). Sort r, z, d.\nAnswer: z, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6ece (base 15) to base 6\nAnswer: -301122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w - 140 = -3*j, -3*w + 138 = 3*j. Let c = 72 - j. Suppose -3*z - 8 + 2 = 0, -5*z = -5*h + c. Solve -h*s - 21 = -9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + h + 11, -4*h + 8*h = -8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k + 32. Determine p(-9).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30a05 + b?\nAnswer: 30a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 69 + -68 + 32 + 28\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - r**2 + 3. Let v(b) = -5*b**3 - 11*b**2 - 11*b - 33. Let n(g) = -2*p(g) - v(g). What is n(-12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nini when four letters picked without replacement from niniini?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -17. Calculate the least common multiple of p and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*m - 4 = -0*m, -5*d - 5*m = 20. Let t(z) = -z**3 - 30*z - 370 + 30*z + 369. Let h(x) = 4*x**3 - 2. What is d*t(y) + h(y)?\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)\/(-4) - 0. Suppose 2*c + 2*c = p. Solve 0 = -o, c*l + 2*o - 10 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 + -7 + -2 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-12) + (-281)\/(-30) - (-12)\/(-10).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-462)\/11*10\/90.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/166 and -41\/2730?\nAnswer: 226590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 - 3*p**3 + 17 - 4*p**3.\nAnswer: -12*p**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1038*a + 2218. List the prime factors of y(-10).\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*l**2 - 86\/11*l + 8 = 0. What is l?\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*p**2 - 45*g*p + 22336*p**2 - p - 14 wrt p.\nAnswer: 2*g + 44672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*m - 132*m + 430. Solve 3*z = m*n - 2*z + 10, -3*n + 2*z = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u - 3*u - 2*u)*(0*u + 4*u - 3*u) + 1 - 1 - 3*u**2 - 109 - 12*u**2 + 109 - 3 + 3 + u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300 (base 4) in base 11?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 706829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 66120.\nAnswer: 462840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36265 + -21015. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (71\/(1136\/(-1504)))\/((-39)\/26*12\/27)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {j: 7, p: 4, b: 2, o: 1, x: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 6) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.3 (c) 15 (d) 0 (e) -0.93 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 12, 8*y - 10*y = 2*p - 28. Suppose -2*b + x - 1 + 5 = 0, 2*x = -8. Suppose b = -g - p*g + 1045. List the prime factors of g.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312312 (base 5) in base 3?\nAnswer: 2010001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4061498 is divided by 12976.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 10) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/670, 0.03, 402\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 12:46 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3750935*x**6 + 4573992*x**2.\nAnswer: -450112200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:54 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)*g)**24 assuming g is positive.\nAnswer: g**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/793 and 15\/679289.\nAnswer: 41436629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*s**2 + 9*s**2 + 13*s**2 + 37*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6441 - 6411. Let g(x) = x**3 + 13*x**2 + 11*x - 4. What is the remainder when b is divided by g(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201759\/150146 - 12\/2029. What is the common denominator of -117\/14 and t?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316065153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2205 and 31.\nAnswer: 68355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-seven halves of a second?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1212?\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 1218?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/21)\/(18\/27).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/105 - -1567\/840. Factor 3\/8*t**3 + 1\/2 - u*t + t**2.\nAnswer: (t - 1)*(t + 4)*(3*t - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuyy when four letters picked without replacement from {u: 14, j: 2, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1.4. Let w = 0.6 - c. Which is greater: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50217207 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 132 + (31 - (64 - -7))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.75131ug to nanograms.\nAnswer: 19751.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-99)\/(-55)*(-50)\/(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1303674 divided by -6\nAnswer: 217279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18704, 37388, 56062, 74726?\nAnswer: 93380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 5:20 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 961\/31) + 29\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 840, 1255, 1670, 2085, 2500?\nAnswer: 2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-11) + (-2)\/11. Let h be 2*(u - (-3)\/6). Let b be h\/(-9)*4\/2. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/17 - 246*m**4\/17.\nAnswer: 2*m**4*(m - 123)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69\/5*f - 6\/5*f**3 + 9\/5*f**2 - 36\/5.\nAnswer: -3*(f - 4)*(f + 3)*(2*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -957*t + 962*t - 0*p + 5*p - 20, 20*p + 224 = 76*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/(-14) - 7)\/(1\/(-376)). Suppose -p = -5*x + x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {j: 1, i: 1, g: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 36, -0.5, -3, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 487579, 487554, 487525, 487492, 487455, 487414?\nAnswer: 487369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Add together -122629767 and -61.\nAnswer: -122629828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - (-2)\/3. Let j be (-1 - (-4 - 285\/112)) + -4. Let w = -11\/16 + j. Sort w, t, -3, -3\/5 in decreasing order.\nAnswer: w, t, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*o**3 - 3*o**2 + 46406*o - 689241 wrt o.\nAnswer: -69*o**2 - 6*o + 46406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18564764?\nAnswer: 2, 4641191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, -470.\nAnswer: -470, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1780 and -7672?\nAnswer: 9452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 1960320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-24)\/(x**17*x)*(x**(1\/2)*x)**(-10))**24 assuming x is positive.\nAnswer: x**(-1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3435 divided by 2.\nAnswer: -3435\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 861820905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 596810569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-134.\nAnswer: -4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 647.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wggf when four letters picked without replacement from wgzxgzlf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*m - 24. Let z(c) be the third derivative of c**5\/60 - c**4\/4 - c**3\/6 + 665*c**2. Determine z(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 752 + -163. Let z = -918 + a. Let p = 472 + z. Calculate the greatest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -39. Let y(w) = -w**2 - w - 1. Let n(p) = 5*p**2 + 3*p + 2. What is l*y(x) + 2*n(x)?\nAnswer: 4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/61 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.358\nAnswer: 0.1432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 101021030?\nAnswer: -101021033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {d: 1, m: 2, u: 7, e: 4, h: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)*x)**7\/((x**0*x)\/x)**(-2\/77))\/((x\/((x**5\/x)\/x)*x*x\/((x\/x**2)\/x))\/((x*x**(-1\/3)*x)\/x**(-4))) assuming x is positive.\nAnswer: x**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + i - 13 = 0, -3*i = -5*t - 5*i + 17. Let j = t + -1. Find the third derivative of 4*y**j + 3*y**4 - y**4 + 2*y**2 wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 4*j**3\/3 - 5*j + 28. Differentiate m(r) with respect to r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-7)*(-3)\/(4*6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9))**(-9) assuming k is positive.\nAnswer: k**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244669*a**3 - 37*a**2 + 244672*a**3 + 37*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 8. Let k be u(7). Let v = k + -5. Which is the nearest to -3? (a) v (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8257 - 8156.42. What is s rounded to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6641 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -271747801*x**6 - 509261708*x**2?\nAnswer: -32609736120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*t = -106*t + 84. Suppose 4*n = 2*u - t, 11*n - 3 = -u + 9*n. Solve 16 = -u*h + 1, -4*y = 4*h + 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:32 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 306 + 523 = -46*z. What is the nearest to 0.4 in -4, -2\/9, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -10. Find the first derivative of 3*j - 1 - z*j + 2 + 0 wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2. Let t(m) = -4*m**2 + 2*m. Determine 2*o(c) + t(c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02133155167 to five dps.\nAnswer: 0.02133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.01, -100 in decreasing order.\nAnswer: 6, 0.01, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9528108l in millilitres?\nAnswer: 952.8108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8185907 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775341 and 826119.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0625 and -2.9329115.\nAnswer: -2.9954115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 15) to base 13\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 7, -76, -0.14, -1\/7?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzzggzzgzpetg. Give prob of picking 1 e and 1 g.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -83*u + 6. Let c(w) = -1991*w + 143. Suppose -7*f = -0*f + 1001. Let k(z) = f*d(z) + 6*c(z). Let y(t) = 2*t. Give k(y(g)).\nAnswer: -154*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1*(-4)\/44). Let p = -10 - v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:00 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 187, 310, 523, 832, 1243?\n\"Answer: b**3 + 39*b**2 - b + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**7\/70 + w**5\/120 + 2*w**3 + 5. Let j(f) be the third derivative of z(f). What are the prime factors of j(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -4, 13, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:10 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -2\/7 (c) 879 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from namntmmmntna. Give prob of picking 3 a and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = -258*v + 41 - 3024 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -6. Suppose a - 2 = -x - 6, -2*x - a = c. Let b = 7 - 6.97. What is the biggest value in -4\/7, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 24*u - 191. Calculate the lowest common multiple of q(68) and 1179.\nAnswer: 12969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -15. Suppose -q + 1 = -h. Suppose -1 = h*p - 9. Is 4 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 10:09 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c + 9. Let y be a(0). Let d be (-1434)\/(-9) - 3\/y. Is (7\/21)\/(1\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 - 6322930*i**3\/3 + 9994892560825*i**2\/3 - 33316150463000*i + 83290244430000.\nAnswer: (i - 3161460)**2*(i - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/70 and 61\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 2*c**2 + 8*c + 4. Let v = 14 - 18. Let f be t(v). Let a be ((4 - 2) + -4)*-1. Solve -4*r = 2*g - 14, -f*g + 2 = a*r - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 88 = 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.4. Let n be 6\/22*14\/42. What is the second biggest value in n, 0.1, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187320 + 186529.97. Let l = x + 790. Are l and 63 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169098*i + 12648 = 169625*i for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*z + 3*z - 11*z - 3*z + 37*z**2 + 15*z to the form m*z**2 + r + q*z and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3894972?\nAnswer: 2, 3, 17, 61, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 56*f**5 - 6*f**4 - 6*f**3 - 2*f**2 - 46*f + 6. Let z(w) = -w**4 - w**3 + 1. Let r(n) = -p(n) + 6*z(n). Find the third derivative of r(c) wrt c.\nAnswer: -3360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a - 10. Sort a, -2, 1.\nAnswer: -2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g**3 + 27*g**2 - 3*g + 10. Let z be l(4). Let m be (-9)\/(-54) - 52019997\/z. Round m to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455 - 287*i - 873 + 433 - 650*i.\nAnswer: -937*i + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**2 - 18*o**2 + 22*o**2 + 3*o - 6. Calculate c(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 15 = -0*l. Let z = 0 + l. Is 153\/z + (-6)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57866710 divided by -5260610.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -30*(10\/(-3) - 0). Suppose y - t = 6*y. Let z = -12 - y. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + ((-2)\/2 - 5). Let u(o) = -3*o - 3. Let x be u(2). Let k be (x\/i - 2)*0. Solve 3*p - 2*p - 4 = k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**3 - 5*y**2 + 4*y - 6. Suppose 541*j - 534*j = 7. Let i(q) = -q**3 + q**2 - q + 1. Calculate j*h(d) + 6*i(d).\nAnswer: d**3 + d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 75, 108, 153, 210, 279, 360?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348 and 25050.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3917, 3934, 3951, 3968, 3985, 4002?\nAnswer: 4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 154, 194, 210, 196, 146, 54, -86?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 3*f - 141*f**2 - 4*f + 7*f - 54*f**2 to the form o*f**2 + n + s*f and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -6. Suppose 0 = 3*n - 2*g - 25, -2*n + 4*g + 15 = -3*n. Suppose 4*f = -5*t - f - 15, -n*t + 35 = -5*f. Solve a = t*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**7\/1960 + 3*z**5\/280 - z**4\/28 + 9*z**3 - 20. Let l(f) be the third derivative of q(f). Solve l(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 2283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 541731 + -2 + 3 + -11 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/32)\/(1419\/(-88) - -16) + 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 323*h**2 + 2*h. Let g be o(2). Let n be ((-213)\/(-355))\/((-9)\/13365*-11). Calculate the greatest common divisor of g and n.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40515.\nAnswer: 3, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 425 - 94324*b + 94324*b + 4*b**2 in the form f + s*b + v*b**2 and give f.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 16 + -3 + 674. Let m = o - 677. Solve -2 - m = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 3*u - 11*u - 20*u.\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/13)*w*((w**9*w)\/w*w)\/w)**(1\/6) assuming w is positive.\nAnswer: w**(43\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 42435, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14130 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 4*t + 3. Let k be f(3). Let g = -17 - -41. Let v be 2\/g*(2 + 1). Which is smaller: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, -0.9, 4, 1.8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1263048166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/2 + 1\/2*d**3 + 9\/2*d**2 + 15\/2*d.\nAnswer: (d - 1)*(d + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 346*m*z**2 - 99*m - 17199*z**2 - 9262 wrt z.\nAnswer: 692*m*z - 34398*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*p + 6 - 2, 0 = 5*p + 3*v + 12. Let o(d) = -d**2 - 2*d - 3. Let u be o(p). Which is the third smallest value? (a) -1\/8 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 149*j**2. Let l(q) = 33*q**2. Give l(c(b)).\nAnswer: 732633*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 124*q. Let x(c) = -13357*c**2. What is l(x(n))?\nAnswer: -356818898*n**4 + 1656268*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -2807069804380.\nAnswer: -2807069804380.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/780*-13*9\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-48))\/((-2)\/2). Let a(m) be the third derivative of f*m**4 + 0*m + 0 + 1\/6*m**3 + m**2. What is the derivative of a(o) wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129 - -643\/5. Let x = -4.3 - -9.3. Which is the closest to 0? (a) r (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*k + 1014, 7 - 1719 = 5*k - 4*w. Let y be ((-8)\/6)\/((-884)\/k). Which is bigger: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 430 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3 + ((0 + (sqrt(1900) - sqrt(1900)*-2))*-6 - (-3*(1 + sqrt(1900)) - (-1*sqrt(1900)*2 + sqrt(1900) - sqrt(1900)))))*5)**2.\nAnswer: -3400*sqrt(19) + 13727504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -18*i**4 + 5*i**3 + 5*i**2 - 5*i - 17. Let o(q) = -9*q**4 + 3*q**3 + 3*q**2 - 3*q - 8. Let t(j) = 3*k(j) - 5*o(j). Differentiate t(g) wrt g.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7467281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1084081*f**2. Let m(u) = -6*u. Calculate c(m(k)).\nAnswer: 39026916*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 6*o**2 + o + 6. Let b = 8 - 3. What is the tens digit of k(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69621 (base 14) to base 9.\nAnswer: 430635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -226, 34\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g*g**(1\/2))*g)*g)**(-3\/8)*(g\/g**(-2))\/g**6 assuming g is positive.\nAnswer: g**(-63\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54028?\nAnswer: 2, 13, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 1. Let r be 0 + -1 - n - 2. Let k = r - -1. Solve 3*d = k*z + 3, -d + 2 = -3*z + 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 10*q**2 - 5. Let l be d(-10). Put l, -2, 2 in decreasing order.\nAnswer: 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57563.751 + 57613. Let y = w - 49. What is y rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -4*sqrt(170) - sqrt(170))*-1)\/(-1*sqrt(640) - sqrt(10)).\nAnswer: 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 5b8?\nAnswer: -5b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {n: 4, t: 1, j: 2, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125134770721 + 2*x**2 + 125134770721.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9 - 16*k + 3*k**2 + 7*k + 3*k**2 + k**3. Let p be t(-7). Solve p*v - 5 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -72. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*j + 67*j - 312 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -18?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441653 is divided by 48?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 3*j - 3. Let g be a(-2). Suppose -4*t = 5 + g. Let z(m) = -391 - 393 + 788. Let r(h) = -h - 2. What is t*r(o) - 2*z(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18))\/((14\/(-9))\/7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, h: 5, w: 7, u: 2}. What is prob of picking 1 w and 1 h?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 6*s**3 - 7*s**2\/2 + 9*s - 4. Let q(v) = -v**3 + 4*v**2 + 7*v - 1. Let z be q(5). Is k(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 19. Suppose 4 = 2*v, 3*m + 3*v - b - 5 = 0. Solve -m = 4*i + 3*l - 7, 6 = -4*i + 3*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + 46. What are the prime factors of f?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -935*-4566\nAnswer: 4269210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -767 - -119. Let h = g - -631.04. Let u = h + 17. Which is the third biggest value? (a) u (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*x - 14*x. What is the remainder when 13 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 276589968 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-14))\/((-828)\/(-966)). Let d(l) be the first derivative of 12 + v*l**3 + 0*l**2 + 0*l. Factor d(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ee1 - -8e00?\nAnswer: bde1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 1, -25, -81, -173?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, c: 1}. Give prob of picking 1 s and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o + 4*s - 8 = 0, 4*o - 5*s = -31. Let x be (-1)\/o + 15\/4. Suppose -3*y + 12 + 0 = 3*j, j - 10 = -4*y. What is the nearest to 2 in x, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a)**47\/(a*a**7*a**(1\/5)*a) assuming a is positive.\nAnswer: a**(-1926\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -463 (b) -0.4 (c) -1\/2 (d) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3721*m + 7449*m - 3730*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721240 is divided by 146.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:47 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Suppose -20 = -4*y, 0 = v*n + 3*y + 31 - 74. 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 m(s) = -s**2 - 31*s - 236. Let x be m(-14). Let n = -15 - -41\/3. What is the nearest to 2\/3 in n, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -138 + 1426?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1229306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -521 + 570. Calculate the lowest common multiple of 63 and i.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 10:34 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert d31 (base 14) to base 2.\nAnswer: 101000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2. Let f(v) = 62*v - 149*v + 76*v. Determine u(f(c)).\nAnswer: -605*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -114573 (base 8) to base 14\nAnswer: -10467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*n - 96, 4*w + 142 = 4*n + w. Let l = n + -3. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*c - 258*c - 13*c)*(4*c + 7*c**2 - 4*c).\nAnswer: -2268*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14 - 15 - 5*o + 4*o. Let h be u(-4). Suppose -14*k = -15 - 13. Solve -5*i + h*i + k = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*c, c + 27*m + 4 = 29*m + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 492897884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203001300 rounded to the nearest one million?\nAnswer: 203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175860*b**2 - 341565*b**2 - 245497*b**2.\nAnswer: -411202*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -12 (c) -23.6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {z: 1, r: 2, m: 2, n: 7}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770 = f - 6*f - 4*j, 3*f - 462 = -4*j. Let q be 1534\/14 - (2 + (-68)\/28). Let r = f - q. Calculate the highest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 4:45 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/27? (a) 2\/21 (b) 0.2 (c) 0.05 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 4118 + 868. Let s = y - -128. Calculate the remainder when s is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9768)\/2368)\/(12\/(-96))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 - 5*w - 9. Let n be v(-3). Solve -4*h = -u + 19, -h - 3 = 4*u + n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4877153404*n**2 - 39 - 2 + 4877153405*n**2.\nAnswer: n**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 105?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4 = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwewwwzpzpp. Give prob of sequence ezpp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -862.66424 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 11*j - 5. Let t be u(10). Suppose q = -4*x - 33, -5*x - 32 = -t*q + 3. Let f(g) = -3*g - 2. Is f(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1094, 30, 13, -8, -1 in decreasing order.\nAnswer: 30, 13, -1, -8, -1094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/11 - 2300*z**4\/11 + 115110*z**3\/11 + 122000*z**2\/11 - 234808*z\/11 = 0 for z.\nAnswer: -1198, -2, 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -253 - 10526?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - c - 4*y, -9 = 3*y. Suppose -u = c*a - 4, -2*a + 3*a = 3. Let j be 4*((-6)\/4 - -2). Put 0, 4, j, u in descending order.\nAnswer: 4, j, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5. Suppose b - 4 = -w, -5*b - 16 = -2*w - 2*w. Suppose 0 = -5*o - i + 10, i + w = 2*o - 2*i. Sort l, 4, o in increasing order.\nAnswer: l, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 47*y - 230. Let z be u(5). Let h(a) = -a**3 - 4*a**2 - 2*a + 3. Let d be h(-3). Let p = d + 3. Solve q - x + 1 = 0, -p*x + 0 = -z*q + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 3645*l**2 + 25476*l - 36380.\nAnswer: (l - 3638)*(l - 5)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.04 - -0.04. Let d = -2.99 - z. Let s = d - 0.11. Which is the nearest to s? (a) 4\/3 (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-63)*21\/6. Let h(c) = 1 + 3 - 2*c - 21 - 11. Let s be h(-13). What is the second smallest value in o, -15, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6.9. Let w = t + -0.08. Let r = 0.03 + w. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -220*y**4 - 18*y**3 + 453. Let k(b) = 221*b**4 + 21*b**3 - 452. Let h(r) = -7*c(r) - 6*k(r). What is the derivative of h(x) wrt x?\nAnswer: 856*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.006 - -83.994. Let d = 177 - b. Let x = d - 97. What is the second smallest value in 2\/3, 2\/13, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1240 + -676. Suppose -10*i + z = -22*i. Let a = i - -95. What is the greatest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835702979?\nAnswer: 37, 43, 317, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2311 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -1. Let a(m) = m**2 - 1. Let f(p) = -p**3 - 11*p**2 + 11. Let q(z) = c*f(z) - 22*a(z). Let d(o) = -o**3. What is -6*d(r) - 2*q(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-2 + sqrt(539) + -4)**2 + 1 + 1.\nAnswer: 56*sqrt(11) + 557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1298461 and 73\/2696.\nAnswer: 10387688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 3:40 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7453 + -7506. Let l be 1*-1*16\/4. What is the third biggest value in -0.2, l, j, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 1837*a - 1840*a - 23 = 0, -30 = -4*w + 2*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -853677, -1707319, -2560961?\n\"Answer: -853642*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - 16*w - 2*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/27, -18857, -2\/175?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -1095, -2086, -3143, -4266, -5455, -6710?\nAnswer: -8031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 957 divide 45939905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 71 = 13*n. Let c = 154 - n. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491 = -4*v - 2*g + 11755, 5*g = -2*v + 6635. What are the prime factors of v?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/15? (a) 0.2 (b) 1 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2031 divided by 15\nAnswer: 677\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + -1.1. Let q = g + 0.3. Let x = -2.100009 - q. Round x to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18165857\/910 + -99813\/5. Calculate the common denominator of 59\/189 and z.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7005331523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-159782 - 3)*-4. Let k(n) = -z*n + 1 + 169138*n - 1. Let g be k(2). Round g to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2503259, -5006519, -7509779, -10013039, -12516299?\n\"Answer: -2503260*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184646802.\nAnswer: 2, 3, 1117, 27551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6*i = -4*f + 21, f - 18 = -5*i. Suppose 0 = -f*x + 54 - 9. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 12*n + 16. Let t be a(13). Solve 0 = -t*d - d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 14*m = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = -5*f + 3760. Let n = f - 152. Is 36 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 3*d + 8, 44 = 3*s + 15*d - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 5*u**2\/2 - 3*u - 10. Determine x(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 10*p**2 + 12*p + 19. Let a be f(8). Let q(n) be the first derivative of -5*n**2\/2 + 18*n + 4. What are the prime factors of q(a)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - 11)*15\/(-50).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12 = 2*m, 0*i + 2*m = 2*i - 6. Suppose 87 = i*d - 43. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -12*r - 91. Suppose 4*l - r = -26. Is 3\/19 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233074.\nAnswer: 2, 616537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 11*t - 8. Let q be w(10). Suppose -g - 2*x = -5, q*g + 2*g - 10 = 2*x. Calculate the highest common divisor of g and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 131, 106, 33, -112, -353, -714, -1219?\n\"Answer: -4*b**3 + 3*b + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 578, 5, -0.4, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*r + 3*r, -g + 29 = 4*r. Suppose -386 - 631 = -g*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/45340 and -29\/14700?\nAnswer: 33324900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -35. Solve -4*y + r = -3*j, -j - y + 5*y - 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:47 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.1. Let q = 15 - 16. What is the nearest to q in s, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.3, 0.3, -5, 18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*m + 12345 - 3803 = -8972 for m.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 + -188.8. Let p = -4.2 + n. Which is the smallest value? (a) 4 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 38)*((-9)\/6 - -1). Suppose -4*f + 3*n = -z, 2*n = 3*f - 0*n - 13. What is the units digit of 71 - (f + 4 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 1. Let v(y) = 4*y + 3. Let i be v(-2). Let l(t) = -5. Calculate i*x(f) - l(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8438380 divided by -2209.\nAnswer: 3820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/15 + 35762*k**4\/15 - 501844*k**3\/5 = 0. Calculate k.\nAnswer: -17923, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a - 30. Suppose p = a*p - 25. Suppose -p*c + 5 = -10. Solve -4*y + c*w = 3, -12 = y - 3*w + 6*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7*c = -p + 5754, 5*c = -5. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*y - 3*y + 475, 0 = 4*a + 2*y - 1930. Is 80 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/564 and -23\/114116?\nAnswer: 342348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4166 + -4112. Solve 17*c + h = 8*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (464 - 487) + (-21 - -10) + (-2 - -1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 = 5*s - 8, -3*s - 10 = -4*p. Find the common denominator of 2\/5 and -5 + 1 - (-1)\/s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -5*z + 3*t - 12, -3*z + t = -3. Suppose 3*w - 3*a - 307 = w, z = 3*w - 2*a - 453. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-5)*(-625)\/25. Let j(c) = -13*c**2 + 4*c - 6. Let m(d) = 11*d**2 - 4*d + 4. Let x(k) = b*m(k) - 4*j(k). Determine x(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/23, -1, -0.5, 8\/11, 4\/9, 5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2)*(-4 - -5). Suppose -4 + a = 4*m. What is the units digit of (21\/(-2))\/(m\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**3 - 4*k**2 - 21*k - 28. Let q(l) = -2*l**3 + l**2 + 5*l + 7. Let j(w) = -2*g(w) - 9*q(w). Is j(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/15*((-90)\/(-12))\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 8*g + 4 = 0. Put -79, g, -3, -1 in ascending order.\nAnswer: -79, g, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 3 = -2*g - 11, -192*i + 197*i - 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3937*m**3 - 1501*m**3 + 1547*m**3.\nAnswer: -3891*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f - 5. Let r be b(0). Let m be -1 + ((-447)\/r - 4\/10). Let l(s) = -3*s**2 - m + 2*s**2 + 88. Give l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60, -126, -192, -258, -324?\n\"Answer: -66*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196657?\nAnswer: 3, 41, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 155*t**3 + 17*t - 17. Let v(s) = -26*s**3 - 3*s + 3. Determine 6*l(d) + 34*v(d).\nAnswer: 46*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 - -0.85. Let p = k - 1.5. Sort p, -1\/4, -62.\nAnswer: -62, p, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2093726ml?\nAnswer: 0.0002093726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 12?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -10) + 9 + 19 + -44 - -43?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2 + 121*a + 8 in the form z*a + v and give z.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jillillllllgl. What is prob of sequence lg?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 25*v - 87. Suppose 1 = 5*f - 2*i - 50, 2*i = -4*f + 48. What is the remainder when s(f) is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 m when three letters picked without replacement from {w: 3, i: 1, r: 4, o: 1, s: 4, m: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbmmmmm. Give prob of picking 1 b and 1 m.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z + 7. Let j be 9\/((-180)\/(-88))*15\/6. Suppose 15*q - 13*q - 2*w + 10 = 0, 4*w = -q + 10. Let x(f) = 21*f + 35. Determine j*c(t) + q*x(t).\nAnswer: 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17222 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + 658\/19920. Let n = -66\/35 - -16364\/8715. Let g = n + z. Is g smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -2c58473?\nAnswer: -2c5846c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*x**4 - 3101*x**3 + 2*x**2 - 50*x - 346.\nAnswer: -384*x - 18606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 8*c**2 + 6*c - 5. Let f be n(-7). Let l = 75014 + -75014. Sort 12, 1, f, l in increasing order.\nAnswer: l, 1, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11403 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4 = -a, 2*c - 390 + 376 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1215*u + 1223*u. Suppose u = -4*s + 4*z + 5456, 7*z - 2*z = -25. List the prime factors of s.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, n: 13}. What is prob of sequence lnnl?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -2 - 2) + (-13 - (11 + -48)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/11362 and -75\/2375152.\nAnswer: 54628496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -70830 - -0.2?\nAnswer: -70829.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-2))\/(-3))\/(14 - (-1989)\/(-144)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - 60)\/((3 - 2)*-8) and -49\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p**2 - 413*p + 1495. What is b(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:00 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50.9 - -78398886127.\nAnswer: 78398886177.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:42 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4448 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j. Let v = 20 - 11. Let r(w) = v - 9 + 3*w**2. Calculate r(b(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-14))\/(4\/(-152)). Suppose -4*g + 38 = 5*c - b, -6 = -2*c + 4*g. Solve 5*w + 2*z + 18 = w, -3*w + 3*z = c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Suppose -v - 3*b - 6 = 0, -v - 1 = 5*b + 7. Let j = -0.3 + 0.2. What is the closest to j in 0.5, x, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*q = 5, 2*z + 3*q = 7*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742*n + 2960*n - 736*n - 736*n - 2*n**3 - 746*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 26. Let t = q + 9.8. Let a be (-2)\/14*-2*2. What is the nearest to 0.1 in t, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71.6 - 80. Let f = -8 - y. Which is the third biggest value? (a) f (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**6\/6 + 3*f**5\/4 - 10*f**3\/3 - 7*f - 1. Factor t(k).\nAnswer: -5*k*(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(1125))\/(-4*sqrt(72)\/sqrt(2)))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53224, -54015, -55332, -57175, -59544?\nAnswer: -62439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 625169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)*q**(-2\/15))**(2\/45)*(q*(q\/(q\/(q**(1\/3)\/q*q)))\/q)**(-4\/3)\/(q*(q**(-2\/5)\/q*q*q*q*q)\/q)**37 assuming q is positive.\nAnswer: q**(-2417\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -656897*w**4 + 656897*w**4 + 994*w**5 + (w**4 + 0*w**2 + 0*w**2)*(-4*w - w + 3*w) + w**4 - w**5 - w**4.\nAnswer: 991*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/4))\/u**(-7))**(-4\/17)*(u*(u*u**0)\/u)**15\/(u\/(u\/(u*u*u\/u**(-2\/3)*u))*u)**(-26\/5) assuming u is positive.\nAnswer: u**(10844\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -9. Let l be (-3)\/(-6) - s\/44. What is the second smallest value in 0, l, 3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (2 + (-24)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66197 - -46487. What is d rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*v + 66, v + 99*s = 96*s + 20. Solve -10 = -5*h + 3*i, -3*i + 1 = -v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939.8197 decades in centuries?\nAnswer: 93.98197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zszzzzzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000102295 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20139 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ono when three letters picked without replacement from {c: 8, n: 2, u: 1, o: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 2*c - 15. What is the remainder when 57 is divided by t(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 47*b + 120. Suppose 3*i + 1 = 10. Solve -3*x = -b*l + 9, -i*l - 5*x = -x + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y. Let l = -40 + 48. Suppose 0 = l*r + 2865 - 16209. Let a(b) = -2 + r*b + 2 - 1671*b. Determine d(a(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8337, -8334, -8329, -8322, -8313, -8302?\nAnswer: -8289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130121223 (base 5) to base 10.\nAnswer: -2582688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*u - 5*m, 14429*m = 4*u + 14428*m - 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2136 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20934201 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from okkikmku?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(2 - (-21)\/(-12)). Let w be (-13)\/52 - q\/(-4). Let d = -133 - -667\/5. Is d <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 467\/6 + -78. Let n(y) = y**3 + 11*y**2 - 24*y + 26. Let r be n(-13). What is the common denominator of 6\/(-27) - (r - 3327\/270) and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/3 + 140*x**3\/3 + 286*x**2\/3 + 48*x = 0.\nAnswer: -1, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 = -3*k + 7*p, -2*p = -3*k + 2701 - 2603 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5743542l?\nAnswer: 574.3542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n**3 + n**4 + 5*n**2 - 3 - 6*n**2 + n - 15*n**3 + 4*n**3 to z*n + t + x*n**3 + v*n**2 + b*n**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5832*h - 11561. What is k(-2)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16292 = 2*t - 4002. Is 6*(-3)\/12 - t\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2\/5, 25, 26.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*n**3 + 9332*n**2 + 138720*n - 25200 = 0. Calculate n.\nAnswer: -30, 7\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 713, 850, 999, 1166, 1357, 1578?\n\"Answer: y**3 + 130*y + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -598*w + 177358 - 177358 + (-1 + 2 + 0)*(5*w - 4*w + w).\nAnswer: -596*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 9:19 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqqqqttqytrtddrtttq. What is prob of sequence qr?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.41 - -16.31. Which is smaller: 203.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -k + 34, -14 = -z + 4*z + 5*k. Let w(o) be the second derivative of -13*o**3\/6 - 5*o**2 - 3*o. Is w(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*a = -235, -3*p - a + 0*a = 356. Let x(k) = 28*k**3 - 2*k**2 + k + 1. Let n be x(1). Let l = n - p. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) -95 (b) -3 (c) 1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l**2 - 283496 + 566995 - 283498.\nAnswer: 29*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2. Let s(z) = 27*z + 5. Let u(o) = -14*o - 3. Let d(m) = -3*s(m) - 5*u(m). Calculate d(w(n)).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 1 - (-3 - 2). Suppose -w - 20 = -b*i, 2*i - 4*i + 4*w + 30 = 0. Suppose -t + 5 = j, -2*t = -0*t - i*j - 24. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1*i**(-26))\/(i**(-24)\/i**(-1\/18)) assuming i is positive.\nAnswer: i**(-37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 551383 or 550961?\nAnswer: 551383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 10 = g, 0*y = -4*y - 3*g - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-231))\/((-11)\/99).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16787 - 16780. Solve -44*w = -45*w - k for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 5*m**2 - 2*m - 7. Let j be q(-5). Let t be (-2)\/(-6)*j*19. Solve y = -2, 5*y + t = 2*x + x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780444 is divided by 59944?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1625.\nAnswer: -1\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -1443730.25.\nAnswer: -1443737.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 7. Let b be (-3 + -3 - -9) + 4\/(-1). What is the units digit of 6 + (2 - b) + d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/(-75)*(-326)\/(-1467).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 19*i**3 + 3*i - 3*i**2 - 35*i**3 + 15*i**3 + 4*i**2 + 4. Let n be m(3). Suppose 5*t = 3*l - 10, -l - 3*t + 4 = -4*t. Sort 2, n, l.\nAnswer: n, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 11:48 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.5. Let b = 26\/145 + -4\/87. Sort -5, v, b.\nAnswer: -5, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115458347 divided by 1\nAnswer: -115458347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48770345?\nAnswer: 5, 13, 750313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -210 + 214. What is the second derivative of -49*k**u + 147*k + 66*k**4 - 61*k**4 - 78*k**4 wrt k?\nAnswer: -1464*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42983 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 107987924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6732188.\nAnswer: 2, 97, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(2 - (1 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, z: 1}. Give prob of sequence bz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 30. Solve -2*l = -2*h - 2, -5*l + v = -3*h - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 7*l**2 + 2*l - 5. Suppose -v + 3*v = -16. Let z = 13 - -2. Calculate the remainder when q(v) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + 5. Suppose -32 = -4*p + a, 0 = -2*p + 5*a + 27 - 11. Suppose 3*m = -2*i + p*m + 18, -4*m = 0. Is 10 a factor of g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5*m = 0, 7*m = -3*v + 8*m + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 11*d - 1848. Let h = 157 + d. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 - 88 + 88 + 24*t**2 to m*t**2 + d*t**3 + i*t + g and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a0369 + -6a?\nAnswer: -a0428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 9*y - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2590 - -2676. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22228 is divided by 1389.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*d = 4*d - 12, 0 = 5*m + 3*d - 1. Let y(o) = -o + 20*o**2 + 23*o**2 + o - 44*o**m. Let q(n) = 93*n. Calculate y(q(p)).\nAnswer: -8649*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-306)\/(-187)*(-154)\/(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*u**2 + 87*u**5 + 85*u**5 - 159*u**5 wrt u.\nAnswer: 780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 12*r - 11. Let l be q(3). Let w be ((-2)\/6*l)\/(1785\/(-1530)). Solve 0*j + 14 = 2*u + w*j, -5*u + 2*j + 7 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*t - 3*t. Let r(i) = 2*i - 7. Suppose 5*w - 28 = 3*w. Let z be r(w). What is the greatest common divisor of t and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963890 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -1) + 409509876\/31. Round f to the nearest 100000.\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) + -4*sqrt(540)*-2)*-1)\/(5*sqrt(300) + -6*sqrt(72)\/sqrt(6)) + 1.\nAnswer: -27*sqrt(5)\/19 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 8*l**3 - 7*l + 3*l + 3*l + 0*l - 2*l**4 - 2 to the form a*l**3 + f*l**4 + q*l + g + z*l**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/4 - 11*n**3\/3 + 5*n**2 + 7*n - 225. Calculate s(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + p - 4*p = -17, 7 = s + 2*p. Let c = -541 - -539. Sort s, c, 4.\nAnswer: c, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456274741 to the power of 1\/3, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 2*l**2 - 2*l + 1. Let x be a(-2). Let z = -2768 - -2776. Solve z = -x*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - 215322113?\nAnswer: -215322140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -43, -164, -365, -646, -1007?\n\"Answer: -40*c**2 - c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1127516 (base 8) to base 12\nAnswer: -129812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*u**3 + 2*u + 240 - 722 + 246 + 7*u**3 + 248 to the form p*u**3 + d + b*u + t*u**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/20*(-40)\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.867*-58\nAnswer: 108.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2)*2 - 1. Suppose 0 = 3*x, -q + 148 = o*q + 2*x. List the prime factors of q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d. Let o(b) = -1690*b. Calculate i(o(z)).\nAnswer: -5070*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 8356938?\nAnswer: 33427752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 17. Calculate n(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0238 and 5.\nAnswer: -0.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/15 - (-5 + (-8)\/30*24). Calculate the greatest common factor of u and 5489.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:13 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 6*f**2 - 5*f + 2. Let o be i(5). Let j be (3 + o)*4\/4. Suppose j*c - 10 - 5 = 0. Solve -d + 8 = c*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144666)\/(-107160)*60\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + (-2 - -12))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*y = -18, -8*y = 4*x - 4*y - 36. Suppose x = -5*v + 29. Suppose b - 149 = -5*m, 6*b - v*m = 3*b + 466. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/40*(-1 + -79). Suppose 0 = 6*k - 2*k - y. Let d be ((-2)\/4)\/((-14)\/k). Which is the third biggest value? (a) 2 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -76, -90, -104, -118, -132?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 2 + -6 - -32 - -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248400975.\nAnswer: 5, 49936039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 747 - 1555\/2. Suppose 8*l - l = 224. Let j = l + y. Sort -0.13, 2\/7, j in descending order.\nAnswer: j, 2\/7, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 8:26 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58554 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 13 = 3*r - 2*g + 63, -4*r + 2*g - 46 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 2*h**2 - 7*h**2. Suppose -3*b = -4*b + 4. Let k(n) = b + n - 4. Calculate r(k(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, x: 2, s: 5, g: 2}. What is prob of sequence sw?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*11\/825)\/(6\/(-20))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -16 in increasing order.\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12355033 is divided by 1418.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*v - 25 - 17, -v - 3*u + 33 = 0. Suppose -3*j + 12 + v = 0. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - 12 = -5*w, -2*w + 5*g = -18. Suppose -31 = -5*l + 3*x, -w*x + 2*x - 34 = -5*l. Calculate the lowest common multiple of 44 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*l + 90*l + 8 + 10 = y, -212*y = -4*l - 4456 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 6, 0 in decreasing order.\nAnswer: 44, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 4*w**2 - 2*w + 8. Let b be o(4). Suppose d - 2*u - 78 = -3*d, b = -3*d - 4*u + 53. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 209283465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by -2148\nAnswer: 80\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2636.\nAnswer: -1\/1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q. Let o(t) be the first derivative of t**2 - 88. What is f(o(l))?\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*h**3 + 198*h**3 - 329*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6368203 to the nearest integer?\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*k - k - 7, 2*k + 6 = 3*n. Solve 4 = -n*g, -h + 17 = 3*h + 3*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35\/1782 + 37871\/370656. Calculate the common denominator of t and 103\/2496.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732476070.\nAnswer: 2, 3, 5, 41, 198503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = s, 3*s - 6*b = -3*b - 15. Put 3, s, 1 in descending order.\nAnswer: 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.00000088 + -43. What is v rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-131*w + 262*w - 4*w**3 + 2*w**2 + 40 - 129*w)*(-3 - 7 + 4)*(-3*w - w + w) as l*w**2 + t*w**3 + z*w**4 + y*w + j and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 105, 206, 307, 408, 509, 610?\n\"Answer: 101*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(1216)*3 + 0 + 1 + -1 + sqrt(1216) + sqrt(1216) + sqrt(1216) + 5 + 4)**2.\nAnswer: 576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grr when three letters picked without replacement from grrdrrrrrrttrr?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + 5 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -6. Let d = -27 - -27. Which is the nearest to 2\/5? (a) z (b) d (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209314203 divided by 7\nAnswer: -29902029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8\/g**(-2\/9))\/(g**(-8)\/(g*g**5\/g*g)))**(14\/5) assuming g is positive.\nAnswer: g**(560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 2, s: 12, x: 3}. What is prob of sequence vs?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10220124 (base 5) to base 11\nAnswer: -593a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from gagjaaqaqaaq?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((2 - 2) + (-21)\/(-6))*-2. Solve m*r - r = 3*d + 4, -d + 3*r = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*s**2 + 584*s wrt s?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-five eighths of a centimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 5*i**3 - 82 - i**2 + 74 - 2*i**2 + i**3.\nAnswer: -4*i**3 - i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 2*w. Suppose -3*b + 4*b = 2. Let r(l) = -13*l**2 - 10*l - 4. Let m(k) = 3*k**2 + k + 1. Let x(u) = 5*m(u) + r(u). Determine b*x(g) - 5*p(g).\nAnswer: -g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87.8 + 92.8. Which is the second biggest value? (a) 1\/3 (b) 3\/8 (c) -335 (d) -0.3 (e) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -1113*s**3\/2 + 225*s**2\/2 - 341*s. Let v be x(-25). Round v to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 666 = 2*s, -28*k + 1002 = -25*k - 2*s. What is the highest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + z + 58, -3*r + 3*z + 2*z = 55. Let n = 4 + r. Let j(d) = 0*d + 2*d - 4*d. Let x(o) = -12*o + 1. Give n*j(a) + 2*x(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -0.5 (c) -9 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -21\/2*g**2 + 58*g + 13\/4*g**4 - 3\/10*g**5 + 0 + 4*g**3. Factor f(k).\nAnswer: -3*(k - 7)*(k + 1)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-28 + 10 + 47)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -0.04474, 3, 0.15?\nAnswer: -0.04474","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmkv. Give prob of picking 1 k and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 5*h + 4. Let f be p(-7). What is the units digit of (-73 - -83)*(-558)\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2387897, -2388292, -2388687, -2389082, -2389477?\nAnswer: -2389872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 - z**4\/12 - 20*z**2. Calculate n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*sqrt(112) + (sqrt(112) + 0)*-5)**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101101 - 1110101001000?\nAnswer: -1111011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) -1 (c) -2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -21*o + 36165. Suppose 2*y + u = 6*y - o, 9 = 3*u. Let d = -1048 + y. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n - 7. Let b(v) = 5*v - 4. Let z be (1 - 1) + 9*25\/45. Determine z*b(g) - 3*f(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 267208.1 millilitres in litres?\nAnswer: 267.2081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.12, 1151520?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3)\/z)\/z**(-8\/3))**(5\/11) assuming z is positive.\nAnswer: z**(35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*c**3 + 76*c - 5*c**4 - 75*c**2 - 8*c - 20 - 3*c.\nAnswer: -5*(c - 4)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 - 7*n**2 - 281*n + 1048. Determine v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -25351?\nAnswer: -25354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18025\/974 + 3\/487. Calculate the common denominator of -89\/46 and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-20)*(-5)\/15. Let g be 6\/8*3\/6. Put g, a, -4 in decreasing order.\nAnswer: g, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16608 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 10*l - 15. Let a be j(7). Suppose -h - 2*b = -2*h - a, -3*h = 5*b - 26. Put 0, h, 4, 5 in decreasing order.\nAnswer: 5, 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 2, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27000 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 4*t**2 + 38*t + 1. Calculate the remainder when 136 is divided by k(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 - (-1 - 2 - (-154 + 194))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1461*f**3 - 2922*f**3 + 403 + 1461*f**3 - 1014*f**4 + 80*f**4 with respect to f.\nAnswer: -3736*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 4*w**2 + w**2 + (2*w - w - 2*w)*(-4*w + 3*w - w))*(-9*w**2 - w**2 - 5*w**2).\nAnswer: 30*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -20327 (b) 0.44 (c) 4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-3)\/6*-6. Suppose 0 = -4*a - 2*r - 3*r + 88, -4*r = u*a - 67. Let x be a\/6 - 3\/(-18). Solve y + 2*y = -x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20381 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 7 = 27 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 - 10780*v + 86560 = 0 for v.\nAnswer: -2164, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008190422 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -0.23. Let z = w - -4.8. Which is the second biggest value? (a) -1\/3 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8656 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.03, 10, 8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10061300 (base 7) in base 6?\nAnswer: -25545355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + -0.05. Let j = -616 + 315. Let i = 3313\/11 + j. Sort u, i, 1\/5 in descending order.\nAnswer: 1\/5, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 8, 48, 114, 212, 348?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 277, 416?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/3 - 85*w**4\/3 + 175*w**3\/3 + 85*w**2\/3 - 58*w = 0. What is w?\nAnswer: -87, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 minus -4629?\nAnswer: 4630.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51912 - 34293. Suppose 105 = 12*d - n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -87*q**8\/4 - 1217*q**4\/6 + 11*q - 41. What is the third derivative of i(z) wrt z?\nAnswer: -146160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.49 and -23.98973?\nAnswer: 24.47973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/5, 3, 0, 5\/21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54171*v - 54191*v = -320 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34419, 30757, 27097, 23439?\nAnswer: 19783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -966*u**2 - u. Let n be x(1). Let w = n + 2084. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 331 - (-23 + 14 + -5). Calculate the highest common divisor of 6 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/50*((-134)\/36 - (-8)\/(-18)). Solve 0*y + 0*y**2 + 0 - y**5 - 1\/4*y**3 - p*y**4 = 0 for y.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide (-858)\/2*(-9 - (-10 + 6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285*g**2 + 7*g - 6*g + 3*g + 180*g**2 - 5*g to q + u*g**2 + k*g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 619556*t**2 + 24019385728*t + 2228447550288.\nAnswer: 4*(t + 93)*(t + 77398)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**3 - 2*c**2 - 3*c - 12. Let f(u) = -u**2 - 1. Give d(a) - 4*f(a).\nAnswer: 9*a**3 + 2*a**2 - 3*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11919143?\nAnswer: 37, 322139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 37. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3946 is divided by 90.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8) + (-64)\/(-256).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/22564 and 55\/24.\nAnswer: 135384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 1\/10, -0.8, 23?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 39*c**2 + 12*c - 643. What are the prime factors of h(-21)?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/54 - (-160)\/9 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {w: 3, g: 3, p: 11, z: 3}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 342?\nAnswer: -33d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 3*a**2 - 2*a + 4. Suppose -u - 2753 = -2757. Determine p(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2808801351 to the power of 1\/2, to the nearest integer?\nAnswer: 52998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(28))\/sqrt(4).\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 28440.\nAnswer: 28440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m - 32 + 29)*(m - 2 + 2).\nAnswer: -m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35859834 divided by 664071?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/2 - 131*f**2\/2 + 848*f - 1430 = 0 for f.\nAnswer: -143, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 5.929831 centimeters in meters?\nAnswer: 0.05929831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yne when three letters picked without replacement from eneyn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14531420.\nAnswer: 2, 5, 43, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + m = 367 - 330, 0 = 4*t + 2*m + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f = -5*i + 16, -f + i - 8 = 0. Let p = -7 - f. Solve 2*h + p = -3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 128. What is the least common multiple of 10 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*u - 2 = -8*u, -v - 4*u = -5. Which is smaller: -1\/23 or v?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1276 and 9889?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623 - 337 = -29*w - 31*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5304, -10658, -16010, -21360, -26708, -32054?\nAnswer: -37398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2471*s + 204. Is b(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0218151ml?\nAnswer: 0.0000218151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:07 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 6:40 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -19. Let t = 0 - -0.3. Let y = -1363\/7 - -195. Which is the closest to y? (a) t (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + (-1 + sqrt(176) + -1 + sqrt(176) - sqrt(176)) + (4 + sqrt(176)*2 - ((sqrt(176) + -1*sqrt(176) - sqrt(176)) + -3)))**2.\nAnswer: 96*sqrt(11) + 2823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 2\/3, 901\/8, 5\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvv. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6)\/((-294)\/630).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-390)\/45*6\/4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 347562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1026 * -1020\nAnswer: -104.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -225178 and 1936255.\nAnswer: 1711077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5674, -5689, -5714, -5755, -5818, -5909, -6034?\n\"Answer: -x**3 + x**2 - 11*x - 5663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25752699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/5)\/(5 + (-4 - 0)). Let g be (-6 - -1)\/(2\/(-8)). Suppose 0*j = -2*h + j + 6, -5*j = g. What is the closest to h in -0.3, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -17 + -2 - (6316 - 6356)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*m = 12, 3*q - 5*m - 31 = 18. Solve 23 = 3*u + q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 1. Let f be r(-1). Suppose z - 1 = 2*s, f*z + 4*z - 2*s = 16. Calculate the common denominator of -23\/2 and ((-2)\/z)\/(8\/(-106)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = -4. Let b(y) = 8*y**2 + 1. Let t = 189 + -164. What is the remainder when b(r) is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 120\/(-30) + 1\/((-3)\/(-47010)). Let f = c + 26705. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 570811*v + 1. Let d be b(-1). Let c = 320810 + d. Round c to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1675702 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + (-4 - -4) + 80.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751 + 1 + -5 + (-4)\/(-4).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3) - 65*6\/150\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455643592?\nAnswer: 2, 29, 1963981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:45 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b**2 + 0*b**2 + 25*b**2 + 29*b**2 + 10*b**2 in the form g*b**2 + k + i*b and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.37 in -84, -0.4, -6\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62526027, 62526024, 62526021, 62526018, 62526015?\n\"Answer: -3*j + 62526030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.97145 rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (240\/3960)\/(4\/22)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 518722490 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3194504 divided by -4?\nAnswer: -798626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {f: 1, u: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119.5 - -100. Let g = 12.5 - y. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 2016*t\/11 - 508032\/11.\nAnswer: -2*(t + 504)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {f: 5, u: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + c?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 4863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -0.4, 2, -1986, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 3*n**5 - n**2 - 70*n**5 + 37*n**5 - 7*n**5 + (5*n**2 - 2*n**2 - n**2)*(4 + 2*n**3 - 4).\nAnswer: -33*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = -2*k - 4*s, 4*s - 20 = 0. Let x(n) = -17*n**3 + n + 2. Let c be x(k). Do 15 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 2*t**2 - 5*t**2)*(-t - 4*t + 4*t) - 16 + 16 - 12*t**3 - 46 + 44 - t**3 - t**3.\nAnswer: -13*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8368486 + 1.837. Round j to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (0 + 0 + sqrt(396) + 1)**2).\nAnswer: -1970 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 5*g - 3. Let h be r(2). Suppose -7 = 2*w - w + 2*v, -v + 14 = -h*w. Let y(m) = 2 + 2*m - 3 - 1. Let j(i) = -i + 1. What is w*j(b) - 2*y(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 7 + 2*o**3 - 2*o**2 + 2 to the form l*o**3 + t + g*o**2 + j*o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -310*j - 150. What is the remainder when 1901 is divided by p(-1)?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 4*s**2 - 6*s - 2. Let g be l(-5). Suppose 2*c - 16 = -4*a, 2*c = -c - 5*a + 26. Let r be 45\/12 + g\/c. Solve 0 = r*b - 2 + 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2531901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 8:09 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.4, -0.6, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 79. Let r be t(23). Solve 0 = -r*k + 8*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130909229?\nAnswer: 2130909229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010339307 to seven dps.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-220)\/8))\/(6*5\/1800)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 197?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 20 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 2 + 0 = 5*t, 0 = 4*t - 2*o + 64 - 32 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 3*n - 3. Let d(g) = 3*g**2 - 5*g + 5. Let s = 84 + -103. Let o(u) = u**2 + u - 7. Let v be o(-5). Let b = v + s. Give b*d(r) - 10*f(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfzfztffqftfft. What is prob of sequence tqtt?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:39 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(825))\/((sqrt(1331) - (sqrt(1331) + sqrt(1331)*-1)) + sqrt(1331)))**2.\nAnswer: 75\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 2. List the prime factors of k(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 times -5021?\nAnswer: 1004200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1355979, -1355954, -1355913, -1355856, -1355783, -1355694?\n\"Answer: 8*b**2 + b - 1355988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 3*y - 2*d, 4*y = -d - 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 280 + 172 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -151, -295, -451, -625, -823, -1051?\n\"Answer: -w**3 - 137*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaua when four letters picked without replacement from {u: 3, a: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -183 (b) 10 (c) 4.9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14731900 to the nearest ten thousand.\nAnswer: -14730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6792604 - -0.6796. Round g to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 941341.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37484713 is divided by 18742348.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 124989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {s: 2, c: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j + 4 - 2 - 2 + 1. Let k be c(-2). What is the remainder when 38 is divided by 1 + (k - (0 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4044 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1*-3 - sqrt(60)\/(sqrt(24)\/sqrt(2)))*2.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167526 a multiple of 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229\/117696 + -2\/613. Let w = -407\/4416 - j. Is w greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/196 and 41\/18?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*l + 2 - 12, 3*l = -3*s + 24. Suppose -2*v = -s*v + 24. What is the second derivative of v*m + 7*m**2 - 6*m + 2*m wrt m?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0226082 and 41504.\nAnswer: 41504.0226082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + 115\/25. Suppose 3*g + 0 - 7 = -5*f, 1 = -g. Let l be (((-6)\/f)\/3)\/((-2)\/6). Solve 5*p + 3*m = 32, -p - o*m - l + 27 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/31)\/x)\/(x\/(x*(x\/x**(-6\/17)*x)\/x)) assuming x is positive.\nAnswer: x**(152\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -50. 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: What is the remainder when 252 is divided by 54?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 7*w**2 + 3*w - 4. Let h be o(-4). Let l(n) = -n + 9 - 3*n + 3*n. Let g be l(6). Solve -2*j + g + 1 = h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2959.9 - 2960. Which is the third smallest value? (a) 132\/17 (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -2*s**3\/3 + s. Let m be 3\/14 + (-819115)\/(-770). Let r(b) = 4*b + 1070 - 2134 + m. Determine r(x(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 241*k**5\/10 + 1231*k**4\/6 + 3899*k. Find the third derivative of o(f) wrt f.\nAnswer: 2892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4436 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: Two letters picked without replacement from {m: 4, a: 4, s: 3}. Give prob of sequence am.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 19*q + 6 - 11)*(-10 + 2*q + 10).\nAnswer: -38*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2 + -5)\/((-36)\/24) and 17?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 970601396 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u**2 + 60789*u + 17370 = 0. What is u?\nAnswer: -2\/7, 2895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 2012?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -55, -3\/5, -0.1, 26\/9 in decreasing order.\nAnswer: 26\/9, -0.1, -0.5, -3\/5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-585)*(10\/(-4))\/5.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 400\/68 + (-10)\/(-85). Put 28, 0.05, j in increasing order.\nAnswer: 0.05, j, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 1}. Give prob of picking 1 l and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 928, 934, 944, 958, 976, 998?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/24 - 19*s**2. Let k(x) = -x**3 + 5*x**2 + 3*x + 20. Let j be k(6). Let t(b) = 8 - j*b**2 + 6 - 14. Determine t(i(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.99 + -43. Let j = -12 + 6. Let b be 16\/(-15) - 4\/j. What is the smallest value in p, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237.382 decades to months.\nAnswer: 28485.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-13545 - 9538 + 19092)*(-p**2 + 0*p**2 - p**2).\nAnswer: -7982*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 + 5*s - 5. Let w(i) = -4*i**2 - 6*i + 6. Calculate 6*p(y) + 5*w(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15)*5)\/((-8)\/(2352\/(-42)))*-7\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 149*v + 294*v**2 - 68*v + 14*v**2 - 73*v + 154*v**2. Let h(l) = l. Calculate r(h(i)).\nAnswer: 462*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 22*d - 1516. Let g be m(69). Factor 5\/3*s**4 + 0 + 0*s**g + 5*s**3 + 0*s.\nAnswer: 5*s**3*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z - 63. What is the remainder when 204 is divided by l(8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6591 and -47\/978.\nAnswer: 2148666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 5*o**3 + 5*o**3 + 5*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -t - 3*d, -3*d = 7 - 1. Solve -5*n = 4*k - t, -2*n = n - 2*k + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 95082.8ng?\nAnswer: 0.0000000000950828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155393*u**2 - 77704*u**2 - 77702*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at most -1\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/102 + 684\/34. Solve 4*s - 2*n = -26, 8*n - 3*n = s + y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*r + 577 + 1268 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {g: 1, j: 1, r: 2, c: 2, w: 1, d: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-242)\/(-1089)*18\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -23*p**3 - 54*p**2 - 33*p - 625. Let a(r) = -24*r**3 - 55*r**2 - 42*r - 624. Let c(u) = -4*a(u) + 5*g(u). Find the second derivative of c(f) wrt f.\nAnswer: -114*f - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(2\/7))*d)\/(d*d**(-1\/2)))\/(d**(-2\/11)\/d**(-6))*(d\/(d*d**7)*d**(2\/9))**11 assuming d is positive.\nAnswer: d**(-111101\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 736, 735, 734, 733?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t. Let v be k(1). Let h = v - -10. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 7743.\nAnswer: -7746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (898\/(-3143))\/(32\/14)*(-9)\/(-6).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -104. Let m = q - -101. Put -4, -0.02, m in decreasing order.\nAnswer: m, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**4\/5 - 231*q**3\/5 - 10704*q**2\/5 - 4092*q = 0.\nAnswer: -31, -2, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 5*v + 4. Let x(c) = 4*c**2 + 8 - 10*c - 5*c**2 - 2*c**2. Let o(k) = -7*j(k) + 4*x(k). Determine o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 14304*t**2 + 14490*t**2 - 28804*t**2.\nAnswer: -10*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/(b**(-7)\/b*b))**(-4\/17)*(b**(-3)*b*b*b**(1\/6)*b)\/(b**(1\/7)\/b**(-3)) assuming b is positive.\nAnswer: b**(-3637\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 5*f + f)*(-4 + 0 + 2) - 1 + 1 + 2*f + f + f - f + (2 - f - 2)*(6 - 1 - 2) + 3*f - 2*f + 0*f to the form n + m*f and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -3, -15 in increasing order.\nAnswer: -15, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 3*b**2 + 66*b + 46. What is a(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/149 (b) -2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 636, 1202, 1660, 1956, 2036, 1846?\n\"Answer: -9*l**3 + 629*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utjstuu. What is prob of sequence tjtu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5278\/63 - 2\/(-9). Let f be -3 + (-4)\/((-16)\/k). Calculate the highest common factor of 72 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5376751.\nAnswer: 631, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 21 = -0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-594)\/(-195) + (-4)\/4. Let d = 1045593\/5531435 - 1\/60785. Let v = h - d. Calculate the common denominator of v and 14\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c. Suppose 5*n + 66 = -3*l, -3*l + 4*n = -c*l + 39. Let r = -13 - l. 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 biggest value in -2\/11, -3\/8, -1\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 73 = -4*y, -3*m - m = y - 71. Solve 4*l + 2*b + 14 = 4*b, -l = 4*b + m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 880326*r + 36096728.\nAnswer: -2*(r - 41)*(r + 440204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -1843?\nAnswer: -8\/1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 112010210 (base 3) in base 10?\nAnswer: 10308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 5 + 7*n - 3*n - 5*n. Let u be w(3). Suppose 10*f = 12*f - u. Let h(s) = -s**2 + 4*s + 4. Calculate h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from jjjjjjyjjyjjjy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:54 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/4 - 0) + -6112507. Let k be 13017*677 - (-27)\/(-9). Let d = c + k. Round d to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2 + 7*r + 0 - 4. Let d(h) = 1 - 3*h - 3*h + 0*h. Let j(u) = -2*u**3 - 28*u**2 + 72*u - 19. Let q be j(2). Give q*m(v) - 4*d(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 times 0.4?\nAnswer: -71.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -1. Let x be 469509\/1368 + 1\/6. Let j = -343 + x. Which is the nearest to -3? (a) 0.3 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 32*g**4 + 9*g + 36*g**2 - 8*g**3 + 15*g. Let c(i) = -97*i**4 - 25*i**3 + 107*i**2 + 59*i. Let k(r) = 4*c(r) - 11*f(r). Factor k(b).\nAnswer: -4*b*(b - 1)*(3*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -16. Suppose -u*m = -5*m - 50. Calculate the smallest common multiple of m and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30173298, 60346610, 90519922, 120693234, 150866546?\n\"Answer: 30173312*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 7*b**3\/3 + 113. Let z(a) = 9*a**2. What is z(k(n))?\nAnswer: 441*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 11:35 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4))\/n**5*(n*((n\/(n*n**(-1)))\/n*n)\/n)**23)**(-27) assuming n is positive.\nAnswer: n**(-405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356874.\nAnswer: 2, 3, 7, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36756 or 1029157\/28?\nAnswer: 1029157\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*y**2 - 718*y**2 + 170*y**2 + 201*y**2 + 220*y**2.\nAnswer: 86*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 9)*(3 + -4). Let v = 15 + d. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*w + 48*w = -147*w + 15*w - 370 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*((-4*g + 0 + 0)*(-3 + 3 + 2) - 2*g - g + 4*g + 5*g - g - g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 77631019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 1512*b**3 - 4*b + 1817*b**3.\nAnswer: 305*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -0.20983?\nAnswer: -3.20983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {e: 17, b: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 4*j**2 - j - 1. Let z(t) = -2*t**3 - 6*t**2 + 5*t - 2. Let i(q) = 3*n(q) - z(q). Determine i(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5394 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u**3 + 21\/8*u**4 + 0 + 0*u - 55*u**2. Let h(c) = 3*c. What is z(h(v))?\nAnswer: 189*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -43 and -63163\/1453 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 101?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppy when three letters picked without replacement from zkzzzzzzypkp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(33\/(-27) + 1). Let w = -21 - d. Calculate the smallest common multiple of w and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/9 (b) 2\/31 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/10)\/(-6*6\/(-48)). Which is the nearest to 1? (a) 1 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-832)*4*6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 2*z - 1. Let a(n) = n**2. Let s be 3\/36*3 + 382\/8. Suppose 10*o = 8 - s. Determine o*a(h) - j(h).\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = g - 273. Suppose -2*h = -2*v + 5*v - 11, -2*h + g = 5*v. Solve 0 = -h*f - 0 + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dooddud. What is prob of picking 1 u, 1 d, and 1 o?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 69*d**2 - 6*d + 6. Let a(r) = 3450*r**2 - 299*r + 299. What is 6*a(f) - 299*c(f)?\nAnswer: 69*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 20. Let v be u(-2). Let h be (-1)\/((-3)\/(-3)) - -3. Suppose m - v = -4*g, 5*m - 16 = -0*g - h*g. Solve 4*n = n - g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 1, z: 7, f: 2, v: 3}. Give prob of sequence sv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 52586730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*r - 3*r. Let g(n) = 2*n + 19. Let b be g(-8). Suppose -r*c = -7*c - b. What is the second biggest value in c, -3, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -29, -55, -81, -101, -109, -99?\n\"Answer: k**3 - 9*k**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Let j = 7 - 3. What is the third smallest value in -1, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*24\/32*(-284)\/(-6). Suppose -3*u = -2*t - 439, -3*t - 66 - y = -u. Calculate the remainder when u is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2029932, -4059865, -6089798, -8119731?\n\"Answer: -2029933*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42.738 and -804844?\nAnswer: 804886.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -48784, -0.04, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a factor of 481222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 609 and 6162645.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 620 + 52 = -61*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581\/498 + 267\/(-90)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4.52569 - 193191.7\nAnswer: -193196.22569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Let k = -43 - -45. What is the nearest to b in k, 0.2, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6723 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -64320 rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0. Let o(g) = -g**2 - 3*g - 1. Let u be o(-2). Do n and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110546814?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 28 - 38 = m, -m - 5 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0352084 milligrams?\nAnswer: 0.0000000000352084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-35))\/(2\/(-10)). Solve 12 = i*u - 0*u - 2*c, -4*u = -3*c - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -33567.\nAnswer: -33565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 b when three letters picked without replacement from {p: 2, j: 4, w: 5, g: 1, b: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 444 - (-13)\/((-13)\/(-3)). Are n and 445 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + 4*(-3 + (sqrt(1573)*1 - sqrt(1573)) + sqrt(1573)*2*2)*-3)**2.\nAnswer: -43296*sqrt(13) + 3625873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 509015161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1*6\/(-4). Let i(u) = -r*u + 2*u - 3*u**3 + u**2 + 2*u**3 + 2*u**3. Let f = 3 - 2. Calculate i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35565 + 249733\/7. Is f not equal to 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289730086?\nAnswer: 2, 144865043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(147)*-2 - sqrt(147)))*-5)**2.\nAnswer: -1050*sqrt(3) + 33100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(208)*2.\nAnswer: 5 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 221?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -115*a**3 - 2*a - 1. What is the remainder when b(-1) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + 3*g**2 - g - 1. Let q = 4 + -2. Give l(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1036495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517.6574kg to tonnes.\nAnswer: 0.5176574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20430142823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1001*o - 41*o**3 - 984*o + 1985*o + 9.\nAnswer: -41*o**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7942 = 235*y + 95*y + 31*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 10 = 0, 19*z - 2*r = -7*r + 2*r - 317 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiivtiiiiiivvi. What is prob of sequence vv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -1 - (63 + -67)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 0) - (-25 + 23)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - -6*sqrt(405)\/sqrt(9)) + sqrt(45) + sqrt(45))\/((sqrt(90) + -2*sqrt(90))\/sqrt(10)).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2963050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 885 and 5487?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -642 + -243566?\nAnswer: -244541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*(-3)\/(-12). Which is the nearest to 0.3? (a) m (b) -1 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 3. What are the prime factors of (-216)\/d - 6\/30?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 0*d + 0*d + (-1 + 2*d + 1)*(-d + 2*d + d) - d**2 + 4*d - 4*d - 411*d + 839*d + 37 - 20*d**2 + 21*d**2 - 411*d.\nAnswer: 2*d**2 + 17*d + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(4000)*-2*-4 + sqrt(4000))\/(sqrt(288) - 4*sqrt(288)*5) + -4.\nAnswer: -75*sqrt(5)\/19 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -5*i**6\/6 - 3*i**5 - 5*i**4\/2 + 10*i**3\/3 + 15*i**2\/2 + 5*i + 29. Suppose l(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*(-9)\/(-3)*(-30)\/(-360). Sort -1, -4, 1, 12, d in ascending order.\nAnswer: -4, d, -1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 30 + (134 - 28 - 137).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11636.1035803 from 0.214.\nAnswer: -11635.8895803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051644552 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19457632517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -63*d**2 + 20. Let v(h) = -240*h - 1. Determine m(v(p)).\nAnswer: -3628800*p**2 - 30240*p - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*t + 108670 = 0, 4030 = f - 4*t - 17681. Suppose f = -13*w + 79464. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 26 + 0)*(2 + 1 - 1)*((-3 + 6 - 2)*(-5*v + v + 2*v) - 2*v - v + 2*v).\nAnswer: -222*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-56))\/((-442)\/(-3536)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-490)\/(-7350) - (-109514)\/15. Calculate the highest common divisor of m and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 32*u - 16*u. Let m(c) be the first derivative of -1\/27*c**6 - 2\/45*c**5 + 2\/27*c**u + 0*c + 0*c**2 + 4 + 1\/18*c**4. Suppose m(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 10*y**2 + 8*y - 11. Let w be h(-9). Let z be 5 + -3 + -5 - w\/2. Let u = 1 + -6. Put 4, z, u in ascending order.\nAnswer: u, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3 - 11 + 2*b - 1 + 36. Let x be n(-10). Let o(p) = 5*p**2 - p. Calculate o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 212, 247, 298, 371, 472?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**2 + 2*u + 7. What is z(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/9 (b) -106 (c) 12 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 4) in base 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11658 - -11657. Put 4, j, 2\/7, 26, 5 in ascending order.\nAnswer: j, 2\/7, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*n - 147. Let i = -295\/6 - n. Let v = 3 - 6. Sort i, -0.1, v in descending order.\nAnswer: -0.1, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 5\/87441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114.62 - -132. Let j = -0.98 + f. Let u = -16 + j. What is the third biggest value in 1\/2, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269969718.\nAnswer: 2, 3, 2441, 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**4 - u**3 + 8*u**2 + 5*u + 5. Let p(o) = -4*o**4 - 2*o**3 + 8*o**2 + 6*o + 6. Let d(j) = -5*p(j) + 6*z(j). Factor d(x).\nAnswer: -4*x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.077 (b) -4\/14951 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46\/7*r - 2\/7*r**3 - 24\/7 - 20\/7*r**2.\nAnswer: -2*(r - 1)**2*(r + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2283*y**4 - 2259*y**4 - 2*y**2 + 0*y**2 + 2*y**3 - 6 + 2*y**2 - y**2 - 9*y in the form p*y + t*y**4 + c + o*y**2 + n*y**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 126*c**2 + 3*c + 1. Let p be f(-1). Suppose 0 = 17*n - 13*n - p. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 566768960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 3072?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*q - 3*q + 2*q - 7*q to the form w*q + n and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:29 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/24 - (12 + (-166)\/24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 1967a67?\nAnswer: 1967a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 112, 248, 438, 682, 980?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 2*y, 45*g + 2*y = 4*y - 88 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - 20201?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(684)))**2.\nAnswer: 432*sqrt(19) + 24660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 7*i**2 - 6*i + 3. Let s be h(6). Let f be (7 - -3)*8\/20. Suppose -f*y = s*o - 23, 6*o - 2*y - 16 = 2*o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1705*u + u**2 + 23 - 1684*u - 15 to the form l + h*u**2 + f*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143096875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 267*k + 2935. Let d be r(-11). Let u be 4\/10 + (-9)\/10. Which is the nearest to d? (a) 1\/6 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-56819 + 56819 + 204*d) - 4*d + 3*d - d in the form p*d + y and give p.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/7 - 4*q**3\/7 - 22*q**2\/7 + 24*q\/7 + 72\/7.\nAnswer: 2*(q - 3)**2*(q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(99)\/(sqrt(44) - sqrt(11))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -59*u + 2606. Determine a(42).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 greater than 8\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540271*j - 8004 + 540272*j + 8010.\nAnswer: j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 494 - 310 = 0. Is j a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 202432, 202855, 203562, 204553?\n\"Answer: 142*h**2 - 3*h + 202293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 136 divided by -34\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - p = -6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 1 k when three letters picked without replacement from pizvvvvnppnpnvnvpkv.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = 4*a + 10*a, 0 = -3*p - a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.73 + 0.53. Is -15 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -b - 7, -5 = 5*z + 4*b + b. Suppose -63 = -3*t - 4*l + 14, -4*l - 78 = -z*t. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6*d + 5 - d**2.\nAnswer: -d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8813*z - 4 + 4 + 2.\nAnswer: -8813*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3014407 to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 + u + 4. Let m(w) be the third derivative of -3*w**5\/20 + w**4\/12 + 3*w**3\/2 + 84*w**2. What is 6*m(c) - 13*q(c)?\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1023 - 1058. Which is the nearest to 0.4? (a) -5 (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-42)*(-4)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + (sqrt(220) - 1*sqrt(220)))*1*5)\/((sqrt(11) - (sqrt(44)*-2 + sqrt(11))) + sqrt(11) - (sqrt(539)*-2 + sqrt(539))).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1714001 - -1714108.9291. Let q = x - 108.1. Let m = -0.17 - q. What is m rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156347.75454 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23682269 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3326755884*d - 17*d**2 + 3326755884*d - 3.\nAnswer: -17*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 82960.1?\nAnswer: 82960.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, 38, 1\/178, -2\/5 in increasing order.\nAnswer: -1, -2\/5, -0.3, 1\/178, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(13) - sqrt(13)) + sqrt(13) + sqrt(104)\/sqrt(8)*5)**2*-5.\nAnswer: -2360 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2498*s = 2681*s - 2928 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 1 - (-90 - (-60 + -105)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846.1451 tonnes to kilograms.\nAnswer: 846145.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g**(-3\/19))**16 assuming g is positive.\nAnswer: g**(560\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-22) - (-3 - 90\/11). Suppose 600 = -6*d + k*d. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/30*(-3)\/(13*9)*-9?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225421068.\nAnswer: 2, 8377, 36571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 - 204. Let r = 60 + c. Let h = 50.8 + r. Round h to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x + 6. Let o(w) = 7*w - 6. Let i(v) = 5*o(v) + 4*q(v). Let c(l) = l - 1. Suppose 3*k - 16 = -k. Determine k*c(g) - i(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -419\nAnswer: -1\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q. Let g(c) be the third derivative of -1\/24*c**4 + 0 + 0*c + 0*c**3 + c**2. Give g(r(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/18 and 37\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**3 - 359*v**2 + 2661*v wrt v?\nAnswer: 18*v - 718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.07741l to millilitres.\nAnswer: 9077.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -35079885 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 4*p + 2*p - 9*p**3 - p.\nAnswer: -7*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30123310 - 2?\nAnswer: -30123312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-2) - (-14)\/(-28). Suppose -i + p*d = 9*d - 301, 2*i + 4*d = 578. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 13*z + 14. Let q be r(12). Suppose 2*g + 4 = 14. Solve 0 = -q*p - 1 + g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33486 = 28*m - 232482. What are the prime factors of m?\nAnswer: 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21756 + 391477\/18. Calculate the common denominator of 67\/44 and a.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -285 and -83420932.\nAnswer: -83421217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9630*i + 2. Let d(r) = 5*r**2. What is d(q(j))?\nAnswer: 463684500*j**2 - 192600*j + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 43\/3. Let p(c) be the third derivative of y*c**3 + 1\/70*c**7 + c**2 + 0*c**6 + 0 + 0*c**4 + 0*c + 0*c**5. Differentiate p(h) with respect to h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*f**3 + 2*f**2 + 1 - 3*f - 1 - 7*f**3 + 5*f**3 to the form v*f + j*f**2 + i*f**3 + a and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v. Suppose -3*w + 32 = -3*m - 124, v = -4*m + 3*w - 206. Let p = 117 + m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pepepeeppe. What is prob of sequence eep?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6782 times -0.2?\nAnswer: 1356.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 2*i - 3. Suppose -21*n + 70*n - 784 = 0. Calculate the lowest common multiple of y(2) and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 2, -0.035?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**8\/6720 + k**7\/1680 - k**5\/6 - 7*k**2. Let q(t) be the third derivative of b(t). Solve q(v) = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2836 by 1731.\nAnswer: -2836\/1731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35820479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1007*s**3 + 4*s - 12. Let h(m) = 754245*m**3 - 2997*m + 8991. Determine -2997*a(g) - 4*h(g).\nAnswer: 999*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 0.1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {k: 3, c: 1, n: 2, a: 7, r: 2, j: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (1 + sqrt(833))*3)*2)**2 - (-1 + (5 + (sqrt(17) - (sqrt(17) + -3)) - (sqrt(119)\/sqrt(7) + 1))).\nAnswer: 1009*sqrt(17) + 30126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*f**3 - 1703*f**2 - 373*f**3 + 1722*f**2.\nAnswer: 24*f**3 + 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 + 13 = 4*z, 5*r + 5*z - 35 = 0. Solve -s - 26 = 4*i - 4*s, 0 = 2*i - r*s + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104.72 + -105.72. What is the fourth smallest value in -10, 3\/7, -5, k, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*d - 23, -h + 1 = -0*d + 3*d. Suppose -5 + 2 = p, -d*p = -3*n + 789. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 58603716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 12*n**2 - 2)*(-n - n + 0*n)*(6*n - 145 + 71 + 72).\nAnswer: -144*n**4 + 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - v**2 - 5*v - 5. Let d be s(-2). Suppose 5 = -g - d. Let u = g - -30. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 8*v - 11. Let w be k(-6). Solve 4*t = 3*t + w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*v + 20 = 100*v, 3*b - 15 = -2*b - 5*v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 = -3. Let m be (-4)\/54*3 - 510\/135. What is the units digit of 2 + (-4)\/m + (5 - i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/4 and (-267)\/(-30)*(-3)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:18 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*-5*(-4)\/(-230)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -2825?\nAnswer: 2824.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*q*x - 11*q - x + 17984 with respect to q.\nAnswer: -37*x - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Let l(h) = h**2 - 3*h + 4. Let r be l(-14). Let w(j) = j + r*j**2 - j - 244*j**2. Calculate g(w(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35305 + -35308. Which is the nearest to 0.2? (a) -0.48 (b) 2.4 (c) 3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1803543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -47. Suppose -r + h*i + 0*i = 7, r + 5*i = 14. Let x(p) = -75*p + 3. Is x(r) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20740 (base 11) in base 14?\nAnswer: -add3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10624 greater than or equal to 10623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n. Let l be (-48)\/(-12) - (n + -2). What is the second derivative of -l*c**4 - 5*c + 6*c - 7*c wrt c?\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {e: 6, q: 1, v: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 6*g + 7. Let a be m(-7). Suppose 42 = 4*p + a. Let j(v) = -6*v**2 - 2*v**2 + p*v**2 - 6*v. Determine j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(7\/2))\/j*j*j**(-2\/9))\/(j*j*j**1\/j)**(-24)*((j*(j*j**(1\/8))\/j)**(-1\/30))**(-9\/11) assuming j is positive.\nAnswer: j**(414283\/7920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232 + 232.000206. Round s to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1012.874 - -0.5.\nAnswer: -1012.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4510634?\nAnswer: 2, 353, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let f = -1 + b. Suppose 11 = -3*m - 3*p + 2, 2*m + 3*p = -8. Sort 3\/5, m, f.\nAnswer: m, f, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+125.8\nAnswer: 126.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-25))**(-5)\/(f\/((f**(-1\/21)\/f)\/f)*f**16*f) assuming f is positive.\nAnswer: f**(2204\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 33 + 15 - 244932*u**3 - u**2.\nAnswer: -244932*u**3 - u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 4:48 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*y + 1069 = 1071, r - y = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1179)\/(-1310)*(-10)\/(-108). Let u(f) be the second derivative of 30*f + 0*f**2 + 14\/3*f**3 + 0 - s*f**4. What is the second derivative of u(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 93.38225 and 110084.\nAnswer: 110177.38225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138582698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 1589*o - 1592*o - 39, 18 + 32 = -5*t - 5*o for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10705 and 24362439.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 27. Suppose -2*t = m - 20, 2*m - m - i*t = 2. What is the remainder when 39 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414585840 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3855937*a**2*v**2 - 47272*v**2 - v - 10 wrt a?\nAnswer: -7711874*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3318 + 0.2.\nAnswer: 3318.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11428*m**2*w**3 + 2*m**2*w**2 - 326*m**2*w + w**5 + 4*w**2 wrt w?\nAnswer: 68568*m**2 + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 160 = 4*d + 116, v + 2*d - 30 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/3 + 8\/3. Let o = -112.7 - -119. Let p = o - 6. Sort j, p, 3 in increasing order.\nAnswer: p, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -3. Let c be 2\/(-2*2\/6). Sort c, -4, z.\nAnswer: -4, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22566458 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r + 2*r - r)*(-3 - 4 + 6) + (3 + 1 - 1)*(-2*r + r + 0*r))*(-24 - 4 + 13).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1 - 34*m**2 - 31*m**2 + 59*m**2 + m**3 + 4*m. What is d(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*f + 114*f + 11755 - 1325 = -111*f for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/42)\/(2816\/9856)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*q**4 + 2*q**3 + 4\/3 - 2\/3*q**2 - 2*q = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8322.81 micrograms?\nAnswer: 8.32281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 267*x**3 + 802*x**2 + 537*x + 2.\nAnswer: (x + 1)*(x + 2)*(267*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 26*s + 18. Let i be p(-3). Let k be i\/(-25) + 0 + 4\/(-10). Suppose x - 2*m + 3*m + 2 = 0, 4*x = -k*m. Solve -x*h = 6, 4*h = 4*o + h + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a + 360 = 495. Solve -6*s + a*s = -2*t - 8, -5*t - 19 = -2*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 8:13 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 9. Let s be d(-10). Let i = 3 - s. Suppose 0 = -4*q + 5*y + 2 + 14, -i*y = -5*q + 20. Solve q*f + 2 = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15524667, 15524670, 15524673?\n\"Answer: 3*b + 15524664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - z**2 + 3)*(-z**2 + 0*z**2 - 2*z**2).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -15*n**3 - 6*n**2 + 10*n - 20. Let q be h(-7). Let w = -3376 + q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3))**2*4 + sqrt(52)*-5.\nAnswer: -10*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 14 = -4*v, -v - 3*v - 6*c = -c + 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - l)*(-2 - 3 + 4) + 2 + l - 2 + 5*l + 0*l - 4*l + (-1 - 3 + 2)*(l - l - 2*l) - 2 - 3*l + 2 - 2 + 2 + 23*l to the form p + v*l and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73844523 to the power of 1\/2, to the nearest integer?\nAnswer: 8593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*k - 13, 0 = -5*i - 3*k - 2*k - 15. Let x(m) = m**3 + 4*m**2 + 5*m + 1. Calculate x(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - (-4 + 2 - -4). Let r = j + 23. Suppose 18 + 13 = 5*x + 2*i, 0 = -x - 2*i + r. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 6*(-4)\/(-8). Find the third derivative of -w**4 + w**4 - 5*w**2 + 0*w**4 - b*w**4 wrt w.\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*i + 10*i + 570. Solve -i*u - 25 = -35*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-8 + 0) - 2) + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - -2. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34341.44066 to the nearest ten.\nAnswer: -34340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, t: 1, k: 1, u: 2, n: 1}. What is prob of sequence ui?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 857\/5 - 171. Factor 1\/5*l - u - 1\/5*l**3 + 2\/5*l**2.\nAnswer: -(l - 2)*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 16*k + 11. Let v(j) = -7*j - 5. Determine -6*s(y) - 13*v(y).\nAnswer: -5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 58 - 414 = 0. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1975*i**5 + 701*i**3 + 5371118*i?\nAnswer: -39500*i**3 + 4206*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27 - 20) + 9 + -24 - -4) + 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 310, 687, 1186, 1789, 2478?\nAnswer: 3235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 19 = 4*h, 4*h - 2*h = 2*m + 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1643 and 45266293?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 708506*j**3 + 179271 wrt j?\nAnswer: 2125518*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8716 and 4454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most -7546\/1009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28196 = 31390*f - 30858*f for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 917*b**3\/6 - 1021*b**2\/2 + 57*b + 3. Differentiate q(v) wrt v.\nAnswer: 917","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963943873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2181*h = -2177*h + 4343*h + 570 - 1575 for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.108 at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*m + 1857, 1248 = 2*c + 7*m - 9*m. Let z = c + 11. Is z a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*r - 5*m - 1, -5*r - 2*m + 22 = 0. Solve -5*l + x - 5*x = 26, 0 = -2*l + 2*x + r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -106, -207, -300, -385?\n\"Answer: 4*m**2 - 113*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008952 to 6 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00083477 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - 96. Suppose k*j - 84 = -2*z - 2*z, 15 = 5*z. What is the least common multiple of j and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -7.0917.\nAnswer: 14.1834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*n - 3*n + 2, 3*q + 39 = -4*n. Let f be (20\/3)\/((-2)\/n). Let j(d) = -7*d + 34. Let u be j(-18). What is the greatest common divisor of f and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4100\/20*1\/5. Let q = i + -39. Solve q*y + 2*y - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.1, -1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*t - 1 = 0, 0*t - 3*t = -r + 9. Let k = r - 8. Let q = 0 - k. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**4 - 2*y**3 + 4*y**2 + 3*y - 3. Let b(f) = -f**2 - f + 1. Let s(j) = -6*b(j) - 2*i(j). What is the third derivative of s(q) wrt q?\nAnswer: -192*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -5\/10161?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44437*w**2 - 44437*w**2 - 9*w**3.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 380, 571?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793, 826, 845, 844, 817, 758, 661, 520?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 96989, 96993, 96997, 97001?\n\"Answer: 4*q + 96985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 26. Let x = 4 - z. Let n be (-1)\/((-2)\/(-16)*-2). Solve -d + 4 = -2*l - x*l, 0 = -5*l + n*d - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 279?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332769000 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*h + 22 = 0, 75*z + 2*h + 6 = 72*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -60. Find the second derivative of -8*n**3 - m*n**3 + 21*n + 6*n**3 + 14*n wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + -3 + 11\/2)*-844. Let s = -12 + 17. Suppose x - 27 = 3*u - 694, s*x = -2*u + o. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/8 - 27*l\/8 + 7\/2 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 2*y**2 - y + 5770. Let w be s(0). What is w rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 10285*t**5 + 24860*t**4 + 17520*t**3 + 2880*t**2 = 0.\nAnswer: -12\/11, -4\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1 - -2) + 5 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1431.42\nAnswer: 4294.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrwrtrmwww. Give prob of picking 2 r and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2355)\/(-314) + 366\/(-52).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 19*l**3 + 5*l**2 + 10*l + 7. Let n(v) = -40*v**3 - 11*v**2 - 24*v - 15. Determine -7*h(b) - 3*n(b).\nAnswer: -13*b**3 - 2*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, -1.4, -0.03, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 16*h + 418 = 0. Put 0, h, 14, 1 in descending order.\nAnswer: 14, h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3*q + 218412*p**3 - 4*p**2 - 16457*p*q + 2196*q wrt p.\nAnswer: 24*p*q + 1310472*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50a + 4?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 4667?\nAnswer: -16\/4667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038465023 to 6 dps.\nAnswer: 0.003847","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 28*a + 299. What is the tens digit of w(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 3*l + 21, -1468*l = w - 1469*l + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460 a factor of 2840667780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 620 + -431. Suppose m = q - 18. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1293.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/17, 3, 6\/35 in ascending order.\nAnswer: -6\/17, 6\/35, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 w when three letters picked without replacement from svww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(735) + sqrt(735) - sqrt(735))\/(sqrt(25)\/(sqrt(45) + sqrt(5) + sqrt(5))) - (sqrt(15)\/sqrt(5)*1 + sqrt(3) - sqrt(24)\/(sqrt(8)*2)).\nAnswer: 137*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 2*p**2 - p**2)*(-1 + 0 - 1)*(31*p - 62*p + 30*p) + (-4*p - p**2 + 4*p)*(-p - 4*p + 4*p) + 0*p**2 + 2*p**3 + 0*p**2.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 3005425*q**2 - 12021760*q - 12021780.\nAnswer: 5*(q - 601089)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v**2 + 2*v + 149. Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66175 - -5681?\nAnswer: -60384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -568*k**2. Let n(f) = 401*f. Determine n(d(g)).\nAnswer: -227768*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35463\/8 + -4433. Suppose 0*h = -5*h - 90. Let q = h + 13. What is the nearest to -0.1 in v, 0.7, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2) + 1 + 5 + sqrt(20)\/sqrt(4) + ((1 + sqrt(405))*4)**2 + -4.\nAnswer: 290*sqrt(5) + 6498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (10 - 0 - (2 + 11) - 4) - 27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -32. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-4)\/(-80)*4)\/(9*6\/1458)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = 5*n - 34 + 44, 11*k + 347 = 3*k - 5*n + 108 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 5*s**2 - 5*s**2 + 3483*s**3 - 4278*s**3 in the form q*s**2 + i + c*s + w*s**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**3\/3 + 8*b**2\/3 - 80*b\/3 + 32 = 0?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0*c**4 - 3 - 23*c**2 - 4\/5*c**5 + 0*c**3 - 15*c. Differentiate f(k) wrt k.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(20\/3)\/d)\/d*d*d**(2\/7))\/(((((d\/d**(1\/6))\/d*d)\/d)\/d)\/(d\/d**18)) assuming d is positive.\nAnswer: d**(-415\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -29. Calculate the remainder when l is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c6 (base 16) in base 5?\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 7:10 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8\/119 - 3609\/1190. Let r be (-8)\/(1\/4 + 33\/(-36)). Find the common denominator of z and (-2 + (-27)\/r)*35\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -34 (c) 0.3 (d) -1\/69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -64*d + 10. Let m(p) = 122*p - 4. Determine m(f(v)).\nAnswer: -7808*v + 1216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 + 36410*i\/9 - 36412\/9.\nAnswer: 2*(i - 1)*(i + 18206)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5804 + 5804.04. Let k be (3\/15)\/(2\/5). What is the third biggest value in b, k, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -42*b + b**2 + 42*b. Let o(p) = -4*p**2. Determine o(f(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -16484?\nAnswer: 16478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 16. Let u = -11 + j. Suppose 5*p - 4*q = 48, -u*q + 28 = -0*p + 4*p. What is the smallest common multiple of 10 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50030333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-1 - 15\/(-21)). Let m = n + 19\/21. Let m*k - 1\/3*k**3 - 1\/3 + 1\/3*k**2 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Suppose 4*o = -8, 7 = i - 4*o - 4. Let n = i + p. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29\/301 - -2\/43. Let l = 98 + -97.4. Which is the closest to 0? (a) 4 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97 + -694398976.\nAnswer: -694398879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2 + 18097960*y = 0.\nAnswer: 0, 9048980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73290679 by -53.\nAnswer: 1382843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-76) - (-110)\/(-38) - -35. Solve -f - 6 = -5*m, -2*m = 5*f + 8 - c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824\/(-103) + 3 + (-16)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2135.9114930474 + -0.09.\nAnswer: 2135.8214930474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:15 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i + 5. Let k(c) = -10*c + 4. Suppose -9*l + 5 = -8*l. Determine l*k(d) - 4*b(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 143*j**2 + 3 - 2.\nAnswer: -143*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 + 115. Let d(u) = -29*u**h + 2 + 13*u**2 + 0 + 15*u**2 + u. Calculate d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 2*v + 2*g, 2*v - 14*g = -15*g + 790. Calculate the remainder when 1433 is divided by v.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -25*i**2 - 6*i + 4. Let r be y(-6). Round r to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 4*t**2 + 2*t - 2. Let g be 425\/100 + (-2)\/8. Calculate w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s**(-2\/3))**49\/(((s\/s**6)\/s**(7\/5))\/(s**(-1\/6)*s**(2\/3))) assuming s is positive.\nAnswer: s**(-5183\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16874 - -826884\/49. Find the common denominator of -1\/63 and z.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.177149575 to four decimal places.\nAnswer: -0.1771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001001 (base 2) in base 5?\nAnswer: -13342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g**2 + 0*g)*(-5 + 9 - 8)*(-8*g - 7*g - 18*g).\nAnswer: 132*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 1 - (-8 + -4) - -7) + -31\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/187 and -49\/110.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0611, -25, 0.5, 0.4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-18)\/((z*z**(-4)*z*z*z*z)\/(z*z*z**(2\/3)*z)))\/((z**(-3\/2)*(z**(1\/3)\/z*z)\/z*z)\/(z**(-4)\/(z*z*z**7*z))) assuming z is positive.\nAnswer: z**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2346620, -4693196, -7039772, -9386348, -11732924, -14079500?\nAnswer: -16426076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v - 6. Let r(b) = b - 1. What is -i(f) + 6*r(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 84\/5, -3, -3\/13, 2\/105, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/25, -79960.94, 0?\nAnswer: -79960.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 20 = -3*p + 5*j, -3*p = 6*j. Solve -3*n = -p*n, 2 = -f - n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(60)\/sqrt(4))\/(sqrt(45)\/(-2*sqrt(9) - sqrt(9)) + sqrt(5)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 94*r**2 + 9*r - 9*r + 27*r**2 + 2*r with respect to r.\nAnswer: -134*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -16*d**5\/15 + d**4\/4 - d**2 + 14*d. Factor n(x).\nAnswer: -2*x*(32*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 3*j + 12, 45*j = -5*g + 40*j - 40 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 31 = -10. Solve -r = u*l - 12, l = -3*l - 2*r + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*i**4 + 12614*i**3 - 105868*i**2.\nAnswer: 360*i + 75684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dci when three letters picked without replacement from {q: 1, d: 3, l: 1, c: 3, i: 1, e: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 1. Let k(d) = 0*d + 4*d - d - 2*d. Calculate 9*k(q) - 2*v(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -18*s**3 + 506*s**2 - 56*s - 25. Determine u(28).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-128)\/(-10)*(6 - 0)\/12. Factor -2\/5 - 2*y + 2*y**2 + 10*y**3 - 16*y**4 + x*y**5.\nAnswer: 2*(y - 1)**3*(4*y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 12:07 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*m + 10186 - 11382. Solve 2*s - m = -5*j, -62*j = -59*j - 4*s + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - 8. Let b(l) = -1. What is -24*b(y) + 3*i(y)?\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - a**2 - a**2 + (0*a + 2*a - 3*a)*(-a - 4*a + 4*a) + 0*a**2 + 6*a**2 - 5*a**2 - 13*a**2 - 4 + 4.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = w - 7. Find the common denominator of 3\/(-30)*w + 2 and (6 - 9) + (-309)\/30*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v**2 - 8. Let b(h) = h**2 + 1. Let z(n) = 8*b(n) + r(n). Let a(d) be the second derivative of 2*d**3\/3 + 123*d. Determine z(a(o)).\nAnswer: 352*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - n**2 + 13*n - 33. Let r be q(2). Let k(g) = -g - 3. Let h = 4 + -2. Suppose -2 = -h*u + 4. Let l(w) = 2*w + 6. Give r*k(c) + u*l(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 19*j + 14. Let v(t) = 33*t - 32. Let x(c) = 15*c - 13. Let f(n) = 3*v(n) - 7*x(n). Calculate 8*f(l) + 3*i(l).\nAnswer: 9*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2022 + 3232. Let j be 3\/(-9) + x\/3. Suppose 2*w = -2*k + 224, -7*k + 3*k = -5*w - j. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265 and 39803.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 - 0 - (3 - (-2 + 10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 3. Let r(f) = -2*f + 4. Let d = 414 - 408. Determine d*l(o) - 4*r(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-12))\/1)\/((1023\/(-62))\/33)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 42 = 102. Calculate the lowest common multiple of 20 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235123947.\nAnswer: 3, 1637, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 0.21 in decreasing order.\nAnswer: 1, 0.21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/10)\/((-844)\/(-18990))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/1073?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721361, -721217, -721073, -720929, -720785?\nAnswer: -720641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.248085 decades to months.\nAnswer: 389.7702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h - 15, -h - 5 = -c. Let a be c + -1 + 8 + -12. Let m(w) = -2*w - 6. Give m(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3866?\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -61. Suppose 0 = 2*h - 4*z - 22, 0 = 2*h - h - 3*z - 13. Let n = b - h. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + (-2 - -1) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnp when three letters picked without replacement from qqgpvgnf?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/18 and -47\/624.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6160\/(-3094) + 2)\/(15\/(-195))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*p**2 + p - 3*p - 2*p**2)*(-2*p - 2*p**2 + 2*p).\nAnswer: -46*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 180, 84, -50, -222, -432, -680?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let q be c(6). Let t = q + 9. Let l = 3 + t. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336521 - 5130767.\nAnswer: -5467288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1379\/15 + 388\/5. Suppose 5*x = q - 5, 0 = -q + 2*q - x - 13. Let h = q + y. Put -4, h, -2 in ascending order.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/78*2\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 12*d - 286. Calculate the lowest common multiple of 264 and a(-11).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-40) - (-86)\/10. Let r be ((-16)\/6)\/(1\/3). Let q = r + s. Which is smaller: -4\/13 or q?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2354339 is divided by 447.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 6*k**2 + 12*k + 1. Let c be m(-2). Suppose 0 = -c*z + 100434 - 3772. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/5)\/q)**50*((q\/((q*q*q\/(q\/(q\/(q**(-8)\/q))*q))\/q))\/q)\/q**(-3\/4))**21)**(-1\/10) assuming q is positive.\nAnswer: q**(6657\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*z - 5. Suppose 4*x + 100 = 4*b, 3*b - x = z*b - 23. Let u = b - -3. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2025.252226 to the nearest integer.\nAnswer: -2025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4450, -4524, -4724, -5110, -5742, -6680, -7984, -9714?\n\"Answer: -10*q**3 - 3*q**2 + 5*q - 4442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-37 + 25 - (8 - 36)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h**5 + 63942*h**4 + 4206093*h**3 + 68494494*h**2 - 56804820*h - 15959736 = 0. What is h?\nAnswer: -2301, -34, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -46469775 divided by 136275\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 218?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 94071*t.\nAnswer: -3*t*(t - 31357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 + 1568*x**2 + 153664*x = 0. What is x?\nAnswer: -196, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (6*(sqrt(1700) + -3 + sqrt(1700)) + 3)*-4)**2.\nAnswer: -59520*sqrt(17) + 3920644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 4, 4468\/23, 5.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5509986 and 15\/7526?\nAnswer: 391209006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11042110 - 1022?\nAnswer: -11043132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 30. Let p = 38 + -35. Sort p, i, -5, -41.\nAnswer: -41, -5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 349827 = -3*u. Suppose -3*f + 3033 = -7140. Let p = u - f. Round p to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -16*y + 18. Let z(q) = -5*q + 6. Let o = 1383 - 1390. Calculate o*z(f) + 2*s(f).\nAnswer: 3*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5 + 32. Let z be r*-3*(-4)\/(-18). Let u be z\/(-7 - -4) + 1. Solve -u*d - d - 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.5 - -49.4999743. What is s rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298474 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19531 - 351541\/18. What is the common denominator of 81\/7832 and n?\nAnswer: 70488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -227*u - 12527. What is k(-51)?\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) -0.03 (c) 0.2 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 13*z**2 - 13*z - 19. Give y(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272518787.\nAnswer: 3, 19, 4229, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43562 = -5*q + 3*o, q - 2*o + 370 = 9081. Let p = q + -156967\/18. Let m = 23745\/3112 + -2\/389. Calculate the common denominator of p and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -90, -142, -184?\n\"Answer: 5*g**2 - 77*g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 878 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 292 - 445. Let b = z - -120. Let d = b + 33.0000087. Round d to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7. Let f = 0.05 - 2.05. Are f and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from tkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4. Suppose 2*g + 9 = 29. Suppose z = 5*k - 60 + g. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 12*v**2 - 13*v. Suppose 3*x + 52 = 7*x. Let l be m(x). Suppose -192 = -6*i - l*i. What is the greatest common factor of 80 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 374 - 176. Let x = -631 + 649. What is the greatest common divisor of x and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-5)\/(10\/6). Suppose r*l - 3 = -9, 0 = -2*j - 3*l + 26. Calculate the greatest common divisor of j and 168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -864*h**5*u**2 - 5*h**3*u**2 + 27*h*u + 1255*h + 2*u**2 wrt h.\nAnswer: -17280*h**3*u**2 - 30*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, -20, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76954.353118 - -254.745682. Let x = w + -77168.09880043. Let l = 41 - x. Round l to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, -43, -152, -261?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 + 125940\/3315)\/(12\/(-408)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, e: 1, x: 4, t: 5}. What is prob of sequence fx?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3)*(-45)\/(-30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 5*t - 11. Suppose 3*h + 3*v = 6*h - 18, 5*v - 12 = -h. Let n be a(h). Suppose -12*c = -n*c - 9. Let w(x) = x**2 + x - 1. Determine w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1. Suppose 0*u + 5*u = 5. Let a(d) = -3 + 33*d**2 - 18*d**2 - 14*d**2. What is u*a(r) - 3*k(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4796643715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 16, 42031 = 5*m - r - 35765. What is the highest common factor of 40 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*z**3 - 2*z**2 - 5724*z - 174421 wrt z?\nAnswer: 36*z**2 - 4*z - 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1. Let t be 36\/(-20) + (-1)\/5. Let o(y) = 3*y**2 + 4 - 5 - 19*y**3 - y**2. Let a be o(1). Let d(c) = -c + 8. What is a*n(h) + t*d(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**4 - 3*p. Let m(n) = -4*n**4 - 3*n. Let t(j) = -3*f(j) + 4*m(j). Find the second derivative of t(i) wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 1899*v - 1598696\/3.\nAnswer: -(v - 5401)*(v - 296)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-280518)\/(-8)*204\/153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5 - 373*f**4 + 1198*f wrt f.\nAnswer: 20*f**3 - 4476*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6047*d**2 - 2*d - 1001 wrt d?\nAnswer: 12094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 3)*(-3*m + m + 6*m)*(-m + m - 2*m) - 2*m - 5*m + 0*m - m**2.\nAnswer: 47*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 20, 3, -1\/26445?\nAnswer: -1\/26445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0 = 6. Let y(m) = m**3 + 5*m**2 + 4*m - 1. Let q be y(c). What is the third derivative of a**2 - 4*a**2 + 3*a**6 + q*a**2 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**4\/12 + 4*a**3\/3 + 32*a**2 - 4*a - 1. What is the remainder when 30 is divided by i(12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-233)\/(-2) + 2\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931682 to the power of 1\/2, to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*v + 2*v - 472*v + (-v + 4*v + 0*v)*(-1 + 4 - 2) to the form f*v + a and give f.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73284 divided by 186?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - 6. Let n = 47 + i. What is the tens digit of (3942\/(-12))\/n*8\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8677798 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 42 = 2*k. What is the remainder when 187 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48883.5 take away 971143.33?\nAnswer: -1020026.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2\/(c*c**5)*c**(2\/5)\/c*c**(-4)*(c*c**(-2\/11))\/c*c*c**(-2\/11)*(c\/c**(2\/5)*c)**(24\/5) assuming c is positive.\nAnswer: c**(-78\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytq when three letters picked without replacement from {h: 1, y: 5, t: 3, q: 1}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1850, 7434, 16710, 29678?\nAnswer: 46338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {f: 4, y: 3, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*f - 10. Let k(x) = x**2 - f*x + 0 + 2*x + 2*x - 1. Calculate the remainder when 35 is divided by k(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/32230 and -36\/41899?\nAnswer: 418990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 316326 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 3*o. Let n = 3 + -5. Determine g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3196 is divided by 236?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419214744?\nAnswer: 2, 3, 13, 23, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*u + 8, 4*u - 5*m = -0*u + 36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -2\/216077 (c) -1\/7 (d) -2\/15 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, -0.41, -1, -489, -5, -4 in increasing order.\nAnswer: -489, -5, -4, -1, -0.41, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/593332 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from unnuun.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**2 + 4*t - 4. Let b(x) = 6*x**2 + 3*x - 3. Let h(y) = -7*b(y) + 5*m(y). Let s = 0 + 6. What is the remainder when h(2) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6324 and 210562323.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rra when three letters picked without replacement from {g: 4, c: 1, y: 1, o: 2, r: 3, a: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 + 5 = 0. What is the remainder when 42 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1715560 and -18\/245?\nAnswer: 12008920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8*(-111 - (-32103)\/287)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 8*x**2 + 8*x - 6. Let k be b(-6). Let p be (k\/(-4) + 4)*-4. Let z(s) = 0*s + s**2 - 2*s**p + 0*s. Let o(i) = -21*i**2. What is z(o(q))?\nAnswer: -441*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287595 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -350*b + 4855. Calculate x(14).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 747944786*r - 2*r**2 - 747944786*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - l + 1. Let i(w) = 19*w**2 + 5*w - 2. Let j(b) = -i(b) - 4*m(b). Let p be j(-2). Let r = p - -607. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -97 and -0.4.\nAnswer: 38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.129 - 1196733.\nAnswer: -1196733.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 16*d = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 8*u + 26. Let v(n) = -4*n + 7. Let w be v(4). Let a be m(w). Suppose a = 3*g - 1. Solve g*k - 6 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5*x - 4. Let a be w(8). What is the common denominator of 15\/a*23\/3 and 47\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112)*6*3)**2.\nAnswer: 145152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*m - 57, -m = -0*m - 4*k - 27. Let n(f) = m - 11 + 0*f - f. Let i be n(3). Sort i, -3, 5 in descending order.\nAnswer: 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132112 (base 9) to base 10\nAnswer: 80282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 1\/110*i**5 + 2\/33*i**3 + i + 1\/22*i**4 + 0 + 0*i**2. Factor k(n).\nAnswer: 2*n*(n + 1)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*s + 268936 = 0, -4*g = 3*s - 357590 + 88646. List the prime factors of g.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4056742709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26314.\nAnswer: 2, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1734644, 2 in increasing order.\nAnswer: -2, 2, 1734644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7508 (base 10) to base 13.\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1260*l + 512*l + 589*l as x + a*l and give a.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 5058*q - 1551440.\nAnswer: -(q - 4730)*(q - 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 13, 10, -13, -62?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 880 + 1464. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 8. Let h be d(-5). Suppose -5*w - 43 = -2*k, h*k + 0*w - 13 = -w. Is k greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 6*f**2. Let q(r) be the third derivative of -r**6\/120 - r**5\/12 - 6*r**2. Calculate -5*b(k) + 6*q(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566437696.\nAnswer: 2, 11, 271, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5015.29 centuries?\nAnswer: 501.529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 1, w: 2, z: 1, t: 2, e: 1}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*z + 200*z = -4*u + 9, z - 1 = 0. Suppose 0 = -5*r - 5 - 20. Sort -3, u, r, -4 in increasing order.\nAnswer: r, -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 54. Differentiate -10 + 5*w**4 + 1 + p with respect to w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66872 is divided by 82.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 164\/456 + 7\/14. Let s = m - 10\/19. Let x = 4.94 - 5. What is the nearest to -2\/3 in 0.5, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 24, -1\/5, -5\/6, 103, -0.1.\nAnswer: -10, -5\/6, -1\/5, -0.1, 24, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*l = -2*l - 14, 16 = -4*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(7)*-2) + (sqrt(8)*-1)**2 + 3.\nAnswer: -sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23207813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10393581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 122*x - 430. Give w(0).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 318 + -315. Let x(h) be the first derivative of 0*h**2 + 19 + 19*h + 29\/3*h**o. What is the derivative of x(f) wrt f?\nAnswer: 58*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {m: 6, x: 1, d: 2, z: 9, f: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1559064\/26 - -7 - (-10)\/(-2). Round c to the nearest one thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 26. Suppose -b + 140 = y*b. Let l = b + -25. Solve -q - 5*z = 1 - 0, -l*z + 1 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 8, -4, 3 in decreasing order.\nAnswer: 8, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4 in descending order.\nAnswer: 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p - 1. Let c(x) = -4*x. Let m be (-9)\/(-4) - 3\/12. Let j be m\/(-1)*(6 - 7). Suppose 2*t = -8, j*t + 5 = -0*d - d. Calculate d*c(n) - 2*k(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/1719029 and 45\/104.\nAnswer: 13752232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -157 + 55. Solve o - 5*u = -w, 3*u = -2*o - 2*u + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*-677\nAnswer: 24372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:07 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*i - 4 = -0*p, -p = 5*i + 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 3*z - 48 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/17, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -259316 + 33.135.\nAnswer: -259282.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -16 + 11. What is the nearest to 2\/3 in 2\/3, y, -2\/17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bb + 1c96?\nAnswer: 1d73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2767485*6\nAnswer: -16604910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.893 + -0.007. Let l = -28424.8929 + 28420. Let n = l - f. What is n rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-4\/13))**(2\/7) assuming t is positive.\nAnswer: t**(8\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 307966 - -1?\nAnswer: 307967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4127076 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319141 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1 (c) -2\/7 (d) 2 (e) 0.15 (f) 332 (g) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.000074 + -76. What is v rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*a - 13, -a + 5*a + y = 11. Suppose a*t - 1 = 3. Factor 3*l + 3*l**2 + l**t - 13*l**2.\nAnswer: -3*l*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, -348, -3713, -10910, -23217, -41912, -68273?\nAnswer: -103578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {z: 2, q: 1, f: 5, i: 1, r: 7, u: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*h + 55*h - 109*h - 58. Solve 0 = -46*j + h*j - 85 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (1*sqrt(180))**2 - (-6*sqrt(405))**2)*-2.\nAnswer: -2*sqrt(5) + 29520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 + 11 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157172*x + 106 - 107 - 6033*x.\nAnswer: 151139*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27953 * -5\nAnswer: 139765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.747 + 0.79636. Let n = 0.05 - q. Round n to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-96)\/(-10)*(-10)\/(-3). What is the third derivative of -429*p**6 + j*p**2 + 464*p**6 + 2*p**2 wrt p?\nAnswer: 4200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6875*l**2 - 7636*l**2 - 857*l**2 to h*l + o*l**2 + y and give o.\nAnswer: -15368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -89. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k - 4*k. Suppose 5*h - 20 = 2*m - 4, k = -5*m + 3*h - 2. Suppose -m*c = c + 4*t, 4 = -2*c - 4*t. What is the highest common factor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-4))\/(-5)*(-3)\/36. Put -3, 5, j in ascending order.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107\/18 - -1067\/234. Let y = j + 49\/26. Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.128515 days?\nAnswer: 183903.696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -369\/55 + 237841\/495. Let q = 84263\/180 - k. What is the common denominator of q and -7\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Suppose 4*f = -2*i + 90, a*f - 89 = -7*i + 4*i. Solve 3 - f = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5241 divide 2575804752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9355, -18705, -28081, -37483, -46911, -56365, -65845?\n\"Answer: -13*z**2 - 9311*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 100\/(-15)*(-12)\/10. Determine t so that -4*t**2 + t**4 + v*t**2 - 3*t**2 - 2*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/12 + (-11)\/(-330)*5. List the prime factors of -143*3\/(-24) + u\/40.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2459155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2641148, -10564609, -23770380, -42258461, -66028852, -95081553?\n\"Answer: -2641155*x**2 + 4*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8594 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-3))\/((-22971)\/(-3861) + -6). Suppose 4 = -3*b + 352. Suppose -4*m + 0*m + b = 5*q, -2*q + 128 = 4*m. Which is bigger: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 522 + -514. Suppose 28 = i*f - 4. Solve -f*w + 0 = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 60. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 65*s - 315. What is the least common multiple of 20 and i(25)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-1 + 6 - 3). Let o be 0 + 5 - (3 + d). Which is the closest to 0.1? (a) -2\/15 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -298*a - 5926. Is 64 a factor of w(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 1:26 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/((sqrt(70)\/sqrt(5))\/sqrt(2)))\/(sqrt(441)*2 + sqrt(45)\/sqrt(5)*-1) + 1.\nAnswer: sqrt(5)\/13 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 + 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 1. Let f(k) be the second derivative of k**4\/12 + 2*k**3\/3 + 5*k**2\/2 - 3*k. What is the remainder when r is divided by f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30 - (-12)\/(1 - -2). Let n be (-55)\/3 - (-2)\/6. Let l = i + n. What is the lowest common multiple of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*sqrt(304) + 2 + sqrt(304) + sqrt(304)*-2)**2 - (((-3*sqrt(2299) + sqrt(2299))**2 - ((3*sqrt(931))**2 - sqrt(19))) + -3).\nAnswer: -97*sqrt(19) + 4059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 237994355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.69 + -18. Let w = j + 0.41. Let g be 2\/(-6) + 4\/(-6). What is the closest to g in 0.2, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.029\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5518 + 21735. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 420. Calculate the remainder when o is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55710655981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f + 36. Let o = -229 + 264. What is the remainder when o is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -607636938, -1215273877, -1822910816?\n\"Answer: -607636939*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -251024 (base 6) to base 4\nAnswer: -11123320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from {w: 1, i: 6, h: 2, x: 5, e: 3}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Let m(a) = -91*a + 5. Let t be m(-5). Suppose k + g = n*k + 895, -k = 2*g + t. Round k to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 12:48 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2695 - 2011. Calculate the highest common divisor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 547801*-0.2\nAnswer: -109560.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 2. Let x be u(-4). Let a = -2224 - -2226. Put -1, a, x, 0 in increasing order.\nAnswer: x, -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1299512447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.5 (b) 1\/8 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -35 + 13 - 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904 - 904 - 2014*k**3.\nAnswer: -2014*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 59879*h**2 + 14*h - 2. Is p(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22215 - -1?\nAnswer: -22214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 70 = -36*h. Suppose -y - 3*s = -1388, h*y - 3*y = -5*s + 2781. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 - (-492975)\/2450 - (-1)\/14*1089?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 3*c - 4*c)*((-5*c + 3*c + c)*(-18 + 22 - 13) + 5*c + 4*c + 4*c - 12*c + 15 - 15) as i*c**2 + s + w*c and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1300103062635 + -62.\nAnswer: 1300103062573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f - 5*d - 23, 4*d + 16 = f. What is the remainder when (-19)\/(-2)*f\/2 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 758 + -392179.\nAnswer: -391421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**2 + 6*c. Let o(r) = -16*r**2 + 13*r. Let j(y) = -13*f(y) + 6*o(y). Let t(m) be the third derivative of -m**5\/30 + 5*m**2. Give t(j(p)).\nAnswer: -128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 2*h + h**2 - h**3 - 3*h**2 to the form x*h + f*h**3 + d + y*h**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140942 is divided by 23488?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1129*b - 750775. What is n(-665)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2830\/(-285))\/((-14)\/6). Let p = 70\/19 - b. What is the second smallest value in 0.08, 2, p?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.0074?\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -159? (a) -23\/208 (b) 1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6390 = 260*z + 182*z - 472*z + 172*z for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475245 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 142106 (base 7) to base 8\nAnswer: 65020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/9, 10, 4, -0.3, -11 in increasing order.\nAnswer: -11, -7\/9, -0.3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (3*sqrt(612))**2)*6.\nAnswer: 36*sqrt(17) + 33048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17272 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**5\/120 - s**3\/2 - 11*s**2. Let x(g) be the first derivative of y(g). Let r(k) = 4*k**2. Determine r(x(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 0 + 6 + 1 + (-10 - -10)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 - 82. What is the remainder when (-1)\/(1\/3)*(-382)\/3 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4470 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1055 + 0.8945. Let n = 3\/2 - 7\/4. What is the closest to n in 5, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 13*m**2 + 2*m + 30. Let o be l(-13). Suppose h = -o*p + 12, -3*h + 22 = 7*p - 2*p. Solve h*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1159?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-35))\/((-12)\/30). Let w = 4 - 15\/4. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1793*p**3 + 2*p**2 + 1772*p**3 - 2*p**2.\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186022716.\nAnswer: 2, 3, 11, 1409263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - c - 2*c + 127 = -96*v + 4*v + 87*v, 5*c - 67 = -7*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 6*p + 1. Let c be f(4). What is the highest common divisor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 0 + 0)*(-5*x + 3*x - x) + (1 + 4 - 3 - 2*x**3)*(6*x - 10*x - 8*x).\nAnswer: 30*x**4 - 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33220213131 + -1212?\nAnswer: -33220221003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from {h: 2, l: 1, x: 3, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(1539) + -4*(2 + sqrt(19))*2.\nAnswer: -13 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**2 + 0*n**2 + n**2)*(8 - 2 + 6)*(12 + 8 + 5) as o + w*n + l*n**2 and give l.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -174 + 119*r - 109*r + r**2 - 167. Give h(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 26955?\nAnswer: 53910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2694*c**2 - 7343847*c + 8167. Give l(2726).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 34021?\nAnswer: -34032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6413 is divided by 1568?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27 + -17 + 15\/(975\/(-689)). Let l be (-3 + 1)*(-1)\/15. Sort n, l, 17.\nAnswer: n, l, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -87 (b) -1 (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406 divided by 14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + t + 0 = -16, -4*w - 2*t = 20 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 + 9)\/(0 + (-2)\/(-7)) and 1740\/54 - (3 - 125\/45).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-20) - (-15 - 1947\/132)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/(-20))\/((-3)\/(-30)). What is the units digit of 296\/f*(10 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 508224.3um?\nAnswer: 508224300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-40)*1)\/(12\/(-10))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 0.2 (c) -0.2 (d) 92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -8. Suppose m*j - 10 = 0, 2*d - 4*j + 7 + 1 = 0. Suppose -i + 37 + 2 = d. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-4)\/g)\/(g**0\/g*g))**(-20))**(-5\/8))**(2\/9) assuming g is positive.\nAnswer: g**(-125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a factor of 353244276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 8 = 11*y. Suppose 4*r - 472 + y = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**2 + 37355675*h - 560334000 = 0.\nAnswer: 15, 7471120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8) + 0 + 2. Let m be (1\/2)\/(6\/12). Let z = m + -2. Which is the biggest value? (a) o (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1506652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(2*sqrt(85) - sqrt(85))*-3)\/(1*(sqrt(320)*-1 - sqrt(320)) + sqrt(320) - (4*(sqrt(320) - -1*sqrt(320) - sqrt(320)) + sqrt(320))).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (122\/1)\/(0 - (2 - 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*o - o + 35*o in the form n*o + u and give n.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (386*i**2 - 386*i**2 - 16*i**3)*(-1 + 1 + 3*i) + 2*i**4 + 0*i**4 - i**4 - 96*i**4 + 157*i**4 + 283*i**4.\nAnswer: 297*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/5))\/(t*t*t\/t**(-1)))**4 assuming t is positive.\nAnswer: t**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -414, -789, -1160, -1521, -1866, -2189, -2484, -2745?\n\"Answer: u**3 - 4*u**2 - 370*u - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 534 - 2359 = 5*v, 4*v = -3*t + 5399. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0)*-3 + -4 + sqrt(117)*1 + -5.\nAnswer: -6*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 1 = 5*f. Let k(n) = -n**2 - 5*n + 3. Let a be k(f). Solve 0*c + 3*y - 24 = -a*c, 19 = 3*c + 2*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2. Let y = -4 - -4. Suppose -f + 2 + 0 = y. Let s(g) = -g**f - 2*g + 2*g. Give s(i(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -566, -533, -506, -491, -494, -521, -578?\n\"Answer: -d**3 + 3*d**2 + 31*d - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3, 7 in ascending order.\nAnswer: -3, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 11, 8, -1?\n\"Answer: -3*p**2 + 12*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49000.05 litres to millilitres.\nAnswer: 49000050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323028.\nAnswer: 2, 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6 - 3340*b**3 - 15391*b**2 wrt b.\nAnswer: 360*b**3 - 20040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.101 + 0.401. Let k = -18.67 - u. Suppose -3*t + 2 - 3 = n, 3*t = -3*n + 3. Sort k, -0.2, t in decreasing order.\nAnswer: k, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11204\/53 + 56126\/265. Factor 228\/5*o + 6498\/5 + q*o**2.\nAnswer: 2*(o + 57)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13928924 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c\/(c**(-2\/33)*c)*c)\/c)*c*c**(-1\/13) assuming c is positive.\nAnswer: c**(799\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwwjwj. Give prob of picking 1 w and 2 j.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**14*q)*q*q**(-30\/11)*q*(q*q**(4\/17))\/((q\/(q\/(q\/(q*q**(-6)*q))))\/q))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = -14. Let k be 9 + y\/(-1) + -3. Let o be 9\/(-6)*k\/3. Which is smaller: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a century?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5245 - -10438. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 373546389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 13. Let h be x(10). Suppose c = h*c - 4. Find the third derivative of 0*i - 9*i**2 + 0*i + 15*i**c + 9*i**3 wrt i.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/5)\/(8\/20). Differentiate -d*y + 7*y - y + 4 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 3:31 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m**4 - 7*m**2 + 7*m**2)*(3*m + 3*m + 10*m + 4*m).\nAnswer: -180*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*d**4 + 0 + 0*d + 0*d**2 - 4\/5*d**5 - 8\/5*d**3.\nAnswer: -4*d**3*(d - 2)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from zzgdglzzl?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 12531151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2592 and 1464.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 622075169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8552, 8677, 8802, 8927, 9052, 9177?\n\"Answer: 125*n + 8427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48.626, 3, 0.1, -1.1, -4, 0.2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -462 + 470. Let g(j) = -j**2 - j. Let r(d) = d**3 - 5*d**2 + 9*d + 3. Let t(c) = -4*g(c) - r(c). Determine t(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + 7*p**2 - 6*p - 7. Let y(j) = 13*j**3 + 27*j**2 - 27*j - 28. What is -9*t(s) + 2*y(s)?\nAnswer: -s**3 - 9*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/387 + 784\/1935. Let u = -500\/301 + 96\/43. Let s = -97 + 101. What is the closest to g in s, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhsfhssfhzhahh. Give prob of sequence sfh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 18. Let j(q) = 2*q**2 - q + 1. Let m be j(g). Find the second derivative of -w**3 - 21*w**5 - 2*w + m*w**5 - 15*w**5 wrt w.\nAnswer: 200*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(19572\/233))\/(0 - (-2)\/(-78))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 1:46 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 + -95. Let q be (1 - -1) + 1 + a + -4. What is the third derivative of 0*p**2 + 24*p**2 + 9*p**6 + 2*p**q - 31*p**6 wrt p?\nAnswer: -2640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + z - 7. Let x be q(0). What is the second smallest value in -4\/3, x, -0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13971, 13973, 13977, 13983, 13991?\nAnswer: 14001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1109339, -1109408, -1109477?\n\"Answer: -69*o - 1109270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/24 - 11*g**4\/24 - 45*g**3\/2 + 496*g**2. What is the derivative of k(h) wrt h?\nAnswer: 15*h**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 4, n: 1, d: 2}. What is prob of picking 1 e and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153 - 59. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, 2126\/3, 6\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 10*m + 20. Is m at most as big as -6\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11675549, 11675551, 11675563, 11675591, 11675641?\n\"Answer: q**3 - q**2 - 2*q + 11675551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 101 = -5*f, -21*f = -5*k - 29*f + 135 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(198) + sqrt(198)*1) - -6*(sqrt(198) - (sqrt(198)*1 + sqrt(198))))\/(1*sqrt(891)*2*1).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*r + 63, 15*c - 12*c + 3*r = 105. What is the highest common divisor of 867 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77938 is divided by 1168.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -122. Suppose -a*n + 4*i + 464 = 0, -6*n + 2*i = -n - 571. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/42)\/((-12)\/(-7)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to -984348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.649 + -0.251. Let m = 10.782 + r. Round m to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 14*g + 24*g - 1591. Calculate the remainder when 1092 is divided by g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(76) + sqrt(19)) + (sqrt(152) - sqrt(38))\/sqrt(2) - ((0 + sqrt(475))*6)**2.\nAnswer: -17100 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (95\/38)\/((-55)\/(-22396)) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m - 5 + 18*m**2 - 8*m**2 + 3 - 835*m**3 - 12*m**2 in the form u*m**3 + f*m**2 + r*m + v and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14290297 less than -0.322?\nAnswer: -0.46490297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 719.87 - 719. Which is the third smallest value? (a) 5 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s**3 - 40*s**2 - 8*s + 8. Let y(x) = 3*x**3 + 13*x**2 + 3*x - 3. Determine 8*y(b) + 3*z(b).\nAnswer: -3*b**3 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:25 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44464460 rounded to the nearest 100000?\nAnswer: -44500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, -1, 31 in increasing order.\nAnswer: -1, 31, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 28*o = -20. Let y be o\/35*(-3 - 2\/(-4)). Which is the third biggest value? (a) -3 (b) y (c) -1 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32271866146 and -0.05.\nAnswer: -32271866146.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 11) + (-10 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32205 - 15093. What are the prime factors of b?\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/494 - 9917\/(-22607).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1291, 2518, 3679, 4774, 5803, 6766?\n\"Answer: -33*r**2 + 1326*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17843612 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(sqrt(304) + 1))**2.\nAnswer: 360*sqrt(19) + 7681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 6. What is the closest to z in -1\/2, -2\/5, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 21. Let f be i(20). What is the tens digit of (-220 - 3)*f - (-4)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z - 19 + 19. Let n(v) = 484*v + 88. Let i(g) = -6*g - 1. Let s(o) = 440*i(o) + 5*n(o). What is -121*m(j) + 6*s(j)?\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2589174?\nAnswer: 2, 3, 7, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b - 3 - 5*b + b.\nAnswer: 13*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.05 (b) -1\/2 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 4*(-1)\/(-2). Suppose k + 0*w + 21 = 2*w, 0 = d*k - 5*w + 58. Put k, 4, -3 in decreasing order.\nAnswer: 4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 95\/(-10) + 13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -845*u**2 + 845*u**2 + 103*u**3 + 85*u**3.\nAnswer: 188*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 5*m**2 - 3*m. Let t be z(4). Suppose -3*g - 6 = -t*g. Let y(j) = -j**3 + 6*j**2 + 5*j - 9. Is y(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*y - y + 9, 5*k + 2*y - 27 = 0. What is the lowest common multiple of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 25*m - 2. Let q(x) = 3*x**2 + 50*x - 4. Determine -5*g(t) + 2*q(t).\nAnswer: t**2 - 25*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 - 110 - (-1 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 5:12 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548421?\nAnswer: 3, 31, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -22*n + 25*n, n = -5*b + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772160*u + 525601*u + 3272313*u.\nAnswer: 3025754*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u*u**(-4))))*u**1)\/((u*(u\/((u\/(u**(5\/3)*u*u)*u)\/u))\/u)\/(u*u\/(u**(-2\/5)\/u))))**(-2\/5) assuming u is positive.\nAnswer: u**(-142\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 881320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 698 - 676. What is the remainder when 2924 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13.86, 0, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9) + (-42)\/(-9). Suppose 90 = -n + y*n. What is the highest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28594160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**8\/1008 - 2*k**5\/15 - 7*k**2. Let t(y) be the third derivative of g(y). Let j(x) = x**2. Give t(j(d)).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76*(-23 - (-7395)\/323) + 538\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -10. Let q = 205 - 210.04. Let r = q + 5. What is the biggest value in 0.3, w, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.0699 and 277.\nAnswer: 275.9301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10559*i - 2068140 + 2068140 to the form r*i + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 4:47 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 37*s + 44*s - 62*s + (-2 + 3 - 2)*(8*s + 3*s - 6*s) in the form a*s + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2289*a - 5*a**3 - 2289*a.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*h + 2*h + 30 = 0, -5*d - 3*h = -13. Let n(o) = -2*o - d*o - 1 + 9*o**2 - 8*o**2. What is n(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 48 (b) -0.07 (c) 399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbcbbcbcb. Give prob of picking 4 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v + 85. Let c(k) = -3*k + 51. Let o(d) = 5*c(d) - 3*l(d). Suppose -5*n - 2*y - 6 = 0, -5*n - 3 + 0 = y. Let u(p) = n*p + 8*p + p. What is o(u(j))?\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 + 13*z - 9. Let x be k(-5). Let c = -17 + 3. Let s = x + c. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-5 - 8) - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 + 3*d - d + (-393 + 255 + 275)*(-1 - 1 + 3)*(2*d - 2 + 2) in the form k*d + l and give k.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 205051*c - 271963 wrt c?\nAnswer: 205051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(57\/12*-2)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50479? (a) -0.5 (b) -115 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 - 1 = a, 5*a - 7 = -2*y. Put 4, a, 0 in increasing order.\nAnswer: 0, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 - -7.87. Let k = -5 + g. Which is the smallest value? (a) -5 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1888456 + -79325921\/42. Let s = 1691\/7 + k. What is the common denominator of s and ((-848)\/(-216))\/(10\/(-15))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 2779*u + 2779. Determine f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457221545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a**2 + 6*a - 6. Let h(f) = f**3 + 3*f**2 + f + 6. Let y be h(-3). Let w be z(y). What is the greatest common divisor of w and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*r**3 + 84*r**3 - 159 - 248*r**3 + 83*r**3.\nAnswer: 2*r**3 - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35999880 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**2\/7 + 102*c.\nAnswer: -6*c*(c - 119)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -15.977. Let j = 891 - 891.767. Let r = f + j. Round r to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15 - 0)*-3 - (-1 - -2). Let g = -46 - x. Factor g*y + 10*y**2 + 5*y**3 + 1199 - 1199 + 5*y.\nAnswer: 5*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 3*r**2 + 3. Let w be p(-3). Let i be (3 - w)\/(-2) - -2. Find the third derivative of -2*k**i + 17 - 2*k**3 - 17 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-18)\/96)*(-9)\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = -n, j = 3*n + 18. What is the lowest common multiple of j and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:32 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1995*w + 2 - 1996*w + 0 - 2.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -503.92663 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39198302 + -66946.95.\nAnswer: 39131355.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 29852*y - 149236. Determine a(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-4 + 9 - (4 - 7) - -28).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5806263 rounded to the nearest 100000?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q - 13. Let g(d) = -18*d - 27. Let u(a) = -3*g(a) + 7*l(a). Let t(o) = o**3 + 7*o - 9. Let x be t(0). Calculate u(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1. Let g(s) be the first derivative of s**2 + 7*s - 2. Let f(p) = g(p) - 3*z(p). Let b be f(-3). Which is greater: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + 6*a**2 + 9*a - 4. Let s be y(7). What is the common denominator of (-2)\/((-60)\/s) + -1 and (-384)\/45 - 4\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1. Let z(g) = -6 + 7*g + 8*g - 14*g. Calculate -3*v(o) - z(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20199, 20197, 20195, 20193, 20191, 20189?\n\"Answer: -2*n + 20201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -15*z - 34 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 61*n - 372. Give g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3677\/4130 + -4\/413. What is the common denominator of y and -41\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -659, 4\/9, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37.03 and 74.76.\nAnswer: 2768.3628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.51569409 + 1.68870112. Let u = g - 1.173. What is u rounded to seven dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 13*d**2 + 6*d + 4. Let g be s(-6). Let m be 12\/g*(2 - 10\/6). Solve -m = i + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53633, 53634, 53635, 53636?\nAnswer: 53637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 5*x**2 - 2*x + 19. Suppose 2*t + 2*n = 0, 5*t - 7 = 2*n + 21. What are the prime factors of c(t)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427452867 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/7 + 1491*q.\nAnswer: 3*q*(q + 3479)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {z: 5, u: 2, h: 1, b: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7873*r - 77123*r**2 + 264*r**5 + 77123*r**2 - 638*r**5 wrt r.\nAnswer: -7480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140059987.\nAnswer: 43, 1433, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*d**4*w + 8*d**4 - d**2*w + 5*w - 16 wrt d.\nAnswer: -88*d**3*w + 32*d**3 - 2*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 5 (c) 18 (d) 0 (e) 0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/26*(-1)\/(-2)*4\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 321590666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -6, 0, 2\/7 in descending order.\nAnswer: 2\/7, 0, -0.12, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47448614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 8:17 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3)*3*-2)**2 + -1 + (1*sqrt(3) - sqrt(3)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g + 4. Determine h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/67959 and -65\/27687?\nAnswer: 747549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 - 1270*f**2\/9 - 202246*f\/9 - 200978\/9.\nAnswer: -2*(f + 1)*(f + 317)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5005 and 39130?\nAnswer: 430430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -490 greater than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(300) + -6*(sqrt(300) + 2) - (5 + (3 + -2*sqrt(300))*4).\nAnswer: -80*sqrt(3) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126110 + 7702 = 84*a. Which is greater: 1595 or a?\nAnswer: 1595","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.496 and -0.1.\nAnswer: 0.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 153544 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: Factor -1\/9*u**2 - 2\/9 + 1\/3*u.\nAnswer: -(u - 2)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16782 (base 9) in base 5?\nAnswer: 332301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-245)\/50 - (-3)\/30. Solve -3*l = 4*s - 32, -3*l = k*s - 12 - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 - 3\/(-14). Let n = -13.2 + 13. Which is the third biggest value? (a) n (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - p + 28360 = 28544, -4*g + 4*p = 164 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 607640731*z - 1313694936 with respect to z.\nAnswer: 607640731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.05, 2.61, 361, -0.6 in decreasing order.\nAnswer: 361, 2.61, -0.05, -4\/7, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71706472.\nAnswer: 2, 31, 289139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 19301080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/40 + 1*6\/10. Solve t*o - 2*o + 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/10 - 224*i**4 - 658053*i**3\/5 - 150293132*i**2\/5 - 23983724237*i\/10.\nAnswer: -i*(i + 253)**3*(i + 1481)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u - 121. Let a = -763 + 744. Determine w(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -25, -13\/3, 2\/9, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**10*d\/((d*d*d**(6\/11)*d*d)\/d))**30)**(-3\/11) assuming d is positive.\nAnswer: d**(-7380\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6594377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p + 17*p = 720. Calculate the greatest common divisor of p and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 5*f**3 - 11*f**2 + 239477*f - 239475*f to the form q*f + n*f**3 + p + z*f**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + o + 182233, -136662 = -22*u + 25*u + 5*o. Let q = -27696 - u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in -12, 4\/3, 39?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Calculate the common denominator of -21\/2 and (n - 87\/(-3))\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2\/11*s**2 - 2\/11*s**3 + 650\/11*s + 646\/11 = 0.\nAnswer: -17, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -136.31947 and -95.619.\nAnswer: -231.93847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v**2 + (4*v + 0 + 0)*(-4*v + 4*v - v))*(v + 2*v - 2*v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -20. Suppose -a*u + 20 = -5*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 2, a: 1, y: 1, c: 2, r: 4}. Give prob of picking 1 r, 1 y, and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/66463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-8)\/32)\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = -4*o, -5*i + 3*i - 2 = 0. Let m be -1*(-1 - -1)\/o. Suppose 2*k - 3*a = -19, 0*k - 2*k + a - 25 = m. What is k rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31310 (base 4) to base 8.\nAnswer: -1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 9*q**2 - 10*q + 12. Let m be f(-10). Let j = 0 + 21. Suppose 5*n + 6 = j. Solve -n*c - m = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (4 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-16)*-2*8*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 = 3*q, -24*z - 4*q + 8 = -28*z. Let b(p) be the second derivative of -10*p**z - 13*p - 10\/3*p**3 + 0. Find the first derivative of b(m) wrt m.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/((162\/(-60))\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1025)\/150 + (-4 - -6 - -5). Let z(l) be the second derivative of -2*l + s*l**3 + 0*l**2 + 0. Calculate z(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n*n*n**(-2\/23)))*n\/((n\/n**(-12))\/n*n)*n**(-17)*(((n\/((n*(n*n\/((n\/(n**(1\/4)\/n))\/n))\/n*n*n)\/n))\/n)\/n*n*n)\/n assuming n is positive.\nAnswer: n**(-2699\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -2*h**2 + 0*h**4 + 0 + 1\/15*h**5 + 0*h**3 - 1\/30*h**6 + 0*h. Find the third derivative of o(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x + 395 - 41 = 0. Solve -i - 9 + x = t, 3*i = 3*t + 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + f**3 - 4*f**3 + (11*f - 6*f + 0*f)*(f + 2*f - f)*(4*f - 10*f + 0*f).\nAnswer: -59*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - r = 6*t - 15, -r - 15 = -2*t. Suppose 180 = -q + t*q. Let z = 38 + -19. Calculate the remainder when q is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*t**5 - 34*t**2 + 19*t**2 + 0*t**5 wrt t?\nAnswer: 960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**2 + 9800*k + 228040. What is i(-23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -410? (a) 0 (b) 4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 5*d. Let s(a) = -a**2 + 2*a. Let o(u) = 10*s(u) - 4*v(u). Let x(w) = -9*w. Let i(l) = 6*l. Let z(m) = -8*i(m) - 5*x(m). Calculate o(z(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*d - 2*s + 7, -5*d + 35 = s. Let r be (d\/9)\/(2\/9). List the prime factors of (11\/r)\/((-3)\/(-9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -1c84d7d?\nAnswer: -1c84d83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 + 11. Suppose 5*c = 5*d + 6*c + 42, 4*d + 5*c = -42. What are the prime factors of s(d)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qscuv. What is prob of sequence uvq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4\/7 + 3860*q**3\/7 + 5587350*q**2\/7 + 3594528500*q\/7 + 867180000625\/7 = 0.\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + p - 1 - 3*p**2 - 2*p**4 - 2*p + 1 in the form l*p**4 + x*p**2 + v*p + c + u*p**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2838 + -2415.7162. Let r = 2481.08 + v. Let z = r + -65. What is z rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - s + 339 = 0, h + s = 80 + 4. Let i = -81 + h. What is the least common multiple of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*s - 69. Suppose -5*l - 2*r + 26 = -5*r, -r + s = 3*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37880 and 67220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4165887.9*-0.05\nAnswer: 208294.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, i: 5, h: 4, t: 4}. Give prob of picking 2 i and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1952a29 (base 14) to base 2\nAnswer: 101111111100101110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 46. Suppose 2*i - n = -1. Find the third derivative of 5*x**3 - 2*x**3 - 12*x**3 + 3*x**i - x**2 wrt x.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-36))\/(-1*(-22)\/(-198))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 26*f - 27. Let p be b(-27). Suppose p = 3*r + 4*w - 13, -2*r - 23 = r - 5*w. What is the closest to 1\/2 in 2\/31, r, -4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)*u)**25*u**(2\/5)*u\/(u\/u**(1\/4))*u assuming u is positive.\nAnswer: u**(-467\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**22\/(((((r*r**4)\/r)\/r)\/r)\/r)*r**10*r*r*r**0 assuming r is positive.\nAnswer: r**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*q**3 + 2*f*q**2 - f*q - 3*f - 108*q**2 - 141*q wrt q?\nAnswer: 12*f*q + 4*f - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(-1))\/1)\/((-31504)\/283536)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 30. Let y = -8 - -26. What is the remainder when n is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 142288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((5\/(-10))\/(-1))\/(1\/60). Let k = -468 + 518. What is the highest common factor of k and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 4*z**2 - 5*z + 2. Let r be j(-5). Find the second derivative of -2*x + 2*x**r - 2 + 2 wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112221010110 - 1?\nAnswer: -112221010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 - 88. Let m = 62 + -41. Let r = y - m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 819 = -4*i. Suppose 4*m - 154 = -2*o, 0 = -4*o + 4*m + i + 35. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 24*y**2 - 49*y - 47. Is 11 a factor of d(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-318)\/9 + 8\/(-12). Let k = 37 + u. What is the tens digit of k\/(-1) - (-198)\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 10*b. Let x be h(-10). Suppose -2*u + x = -v - 6, 3*u = -3*v + 9. Let f(s) = s**3 - 3*s**2 + 3*s - 1. Is 4 a factor of f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18684 divided by 6\nAnswer: 3114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17106?\nAnswer: 2, 3, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 11*q - 24 = 0. Suppose q*o + 20*o = 0. Let o + 1\/3*y**2 - 1\/3*y**4 + 1\/6*y - 1\/6*y**5 + 0*y**3 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-81)*(-9)\/(-4 + 1). Let m(l) = l**2 + 8*l + 9. Let i be m(-7). Let u = 0 - 0.2. Which is the closest to 0.2? (a) n (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 40671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abjabbbjbbjj. Give prob of sequence jbb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 189597213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15878 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 3*t + 9. Let q be h(3). Let o(y) = -y**3 + 9*y**2 + 6*y + 15. Let w be o(q). Let r be w\/(-9) + 7\/(21\/2). Which is bigger: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*x - 1 = 19, -12 = -4*q - x. Solve -4*l = -8, -2*z + 0*l + 8 = q*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/9 + 273206*j**3\/9 - 18649993129*j**2\/9 - 473021809732*j\/3 + 663849346880 = 0 for j.\nAnswer: -80, 4, 136641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -16*t + t. Suppose -5*k = -2*i - t*k + 82, 5*k = i - 25. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/197804 (c) 0.8 (d) 2\/11 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.7. Let i = 8 + -17. Let f = 14 + i. What is the smallest value in j, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/2475 and -43\/44?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12597745?\nAnswer: 5, 29, 283, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 2:49 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**2*x - 730*k**2 - 7*k - 333*x wrt k?\nAnswer: -10*x - 1460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 527062919.\nAnswer: 527062919.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 16 + (2 - 4 + 5)*(0 - 2 + 4))*(-5 - 42 + 1)*(-g + 2 - 2)*(0*g**2 + 5*g**2 - 3*g**2) as d*g**3 + c*g + r*g**2 + q and give d.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 19. Give u(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6184\/23 - -269. Suppose -8*d = -9*d. Are p and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**2 + 73117630*n - 292470440 = 0.\nAnswer: 4, 14623522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/616 and 97\/60.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 289 + 1 + 0 - -2*1. Let h = r + -200. Does 46 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.8 - 15.8. Let h = -24 - r. What is the nearest to h in -0.2, -2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 9*a**2 + 13*a + 17. Let i be s(-5). What is the greatest common divisor of 494 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 41*l = 74 + 11 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -3*v**6\/20 - v**5\/2 - 7*v**4\/12 - v**3\/3 + 3*v**2\/2 - v. Let n(i) be the first derivative of w(i). Factor n(x).\nAnswer: -2*(x + 1)*(3*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c**2. Let n be (2\/(-3))\/((-6)\/(-9)). Is 9 a factor of k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose 0 = -4*j, 3*j - 160 = -3*w - 2*w. Calculate the remainder when w is divided by -1 - -12 - u\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -411, -419, -427, -435?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65 + 33084*d**2 + 773*d**3 - 33081*d**2 + 152*d**3 wrt d?\nAnswer: 5550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -6.2, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 3:13 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/83 in 0.5, -5, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 - w + 713091. Let t be l(0). Let z = t + 446909. Round z to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, 1 in ascending order.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 3*c + 499. Let a = -1312\/7 - c. Let l = 4.288 - 2.288. Sort -4, a, -0.18, l in decreasing order.\nAnswer: l, a, -0.18, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 54 = 46*z, -5*m + 474 = -3*z + 467 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4404131 - -1?\nAnswer: -4404130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(7) - sqrt(343)*-1) + 5 - (-4 + ((sqrt(11) + 4)*6 + -2)**2).\nAnswer: -2111*sqrt(11)\/8 - 871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1060, -3795, -8352, -14731, -22932, -32955?\nAnswer: -44800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**2\/2 - i - 1. Let f be x(-4). Suppose -f*d = -17 + 5. Solve -2*u - d = -l, 2*u = 3*u + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -16*z + 177. Give k(6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 301648+0.655\nAnswer: 301648.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzu when three letters picked without replacement from {u: 3, z: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 14, -2\/7 in descending order.\nAnswer: 14, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1395 and -1.2?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**4\/4 - m**3 - 3*m**2\/2 - 3*m + 4. Is i(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let y be d(-3). Suppose -t - y*t = -z - 1, 3*z = 5*t + 4. Let l = -6 + 17. What is the least common multiple of l and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -5*u**4\/12 - u**3\/3 - 4*u**2. What is the tens digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.9, 877, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2375656, 4751573, 7127496, 9503431, 11879384, 14255361?\nAnswer: 16631368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -935, -1753, -2571, -3389?\nAnswer: -4207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cczzczzz. Give prob of picking 1 c and 2 z.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 0 + 0*a**3 + 3*a - 2*a**2 + 5\/12*a**4. Find the first derivative of z(h) wrt h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 b, and 1 v when four letters picked without replacement from bsbvbbqu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*q**5 - 300 + 300 + 21*q wrt q?\nAnswer: 500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180735808?\nAnswer: 2, 11, 149, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(-4*s**3 + 6*s**3 - 3*s**3) + (s**2 - 2*s**2 - s**2)*(2*s + 0 + 0) + 2*s**3 - 2*s**3 - 2*s**3 as m + b*s + q*s**3 + y*s**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315, 319, 313, 291, 247, 175, 69?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52712 or -52714?\nAnswer: -52714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 88200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 227*v + 10891. Give r(-48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -17438380*m. Let f(x) = 2*x. Give f(n(y)).\nAnswer: -34876760*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200020002 (base 3) to base 10.\nAnswer: 52652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*o**2 + 2*o**2 - 3*o**2)*(-116*o**2 + 220*o**2 - 103*o**2 - 172*o) to x*o**3 + j*o**4 + z*o**2 + n*o + r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 0, 5*y + 5*u - 361 = 384. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/17 (b) 2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrccccrggycccc. Give prob of sequence gg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1300) + 0 + sqrt(1300) - sqrt(1300).\nAnswer: 5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 6*s**2 - 3*s - 6. Let l be a(-6). Suppose 2*p - l = v, p - 16 = -0*p + 3*v. Suppose 21 = -3*u + 39. Solve -u = p*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12057856 divided by -20368?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.734?\nAnswer: -2.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/(-6)*(-63)\/(-70)*30\/(-36).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 5 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -270, -407, -544, -681, -818?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -761*k - 38. Let m(i) = 401*i + 20. Give 5*f(q) + 9*m(q).\nAnswer: -196*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-16))\/(2\/(80\/15)). Solve 7*c = -b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z - 4*z + 6*z)*(-z**2 - 3*z + 3*z)*(-4*z - 2*z + 5*z) in the form n*z + v*z**2 + m*z**3 + h + w*z**4 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*o + 5. Is 2 a factor of (3*46\/18)\/(2\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/(-270))\/((-7)\/(-15)). Which is the closest to -12? (a) q (b) -2\/19 (c) -2\/3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 5*u + 1. Let q be 4\/8*-6 + -1. Let x(h) = 7*h**2 - 3. Let j(i) = 20*i**2 + i - 8. Let o(z) = -4*j(z) + 11*x(z). Give q*b(p) - 5*o(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:46 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 247.7661 nanometers?\nAnswer: 0.00002477661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 78\/208*4\/15\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 313 = -r + 11*n, -r + 307 = -2*n. Suppose 0 = 3*z - 209 - 283. Let a = r - z. Calculate the remainder when a is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/((-2)\/(-1)))\/(-1). Let m = 7 - h. Suppose -5*c = 5 - 0, -2*b + 5*c = -75. What is the greatest common divisor of m and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -5 (b) -0.68 (c) 4 (d) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/(4\/56*7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/20 - 1*(6 + 0) - -9\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.185 - -0.295. Which is the closest to 2\/9? (a) u (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(6384\/380)*-30.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2400705062.\nAnswer: 2, 7, 19, 41, 251, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20302 is divided by 6729.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.88 + 1.8. Let n = m + -3.82. Let g = n + 4. Is 2\/5 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - (1 - (0 + -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9655 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*s**3 + 11160*j**2*s**2 - 5630*j**2*s - 9*j**2 - j*s**3 wrt s?\nAnswer: 6*j**2*s + 22320*j**2 - 6*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -22 + 112. Let c be f\/(-10) - -4 - (-9)\/2. What is the third derivative of -5*d - 10*d**4 - 2*d**2 - c*d**2 + 5*d wrt d?\nAnswer: -240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a + 6. Let l be x(3). Calculate the highest common divisor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/9)*q**9*(q\/((q\/(q\/(q*q**(-1\/16))))\/q))\/(q\/((q\/q**(-1\/4))\/q*q))*q**(-8)*q\/q**0*q**(1\/14)*q**(-1\/9) assuming q is positive.\nAnswer: q**(3523\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1297 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 94 - 23*f**2 + 12*f**2 - 58.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000386914 to 7 decimal places.\nAnswer: -0.0000387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7616, 200, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705034*l**3 - 1410073*l**3 + 705043*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(7*t**4 + 43*t - 43*t) + (4*t**4 - t**4 + t**4)*(4 - 3 - 2).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b\/((b\/(b\/((b*b\/b**(-20)*b)\/b)))\/b)*b)))\/b*b\/(b*b*b**7) assuming b is positive.\nAnswer: b**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29893873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 19. Let i = -10 + s. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -41. What is the third smallest value in -1, -2\/27, o?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, k: 9}. Give prob of sequence nkk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/5574 and -1\/151572.\nAnswer: 140810388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5 = -4*v + 1, 3*a + 9 = -5*v. Solve 5*u = -a*k + 13, 3*u - 11 = k - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-415)*499)\/(-2 - 3). Let f = 1\/415 - r. Is 1.5 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 13*o**2 + 16*o + 1. Calculate the remainder when b(12) is divided by (-178)\/(-14) - (-2)\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 22700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 2)*(-2*o**2 + o**2 + 3*o**2)*(5*o + 1 - 20*o - 23*o)*(-4*o + 2*o - o).\nAnswer: 1140*o**4 - 30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/14)\/(5\/(-175)). Let l be (-6)\/12*(1 + 1). Let g be (-2 - l*10) + -4. Solve -5*u + v = w + 28, g*w - 12 = u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14041331 (base 5) to base 16\nAnswer: -22fed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(-1\/24)*m**20*m*m\/(m*m*m*m**(-8)*m) assuming m is positive.\nAnswer: m**(2185\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6) + 60\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o*o\/(o**(3\/7)*o)*o)\/((o**(-1\/12)*o)\/((o*o*o**(5\/6)*o)\/o)) assuming o is positive.\nAnswer: o**(-295\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a + 2*n, -4*n + 2 = a - 3*n. Suppose -2*s - 19 = s - 5*u, -5*s = -a*u. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/3 + 381513\/99.\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 22 + 72. What is the remainder when 17 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247438?\nAnswer: 2, 123719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196 = 273*q - 123*q - 98*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -23. Let h(p) = -4*p**2 - 3*p. Let o(r) = -7*r**2 - 5*r. Let b(c) = d*h(c) - 6*o(c). Let z(y) = -41*y - 7*y**2 + 4*y**2 + 41*y. What is z(b(s))?\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.09253 micrometers?\nAnswer: 0.000809253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/53456 and -23\/101673312?\nAnswer: 101673312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62434548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2009 + 3389. Suppose -o = -10*s + 7*s. Suppose 11*t - s = t. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 51 = 0. Suppose -3*o + q = -0*o. Suppose -75*l = -82*l + 469. Calculate the remainder when l is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111001110000111 + -111111?\nAnswer: -10111111001111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3233, -13060, -29471, -52466?\nAnswer: -82045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 490837 + -250833. Suppose -5*j + j + t = y, j + y = 60004. Round j to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 259.87641 to two decimal places.\nAnswer: 259.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -584.82, 2\/3, -3\/5 in increasing order.\nAnswer: -584.82, -3\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -557314.\nAnswer: 1671942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69600 is divided by 23145?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -1 (b) -0.2 (c) -0.04 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 24 = a. Let f(t) = -10*t**2 + 12*t + 16. Let x(c) = -c**2 + c + 1. Let p(l) = a*x(l) - f(l). What is the first derivative of p(d) wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01795 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (940\/(-70))\/(0 - 88\/14) and 17\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 354*p = 355*p - 24, 4 = -4*y + 5*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - ((-4 - -4) + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*d + 162, 5*z - d - 3 = 207. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**5\/50 + x**4\/15 - x**3\/15 - 2*x - 4. Let b(z) be the first derivative of k(z). Factor b(m).\nAnswer: -2*m*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142210683 to the power of 1\/3, to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from bxcnbbcbxbnbbbccc.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 3*b**2\/2 + b.\nAnswer: b*(b - 2)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08747022903 to 5 decimal places.\nAnswer: -0.08747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9762895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109867731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Suppose 28*r + 81*r + 37 - 473 = 0. Let q(h) be the third derivative of 0 + 0*h**r - 5\/3*h**5 - 10*h**2 + 0*h**3 + 0*h. What is q(v(a))?\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 17*c - 103. Let o be b(7). Let x(a) = -42 + o + 27 - a. Determine x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6 = 2*k. Let l = k - -1. Let h(z) = -l*z + 4*z + 10 - 4. Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119539 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -352*w**6\/5 + 502*w**2 + 1417*w. Find the first derivative of v(q) wrt q.\nAnswer: -8448*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 765504 divided by 31896\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*f + 86 - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/5 - 101*g**4\/5 - 1228*g**3\/5 - 665*g**2 + 9648*g\/5 + 5508\/5 = 0.\nAnswer: -34, -9, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q + 17 - 17)*(3 - 3 - 2).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 799*r**3 - 96500*r**2 - 3136700*r + 3234000.\nAnswer: -(r - 1)*(r + 70)**2*(r + 660)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.78 and 2179.\nAnswer: 2177.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1913471 times 0.3\nAnswer: 574041.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.60612ml in litres?\nAnswer: 0.08060612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1*-1) + -2. Let r = b + 7. Calculate the remainder when (-2 + 4)*52\/8 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -65*u - 85. Let h be d(-11). Let f = h - -1244. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/165)\/(-4 - (-216)\/44)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:18 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -11b1?\nAnswer: 11b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5664130 (base 7) in base 2?\nAnswer: 10101100000110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.9 + -1.9. Let n = -37 + t. Let z = 206 - 210. Which is the fourth biggest value? (a) 3 (b) n (c) -2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 j when four letters picked without replacement from jzujujjujjujujjjujz?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 6*z - 5*z + 0*z - 2*z - 28.\nAnswer: -z - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*v - 40 - 27, 4*x + 12 = 0. Suppose 3*l - 26 = v. Let t = l - 12. Solve -t*n - 2 = 5*h, h + 3 = n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 306 and 0.2?\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(99) - sqrt(99))\/(sqrt(72)\/sqrt(2) + sqrt(9)).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9218)\/(-4) - (7\/(-1))\/(-14). Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + -5)*(-68 + 1). Let i = 71 + z. Suppose 0 = -i*t - 5*o + 319, -4*t + 4*o + 547 = 183. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 224.7 - 225. Which is the third smallest value? (a) 3 (b) 0.1 (c) 6 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-1\/3)*f*f)*f\/(f\/(((f**2\/f)\/f*f)\/f*f*f)))\/((f\/(f*f\/f**2))\/((f**4*f)\/f)) assuming f is positive.\nAnswer: f**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 6622.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3426*x**2 - 3791*x**2 + 3023*x**2.\nAnswer: 2658*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-716.9.\nAnswer: 2150.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -889368, -889367, -889366, -889365?\n\"Answer: a - 889369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 1 + 6 - 4. Let h = -1 + 4. Suppose -h*q = 2 + 1. Determine z(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -573, -1125, -1677, -2229, -2781?\nAnswer: -3333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 2288812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 330?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2068\/9 + 230. Let s be ((-2)\/8)\/(5\/10). Suppose 2*p + 3 = 7. Which is the closest to s? (a) t (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, y: 5}. What is prob of picking 2 y?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13965?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**4 - 2060*v**3 - 105575*v**2 + 1256750*v = 0.\nAnswer: -55, 0, 10, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0244 in -21\/10, -0.08, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -16*j - 12. Solve 6*v - j*v = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*w**5 - 4 - 5 + 50*w**5 - 326*w**2 + 2*w**6 + 9 wrt w.\nAnswer: 240*w**3 + 3300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -d6dd1?\nAnswer: -d6dd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134677475 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -16. Let r(l) = l**3 + 8*l**2 + 7*l. Let d be r(y). Suppose -a + 6*a - 55 = d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 3134555.\nAnswer: 3134555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 1, g: 1, b: 1, v: 5}. What is prob of sequence ev?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -1221*v**5\/20 + 124*v**2 + 155*v. What is the derivative of j(b) wrt b?\nAnswer: -3663*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45415 (base 6) in base 7?\nAnswer: -24500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 264 - 56. Let d = u + -203. Solve -t - p = 4*p + 4, d*t = 3*p - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k - 132. Let s be o(-14). Suppose 2*m + s = 5*y, 3*y = 2*y + 4*m + 16. Sort -8, -5, y in increasing order.\nAnswer: -8, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54 - 4*-4*(-3)\/16. Suppose -u = -4*l + 5*s, 3*l + 3*s = -s + 15. Suppose 10 = -l*y + 14*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -854969178, -854969176, -854969174, -854969172, -854969170, -854969168?\n\"Answer: 2*y - 854969180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 419*f**4\/12 - 191*f. Let v(x) = 2*x. Calculate v(w(b)).\nAnswer: 838*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3073?\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: What are the prime factors of 81302702?\nAnswer: 2, 13, 487, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.2, -0.5, 36?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 3. Suppose -120*j + 52 = -116*j. Calculate the least common multiple of (-2)\/j - 287\/(-91) and p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 13*v**2 - 19*v - 12. Let n(y) = 6*y**2 - 9*y - 6. Give -9*n(z) + 4*x(z).\nAnswer: -2*z**2 + 5*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5686*r - 79599. Let s be f(-14). Suppose -1\/2*w**2 - 4 - 1\/2*w**3 + s*w = 0. Calculate w.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/12408 and 43\/470?\nAnswer: 62040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1417758 (base 9) to base 6\nAnswer: 24414425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15953.562 minus 65279?\nAnswer: -49325.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 12. Let g(j) = j + 17. Let m be g(-13). Suppose -3*k + 19056 = 5*r, -m*r + 3816 = -3*r + d*k. Round r to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*i + 2 = 0, 3*f + 4*i + 0 = -24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 145201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 12688, -3\/8, 0.4, -32?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1116, -1138, -1176, -1236, -1324, -1446?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 3*q - 64. Give f(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11011100011011000 (base 2) to base 15\nAnswer: 2368b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111111011 (base 2) to base 6.\nAnswer: -15455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -41. Let u = t + -19.54. Let j = 0.54000116 + u. What is j rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -50. Suppose m*b + 3*p = 275, -p - 333 = -2*b - 78. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*o + v, 3*v - 258 = -2*o - 278. Which is the nearest to 1\/3? (a) -3 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 + 4*q + 2. Let r(o) = 3*o**3 - 6*o**2 - 11*o - 5. Let i be (104\/65)\/((-4)\/10). Determine i*r(d) - 11*m(d).\nAnswer: -d**3 + 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 56*r + 66. Let w(l) = l**2 + 19*l + 22. Let o(f) = -4*i(f) + 11*w(f). Let s be o(-13). Suppose a = s*a - 60. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 1 + 1 + x - x + 2*x + (0*x - x + 2*x)*(3 - 4 - 1) + 3*x - 5*x + x + 4*x - 3*x - 2*x - 5*x + 5*x + x - 2*x - 4*x + 5*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.1 - -9.886. Round k to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/9))\/t)**(-6\/17)*t*t**(-7)*t**(-1\/2)\/t assuming t is positive.\nAnswer: t**(-757\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -0.3158, 20, 3 in descending order.\nAnswer: 74, 20, 3, -0.3158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*m*p**3 - m*p**2 + 3*m*p - 7*p**3 - 45*p**2 + 30*p - 1167 wrt p.\nAnswer: 96*m*p - 2*m - 42*p - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*v - u, -u + 6*u - 35 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 8*o - 7. What are the prime factors of y(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 13*a**2 + 50*a + 12. Give q(-16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 - -27)\/(2\/11). Let v = -35 - b. Let t = v + 152. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18509, 18896, 19287, 19688, 20105, 20544, 21011, 21512?\nAnswer: 22053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -0*f - q, -f - 12 = -4*q. Let z(k) = 10*k - 38. Let c be z(f). Solve 0*n + 2*n + 26 = 4*b, -c*n + 19 = 5*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 s when three letters picked without replacement from {n: 2, e: 4, z: 1, u: 4, f: 7, s: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 698, 988, 1288, 1604, 1942, 2308, 2708?\n\"Answer: p**3 - p**2 + 286*p + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 207, 173?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*n + 11366 - 11359 = 0, n + 14 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2914.\nAnswer: -2918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 293 (b) -0.3 (c) 2\/7 (d) -12\/7 (e) -3 (f) -345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3661, 3654, 3651, 3658, 3681, 3726, 3799, 3906?\nAnswer: 4053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 15*y = -144. Suppose 7*k - 1033 = -y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1009, -8029, -27053, -64075, -125089, -216089, -343069, -512023?\n\"Answer: -999*l**3 - 8*l**2 - 3*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 5*o**2 + 18*o + 18. Determine h(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143\/(-26))\/(2\/(-14)*378\/(-216))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53631 - 154803 = -12*o. What is o rounded to the nearest 100?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1042 - 1041.7335. Let q = t - 0.237. What is q rounded to three decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**2\/8 + 63*j\/4 - 1323\/8 = 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7318600 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 54*9\/54\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15470.7kg?\nAnswer: 15470700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-4 + 3))\/3. Suppose -2*t - o + 3 = h, 0 = -3*o + 2*o - 3. Let g(b) = 11*b**2 + 4*b - 8. What is the remainder when g(t) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t = -6. Suppose t*d - 8 = 4*d. Let r(f) = f**2 + 8*f - 2. What is r(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281695914.\nAnswer: 2, 3, 5216591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.52. Let z = 0.21 + y. Let m = -0.4 - z. Round m to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 - a - 2. Let z be q(-1). Let x(u) = 2*u**2 - 7*u. Let g(c) = -3*c**2 + 13*c. Let o(v) = z*g(v) + 11*x(v). Determine o(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.3002177 to 0 decimal places.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -8531, 4\/9 in increasing order.\nAnswer: -8531, 0.03, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 653938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*i + 11*i - 48*i - 2*i**2 to the form s*i + j + t*i**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3587\/5 + -28753\/40. Find the common denominator of 26\/(-39) + (-188)\/(-21) and s.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.5 - 32.5. Sort 3\/8, -0.05, y, 4 in descending order.\nAnswer: 4, 3\/8, -0.05, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 10\/2 + -18. Is 21 a factor of ((-18)\/(-15))\/(-6) - 858\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l**(12\/7)*l)\/l))\/l*l**(2\/67) assuming l is positive.\nAnswer: l**(-1728\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 413.316 to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9*l - 148 = 0. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71176 and 19065?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 + 5*f + 1. Give h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.77 - -14.77. Let g = -17 + l. Let k = 2 - 2. Which is the closest to g? (a) 0.2 (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/6*(0 + 3 + -4). Let z = -2 + g. Let a = -3 + 3. Solve -3*s - 6 + 3 = 4*c, -z*c - s - 1 = a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 228. Let s = 0.48 + -0.08. What is the second biggest value in s, x, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 4, -2\/307, 0.2 in decreasing order.\nAnswer: 15, 4, 3, 0.2, -2\/307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 253 = 3*w - 433, 5*l = 2*w - 470. Let z be w\/70 - 3\/1. Which is the nearest to z? (a) -5 (b) -1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 g when three letters picked without replacement from {k: 3, c: 6, g: 1, b: 1, w: 4}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 85, 101, 113, 121, 125, 125?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005250375?\nAnswer: 5, 17, 27827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/3 - 14*t**4\/3 + 671*t**3\/3 - 1452*t**2.\nAnswer: -t**2*(t - 11)**2*(t + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -9 - 42\/12)*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/1209 and 70\/93.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2629, -112, -3, 5 in decreasing order.\nAnswer: 2629, 5, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1275, -1\/3, -0.2, 3\/2, 3.\nAnswer: -1\/3, -0.2, 2\/1275, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -179. Let c = -279 - n. What is the common denominator of c\/(-20) + 1 + 2 and -10\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, -5, 39 in descending order.\nAnswer: 39, -5, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(847) + 0)**2 + sqrt(847))*-5.\nAnswer: 165*sqrt(7) + 4240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 10*v**2 + 35*v - 24. Calculate the remainder when 410 is divided by t(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234 - -135. Let w = 101.12 + x. Round w to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 729 - 294. What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/150 and -149\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071125 = -5224*q + 5249*q. What is the ten thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 21 = -3*f, 6*t - 9 = 3*t. List the prime factors of (2 + f + -25)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sej when three letters picked without replacement from sjesies.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42525 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -1019*l**4\/4 + l**3\/3 - 9145*l**2\/2 - 3671. Find the second derivative of v(j) wrt j.\nAnswer: -6114*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38702 + -193506\/5. Which is the nearest to 6? (a) -0.3 (b) 12\/7 (c) k (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.304 + -0.34. Let b = i - -0.036126. Round b to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = -2*c. Let m = -8 + 10. Suppose -m*x = -5*x + 72. What is the highest common divisor of x and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0 - 4*q + 0*q**3 + 1\/15*q**6 + 0*q**2 + 0*q**4 + 1\/5*q**5. Find w such that m(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/5 - 252*w**4\/5 - 3238*w**3\/5 - 10128*w**2\/5 - 2312*w - 4416\/5 = 0. Calculate w.\nAnswer: -8, -2, -1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43778569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 44 = m, 2*m - 2*s = -0*m + 78. Is 10\/m + (-1051)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + -2*sqrt(405) + sqrt(405) + (sqrt(405)*-2*-4 - sqrt(405)) + sqrt(405))**2 + -5).\nAnswer: 504*sqrt(5) + 79364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -39, -6, 57?\n\"Answer: 15*j**2 - 42*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - 6\/15. Suppose y + 8 = 2*y. Suppose y*f - 5*f - 12 = w. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3359 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3868, -7737, -11606, -15475, -19344, -23213?\nAnswer: -27082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1858*s + 19438. Calculate p(-12).\nAnswer: -2858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6984889*m**3 + m**2 + 6825968.\nAnswer: 20954667*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:48 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, -1\/2, -2, -80\/31?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/3 + 292*q**2\/3 + 298*q\/3 - 196 = 0 for q.\nAnswer: -2, 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**9\/5040 + b**8\/1400 - b**6\/300 + b**5\/200 - 3*b**3 - 5. Let s(n) be the third derivative of h(n). Factor s(u).\nAnswer: -3*u*(u - 1)**3*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 392856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**4\/4 - l - 5. Let f be n(-1). Suppose f = 7*z + 7 - 21. Solve -4*d = 0, 0*d = -m + 5*d + z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10738\/(-9499)*(-184)\/16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3.5. Let m = -4.5 + f. Let a = m + 3.2. Put -2\/13, a, 0 in increasing order.\nAnswer: -2\/13, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-38))\/(z\/(z**(2\/9)\/z)) assuming z is positive.\nAnswer: z**(335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6 and 15\/54*(-98)\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7019\/3 + 2341. Suppose -4\/3 + 4\/3*d**2 - c*d + 4\/3*d**3 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55722 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -69. What is the least common multiple of 2*3\/((-15)\/r) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 3 - 7)*(2*t + 2*t - 6*t).\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5*q + 8*a**3*q - 1476582*a**3 + a**2*q + 123*a**2 + 41*a - 381*q wrt a?\nAnswer: -60*a**2*q + 48*q - 8859492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348 and 174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 1003.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 3962097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(117)\/(sqrt(90)\/sqrt(10)) + -2 + 0 + sqrt(637).\nAnswer: -2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1 - 2 - w**2 + 0*w**2 - w. Let r(z) = -z - 8. Let f be -9 + (-2 - -4) - 2. Let y be r(f). Let o(g) = -7*g**2 - 6*g - 6. What is y*o(h) - 6*p(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -12 + 10*n**2 - 11 + 12*n + 4 + 0. Let p = -1762 + 1772. Is a(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/((p**(-5\/3)*p)\/p)*p)\/p*p*p)\/(p**(-10)\/p))**(-4\/31)\/(p**0*p\/(p\/(p*p*p**(-8))*p))**26 assuming p is positive.\nAnswer: p**(16726\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 3, t: 1, y: 1, k: 4, d: 5}. What is prob of sequence kd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = -50. Suppose n - 5*u - 7 = 0, -1 = 2*u - u. What is the least common multiple of n and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + n + 2 = -0, 4*n = -5*l + 26. Suppose 0 = -5*v + l*v - 2*d, 2*v - 4*d = 16. Suppose -3*x + 6*x + 32 = 4*z, -z + 13 = -v*x. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48285780 divided by -3?\nAnswer: 16095260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j = 0. Let p be -1 - j - 114\/(-6). Suppose -73 = -5*h - p. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + a + 140, -b + 2*a = -14 - 23. Suppose -2*c - 1 = u - b, 0 = 4*c - 20. Calculate the highest common divisor of u and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -4) + -807 + 745?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8*u + 8. Suppose 0 = -2*n - f + 223, -4*n + u*f + 441 = -f. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((145845\/(-420))\/(99\/2) + (1 - -6))*-12?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 245006 + (-2)\/(-2). Let t be -2 + (144\/32)\/(3\/4). Suppose -t*g = 5*l + c, -109882 = 4*l + g + 86120. Round l to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - (-18 + -2) - (-2 - 13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*n**4 + 564*n**3 - 15534 wrt n.\nAnswer: 48*n**3 + 1692*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((56\/21)\/(-8))\/(2\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53022764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**3 + 8*s**2 - 35*s - 2. Let k(q) = 7*q**3 + 11*q**2 - 31*q - 2. Calculate 4*j(d) - 3*k(d).\nAnswer: 3*d**3 - d**2 - 47*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 w when three letters picked without replacement from mbwmbnbb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1\/8 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-3))\/(-1))\/((-1562)\/(-21087)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 2*r - 14. Let v = -17 + 6. Let d be a(v). What is d rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -273 + 108 + 101 + 44*z**3 with respect to z.\nAnswer: 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20976 and 453549.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/21 or -2244?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 6*f - 5. Let z be y(-4). Suppose -2*o + 10 = 5*n, z*o = o + 4*n + 10. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 40*u**2 + 40*u**2 + 3*u - 2*u**2 - 50 + 59 - 11*u**2. What is the tens digit of r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -170, 30, 206, 352?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from yhy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201596 is divided by 100285.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -10*u**4 - 10862*u**3 + 152372*u**2\/5 - 95816*u\/5 + 17424\/5 = 0.\nAnswer: -1089, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 35*j**2. Let h(g) = -1. Let a(m) = -2*m - 6. Let l(v) = a(v) - 6*h(v). Give l(c(s)).\nAnswer: -70*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-753)\/(-3)*(8 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3045 - 465. What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 8\/7 (b) -1\/7 (c) -0.3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) + 5*(sqrt(2016) - (sqrt(2016)*1 + sqrt(2016))) + sqrt(2016))\/(sqrt(40)\/(sqrt(20)\/sqrt(4)*-1)))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -264*q - 5. Let r be y(-4). Suppose -4*g + 1627 = -n, r = 4*g + 5*n - 606. Let o = g + -197. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 15)*(-21)\/48?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18*(-6)\/4)\/1. Calculate the greatest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(2*z + 0 + 0) - 18*z - 337 - 603 - 22 - 40*z - 21*z to s + h*z and give s.\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -22. Let z(g) be the second derivative of g**4\/12 + g**3\/2 + 5*g**2\/2 + g. What is the remainder when z(-5) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:32 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {d: 1, s: 1, g: 2, e: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-810)\/(-144) - ((3 - 4) + 7)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x**2 - 4*x + 0*x - 15*x**2 + 3*x**3 in the form m*x + u*x**2 + y + t*x**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*a - 6, p + 14 = 2*p + 2*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 2*b**2 - b + 1. Let v = -14 + 14. Let f be x(v). Is 2 a factor of f\/8 + (-23)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -17, -27, -29, -17, 15, 73?\n\"Answer: i**3 - 5*i**2 - 4*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2. Let t = 264\/7 + -15833\/420. Let o(d) be the third derivative of 0*d**4 + t*d**5 + 0*d + d**2 + 0 + 0*d**3. What is o(c(u))?\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bb (base 13) in base 14?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f - 336. Suppose i = 3*o - 320 + 128, i + o = -192. Let m = f + i. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 0*i**2 + 4*i**2. Let u(r) be the first derivative of -r**4\/12 + 3*r - 1. Let j(t) be the first derivative of u(t). Calculate j(k(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 110 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 6, -34 = -4*l - 5*a + 4*a. Suppose -l*z - 18 = -72. Solve 2*m = -m - z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 39, 98, 181, 288, 419, 574?\n\"Answer: 12*b**2 - b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yaya when four letters picked without replacement from {a: 3, y: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 1, 10 in ascending order.\nAnswer: 1, 10, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189973671?\nAnswer: 3, 47, 1347331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*r**2 + 162 + 116 + 15*r**2 - 759*r**2 - 278.\nAnswer: -868*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3648?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let y = 6 - 10. Let t(i) = -3*i + 3. Let m be t(2). What is the third smallest value in m, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-20))\/((-24)\/60)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:02 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 1\/4, 2, -2\/7, 14\/1189?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*m - 17 = 3*r + 44*m, 2*r + 6*m - 7 = 25 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7064*h*z**2 + 2782*z**2 - 2 with respect to h.\nAnswer: 7064*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300)*2*4*-5)\/((sqrt(144)*-2 - sqrt(144))*5*5).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - ((4 - 0) + 1). Let y be ((-9)\/(-12))\/(d\/(-16)). Solve -y*h + 5 = 3*b - h, 3*b - 13 = h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/299803 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7667 + 7884 = 3*f + 5*a, -2*a + 66 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23606, -23597, -23582, -23561?\n\"Answer: 3*u**2 - 23609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (((7 - 24) + 2 - -11) + -40 - 8)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9002805?\nAnswer: 3, 5, 7, 179, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.6 (b) 1 (c) -2 (d) 875 (e) 2 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (sqrt(88) - sqrt(88)*1*2)) + 5*((sqrt(88) - (sqrt(88)*-1 + sqrt(88))) + sqrt(88)))\/(-1*(sqrt(8) - sqrt(16)\/(sqrt(2)*-2))))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j + 16. Let u(z) = 33*z - 34. List the prime factors of u(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*d\/d**(1\/4))\/d*d*d\/(d\/d**(-1\/3))*d)\/(d**3\/(d\/(d**(-5)*d))))**(-2\/99))**30 assuming d is positive.\nAnswer: d**(-325\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 29905 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 10*b**2 + 16*b + 5. Determine y(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/((-2)\/60*3). Suppose -p*v - 2*d + 42 = -28, 3*v + 4*d = 56. Calculate the greatest common factor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 3*f**2\/2 - 2*f - 129. Let r = 15 + -11. Let i(s) = 5*s - 3. Determine r*i(p) - 7*t(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 13*v**2 - v - 13. Let t be q(-13). Factor 3\/2*o**3 - 1\/2*o**4 + 0*o + t - o**2.\nAnswer: -o**2*(o - 2)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndwwiwwnnbnwddnd. What is prob of sequence wbin?\nAnswer: 5\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9716b7 (base 12) in base 4?\nAnswer: -21012312223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 21. Let t = v - -2. Suppose -t = -2*n + 21. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-6) + 7\/21. Let a be ((-2)\/(-3))\/(1*f\/24). Let j = a - -42. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -7*u + 52. Solve 2*j = -n - u, -n - 3*n - 36 = 4*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*h + 113 = -0*v, -4*v - 5*h + 251 = 0. What are the prime factors of v?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11\/110)\/((-11)\/1034))\/(3\/(1*-15))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 63.3?\nAnswer: -57.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**2 - 19920*y + 4104940 = 0.\nAnswer: 218, 3766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32566149 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 5*l + 9. Give q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*f + 3951 - 3941 = 0, 0 = -q + 5*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {z: 3, w: 1, r: 4, y: 4, l: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**5*z - 166*v**5 - 56*v**2*z - 17*v**2 + 8*v*z - z wrt v?\nAnswer: 180*v**2*z - 9960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -1158eb?\nAnswer: 1158e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*p = 9, 6*r - p = 5*r. What are the prime factors of ((-34)\/(-2) + r)\/(6\/3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 9. Let t(o) = -o**3 + 2*o**2 - 7*o + 5. Let r(n) = -n**3 + 2*n**2 - 8*n + 6. Calculate l*r(z) - 6*t(z).\nAnswer: z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b - 9 = 0. Suppose b*i - 4*c - 33 = 0, i + 3*i + 2*c = 22. Solve i*z - 15 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 109, 291, 673, 1321?\nAnswer: 2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 9*g**2 + 2*g - 4. Let i(b) = 6*b**2 + b - 2*b**2 - 5*b**3 - 2 + 4*b**3. Let t(m) = -2*c(m) + 5*i(m). What is j in t(j) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 565 divide 2851335421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*o**4 - 7*o + 14*o + 7 - 9*o + 3*o**4 wrt o?\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 46 + 46)*(4*n - 4*n - n)*(4*n**2 + 0*n**2 - 6*n**2).\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.728 times -0.058?\nAnswer: 0.158224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29789286870 rounded to the nearest one million?\nAnswer: 29789000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -14*l**3 - l + 13*l**3 - 7 + 3 + 2*l**2 - 4*l**2. Let k = 6 - 9. Calculate the remainder when 20 is divided by t(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4284 divided by -6\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/18*3\/2. Suppose 4*x = 3*j - 42, 0*j + 2*x + 70 = m*j. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -142. Suppose -5*r + 201 = k + 2*k, r = 2*k + 35. Let n be 1\/(42\/r - 1). What is the highest common divisor of n and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.86392004 to two dps.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -536793 - -1785793. Round w to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*n + 16, 2*n + 3*n - 15 = 0. Let j be (t - -1) + -2 + 2. Let h = -3 - -7. Solve 3*f = h*f + j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*(13 - 17). Suppose h = -2*c + 302, 0 = -c + y*h + 20 + 121. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times -746?\nAnswer: -27602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222211121 (base 4) to base 15.\nAnswer: -36a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -488 (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:18 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8606 and 147295.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 15. Suppose -2*v = -i*u - 89 + 21, 5*u - 123 = -4*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47879, -94976, -142073?\nAnswer: -189170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*r**3 + 271*r + 8 - 8 + 13*r**3 - r**2 wrt r?\nAnswer: -90*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 2671.\nAnswer: 2671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (255\/50 + 3)\/((-5)\/(-1)) and 61\/110 + 11\/330*-6.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -110*a**2. Let y(b) = -12*b - 9. Calculate y(t(n)).\nAnswer: 1320*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.6 + 3.4. Let a = -49.99999957 + p. What is a rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21122 take away 0.2619226?\nAnswer: -21122.2619226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, 0.46, -2\/17, -3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 4299793.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/7 (b) 227 (c) 1\/5 (d) 1\/6 (e) -362\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*r, 8*b - 2*r = 10*b + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -61.8 times -47\nAnswer: 2904.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-9)*(-525)\/14. Let y be (-10)\/6*(-10)\/f. Does -0.13 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 14 (b) -0.04 (c) -1 (d) 0.39 (e) -12 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21806.53 rounded to the nearest 10?\nAnswer: -21810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9561*g**2 - 14*g - 9. Let v be h(-11). Let y = v + 10435288\/9. Let o = -2732 + y. Calculate the common denominator of o and -44\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1218321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0*f**4 + 0*f + 0 + 1\/60*f**6 + 5\/6*f**3 + 2*f**2 + 0*f**5. What is the first derivative of b(c) wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662951898?\nAnswer: 2, 3, 7, 43, 40787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1544*p**2 - 85*p**4 - 2681*p - 738*p**2 + 28*p**4 + 59*p**4 wrt p?\nAnswer: 24*p**2 - 4564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10290 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t + 12. Let z(i) = -16*i + 40. Let n(l) = -20*j(l) + 6*z(l). Let c(v) = -26*v**2. Determine n(c(m)).\nAnswer: -104*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 194 - 255 = 19*f - c + 422, -f - 37 = -6*c for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/((c\/(c\/(((c\/((c**(-11)*c)\/c))\/c)\/c)))\/c))\/(c\/(((c\/(c*c\/(c**2\/c)*c))\/c)\/c)*c)**(2\/129) assuming c is positive.\nAnswer: c**(-1171\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 259*n = -254*n + 21, -2 = 4*b - 2*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/12)\/((-1)\/3). Let f be (-1)\/8 + (-891)\/(-88). What are the prime factors of 11*f*a\/(-20)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957432 a multiple of 592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 40 = 5*p, -2*p - 2*i + 0*i + 2 = 0. What is the units digit of 1*0\/p - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 11 - 12 + 18 + (-2*t + 4*t - 5*t)*(-4 + 6 + 0) as w + z*t and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 31, -3 in descending order.\nAnswer: 31, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, p: 2, m: 2, z: 1}. What is prob of picking 1 p and 3 d?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 4*n**2 - 6*n - 7. Let y = -9 - -4. Let w be f(y). Let t(o) = 10*o**2 - 4*o + 7. Let j(k) = -1 + 3 - 3*k + 2*k + 3*k**2. Give w*t(c) + 7*j(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 267. Let n(h) = 3*h + 1. Let s(w) = 19*w + 6. Let k(b) = -6*n(b) + s(b). Calculate y(k(x)).\nAnswer: x**2 + 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + 108\/(-8))*(-312)\/30?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 8*u**2 + 2. Let j be l(8). Let b(z) = -3 + 0 + j*z + z + 3*z. What is b(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25106200 and 7173200.\nAnswer: 50212400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 29. Suppose 4*h + m - 33 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**8\/1120 - y**7\/420 + y**4\/4 + 4*y. Let s(a) be the third derivative of k(a). Find the third derivative of s(g) wrt g.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32920000 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 85 = 5*o, -o + 3*r - 7 = 6. Let a = o - -20. Is 8\/(-4)*(-102)\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -141\/7, -2\/11, 5, -1, -2\/17, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59358)\/(-5327))\/((-30)\/70).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -180683, -180788, -180915, -181076, -181283, -181548, -181883, -182300?\n\"Answer: -2*x**3 + x**2 - 94*x - 180588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -324*g + 540*g - 2160 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12 + 0*z + 5*z - 3 + 17. Let u be r(0). Suppose -2*m = -m - u. Solve 4*d - m = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8225403?\nAnswer: 3, 2741801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) + 1 - sqrt(117)))**2 + sqrt(13) + sqrt(13) + 2 - (sqrt(117)\/(sqrt(9)*-1))**2*-4.\nAnswer: 8*sqrt(13) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/326696 and -89\/1402772.\nAnswer: 272137768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 13*o**2 + o + 18. Let k be x(-13). Suppose 4*h - 31 = 13. Suppose t + 4*m = h, -k*t - m = m - 127. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1168)\/(-96) + (-30)\/(-36) + 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 551*n**2 - 67*n - 121*n - 59*n**2 wrt n.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*n + 1121*n = -2639 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/3, -798, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14313 + 14313 + 2526*x)*(-4*x**2 - 2*x + 5*x**2 + 4*x) as j*x**3 + t*x**2 + i + o*x and give t.\nAnswer: 5052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 - 328772*a**2\/5 + 1972686*a\/5 - 2959056\/5.\nAnswer: -2*(a - 3)**2*(a + 164392)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 40106910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(264\/220)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*q - 121*q - 18. Is 27046*(q - -1)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = -19. Calculate the remainder when 49 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o - 2*o)*(-9 - o + 9).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 25, 12, -7, -32, -63?\n\"Answer: -3*w**2 + 2*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let n(b) = b + 4. Let w be (-7 + 2)\/(2 + -1). Let s(f) = w*v(f) + n(f). Find the first derivative of s(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 + 156. Calculate the remainder when 16 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1198920, 2397840, 3596762, 4795686, 5994612?\n\"Answer: i**2 + 1198917*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 27*x**2 + 24*x + 33. Give q(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -61, -234, -521, -922, -1437?\n\"Answer: -57*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -5320\nAnswer: 33\/5320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 + -0.07. Let x = w - -0.6. Suppose 0 = 2*h + 42 - 40. Which is the closest to h? (a) 2\/13 (b) x (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32188\/5 less than or equal to 6439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44 and -1.836961?\nAnswer: 45.836961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -744 (base 11) to base 5.\nAnswer: -12040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 712, 602, 312, -248, -1168, -2538, -4448, -6988?\n\"Answer: -15*n**3 - 5*n + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s + 20465 - 20465.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -15 + k + 3 + 12*k + 4 + 0*k. Let d(s) be the second derivative of s**3 - 2*s**2 - 3*s. Give 9*d(h) - 4*g(h).\nAnswer: 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 3) to base 11\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28527, -57081, -85635?\nAnswer: -114189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/(-9) + 461 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 91094 = -4*c, 4*c - 27*a + 22*a = 91154. Calculate the greatest common divisor of c and 209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-12))\/(2\/(-36)). Put y, -6, 7, -2 in descending order.\nAnswer: 7, -2, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j - 63. What are the prime factors of i(-27)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 429850*l**2 - 282131*l.\nAnswer: 859700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -v + 37 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4795234 is divided by 380.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*d**2*h*s**2 + 13919*d**2*h - 719704*d**2 + 3*h - 2*s**2 with respect to h.\nAnswer: -27*d**2*s**2 + 13919*d**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10+-0.1538489269849\nAnswer: -10.1538489269849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7*g = 2*g - 26, 0 = 4*g + 16. Factor 16*n + 0 - 8 - w*n**2 + 16*n**2.\nAnswer: 2*(n + 2)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4160)\/(-720) + (-6)\/1 + (-744)\/54?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 105\/(-9) + (-2)\/6. Let r(p) = -2*p**2 - 4*p + 5. Let z(h) = -h + 1. Let s(k) = -r(k) - 6*z(k). Is s(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 29. Let n = -73 + 82. Let i be t(n). Suppose 3*w - 556 = 2*w + o, 3*w - i*o - 1669 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*j + j - 10, -2*c = -5*j - 26. Let y = -1 - j. Factor -2 - 10*i**3 - 2*i**2 + 2*i + 4*i**2 + 8*i**y.\nAnswer: -2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 3. Let p = -1.2 - -1.3. Let y = 0 - 0.2. Which is the nearest to p? (a) y (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 144\/(-84) + ((-4)\/4)\/(3\/(-6)). Let y = -5 + 8. What is the nearest to -9 in x, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:32 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98012 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p - 21*p = 60. Suppose -p*m + 72 = 13*m. What is the smallest common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4748, -19083, -43006, -76517, -119616, -172303, -234578?\n\"Answer: -4794*k**2 + 47*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 12608?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 12*a - 7. Let b be u(8). Let c be b\/(((-5)\/46)\/5). Round c to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0 + 7\/24*u**4 + 1\/20*u**5 + 0*u + 0*u**6 + 31\/70*u**7 + 0*u**3 - 106*u**2. What is the third derivative of b(l) wrt l?\nAnswer: 2232*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (13 + -1 + -31).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)\/k)\/k)**(-2\/67)*(k\/k**4)\/(k*k**(-1\/3))*(k**(2\/3))**12\/(k\/(k*k**(1\/2)))**(-33) assuming k is positive.\nAnswer: k**(-4867\/402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by -46.\nAnswer: -81\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l + 102. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.129 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*w - 220 = 0, -5*t - 3*w - 679 = 486. Let o = t - -234. Is -1 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - a)*(0*a - 2*a + 0*a)*(-5*a - a - a)*(-2*a + 4 - 4).\nAnswer: -56*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 - -2) + 2)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(7\/3)\/(d**9*d))**(-1\/18))**48)**(-1\/15) assuming d is positive.\nAnswer: d**(-184\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 22*x. Let b(r) = -3 + 3 - 44*r - 11*r + 11*r. What is h(b(v))?\nAnswer: 1936*v**2 - 968*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33004 = -507*q + 249*q + 35*q for q.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -f - 4, 4*q + 8 = -f - f. Let i(g) = 19*g**2 - 4*g + 5. What are the prime factors of i(f)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6177 divided by -3.\nAnswer: -2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870900 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4132, 4115, 4098?\nAnswer: 4081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87\/2 + -253\/6. Let n(a) be the first derivative of 0*a**4 - t*a**3 + 2\/5*a**5 + 2*a + 0*a**2 + 13. Factor n(u).\nAnswer: 2*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 2*u**2 + 4*u + 12. Give l(-7).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-20)*r*r**(10\/3) assuming r is positive.\nAnswer: r**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2157686202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20200.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -30*h + 21. Let l(z) = 3*z - 2. Let w(u) = 21*l(u) + 2*n(u). Let b(m) = -m**2. Give w(b(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/49)\/((-22)\/2233*-29)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l - 2. Let z be v(-4). Let x be z\/(-153) + 4\/(-18). Suppose -p + 135 = 3*w - x*w, -5*p - 29 = -w. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497a0 (base 16) in base 4?\nAnswer: 1021132200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -7, -1\/7, -3065 in decreasing order.\nAnswer: -1\/7, -1\/2, -7, -3065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d - p = -3056, -5*p - 3056 = -4*d. Let w = 1302 - d. Suppose 6*o = 8*o - w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 215 = -p. Let c = 11 - 7. Suppose -2*s - 3*s = -a - 40, 0 = -c*s + 3*a + p. What is the greatest common factor of s and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179238 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 + 93. Suppose -m + 1 = n*d - 16, -5*m - 27 = -3*d. Solve 0*z - d = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118422072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 2*j + 8 = 5*c, 4*c - 4 = j. Suppose 3*i - 2*i = c. Suppose -4*p = -i*p - 40. What is the remainder when 28 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456672829?\nAnswer: 17, 19, 53, 85091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4824*y + 2 = -4*z + 4826*y, 376 = -137*z + 7*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 48 (b) -0.1 (c) -44 (d) -0.4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -302 + 302.1. Which is the third biggest value? (a) q (b) 4 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 2181.\nAnswer: -6\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34, 35, 38, 43?\n\"Answer: u**2 - 2*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 10*r**2 + 8*r + 13. Let j be o(9). Suppose j*v - 5 = 3. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10*t + 6*t = -6, -23 = -5*q - 2*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + d**3 - 2*d + (4*d**3 - 3*d**3 + d**3)*(-25 - 20 + 28).\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 27 - 39)*(-a + a + 2*a**4).\nAnswer: -86*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 69, 1\/2, 10, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 1 + -1 + 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29241*a + 438 = -29387*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c - 2. Let h(w) = w - 1. Let v(d) = -3*h(d) + r(d). Let t = -923 - -912. Let q(g) = -5*g + g + 3*g + 0*g. Give t*q(y) - 2*v(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 241342 (base 6) to base 14\nAnswer: 7982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-1) - 1) + -19. Let m = 67\/3 + z. Factor 0*l**2 + m*l**4 + 2\/3*l**3 - 2\/3*l - 1\/3.\nAnswer: (l - 1)*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/13760 and -67\/36?\nAnswer: 123840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 3) to base 6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*u + v - 0, 3*u - 11 = -4*v. Suppose i + 13 = -1. Let l = -10 - i. Put -1, l, u in ascending order.\nAnswer: u, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3170874 by -528479.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3 + 15 = 3*j, j + 24 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 18 + 0*x + 4*x + 12 to v + k*x and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32823.3mm in kilometers?\nAnswer: 0.0328233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347191808*y**2 - 14 - 347191807*y**2 + 14.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 354*v**3 - 3*v**2 + 33*v - 31. Calculate the remainder when n(1) is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 71*a**3 + 2*a**2 - 2*a. List the prime factors of i(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*u + 3*u**2 - 17*u + (-1 - 1 + 1)*(-u**2 + u**2 - 2*u**2) - 4 + 4 - 3*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 24 = -4*m. Let u = m - -25. Let r = u + 3. Solve -r = 3*q - 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82652524.40000748 - 82652517. Let y = -7.4 + j. What is y rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -5*x**4\/24 - 22*x**3\/3 - 18*x**2. What is the smallest common multiple of o(-11) and 37?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10176517?\nAnswer: 13, 37, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720*w - 312*w - 389*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:06 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70839612.\nAnswer: 2, 3, 17, 115751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 155 at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 1080117*i**2 + 541832*i**2 + 538285*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-27)*l*l*l**(1\/31) assuming l is positive.\nAnswer: l**(-743\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 34*k + 33 - 2*k - 3*k. What is the tens digit of f(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 6\/11 (c) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4 + 1545*a**3 + 199689*a**2 + 198147*a = 0.\nAnswer: -257, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 3)*(l + l - l) - 2*l - 3*l + 14*l + (-4 + 7 + 1)*(-4*l + 5*l + l).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366\/(-1528) - 4100\/391550?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 + 4*n - 3. Let p be v(-4). Let k(y) = 22*y - 39. Let z be k(6). Let x = -86 + z. Sort x, -1, 0, p in decreasing order.\nAnswer: x, 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-0.1.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -32670769\nAnswer: -6534153.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 526 and 142546?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -23988*h + 144255. Determine t(6).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-30)\/40)\/((-5)\/500)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/((-13)\/(-5)). Let r be -2 - -3 - (-10)\/(-4). Which is the third biggest value? (a) r (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -4420.\nAnswer: 145860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -4249971?\nAnswer: -4249971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 59. Solve 2*m - 4 = 5*t - t, -2*t = -r*m + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w + 1. Let u(y) = -4*y + 1 + 17*y + 4*y. Let m(l) = 8*d(l) - 5*u(l). What is the first derivative of m(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184.16 - 2.04. Let o = -186 - r. Let s = -165\/26 + 13\/2. Put 3\/2, s, o in descending order.\nAnswer: 3\/2, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + 0. Suppose h*f - 35*f + 759 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = 4. Suppose -5*s + 3 + 6 = -d, -3*d = -3*s + a. Factor 6*n**2 + n**s - 7*n**2 + 3*n - 3*n**2.\nAnswer: -3*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2)\/c)**(-18\/7)\/(c**(-5))**39 assuming c is positive.\nAnswer: c**(1410\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 95941747063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/2*(-3 + 5). Suppose 0 + 5 = i*d. Suppose 52*c + 24*c + 98 = 326. Calculate the greatest common divisor of c and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/217, 328\/7, -2\/7, 0 in descending order.\nAnswer: 328\/7, 0, -6\/217, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f + 111. Let s be l(-18). What is the nearest to -0.1 in -1, s, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*y = 8. Suppose 0 = y*u - 3*u - 60. What is the highest common divisor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-68)*1\/(-3)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = -0. Let a = d - -7. Suppose -6*q = -4*q - a. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 291.7 - 293.7. What is the second smallest value in 1\/25, 4, -0.1, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 15*u - 104. Let g(s) = -47*s + 317. Give -19*c(x) - 6*g(x).\nAnswer: -3*x + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -200*w + 2198. Let g be j(11). Sort 1, 5, g, 3170 in descending order.\nAnswer: 3170, 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -503 > -3025\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.004 + -1.096. Let m = -0.9 - r. Let t = 44.6 - 41. Which is greater: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(48))**2 + 1 + (sqrt(432)*1)**2 - (0 + sqrt(24)\/sqrt(2))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p + 80. Let m be w(7). Suppose 2*l + 3*c = -198, -4*l = -0*l + 3*c + 396. Let g be l\/(-27) + 1\/3. Solve -x = g*j - 8, x + m + 4 = j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.832 - -21.078. Round l to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-4))\/30*(-1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.533 + 0.033. Let b = -11 - r. Put -0.5, 8\/7, b in decreasing order.\nAnswer: 8\/7, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 12. What are the prime factors of u(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(462)\/(sqrt(55)\/(sqrt(20)\/sqrt(4))))\/(-1*sqrt(6)*3*-5).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j**2 + j - 1. Let n be t(1). Let u = n + -2. Let f = 7 - u. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1207009 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5450.014 centimeters in millimeters?\nAnswer: 54500.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -634625 (base 7) in base 12?\nAnswer: -53602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q - q)*(3 - 4 + 3) + 245*q - 253*q - 162*q - 2 + 2 - 2*q.\nAnswer: -170*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16982*o**5*r**2 - o**3*r**3 + o**2*r + 58806*r**3 wrt o?\nAnswer: 1018920*o**2*r**2 - 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 174, -10, -0.5, 1.323?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*s = -2*b - 19, -s = -3. Let a be (2\/(-3))\/(2\/(-12)). Solve -b = 3*i + a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2780 - -2778. Which is the second smallest value? (a) 0.3 (b) 0.07 (c) -0.3 (d) -3\/8 (e) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:32 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 + 6*n - 2. Let z be j(-3). Calculate the greatest common factor of z and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020991 to 4 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 20. Let s be -1*(11\/3 - 4\/1). Sort 0.2, 1.1, f, s.\nAnswer: 0.2, s, 1.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 937311756?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(-3)\/(-6)*-2. Is -3 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*x + 71, -2*b + 0*b - 60 = 4*x. Let i = -17 - x. Suppose 3*o - 3*q - 3 = i, o + q = 3*o - 1. Solve -2*d - d + 15 = o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -478*p + 4580. Let b be o(8). What is the greatest common divisor of 24 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 + 32 = 0. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 - 48*i**2\/5 + 1394*i\/5 + 912.\nAnswer: -2*(i - 19)*(i + 3)*(i + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -1964 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**5 - 12*k**4 - 6*k**3 + 40*k**2 - 24*k = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 12. Suppose -h*n - 5*s = -4*n - 751, 4*n + 2960 = -2*s. List the prime factors of 2\/(-12) - n\/18.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 6*x - 9. Calculate w(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*t = -5*t - 6, 4*t = -12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-30))\/((-2)\/(-10)). Suppose 9 + 1 = u. Suppose b + f - 4*f - u = 0, 3*f = y*b - 26. Calculate the least common multiple of 12 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**5\/60 - 5*u**4\/24 - u**3\/3 - 25*u**2 - 13*u. Let g = -2 + 2. Suppose -5 = -v - g. Determine b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**15\/j*j))\/j*j*j*j*j*j\/j**(9\/4))\/(j**(-16))**39 assuming j is positive.\nAnswer: j**(2443\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + j**3 + 5*j - 8*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4599? (a) -7 (b) -11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -34) + -12 + 4 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8379497?\nAnswer: 7, 661, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 202 + -194. Calculate the highest common divisor of k and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/7)\/v)**3\/(v**(-9))**32 assuming v is positive.\nAnswer: v**(1986\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9 = -l, 2*l + 0*l = z + 3. Suppose -5*m = l*g - 33564, 3*g - 7*g = -m - 44729. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2753 divided by 1.\nAnswer: -2753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3667740 to the nearest integer?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1378, -5510, -12394, -22030?\nAnswer: -34418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3\/21 + 287860*u**2\/21 + 4893074*u\/21 + 219296 = 0.\nAnswer: -143913, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 1 = -2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 8:44 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19692102139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a + -1267?\nAnswer: -12b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 0.24297\nAnswer: -2.18673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12651*n + 3364. Is l(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -95*w**8\/336 - 27*w**5\/20 + 11*w**4\/24 + 1486*w**2. Find the third derivative of t(p) wrt p.\nAnswer: -5700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3 + 6. Suppose -5*i - 1 = -11. What is the second derivative of 27*t**i - 27*t**2 + w*t + 4*t**4 wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwuw when four letters picked without replacement from xwuxxxxuxxuxxwwxwx?\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -828243, -828369, -828495?\nAnswer: -828621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(171))*4.\nAnswer: -8 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nmnnxnnnxnnnnn.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/15 - 4\/(-20)) + (-218466)\/37098?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -738 + 8911\/12. What is the common denominator of h and -115\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 6, f: 1, v: 3}. Give prob of sequence jj.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-6)*b)\/b)\/((b*b**(9\/2))\/b)*(b**(-1\/6))**(3\/10))**(-2\/3) assuming b is positive.\nAnswer: b**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -460*q + 6058*q + 13956*q + 1307*q to w*q + g and give w.\nAnswer: 20861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (103\/(-4))\/(-1 + (-18)\/(-24)). What is the second derivative of 138*z**2 + 89*z + g*z**2 - 61*z**2 + 166*z wrt z?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 + 6*s**3 + 265560*s - 265560*s - 1 - 2*s**2 in the form n*s + i*s**3 + g*s**2 + d*s**4 + w and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*z**3 + z + 59*z**3 + 75*z**3 - 11 wrt z?\nAnswer: 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let n(i) be the second derivative of -1\/60*i**6 + 1\/24*i**4 + i + 1\/40*i**5 + 0 + 0*i**f - 1\/12*i**3. Factor n(k).\nAnswer: -k*(k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - 56?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6948 and 87236?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 919777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - 0) + -2 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7) - (-2 + sqrt(7) + sqrt(7))) - -3*(sqrt(7) + 1).\nAnswer: 2*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13520? (a) -0.5 (b) 1\/2 (c) 1 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -2845.\nAnswer: 54055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 99 = 5*z - x, -5*x = -10. What is the greatest common factor of 105 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from xxxnxkxsqk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -89847221, -179694443, -269541665?\n\"Answer: -89847222*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1318, 818, 2954?\nAnswer: 5090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1394 and 21.252730356.\nAnswer: 1415.252730356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 2526282330?\nAnswer: -2526282342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 925260 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.842419t to nanograms.\nAnswer: 3842419000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12199?\nAnswer: 11, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.37 + -0.03. Let y = -4.86 - -3.86. Which is the nearest to y? (a) 2\/47 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90042360 to the nearest 1000000.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 197.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -3 + 1 + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = n - y, n = 3*y + 13 + 4. Let s = 11 + -9. Let x(l) = 3*l**2 - 5*l + 13. Let v be x(0). Solve -2*u + 3*p = -v, n*u = -4*p + 4 + s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/136014 and -7\/54.\nAnswer: 1224126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2543 (base 6) to base 8\nAnswer: -1177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 17. Suppose -5*p + 7 = 4*f, 21 = -p - f + 22. Suppose -15 = -q - p*w, 14*q - 12*q + 4*w - 24 = 0. Is q not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2207286.9us to minutes.\nAnswer: 0.036788115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 1, t: 2, e: 2, i: 6}. Give prob of sequence egts.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.06 + -7.28. Let v = i + 0.22. Put -3, 4, v in decreasing order.\nAnswer: 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -3 (b) 2\/27 (c) -1.88 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((-15)\/(-10) + -2). Which is the smallest value? (a) d (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.11 - 0.11. Let p = -3\/182 + 50\/273. Let k(v) = -v - 8. Let z be k(-6). Sort z, p, u.\nAnswer: z, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {y: 4, s: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53057*p**4 - 74327*p**2.\nAnswer: -1273368*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 358050 and 6.634?\nAnswer: 358043.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 260217, 520037, 779853, 1039665, 1299473?\n\"Answer: -2*n**2 + 259826*n + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 4. Let o be d(-3). Sort o, 0, -4 in ascending order.\nAnswer: -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/10)*f)\/(f**36*f) assuming f is positive.\nAnswer: f**(-367\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1787 and 76690892.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12856683?\nAnswer: 3, 7, 612223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6323838*s**5 - 2297626*s**2.\nAnswer: -379430280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1639 and 18?\nAnswer: 29502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-5))\/(10\/(-25)). Let r be -3 - 2 - (-20)\/(11180\/2769). Which is smaller: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.1. Let d = -160 - -156.8. Let n = c + d. Is n at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 17*r - 50. Let c be f(20). Let u(n) = -3*n**3 + 29*n**2 + 10*n + 1. Let g be u(c). What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v - v)*(1 - 2 - 1) + 20 - 63*v - 20.\nAnswer: -65*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95\/228)\/((-3)\/24) + 4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*t - 22, -2*i - t - 16 = -6*i. Let h be i\/(-7 - -4) - -15. Calculate the highest common divisor of h and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*q - 648*q = -124 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*o - 6, 0 = -2*n + n + 2*o - 4. Suppose 3*d + d - 8 = n. Suppose -d*q = -47 - 77. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23720085, 5, -4 in descending order.\nAnswer: 5, -4, -23720085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513164 is divided by 2241?\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2824.714 and 0.979.\nAnswer: 2825.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(-2*-2*(sqrt(209) + sqrt(209)*2 + sqrt(209)))\/(-4*2*sqrt(11) + sqrt(11) + 2*sqrt(11)*2 + sqrt(11)))**2.\nAnswer: -320*sqrt(19) + 30416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 10538809663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 + d + 7. Let x be g(0). Let l(u) = 6 + u + 3 - x + 7. Let f be l(-5). Which is the second biggest value? (a) -4 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from oodddoddddoxdkoo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:27 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 444 and 10?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192*n*t**2*w**2 - 4236*n + 2187*t**2*w**2 + 6*t**2 + 2*w wrt w?\nAnswer: 384*n*t**2 + 4374*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -1.47?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(5) - -3*1*sqrt(5)))*4 + (-2 + ((sqrt(180) - 2*sqrt(180))**2 - sqrt(180) - sqrt(180)))*-2)*-2.\nAnswer: -80*sqrt(5) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/136808 and -45\/698.\nAnswer: 136808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 391 + -353. What is the second derivative of 197*q + 243*q**5 - x*q**5 - 199*q wrt q?\nAnswer: 4100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*a = -54*a - 13*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 43 + 47. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/15 + x**3\/6 - 2*x**2. Let c(j) = j**3 - 4*j**2 + 3*j - 1. Let f be c(3). Give g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and -40393.6.\nAnswer: -40393.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - (sqrt(152) + 1*sqrt(152) + sqrt(152))) + sqrt(152))\/sqrt(8) - (sqrt(19)*1 + 3)) + 0.\nAnswer: -2*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138156 is divided by 1868?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 7:50 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5212761 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**2 + 2*t**2 - 22*t**3 + 6*t**2 wrt t.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*r**2 - 210*r**4 - r**2 - 226*r - 7*r**2 - 50*r wrt r?\nAnswer: -2520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 24\/6 - -9. Which is the smallest value? (a) -0.2 (b) -1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/14 - (-120)\/420 - -278. What is the greatest common divisor of z and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.06 + 24.08. Which is the second biggest value? (a) 0.07 (b) 1\/3 (c) q (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 650132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 6. Let k be y(6). Let t(g) = -g**3 + k*g**3 - 5*g**2 - 3*g + 0*g**2 + 4. Is t(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q - 138 - 165*q + 27*q - 94*q.\nAnswer: -213*q - 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32280985 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52 + -1 + -3 + 2. Let u be 0*(4\/2)\/4. Suppose 5*g - 259 = 2*o, u = -g + 3*o - 2*o + i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -11 + 4 + 13 + 6*d + 11. Let b be m(-8). Let l = b - -36. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455345 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**7\/630 - 89*v**4\/12 - 261*v**2. Let h(t) be the second derivative of l(t). Let o(r) = 26*r. What is h(o(b))?\nAnswer: -2704*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2918 or 0.05?\nAnswer: -2918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 68 + 8 = 0. Suppose -3*i + 1684015 = 4*d, -334575 - 1349450 = -j*d - 5*i. What is d rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 36 = 8*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = -0*w. Let t = -1 - 2. Let m be (t\/(-4))\/((-9)\/w). Is m not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/((-1)\/1))\/((-293)\/(-1465)). Calculate the greatest common factor of l and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 117 = -23*b + 4*h, -5*h - 5 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/6 + 12791003*w\/3 + 8527335\/2 = 0.\nAnswer: -25582005, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t**2 - t - 4. What is c(7)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4111207 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/15 + 2512*b**4\/15 + 12622*b**3 - 1196428*b**2\/15 + 2433208*b\/15 - 109040 = 0. Calculate b.\nAnswer: -1175, -87, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - t + 4*t)*(-1 + 2 + 1) + (-11 + 12 - 9)*(-4 - 4*t + 4) + 19*t - 6*t - 14*t in the form q + s*t and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8540 = 60781*m - 59927*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s - 3*s)*(-2*s**2 + 3*s**2 + 0*s**2)*(-53203 + 112465 - 54291).\nAnswer: -4971*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 - 1976 + 936 - 2948.\nAnswer: 3*x**3 - 3988","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 156060 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q**2 + 0*q**2 + 0*q**2)*(257 - 486 + 111)*(0 + 2 + 2)*(-2 + 4 - 3) as y + c*q**2 + s*q and give c.\nAnswer: 1888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.705886038 to 3 dps.\nAnswer: -0.706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1366*a - 3854*a + 126*a - 2788*a in the form m + r*a and give r.\nAnswer: -5150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73\/77 + -12\/11. Let s = 8798 - 61588\/7. What is the smallest value in -4, -8, s, k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 5:44 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2)\/3*15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945339?\nAnswer: 3, 139, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/10 - -2*(66429 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q**2 - 271*q - 6. Let h(o) = -o**2 + 2*o - 1. What is 6*h(f) - s(f)?\nAnswer: 3*f**2 + 283*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 2553144.\nAnswer: 7659432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2332133 (base 7) to base 16.\nAnswer: 47b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -44578980.1.\nAnswer: 44578980.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31723, -31716, -31709?\nAnswer: -31702","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 lxsndxln.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5 = 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivm when three letters picked without replacement from iimemhev.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 1 - 1 + (-8*r - 6*r + 1 + 8*r)*(4 - 4 + 1).\nAnswer: -7*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2119665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-275)\/66*3*-4*3\/(-135)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*n + 84*n = 11594. What is the lowest common multiple of n and 16?\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2550 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930652869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 13 = -3*o - 5*t, 4*t - 10 = -2*o. Suppose 1 = o*b - 3*z - 8, -4*b + z + 9 = 0. Solve -b*d = 5*y + 10 + 10, -8 = 2*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*q - 18 = 0, -4*q + 7 + 9 = 0. Suppose -s - 2 = -a*s. Let v be s - -2 - 2\/(-2). Solve -v*z - 2 - 14 = 2*g, -3*g - 5*z = 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515462?\nAnswer: 2, 3, 13, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -93621045 take away 0.1?\nAnswer: -93621045.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 677305461 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 - 8*o**3 + 588*o**2 - 1136*o + 560 = 0.\nAnswer: -14, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m. Suppose 3*l + 1 = p - 7, -2*p = 5*l + 6. Which is the smallest value? (a) -0.5 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(6\/(-9))\/(182\/(-91)))\/((-1)\/(-19)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 30 = 2*k. Let g(d) = -2*d - 6. Let j be g(-3). Solve 5*r = -j*r + k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4781\/(-12294) - (-3)\/(-27))*-218.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 9*r + 12. Let h be q(-8). Solve 2*g + 15 = -5*a, -4*a + h*g - 40 = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -509163 - -509157. Let k = 6922\/3 + -380554\/165. Let j = k + -6\/11. Put 2\/15, m, j in descending order.\nAnswer: j, 2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 83. List the prime factors of (-3 + v\/(-6))\/(4\/2670).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*l - 26796 - 41582. Calculate the remainder when l is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, -33, 0.4, 1\/7 in ascending order.\nAnswer: -33, -8, -5, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -488\/15 + 521\/15. Put 0.1, 2\/21, 0.2, m in decreasing order.\nAnswer: m, 0.2, 0.1, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-5*(-2)\/5. Let k be 2 + -1 - m\/2. Let i be 1 + k\/(-1) - 1. Solve 5*j + 12 = -2*w - 13, i = -3*j - 3*w - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 232. Let x = w - -91. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162679.\nAnswer: 7, 163, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4\/3 - 5*h**3\/3 + 15*h**2 + 15*h.\nAnswer: -5*h*(h - 3)*(h + 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 28 = q. Suppose 7*b - 11*b - 3*l = 9, -3*b + 5*l + 15 = 0. Let w be (b - 3) + 77\/28. Put q, -2, w in ascending order.\nAnswer: q, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7772.93 + -7773. Let d = -2.5 + -0.5. Which is the closest to -2? (a) d (b) 2\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37419*k**3 + 20239*k**3 + 17910*k**3.\nAnswer: 730*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**3\/3 + 43*g. Let h(i) = 5*i - 1. Give c(h(o)).\nAnswer: 10*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5847260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3341 is divided by 1109.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 10 - 411*v**3 - 413*v**3 + 820*v**3 + 4*v**4 to the form c*v**4 + y*v + j*v**2 + i + o*v**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 4:37 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/190)\/((-233)\/(-26562)). Let g = 3 + 1. Suppose q - 25 = -g*b - 9, -b - 5*q + 23 = 0. Solve 5*s + c = 4*n, 2*n + b*n - 15 = -s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4\/3 + 16*d**3\/3 - 20*d**2\/3 + 8*d\/3 = 0. Calculate d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1944 + -1933. Solve -i*d = -8*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210920*w + 424093*w - 213211*w.\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0)\/((-112)\/252) - 4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 105 + 2*r**2 - 1\/4*r**4 - 2\/3*r**3 - 3*r. Let x be (12\/(-10))\/((-3)\/(-10)). Give p(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 254, 357, 460?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 62. Suppose 93 = 3*i - 0*i. Let c = i - f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/65)\/((-3)\/(-15))*(-18)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 6 + 2*o**3 + 0*o**3.\nAnswer: 4*o**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 345938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -8. Let n be 0\/(g\/((-9)\/(-3))). Suppose 0 = m + 4, n*q + 3*m - 16 = -4*q. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0 - (215 + -220)) + (20 - -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1)*((-3 + 4 + 0)*(-x**4 + 2 - 2) + 18*x**4 - 22*x + 22*x + 0*x**4 + 4*x**4 - 3*x**4).\nAnswer: -36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) 0 (b) 2 (c) 248\/11 (d) 0.1 (e) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310244 - -2124?\nAnswer: 312423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5367 and -47179222586?\nAnswer: 47179227953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1700))*6 - -3*(sqrt(1700) - (0 + sqrt(1700) + sqrt(1700) - sqrt(1700))))**2 + 2.\nAnswer: -1440*sqrt(17) + 61346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5 = 23. Let z = -6 + g. Sort 2, z, -3 in descending order.\nAnswer: 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 13)*(0 - 1 - 1)*(-p**2 + 0*p**2 + 9*p**2).\nAnswer: 256*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 40*m + 377. Let g be v(-14). Let u(h) = -h**2 + 9*h - 13. Give u(g).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 1755*j**3 + 2*j - 5277*j**3 + 1753*j**3 + 1762*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let y = b + 1. Solve -5*d = q - 13, y*d = 4*d + 3*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -41. Which is the closest to p? (a) 0.2 (b) -2\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140 divided by -4?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1248.5 - 1249. Let j = 26 - 105\/4. Which is the closest to 1? (a) t (b) 5 (c) 2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 0 (c) 7\/4 (d) -1 (e) 4354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1042, 2\/9, 79?\nAnswer: 1042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) + 85238\/230 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11457 and 225321?\nAnswer: 675963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = -176 + 200 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 33\/8, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y - 4. Let t(g) = -7*g + 7. Let v(u) = 11*d(u) + 6*t(u). Let r be v(-1). Suppose -4*a + r = -65. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 8*n)*(-n**2 + n**2 - n**2) + 4*n**3 - 26*n**3 - 12*n**3.\nAnswer: -38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5. Suppose m - 4*r - 14 = 0, 5*m + 2*r + v*r - 4 = 0. Calculate the remainder when 3 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 4, x: 1, l: 1, g: 6}. Give prob of picking 1 x and 1 g.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 0 (c) 5 (d) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 12:58 AM?\nAnswer: 287","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -96*f**3 + 30 + 14 - 5. Let w(b) = -5*b**3 + 2. What is -6*u(i) + 117*w(i)?\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + z + 11. What is the remainder when y(0) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 6*w - 4. Let x be l(-6). Suppose 2*v = -2*v + 12*v. Which is bigger: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1579 and -0.06.\nAnswer: -1579.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f + 51 = 0. Let s = f - 9. Let g = s - 8. Solve g*p = -3*i + 3*p, p = -3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 64*g**2 - 6*g - 1. Let f be n(-1). Let h = f + -64. Suppose -h*r - 16 = -o, -o + 24 = -4*r + r. Calculate the remainder when 69 is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 14) in base 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9190000 to the nearest 100000.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -2405.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = x - 13, 52 = x - 5*l + 9. Suppose 4 = -3*j - 5*o - x, 0 = -o - 5. Let p be (-2 - j)*(8 + 87\/(-9)). Solve 5*u - p = 4*y, -2*u - u = -5*y - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 268\/9 - 2640\/88?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4968 divided by -27\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 125 = -122. Is (-9 - -1635) + 2 + o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1897*i + 5652. What is w(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52030 is divided by 910?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + 7 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 77 = -2. Let x(d) = -2*d**3 - 18*d**2 - 6*d - 52. Let k be x(-9). Solve 3 = -2*z + 4*q + 13, 3*z = k*q + j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5324032 (base 7) in base 3?\nAnswer: -1012202120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1511.647 and -2126444.\nAnswer: -2127955.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 167.579 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (41 + -37)\/(2\/3). Let w(v) = -u*v**2 + 5*v**2 + 4*v - v - 3*v. Let c(l) = -277*l. Give w(c(n)).\nAnswer: -76729*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:19 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 11, 10, 9, 8, 7?\n\"Answer: -t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**3*s**3 - 5*f**3*v + 2*f**3 + 18*f**2*s**3*v - f*v + 4 wrt f?\nAnswer: -60*s**3 - 30*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.7 - 6.6. Let p = -0.2 - w. Let o = p + 4.30000008. What is o rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30611, -61563, -93213, -125909, -159999?\nAnswer: -195831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -v - 4, 9*v - 4*v = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-6 + -4) - 13) + (3 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + 11\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016828036 rounded to seven dps?\nAnswer: 0.0001683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 14) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99037303 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -173*v + 170*v + 2583. Is 41 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4110*j - 4112*j + 1924 = 0. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 21*o - 78. Calculate the remainder when 55 is divided by h(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + z - 3*d + 7, 0 = 5*z + d - 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*a - 3 = -3*a, 3*f + 3 = a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -5, -4*x - 5*o + 81 = 0. What is the greatest common divisor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-21) - (-7)\/((-882)\/30). Which is the closest to -1? (a) 2 (b) -5 (c) h (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*s + 10, -60*t - 14 = -61*t + 2*s. Solve 7*o - 5*o - 2 = -4*f, 0 = -2*f + t*o + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 2*d + 0*d + 5 + d**2. Calculate x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/3, 0.58, -0.3, -6\/11, 0.5.\nAnswer: -16\/3, -6\/11, -0.3, 0.5, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-25) - (-6)\/(-10). Suppose 0 = -z*f + 9*f. Is 2\/5 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 17. Let x be d(9). Let a(j) = 2*j + 24. Let h be a(x). Suppose 0 = -4*p, -2*b + h = 2*b - 5*p. Calculate the greatest common factor of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 45 = -5*s. Let h be 4\/18 + 80\/s. Suppose 0 = 7*y - h*y - 10. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1308*w - 238*w - 49*w + 349*w + 1370 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 4 - 5 - 3 - 2. Determine o(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.7 + 764058?\nAnswer: 764041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*w - 20. Suppose w = n + 2*h - 19, 4*n - 4*h - 156 = 0. Suppose 2*i = l - 6 - 9, 10 = -5*i. Calculate the remainder when n is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*l + 7, 0 = 2*s + s - 3. Let r(k) = 9*k + 2. Let y(u) = 5*u + 1. Let j(m) = l*r(m) + 5*y(m). Let x be -7 + 8 + 0\/2. What is j(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4869123864.\nAnswer: 2, 3, 11, 331, 55721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 0.099\nAnswer: 0.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 9)*(-14)\/28. Suppose 0 = 2*g - 3*i + 5*i - 516, 5*i - 1028 = -k*g. What is the tens digit of ((g\/4)\/(-1)*-2)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532851 divided by 264?\nAnswer: -16147\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 36.6. Let z = -3 + k. Let f = -1.02 - 2.98. Which is the second biggest value? (a) -3\/8 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/(-6)*4\/(-16)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 4) to base 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 2*y**2 + 3 - 3*y**3 - 2 + 3 - 1. What is the units digit of v(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -7*m**6\/360 - 2*m**4 - 137*m**2. Let y(g) be the second derivative of x(g). Let i(h) = -19*h**2. Calculate y(i(l)).\nAnswer: 266*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, 92, -3, 5, 2 in decreasing order.\nAnswer: 92, 5, 4, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvu. Give prob of picking 1 z and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 8*g**2 - 11. Let a be w(8). Let n = 14 + a. Suppose -n*l = q - 13, 0*l + 2*l - 3*q = 16. Solve j = -l, -3*f - 24 = -4*f + 5*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2876896, 2876899, 2876904, 2876911, 2876920, 2876931?\nAnswer: 2876944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 172767 and 331585235.\nAnswer: 331758002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*u = -122478 + 76110 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 0*c**3 + 0*c**3 + (0 + 8 + 4)*(-2*c**4 + 0*c**4 + 8*c**4).\nAnswer: 70*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {i: 1, z: 2, u: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 7. Let b be u(0). Let c be (-3668)\/(-98) + (-17)\/b + 2. Let n = c - 37. Solve 2*d + 3*d = n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**2 - 163*y**4 - 2 + 26*y**2 + 159*y**4 + 29*y**3 + y - 3*y - 17*y**2 to the form s*y**4 + r*y**2 + o + x*y**3 + f*y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*2\/28)\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.868 - 5.9?\nAnswer: -57.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 24 - 10)*(-3 + 1 + 5)*(2 - d - 2).\nAnswer: 102*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/4)\/((-385)\/(-3220)*-23)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n**2 + 20*n - 4. Let a(l) = 55*l**2 - 125*l + 25. Let v(p) = 4*a(p) + 25*h(p). Let t(b) = 76*b**2. What is v(t(d))?\nAnswer: -28880*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Suppose -24 = b*f - 92. Let w(i) = -40*i + 16. Let q be w(-3). Calculate the highest common factor of f and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-2*w**3 - 7*w**3 - w**3).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let v = z + 1.00006. What is v rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13*x**3 - 3*x**2 - 27*x + 32. Let z(p) = 20*p**3 - 4*p**2 - 40*p + 48. Let w(o) = -8*l(o) + 5*z(o). Determine y, given that w(y) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 2*u. Solve 3*l = n - 2 - 8, -u*l - 24 = -4*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, a: 5, r: 3, n: 9}. Give prob of picking 1 a and 1 z.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2197, -8534, -19139, -34006, -53129, -76502, -104119, -135974?\nAnswer: -172061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2416877009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26688 - 26680. Let m(i) = i**2 - 10*i - 24. Give m(u).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.9 + 162.\nAnswer: 152.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-253)\/(-4048) - 103\/112?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.7 in -5, 6, 0.058, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2677 + 6028*f**4 - 1399*f**3 + 41836*f**2 + 484*f**5 - 1077 + 15271*f**3 + 1457*f**3 + 15280*f + 10568*f**3 = 0.\nAnswer: -4, -5\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33282211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 11*n**2 - 22*n - 8. Let o be v(11). Let h be (-2)\/(-13) - o\/65. Suppose -w + 31 = -2*a - 101, 0 = -3*w - h*a + 376. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 99 = 54. Let z = h - -27. Let s = 29 + z. Solve 9 + 1 = -s*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21 - 19) + 3*2. Let c be b - (4 + -2) - 0\/(-6). Let h(z) = -z**3 + 5*z**2 + 4*z - 9. Determine h(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12221 - -5032?\nAnswer: -3145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 26585.172 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1176, -4234, -9316, -16422, -25552, -36706?\n\"Answer: -1012*k**2 - 22*k - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 1275.7.\nAnswer: 1275.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -134*q**2 - 43147*q + 387. What is m(-322)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 9*i**2 - 3 - 12 - 8.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 3*q + 2. Calculate b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 105, 157, 211?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*w - 12444, 4*w = 2*w + 5*m + 8274. Calculate the remainder when w is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56 - 537*k**5 + 9 - 5*k + 39*k - 131*k**5 wrt k?\nAnswer: -13360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20497\/20 + 1025. Let m be (-6)\/10 - 46\/(-10). Suppose -3*l - l = m. Do b and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 328\/243 or 1?\nAnswer: 328\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*r**2 + 0*r**3 + 0 + 0*r + 2\/9*r**4.\nAnswer: 2*r**2*(r - 1)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90815 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1388885774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 7, y: 2}. What is prob of sequence ey?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbw. Give prob of sequence bb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 5:31 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -265 or -258?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 830, 1223, 1616, 2009, 2402?\nAnswer: 2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 7 - 17 = -3*f, -4*f + 7 = -1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -19*o + 56. Let g be v(3). Which is the third biggest value? (a) -2\/9 (b) 1\/6 (c) g (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426630473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -135. Suppose -5*o + 2*o + 12 = 3*z, 2*o - 20 = 4*z. What is the remainder when 4\/(-16)*o*-70 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 + 82 = 6*z. What are the prime factors of z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -957 - -763.6. Let o = n + 193. Which is the nearest to -1? (a) 7 (b) 0.2 (c) -1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3290 and 41\/211218.\nAnswer: 1056090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*4\/(-36)*-3. Is ((-129)\/(-12))\/(o\/(-44)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810092 divided by -202523?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1221294 and 3138.\nAnswer: 638736762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1825 + -1822. Solve 0 = b*f - t + 4*t - 12, 3*f = -2*t + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518555231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*s + 17*s**2 - 51*s + 33*s**2 + 96*s.\nAnswer: 50*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -481*v**3 + 484*v**3 - 3*v**2 - 2*v**5 - v**5 + (-6*v**3 + 2*v**3 + 2*v**3)*(-7*v**2 + 0*v**2 + 0*v**2).\nAnswer: 11*v**5 + 3*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 9:41 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2103 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1603*i**3 - 3*i**2 - i + 2. Suppose -4*q + 0 + 9 = -3*s, 5*s - 5*q + 10 = 0. Is o(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2\/(-8) - 45\/(-164)). Calculate the remainder when 65 is divided by (-2 - z)\/4 + (4 - 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -932 = -33*b - 800. Suppose 1 = -x - 5. Put -1, b, x in descending order.\nAnswer: b, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -9. Let i = 578 - 581. What is the closest to f in i, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-6) - 2\/12*-65. Differentiate 17 - y - 13*t - 49 wrt t.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (150\/(-175))\/(63\/1764)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(68)*-2 - ((sqrt(1088) + 0)**2 + sqrt(17))).\nAnswer: -1086 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1696208706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(23*v + 13 - 24*v + 10).\nAnswer: -2*v + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4464205, -4464200, -4464195?\n\"Answer: 5*h - 4464210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 752112, 1504238, 2256410, 3008652, 3760988, 4513442?\n\"Answer: 4*u**3 - u**2 + 752101*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(3 + -3 + (2*sqrt(85))\/sqrt(5) + 2).\nAnswer: -2*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s**3 + s**2 + s + 1. Let a be p(-1). Let y(m) = m**2 + 8*m + 11. What is the units digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 12 = 4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -733.14 - -741. Let u = -8.36 + k. What is the third smallest value in 25, u, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/25*4\/(-2))\/(57\/285).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3346\/11711)\/(1\/28*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a4 + -5?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5553 is divided by 5487?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 divided by 1?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/2))**(38\/5) assuming i is positive.\nAnswer: i**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 97 = m, -6*m + 236 = 5*p - 2*m. Calculate the remainder when 94 is divided by p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -257140.3961786?\nAnswer: 257135.3961786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 s when four letters picked without replacement from bbsjbsbssjbs.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 22.0000092. What is l rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 2975788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 + 48 - 24 - 25)*(-4*g + 0*g + 6*g) to w + f*g + n*g**2 + p*g**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.165 - -6.52. Let i = y + -1.055. What is the fourth smallest value in 0.3, 0, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 38 = -h - 3*h, -66 = -3*b + 3*h. Calculate the least common multiple of b and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702 a factor of 44255959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -99b?\nAnswer: 99d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/972)\/(4 + 430755306\/(-107688828)). Let r = -55395 + n. What is the common denominator of -7\/198 and r?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.105273 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -70387 take away 0.2?\nAnswer: -70387.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b + 25. Suppose 0 = v - 5*v. Let w(t) = -t**2 + t + 13. Calculate the remainder when w(v) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -140*q**2. Let h be y(-1). Let b = h + 219. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -59.067\nAnswer: 35.4402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 28. Let j = r + -9. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 - 225 = -20*d. Suppose -d*t + 76 + 1099 = 0. Solve 42 - t = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 114. Let b(v) = -3*v + 114. Let d(f) = 6*b(f) - 5*l(f). What are the prime factors of d(0)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52361597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -48250 to the nearest 1000.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + -13 - 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 1 = 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*k - 3, 3*k + 6 = 2*v + 5*k. Solve 4 = -h + v*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = 2*x - 5*x, -3*g = 2*x - 9. Factor 15*h**2 + 9*h + g*h**2 - 3*h**2 + h.\nAnswer: 5*h*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 14 - 18 - 12) + (-22 - -29).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2638*w**2 - 6395*w**2 - 6045*w**2 as p + h*w + c*w**2 and give c.\nAnswer: -15078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 + 22.7. Let x = w + -70. Let h = x + 41.9989. Round h to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 484 - 8 = 0. Suppose 0 = 16*v - 76 - t. Calculate the remainder when 52 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4572556?\nAnswer: 2, 193, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/30 - 47\/6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-29)*s*s**(2\/31))\/(s*((s**(-43)*s)\/s)\/s*s\/(s\/s**33)))**(-17) assuming s is positive.\nAnswer: s**(9452\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11123 (base 4) to base 13\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 = -5*x - 48, 29 = -3*x - n. Let m = -7 - x. Solve 0 = -5*b + 4*v - 15, -2*b + 3*v - 9 - m = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c = -29*c - 7. Suppose -6*g + c*g = 263. Suppose -3*o + g = -o + n, -o + n = -124. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 9:13 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-20))\/(6\/(-40)). Calculate the common denominator of (-2 - (-14)\/y) + 2 and 146\/36 - (-2)\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*m - 1 + (-2*m + 7*m + 5*m)*(1 + 2 + 0))*(-3*m**2 - 5*m**2 + 2*m**2).\nAnswer: -192*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - j + 40. Let c = 2 - -2. Suppose 4*s = 3*r - 6, 4*s + r - 3*r + c = 0. Does 20 divide m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 10:52 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {w: 7, a: 5}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.032 times 0.02\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1890306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23001301211 - -112?\nAnswer: -23001301033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-3 + -5 + 3). Find the second derivative of 12*p**4 + 8*p**n - 84*p + 53*p wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 + -477. Let o = 12 - l. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -5\/6*l**4 + 0*l**2 + 0*l**3 + 13\/30*l**6 + 0 - 71*l + 0*l**5. What is the third derivative of y(j) wrt j?\nAnswer: 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*w**2 + 3)*(11 + 6 - 2).\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/9 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*t**3*z**3 + 14*d**3*t**2 + 4*d**3*t + 41*d*t**3*z**3 - 2*t**2*z**3 wrt t.\nAnswer: 6*d**3*z**3 + 246*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 61*j**2 - 620*j + 0 + 622*j as g*j**2 + m + o*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 - 7*p - 16. Let o(y) = y**2 - 1. Let j(k) = -n(k) + 5*o(k). Let i be ((-2)\/(-5))\/(7\/140). What is j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 3. Let k = 489 - 1466\/3. What is the second smallest value in 3, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*o + 33. Suppose 4*l - o = 3*d, -l - l = 5*d - 16. Suppose s + 2*a - 5*a = 14, -3*s + 70 = -d*a. Calculate the highest common divisor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, 6, 1, 4, -1 in descending order.\nAnswer: 6, 4, 1, -1, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/169824 and 101\/9272.\nAnswer: 3226656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 13*v**2 - 9*v + 18. Let f be s(7). Suppose 27*t - f*t = 552. Let a = -9 + 23. Calculate the remainder when t is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 110 = -30*g, -10*x - 4*g = -7*x - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153 - 151. Factor -b*g**2 - 5\/2*g - 1 - 1\/2*g**3.\nAnswer: -(g + 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865*t + 10851*t - 43712 = -442056 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 39*v - 416. Is y(53) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29 and -8792554846343?\nAnswer: 8792554846372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 7*g - 1. What is the tens digit of x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 155 = -4*j. Let r be 2\/38 + (-4356)\/(-627). Suppose j - 906 = -r*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444494556 divided by 24156?\nAnswer: 18401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 6*a**2 - 22*a + 132. Let c be p(6). Factor -8\/3*k**4 + c*k + 4\/3*k**3 + 0*k**2 + 0 + 4\/3*k**5.\nAnswer: 4*k**3*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220 - 217. Suppose -n*j - 897 = -3*v, v - 6*v + 1486 = 4*j. What are the prime factors of v?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(91)*-4)\/((sqrt(28) + sqrt(28)*1)\/sqrt(4)))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 3, f: 7, o: 5}. Give prob of sequence oxf.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10997.8 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -349, -1538, -3519, -6292?\n\"Answer: -396*h**2 - h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 + 3 = 0. Let v = n + 0. Let c be (-2)\/(-9)*v*-6. Solve 0 = 5*a + c + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/95725?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**3 + 5*v**2 - 55398*v + 55398*v + (-4*v - v + 3*v)*(-3 + v**2 + 3).\nAnswer: 4*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-64)*-1*4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {v: 7, a: 12}?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21874 is divided by 10931.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (5 + -5 - (23 + -22))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*v - 43661 + 13490 - 34467 = 897*v for v.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198 + m**2 + 30*m**3 - 90 + 0*m**2 - 108 - 2*m to the form l*m**3 + p + f*m**2 + o*m and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**2 - 18663*z - 93534. Determine v(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 611 = -699. Let j = r + -262. What is the nearest to 2 in 1\/6, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:29 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9001, 9577, 10153?\nAnswer: 10729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7499543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 3\/46, -4 in decreasing order.\nAnswer: 44, 3\/46, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -12*w + 2. Let y be m(3). Let f = -14 - y. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 0, 1, -2 in increasing order.\nAnswer: -2, 0, 1, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 1.597 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7720 and 2178?\nAnswer: 8407080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 2 - 8)\/(-2). Suppose 4*r - 4 = 4*v, 0 = a*v - 2*v + 4*r + 14. What is the units digit of -2 + v\/((-6)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 1\/180*w**5 + 0*w + 0 + 32*w**2 + 1\/18*w**3 - 1\/36*w**4. Solve k(y) = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 - 3. Let c = -522 - -522. Let s be (10\/(-15))\/(4\/6). What is the closest to s in c, -3, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -461315*h**3*q - 15*h**3 - 23*h**2*q + 43*h**2 + 32809*h wrt h.\nAnswer: -2767890*q - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 5*l + 2. Let r be s(3). Suppose -4*n + r + 7 = 0, 4*q + n - 75 = 0. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 171?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -443 by 2.\nAnswer: -443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18267*d + 81210 wrt d.\nAnswer: 18267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1111, 1138, 1181, 1234, 1291, 1346, 1393?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4868*b + 4869*b - 36, -172 = 20*m - 4*b for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 9. Suppose -11 = -3*w + p. Solve h = w*o + 10, -3*h + o - 3 = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}